{"turn": 0, "might_be": "a seesaw caught mid-tip", "next": "A short upright piece tucked under the middle of the blue beam, pinned through a centre hole, so the beam can pivot.", "want_piece": "beam", "want_on": "medium blue", "taste": "a plank on one pin, one second before it tips", "pick": 4, "candidates": [{"name": "32524", "aimed": true, "p": 0.015, "T": [[-0.0, 1.0, 0.0, -7.927], [-1.0, -0.0, 0.0, -15.927], [0.0, 0.0, 1.0, 8.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 7 is pinned (a pin through both) to a existing Technic Beam 7. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 48 mm past the edge of the existing piece; 87% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.99, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.58, "red centre across the grey, studs from its centre": 0.99, "red centre above the grey centre, mm": 8.0, "farthest point of red from the grey centre, studs": 5.13}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 31.9, "share of red footprint not over the grey": 0.87}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 0.81, "can swing on its pin": true}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.4, "centre of mass offset from the grey centre, studs": 1.11}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 26, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 6.9 x 2.0", "how full that box is (1 = solid)": 0.08, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.21}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.193, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 16.0, "build footprint after, studs": "6.9 x 6.9", "new piece distance from the build centre, studs": 2.44, "build centre of mass outside the first piece footprint, mm": 0.4, "pieces in the build after": 2}, "where": {"joins the": "medium blue Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.5, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.93, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.39, "new piece": "Technic Beam 7"}}}, {"name": "32316", "aimed": true, "p": 0.135, "T": [[1.0, 0.0, 0.0, 0.0], [0.0, 1.0, 0.0, 8.0], [0.0, 0.0, 1.0, 8.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 is pinned (a pin through both) to a existing Technic Beam 7. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.29, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 8.0, "farthest point of red from the grey centre, studs": 3.76}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 4.41, "can swing on its pin": true}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.41}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 14, "connectors the join covered up": 10}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 0.9 x 2.0", "how full that box is (1 = solid)": 0.51, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.86}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 1.245, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.697}, "the whole build": {"build height after, mm": 16.0, "build footprint after, studs": "0.9 x 6.9", "new piece distance from the build centre, studs": 1.41, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "medium blue Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.5, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.26, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.28, "new piece": "Technic Beam 5"}}}, {"name": "32017", "aimed": true, "p": 0.085, "T": [[-0.0, 1.0, 0.0, 15.927], [-1.0, -0.0, 0.0, 7.927], [0.0, 0.0, 1.0, 6.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 thin (1x5 liftarm) is pinned (a pin through both) to a existing Technic Beam 7. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 32 mm past the edge of the existing piece; 82% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.99, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.29, "red centre across the grey, studs from its centre": 1.99, "red centre above the grey centre, mm": 6.0, "farthest point of red from the grey centre, studs": 4.67}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 31.9, "share of red footprint not over the grey": 0.82}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 0.81, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 4.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 1.0, "centre of mass offset from the grey centre, studs": 0.64}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 22, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 4.9 x 1.5", "how full that box is (1 = solid)": 0.1, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.36}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.329}, "the whole build": {"build height after, mm": 12.0, "build footprint after, studs": "4.9 x 6.9", "new piece distance from the build centre, studs": 2.35, "build centre of mass outside the first piece footprint, mm": 1.0, "pieces in the build after": 2}, "where": {"joins the": "medium blue Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.25, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 1.09, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.07, "new piece": "Technic Beam 5 thin (1x5 liftarm)"}}}, {"name": "3701", "aimed": false, "p": 0.265, "T": [[0.0, -0.0, 1.0, 4.073], [1.0, 0.0, -0.0, 7.927], [0.0, 1.0, 0.0, 8.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x4 with holes is pinned (a pin through both) to a existing Technic Beam 7. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 4 mm past the edge of the existing piece; 36% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.99, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.29, "red centre across the grey, studs from its centre": 0.01, "red centre above the grey centre, mm": 8.0, "farthest point of red from the grey centre, studs": 3.42}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 2.1, "share of red footprint not over the grey": 0.36}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 3.6, "can swing on its pin": true}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.44}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 12, "connectors the join covered up": 8}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 1.4 x 2.0", "how full that box is (1 = solid)": 0.37, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.85}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 1.146, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.993}, "the whole build": {"build height after, mm": 16.0, "build footprint after, studs": "1.4 x 6.9", "new piece distance from the build centre, studs": 1.41, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "medium blue Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.5, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.29, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.27, "new piece": "Technic Brick 1x4 with holes"}}}, {"name": "3894", "aimed": false, "p": 0.37, "T": [[-1.0, 0.0, 0.0, -16.0], [-0.0, -0.0, -1.0, 3.855], [0.0, -1.0, 0.0, -8.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x6 with holes is pinned (a pin through both) to a existing Technic Beam 7. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is in the middle. It hangs 41 mm past the edge of the existing piece; 85% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.98, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.28, "red centre across the grey, studs from its centre": 2.0, "red centre above the grey centre, mm": -8.0, "farthest point of red from the grey centre, studs": 5.48}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 36.4, "share of red footprint not over the grey": 0.85}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 1.26, "can swing on its pin": true}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 5.1, "centre of mass offset from the grey centre, studs": 1.2}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 22, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 6.0 x 2.0", "how full that box is (1 = solid)": 0.11, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.36}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.798}, "the whole build": {"build height after, mm": 16.0, "build footprint after, studs": "6.0 x 6.9", "new piece distance from the build centre, studs": 2.42, "build centre of mass outside the first piece footprint, mm": 5.1, "pieces in the build after": 2}, "where": {"joins the": "medium blue Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.5, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.6, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.61, "new piece": "Technic Brick 1x6 with holes"}}}, {"name": "2905", "aimed": false, "p": 0.065, "T": [[1.0, 0.0, 0.0, 0.0], [0.0, -1.0, -0.0, 40.145], [0.0, 0.0, -1.0, -6.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 3x3 bent thin (L) is pinned (a pin through both) to a existing Technic Beam 7. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 32 mm past the edge of the existing piece; 94% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 4.02, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.16, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.0, "farthest point of red from the grey centre, studs": 5.94}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.1, "past the grey side, mm": 16.0, "share of red footprint not over the grey": 0.94}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 0.79, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.89}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 22, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "8.9 x 4.9 x 1.5", "how full that box is (1 = solid)": 0.12, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.495}, "the whole build": {"build height after, mm": 12.0, "build footprint after, studs": "4.9 x 8.9", "new piece distance from the build centre, studs": 4.64, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "medium blue Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.25, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 1.19, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -1.3, "new piece": "Technic Beam 3x3 bent thin (L)"}}}, {"name": "32316", "aimed": false, "p": 0.015, "T": [[-0.0, 1.0, 0.0, 0.073], [-1.0, -0.0, 0.0, -23.927], [0.0, 0.0, 1.0, 8.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 is pinned (a pin through both) to a existing Technic Beam 7. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 32 mm past the edge of the existing piece; 82% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.99, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.87, "red centre across the grey, studs from its centre": 0.01, "red centre above the grey centre, mm": 8.0, "farthest point of red from the grey centre, studs": 4.31}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 16.1, "share of red footprint not over the grey": 0.82}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 0.81, "can swing on its pin": true}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.24}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 22, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 4.9 x 2.0", "how full that box is (1 = solid)": 0.09, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.56}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.697}, "the whole build": {"build height after, mm": 16.0, "build footprint after, studs": "4.9 x 6.9", "new piece distance from the build centre, studs": 3.15, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "medium blue Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.5, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.78, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.85, "new piece": "Technic Beam 5"}}}, {"name": "2905", "aimed": false, "p": 0.05, "T": [[0.0, -1.0, 0.0, 16.073], [1.0, 0.0, 0.0, -0.073], [0.0, 0.0, 1.0, 6.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 3x3 bent thin (L) is pinned (a pin through both) to a existing Technic Beam 7. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 16 mm past the edge of the existing piece; 69% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 1.01, "red centre above the grey centre, mm": 6.0, "farthest point of red from the grey centre, studs": 3.44}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 16.1, "share of red footprint not over the grey": 0.69}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 4.37, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 4.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 1.6, "centre of mass offset from the grey centre, studs": 0.65}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 18, "connectors the join covered up": 6}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 2.9 x 1.5", "how full that box is (1 = solid)": 0.27, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.526}, "the whole build": {"build height after, mm": 12.0, "build footprint after, studs": "2.9 x 6.9", "new piece distance from the build centre, studs": 1.74, "build centre of mass outside the first piece footprint, mm": 1.6, "pieces in the build after": 2}, "where": {"joins the": "medium blue Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.25, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.66, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.28, "new piece": "Technic Beam 3x3 bent thin (L)"}}}]}
{"turn": 1, "might_be": "a little catapult, a second before launch", "next": "A small round piece sitting up on the far left end of the blue beam, like a stone in the cup.", "want_piece": "round", "want_on": "medium blue", "taste": "a lever pinned off-centre, loaded and waiting to fling", "pick": 0, "candidates": [{"name": "32017", "aimed": false, "p": 0.46, "T": [[1.0, 0.0, 0.0, -0.0], [0.0, 1.0, 0.0, 32.0], [0.0, 0.0, 1.0, 6.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 thin (1x5 liftarm) is pinned (a pin through both) to a existing Technic Beam 7. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 24 mm past the edge of the existing piece; 61% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 4.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.16, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.0, "farthest point of red from the grey centre, studs": 6.53}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 24.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.61}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 1.71, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 4.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.16}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 20, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "9.9 x 0.9 x 1.5", "how full that box is (1 = solid)": 0.38, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.498, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.329}, "the whole build": {"build height after, mm": 20.0, "build footprint after, studs": "6.0 x 9.9", "new piece distance from the build centre, studs": 3.89, "build centre of mass outside the first piece footprint, mm": 3.7, "pieces in the build after": 3}, "where": {"joins the": "medium blue Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.12, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 1.03, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.81, "new piece": "Technic Beam 5 thin (1x5 liftarm)"}}}, {"name": "32524", "aimed": false, "p": 0.085, "T": [[-1.0, -0.0, 0.0, -0.0], [0.0, -1.0, 0.0, 0.145], [0.0, 0.0, 1.0, 8.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 7 is pinned (a pin through both) to a existing Technic Beam 7. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 4 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.02, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.01, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 8.0, "farthest point of red from the grey centre, studs": 3.78}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.1, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 6.19, "can swing on its pin": true}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.01}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 14, "connectors the join covered up": 14}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 0.9 x 2.0", "how full that box is (1 = solid)": 0.6, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 1.0}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 1.329, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 24.0, "build footprint after, studs": "6.0 x 6.9", "new piece distance from the build centre, studs": 1.86, "build centre of mass outside the first piece footprint, mm": 2.4, "pieces in the build after": 3}, "where": {"joins the": "medium blue Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.25, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.33, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.15, "new piece": "Technic Beam 7"}}}, {"name": "3701", "aimed": false, "p": 0.215, "T": [[1.0, 0.0, 0.0, 0.0], [0.0, 0.0, -1.0, 3.855], [0.0, 1.0, 0.0, 8.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x4 with holes is pinned (a pin through both) to a existing Technic Beam 7. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 25 mm past the edge of the existing piece; 78% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.98, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.28, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 8.0, "farthest point of red from the grey centre, studs": 3.01}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 12.4, "share of red footprint not over the grey": 0.78}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 1.26, "can swing on its pin": true}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.4}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 18, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 4.0 x 2.0", "how full that box is (1 = solid)": 0.13, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.86}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.383, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.859}, "the whole build": {"build height after, mm": 24.0, "build footprint after, studs": "7.0 x 6.9", "new piece distance from the build centre, studs": 1.86, "build centre of mass outside the first piece footprint, mm": 2.8, "pieces in the build after": 3}, "where": {"joins the": "medium blue Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.25, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.48, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.06, "new piece": "Technic Brick 1x4 with holes"}}}, {"name": "32017", "aimed": false, "p": 0.13, "T": [[1.0, 0.0, 0.0, 0.0], [0.0, 1.0, 0.0, 8.145], [0.0, 0.0, 1.0, 6.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 thin (1x5 liftarm) is pinned (a pin through both) to a existing Technic Beam 7. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.02, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.3, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.0, "farthest point of red from the grey centre, studs": 3.61}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.1, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 4.39, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 4.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.29}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 14, "connectors the join covered up": 10}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 0.9 x 1.5", "how full that box is (1 = solid)": 0.54, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.85}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 1.234, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.329}, "the whole build": {"build height after, mm": 20.0, "build footprint after, studs": "6.0 x 6.9", "new piece distance from the build centre, studs": 1.7, "build centre of mass outside the first piece footprint, mm": 3.7, "pieces in the build after": 3}, "where": {"joins the": "medium blue Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.12, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.5, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.09, "new piece": "Technic Beam 5 thin (1x5 liftarm)"}}}, {"name": "3700", "aimed": false, "p": 0.11, "T": [[0.0, -0.0, 1.0, 4.073], [-1.0, -0.0, 0.0, 7.927], [0.0, -1.0, -0.0, -16.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x2 with hole is pinned (a pin through both) to a existing Technic Brick 1x6 with holes. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 5 mm past the edge of the existing piece; 30% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.67, "red centre across the grey, studs from its centre": 0.01, "red centre above the grey centre, mm": -8.0, "farthest point of red from the grey centre, studs": 3.09}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 2.5, "share of red footprint not over the grey": 0.3}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 1.96, "can swing on its pin": true}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.56}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 10, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 2.0 x 2.0", "how full that box is (1 = solid)": 0.28, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.66}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 1.05, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.418}, "the whole build": {"build height after, mm": 24.0, "build footprint after, studs": "6.0 x 6.9", "new piece distance from the build centre, studs": 1.96, "build centre of mass outside the first piece footprint, mm": 3.5, "pieces in the build after": 3}, "where": {"joins the": "orange Technic Brick 1x6 with holes", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.25, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.54, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.06, "new piece": "Technic Brick 1x2 with hole"}}}]}
{"turn": 2, "might_be": "a trebuchet, a second before release", "next": "A small round piece at the far right tip of the lime arm, like the stone sitting in the sling.", "want_piece": "round", "want_on": "lime", "taste": "a lime surprise that turned a lever into a whip", "pick": 2, "candidates": [{"name": "2905", "aimed": false, "p": 0.135, "T": [[1.0, 0.0, 0.0, -24.0], [0.0, -1.0, -0.0, 7.855], [0.0, 0.0, -1.0, -14.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 3x3 bent thin (L) is pinned (a pin through both) to a existing Technic Brick 1x6 with holes. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 14 mm past the edge of the existing piece; 64% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.33, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": -6.0, "farthest point of red from the grey centre, studs": 3.59}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 3.6, "past the grey side, mm": 14.0, "share of red footprint not over the grey": 0.64}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 5.12, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.42}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 13, "connectors the join covered up": 7}, "shape": {"pair bounding box, studs (long x short x tall)": "6.5 x 3.2 x 1.5", "how full that box is (1 = solid)": 0.31, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.42}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.75, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.395}, "the whole build": {"build height after, mm": 24.0, "build footprint after, studs": "6.5 x 9.9", "new piece distance from the build centre, studs": 3.07, "build centre of mass outside the first piece footprint, mm": 7.3, "pieces in the build after": 4}, "where": {"joins the": "orange Technic Brick 1x6 with holes", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.1, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.54, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.18, "new piece": "Technic Beam 3x3 bent thin (L)"}}}, {"name": "3894", "aimed": false, "p": 0.05, "T": [[-0.0, 0.0, -1.0, -12.073], [1.0, -0.0, -0.0, 15.927], [-0.0, -1.0, -0.0, -16.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x6 with holes is pinned (a pin through both) to a existing Technic Brick 1x6 with holes. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 37 mm past the edge of the existing piece; 77% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.99, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.33, "red centre across the grey, studs from its centre": 1.01, "red centre above the grey centre, mm": -8.0, "farthest point of red from the grey centre, studs": 4.6}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 26.5, "share of red footprint not over the grey": 0.77}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 1.96, "can swing on its pin": true}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.66}, "openness": {"free studs on the pair": 12, "free hole ends on the pair": 18, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 6.0 x 2.0", "how full that box is (1 = solid)": 0.14, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.41}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.806}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "6.0 x 9.9", "new piece distance from the build centre, studs": 1.99, "build centre of mass outside the first piece footprint, mm": 4.1, "pieces in the build after": 4}, "where": {"joins the": "orange Technic Brick 1x6 with holes", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.2, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.09, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.23, "new piece": "Technic Brick 1x6 with holes"}}}, {"name": "32017", "aimed": false, "p": 0.635, "T": [[0.0, -1.0, 0.0, 16.073], [1.0, 0.0, 0.0, -8.073], [0.0, 0.0, 1.0, 6.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 thin (1x5 liftarm) is pinned (a pin through both) to a existing Technic Beam 7. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 32 mm past the edge of the existing piece; 82% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.29, "red centre across the grey, studs from its centre": 2.01, "red centre above the grey centre, mm": 6.0, "farthest point of red from the grey centre, studs": 4.69}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 32.1, "share of red footprint not over the grey": 0.82}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 0.8, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 4.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 1.1, "centre of mass offset from the grey centre, studs": 0.65}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 22, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 4.9 x 1.5", "how full that box is (1 = solid)": 0.1, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.35}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.329}, "the whole build": {"build height after, mm": 20.0, "build footprint after, studs": "9.5 x 9.9", "new piece distance from the build centre, studs": 3.86, "build centre of mass outside the first piece footprint, mm": 0.6, "pieces in the build after": 4}, "where": {"joins the": "medium blue Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.9, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.36, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.75, "new piece": "Technic Beam 5 thin (1x5 liftarm)"}}}, {"name": "3701", "aimed": false, "p": 0.045, "T": [[1.0, 0.0, 0.0, -24.0], [-0.0, -0.0, 1.0, 12.0], [0.0, -1.0, -0.0, -16.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x4 with holes is pinned (a pin through both) to a existing Technic Brick 1x6 with holes. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.33, "red centre across the grey, studs from its centre": 0.02, "red centre above the grey centre, mm": -8.0, "farthest point of red from the grey centre, studs": 3.42}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.1, "share of red footprint not over the grey": 0.01}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 5.53, "can swing on its pin": true}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.4}, "openness": {"free studs on the pair": 10, "free hole ends on the pair": 9, "connectors the join covered up": 7}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.4 x 2.0", "how full that box is (1 = solid)": 0.49, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.83}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 1.15, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": -1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.685}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "6.0 x 9.9", "new piece distance from the build centre, studs": 3.07, "build centre of mass outside the first piece footprint, mm": 7.7, "pieces in the build after": 4}, "where": {"joins the": "orange Technic Brick 1x6 with holes", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.2, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.47, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.29, "new piece": "Technic Brick 1x4 with holes"}}}, {"name": "3702", "aimed": false, "p": 0.135, "T": [[1.0, 0.0, 0.0, -32.0], [-0.0, -0.0, 1.0, 12.0], [0.0, -1.0, -0.0, -16.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x8 with holes is pinned (a pin through both) to a existing Technic Brick 1x6 with holes. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 24 mm past the edge of the existing piece; 38% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.67, "red centre across the grey, studs from its centre": 0.02, "red centre above the grey centre, mm": -8.0, "farthest point of red from the grey centre, studs": 6.22}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 24.0, "past the grey side, mm": 0.1, "share of red footprint not over the grey": 0.38}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 6.91, "can swing on its pin": true}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.14}, "openness": {"free studs on the pair": 14, "free hole ends on the pair": 14, "connectors the join covered up": 10}, "shape": {"pair bounding box, studs (long x short x tall)": "9.0 x 1.4 x 2.0", "how full that box is (1 = solid)": 0.46, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.66}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.771, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": -1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.76}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "9.0 x 9.9", "new piece distance from the build centre, studs": 3.89, "build centre of mass outside the first piece footprint, mm": 13.1, "pieces in the build after": 4}, "where": {"joins the": "orange Technic Brick 1x6 with holes", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.2, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.7, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.41, "new piece": "Technic Brick 1x8 with holes"}}}]}
{"turn": 3, "might_be": "a little windmill catching the first gust", "next": "A long beam pinned on the green beam's black pin, reaching down and to the left, to finish the cross of sails.", "want_piece": "beam", "want_on": "green", "taste": "crossed beams on pins, like sails a second before the wind takes them", "pick": 0, "candidates": [{"name": "32316", "aimed": true, "p": 0.475, "T": [[-1.0, -0.0, -0.0, 16.145], [-0.0, 1.0, 0.0, 7.855], [0.0, 0.0, -1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is in the middle. It hangs 32 mm past the edge of the existing piece; 82% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 1.99, "red centre above the grey centre, mm": -6.0, "farthest point of red from the grey centre, studs": 4.61}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 31.9, "share of red footprint not over the grey": 0.82}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 0.81, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 6.5, "centre of mass offset from the grey centre, studs": 1.26}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 18, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.9 x 4.9 x 1.5", "how full that box is (1 = solid)": 0.11, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.472}, "the whole build": {"build height after, mm": 20.0, "build footprint after, studs": "9.5 x 9.9", "new piece distance from the build centre, studs": 2.02, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 5}, "where": {"joins the": "green Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.6, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.64, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.29, "new piece": "Technic Beam 5"}}}, {"name": "32316", "aimed": true, "p": 0.16, "T": [[1.0, 0.0, 0.0, 32.0], [0.0, 1.0, 0.0, -0.0], [0.0, 0.0, 1.0, 12.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 32 mm past the edge of the existing piece; 82% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.99, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.81, "red centre across the grey, studs from its centre": 1.01, "red centre above the grey centre, mm": 6.0, "farthest point of red from the grey centre, studs": 4.24}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 24.1, "share of red footprint not over the grey": 0.82}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 0.81, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 1.5, "centre of mass offset from the grey centre, studs": 1.42}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 18, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.9 x 4.9 x 1.5", "how full that box is (1 = solid)": 0.11, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.09}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.472}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "9.5 x 9.9", "new piece distance from the build centre, studs": 4.34, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 5}, "where": {"joins the": "green Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.2, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.94, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.71, "new piece": "Technic Beam 5"}}}, {"name": "32017", "aimed": true, "p": 0.005, "T": [[-0.0, 1.0, 0.0, 8.218], [-1.0, -0.0, 0.0, -8.073], [0.0, 0.0, 1.0, 10.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 thin (1x5 liftarm) is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 8 mm past the edge of the existing piece; 20% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.98, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.4, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 4.0, "farthest point of red from the grey centre, studs": 3.51}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 7.9, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.2}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 3.53, "can swing on its pin": true}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 4.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.49}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 12, "connectors the join covered up": 8}, "shape": {"pair bounding box, studs (long x short x tall)": "5.9 x 0.9 x 1.0", "how full that box is (1 = solid)": 0.5, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.8}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.995, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 24.0, "build footprint after, studs": "9.5 x 9.9", "new piece distance from the build centre, studs": 2.5, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 5}, "where": {"joins the": "green Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.1, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.14, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.55, "new piece": "Technic Beam 5 thin (1x5 liftarm)"}}}, {"name": "32017", "aimed": false, "p": 0.01, "T": [[-0.0, 1.0, 0.0, 24.218], [1.0, 0.0, 0.0, -8.073], [0.0, 0.0, -1.0, 2.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 thin (1x5 liftarm) is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 8 mm past the edge of the existing piece; 21% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.02, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.42, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -4.0, "farthest point of red from the grey centre, studs": 3.55}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.1, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.21}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 3.49, "can swing on its pin": true}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.51}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 12, "connectors the join covered up": 8}, "shape": {"pair bounding box, studs (long x short x tall)": "5.9 x 0.9 x 1.0", "how full that box is (1 = solid)": 0.5, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.79}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.995, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 20.0, "build footprint after, studs": "10.5 x 9.9", "new piece distance from the build centre, studs": 3.62, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 5}, "where": {"joins the": "green Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.7, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.58, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.78, "new piece": "Technic Beam 5 thin (1x5 liftarm)"}}}, {"name": "32316", "aimed": false, "p": 0.01, "T": [[-1.0, -0.0, 0.0, 0.0], [0.0, -1.0, 0.0, 32.145], [0.0, 0.0, 1.0, 12.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 4 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.02, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.01, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.0, "farthest point of red from the grey centre, studs": 2.77}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.1, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 4.39, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.01}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 10, "connectors the join covered up": 10}, "shape": {"pair bounding box, studs (long x short x tall)": "4.9 x 0.9 x 1.5", "how full that box is (1 = solid)": 0.6, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 1.0}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 1.222, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.472}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "9.5 x 9.9", "new piece distance from the build centre, studs": 3.34, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 5}, "where": {"joins the": "lime Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.2, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.61, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.53, "new piece": "Technic Beam 5"}}}, {"name": "32316", "aimed": false, "p": 0.01, "T": [[0.0, -1.0, -0.0, 24.073], [-1.0, -0.0, -0.0, -8.073], [0.0, 0.0, -1.0, -0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 8 mm past the edge of the existing piece; 20% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.41, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.0, "farthest point of red from the grey centre, studs": 3.67}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.2}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 3.51, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.63}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 12, "connectors the join covered up": 8}, "shape": {"pair bounding box, studs (long x short x tall)": "5.9 x 0.9 x 1.5", "how full that box is (1 = solid)": 0.5, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.8}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.995, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.472}, "the whole build": {"build height after, mm": 20.0, "build footprint after, studs": "10.5 x 9.9", "new piece distance from the build centre, studs": 3.61, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 5}, "where": {"joins the": "green Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.6, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.58, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.78, "new piece": "Technic Beam 5"}}}, {"name": "3701", "aimed": false, "p": 0.02, "T": [[-0.0, 0.0, -1.0, 4.073], [-1.0, -0.0, 0.0, -16.073], [0.0, 1.0, 0.0, 12.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x4 with holes is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 25 mm past the edge of the existing piece; 78% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.41, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 6.0, "farthest point of red from the grey centre, studs": 3.58}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 20.4, "share of red footprint not over the grey": 0.78}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 1.26, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 1.7, "centre of mass offset from the grey centre, studs": 0.98}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 14, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.9 x 4.0 x 1.5", "how full that box is (1 = solid)": 0.16, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.3}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.383, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.359}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "9.5 x 10.5", "new piece distance from the build centre, studs": 3.42, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 5}, "where": {"joins the": "green Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.2, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.02, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.73, "new piece": "Technic Brick 1x4 with holes"}}}, {"name": "32017", "aimed": false, "p": 0.31, "T": [[-1.0, -0.0, 0.0, 0.0], [0.0, -1.0, 0.0, 8.0], [0.0, 0.0, 1.0, 10.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 thin (1x5 liftarm) is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 32 mm past the edge of the existing piece; 82% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.82, "red centre across the grey, studs from its centre": 2.01, "red centre above the grey centre, mm": 4.0, "farthest point of red from the grey centre, studs": 4.99}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.1, "past the grey side, mm": 32.1, "share of red footprint not over the grey": 0.82}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 0.79, "can swing on its pin": true}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 4.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 4.4, "centre of mass offset from the grey centre, studs": 1.42}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 18, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.9 x 4.9 x 1.0", "how full that box is (1 = solid)": 0.11, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.09}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 24.0, "build footprint after, studs": "9.5 x 9.9", "new piece distance from the build centre, studs": 1.13, "build centre of mass outside the first piece footprint, mm": 0.1, "pieces in the build after": 5}, "where": {"joins the": "green Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.1, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.19, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.05, "new piece": "Technic Beam 5 thin (1x5 liftarm)"}}}]}
{"turn": 4, "might_be": "a rainbow plank stack about to topple", "next": "A long beam laid on top across the green beam's pins, sticking far out to the right over the edge, as if it's tipping.", "want_piece": "long", "want_on": "green", "taste": "rainbow planks piled up a second before the whole stack slides", "pick": 0, "candidates": [{"name": "32524", "aimed": true, "p": 0.93, "T": [[-0.0, 1.0, 0.0, -7.927], [-1.0, -0.0, 0.0, -8.073], [0.0, 0.0, 1.0, 12.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 7 is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 32 mm past the edge of the existing piece; 58% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 3.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.22, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.0, "farthest point of red from the grey centre, studs": 6.57}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 32.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.58}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 2.61, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 2.13}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 18, "connectors the join covered up": 6}, "shape": {"pair bounding box, studs (long x short x tall)": "8.9 x 0.9 x 1.5", "how full that box is (1 = solid)": 0.42, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.579, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.329}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "9.5 x 9.9", "new piece distance from the build centre, studs": 2.8, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 6}, "where": {"joins the": "green Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.2, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.32, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.31, "new piece": "Technic Beam 7"}}}, {"name": "32316", "aimed": true, "p": 0.005, "T": [[-1.0, -0.0, -0.0, 32.0], [-0.0, 1.0, 0.0, -16.0], [0.0, 0.0, -1.0, -0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 32 mm past the edge of the existing piece; 82% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.99, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.81, "red centre across the grey, studs from its centre": 0.99, "red centre above the grey centre, mm": -6.0, "farthest point of red from the grey centre, studs": 4.22}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 23.9, "share of red footprint not over the grey": 0.82}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 0.81, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 1.4, "centre of mass offset from the grey centre, studs": 1.41}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 18, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.9 x 4.9 x 1.5", "how full that box is (1 = solid)": 0.11, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.09}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.472}, "the whole build": {"build height after, mm": 20.0, "build footprint after, studs": "9.5 x 10.9", "new piece distance from the build centre, studs": 4.67, "build centre of mass outside the first piece footprint, mm": 1.3, "pieces in the build after": 6}, "where": {"joins the": "green Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.6, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.64, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 1.09, "new piece": "Technic Beam 5"}}}, {"name": "3894", "aimed": true, "p": 0.01, "T": [[-1.0, -0.0, 0.0, 16.0], [0.0, -0.0, 1.0, -4.0], [0.0, 1.0, 0.0, 12.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x6 with holes is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 9 mm past the edge of the existing piece; 48% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.01, "red centre above the grey centre, mm": 6.0, "farthest point of red from the grey centre, studs": 3.33}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 4.5, "past the grey side, mm": 2.1, "share of red footprint not over the grey": 0.48}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 4.41, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.05}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 10, "connectors the join covered up": 10}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.4 x 1.5", "how full that box is (1 = solid)": 0.5, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.99}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 1.243, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.263}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "10.0 x 9.9", "new piece distance from the build centre, studs": 2.86, "build centre of mass outside the first piece footprint, mm": 0.1, "pieces in the build after": 6}, "where": {"joins the": "green Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.2, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.34, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.65, "new piece": "Technic Brick 1x6 with holes"}}}, {"name": "3701", "aimed": false, "p": 0.005, "T": [[-1.0, -0.0, 0.0, 24.145], [0.0, -0.0, 1.0, -4.0], [0.0, 1.0, 0.0, 12.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x4 with holes is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 4 mm past the edge of the existing piece; 45% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.41, "red centre across the grey, studs from its centre": 0.01, "red centre above the grey centre, mm": 6.0, "farthest point of red from the grey centre, studs": 3.33}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 4.5, "past the grey side, mm": 2.1, "share of red footprint not over the grey": 0.45}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 3.1, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.67}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 9, "connectors the join covered up": 7}, "shape": {"pair bounding box, studs (long x short x tall)": "5.5 x 1.4 x 1.5", "how full that box is (1 = solid)": 0.41, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.79}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 1.146, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.383}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "10.0 x 9.9", "new piece distance from the build centre, studs": 3.52, "build centre of mass outside the first piece footprint, mm": 0.4, "pieces in the build after": 6}, "where": {"joins the": "green Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.2, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.57, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.77, "new piece": "Technic Brick 1x4 with holes"}}}, {"name": "3700", "aimed": false, "p": 0.0, "T": [[0.0, -0.0, 1.0, -19.927], [1.0, 0.0, -0.0, 7.927], [-0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x2 with hole is pinned (a pin through both) to a existing Technic Brick 1x6 with holes. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 5 mm past the edge of the existing piece; 30% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.99, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.33, "red centre across the grey, studs from its centre": 0.01, "red centre above the grey centre, mm": 8.0, "farthest point of red from the grey centre, studs": 2.48}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 2.5, "share of red footprint not over the grey": 0.3}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 1.96, "can swing on its pin": true}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.22}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 10, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 2.0 x 2.0", "how full that box is (1 = solid)": 0.28, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.83}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 1.05, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.284}, "the whole build": {"build height after, mm": 20.0, "build footprint after, studs": "9.5 x 9.9", "new piece distance from the build centre, studs": 3.26, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 6}, "where": {"joins the": "orange Technic Brick 1x6 with holes", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.6, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.46, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.29, "new piece": "Technic Brick 1x2 with hole"}}}, {"name": "3894", "aimed": false, "p": 0.005, "T": [[-1.0, -0.0, 0.0, -32.0], [0.0, 0.0, 1.0, 12.0], [-0.0, 1.0, -0.0, -0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x6 with holes is pinned (a pin through both) to a existing Technic Brick 1x6 with holes. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 16 mm past the edge of the existing piece; 34% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.67, "red centre across the grey, studs from its centre": 0.02, "red centre above the grey centre, mm": 8.0, "farthest point of red from the grey centre, studs": 5.26}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.0, "past the grey side, mm": 0.1, "share of red footprint not over the grey": 0.34}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 5.53, "can swing on its pin": true}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.0}, "openness": {"free studs on the pair": 12, "free hole ends on the pair": 12, "connectors the join covered up": 8}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 1.4 x 2.0", "how full that box is (1 = solid)": 0.44, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.66}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.75, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": -1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 20.0, "build footprint after, studs": "11.5 x 9.9", "new piece distance from the build centre, studs": 4.41, "build centre of mass outside the first piece footprint, mm": 4.4, "pieces in the build after": 6}, "where": {"joins the": "orange Technic Brick 1x6 with holes", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.6, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.7, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.44, "new piece": "Technic Brick 1x6 with holes"}}}, {"name": "2905", "aimed": false, "p": 0.0, "T": [[0.0, -1.0, 0.0, 16.073], [1.0, 0.0, 0.0, -8.073], [0.0, 0.0, 1.0, 10.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 3x3 bent thin (L) is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 32 mm past the edge of the existing piece; 82% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.41, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 4.0, "farthest point of red from the grey centre, studs": 2.56}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 16.0, "share of red footprint not over the grey": 0.82}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 2.61, "can swing on its pin": true}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 4.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.28}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 14, "connectors the join covered up": 6}, "shape": {"pair bounding box, studs (long x short x tall)": "4.9 x 4.9 x 1.0", "how full that box is (1 = solid)": 0.23, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.8}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.75, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.626}, "the whole build": {"build height after, mm": 24.0, "build footprint after, studs": "9.5 x 9.9", "new piece distance from the build centre, studs": 2.58, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 6}, "where": {"joins the": "green Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.1, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.24, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.61, "new piece": "Technic Beam 3x3 bent thin (L)"}}}, {"name": "32524", "aimed": false, "p": 0.045, "T": [[1.0, 0.0, 0.0, 16.145], [0.0, -1.0, -0.0, 40.0], [0.0, 0.0, -1.0, -8.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 7 is pinned (a pin through both) to a existing Technic Beam 5. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 40 mm past the edge of the existing piece; 73% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 4.02, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.64, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -8.0, "farthest point of red from the grey centre, studs": 7.62}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 40.1, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.73}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 1.69, "can swing on its pin": true}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 2.35}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 20, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "9.9 x 0.9 x 2.0", "how full that box is (1 = solid)": 0.36, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.384, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.697}, "the whole build": {"build height after, mm": 20.0, "build footprint after, studs": "9.5 x 11.9", "new piece distance from the build centre, studs": 4.47, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 6}, "where": {"joins the": "red Technic Beam 5", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.2, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 1.16, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.47, "new piece": "Technic Beam 7"}}}]}
{"turn": 5, "might_be": "rainbow pickup sticks, one about to be pulled", "next": "A thin yellow beam laid on top across the red beam's right end, angled up and out, like the stick someone is lifting.", "want_piece": "beam", "want_on": "red", "taste": "crossed rainbow sticks resting on each other, one touch from a clatter", "pick": 2, "candidates": [{"name": "32017", "aimed": true, "p": 0.03, "T": [[-1.0, -0.0, -0.0, 16.145], [-0.0, 1.0, 0.0, 31.709], [0.0, 0.0, -1.0, -6.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 thin (1x5 liftarm) is pinned (a pin through both) to a existing Technic Beam 5. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 24 mm past the edge of the existing piece; 61% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.98, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.22, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.0, "farthest point of red from the grey centre, studs": 5.52}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 23.9, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.61}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 1.73, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.09}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 16, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "7.9 x 0.9 x 1.5", "how full that box is (1 = solid)": 0.37, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.491, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.472}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "9.5 x 9.9", "new piece distance from the build centre, studs": 3.95, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 7}, "where": {"joins the": "red Technic Beam 5", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.21, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 1.02, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.28, "new piece": "Technic Beam 5 thin (1x5 liftarm)"}}}, {"name": "32316", "aimed": true, "p": 0.06, "T": [[1.0, 0.0, 0.0, 16.145], [0.0, 1.0, 0.0, 23.709], [0.0, 0.0, 1.0, 8.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 is pinned (a pin through both) to a existing Technic Beam 5. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 16 mm past the edge of the existing piece; 40% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.98, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.81, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 8.0, "farthest point of red from the grey centre, studs": 4.68}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 15.9, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.4}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 2.63, "can swing on its pin": true}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.99}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 14, "connectors the join covered up": 6}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 0.9 x 2.0", "how full that box is (1 = solid)": 0.43, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.6}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.738, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "9.5 x 9.9", "new piece distance from the build centre, studs": 3.03, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 7}, "where": {"joins the": "red Technic Beam 5", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.71, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.89, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.09, "new piece": "Technic Beam 5"}}}, {"name": "32017", "aimed": true, "p": 0.54, "T": [[-1.0, -0.0, 0.0, 16.145], [0.0, -1.0, -0.0, 40.0], [0.0, -0.0, 1.0, 6.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 thin (1x5 liftarm) is pinned (a pin through both) to a existing Technic Beam 5. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 32 mm past the edge of the existing piece; 82% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 4.02, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.64, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.0, "farthest point of red from the grey centre, studs": 6.55}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 32.1, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.82}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 0.79, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 4.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.47}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 18, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "8.9 x 0.9 x 1.5", "how full that box is (1 = solid)": 0.33, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.472}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "9.5 x 10.9", "new piece distance from the build centre, studs": 4.75, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 7}, "where": {"joins the": "red Technic Beam 5", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.64, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 1.15, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.47, "new piece": "Technic Beam 5 thin (1x5 liftarm)"}}}, {"name": "32316", "aimed": true, "p": 0.18, "T": [[-0.0, 1.0, 0.0, 32.073], [-1.0, -0.0, -0.0, 7.782], [-0.0, -0.0, 1.0, 8.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 is pinned (a pin through both) to a existing Technic Beam 5. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 32 mm past the edge of the existing piece; 82% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 1.99, "red centre above the grey centre, mm": 8.0, "farthest point of red from the grey centre, studs": 4.69}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 31.9, "share of red footprint not over the grey": 0.82}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 0.81, "can swing on its pin": true}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 4.4, "centre of mass offset from the grey centre, studs": 1.0}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 18, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.9 x 4.9 x 2.0", "how full that box is (1 = solid)": 0.11, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "11.5 x 9.9", "new piece distance from the build centre, studs": 3.91, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 7}, "where": {"joins the": "red Technic Beam 5", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.71, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 1.05, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.53, "new piece": "Technic Beam 5"}}}, {"name": "32524", "aimed": true, "p": 0.005, "T": [[-1.0, -0.0, -0.0, 16.145], [-0.0, 1.0, 0.0, 39.709], [0.0, 0.0, -1.0, -8.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 7 is pinned (a pin through both) to a existing Technic Beam 5. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 40 mm past the edge of the existing piece; 72% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 3.98, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.63, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -8.0, "farthest point of red from the grey centre, studs": 7.58}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 39.9, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.72}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 1.73, "can swing on its pin": true}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 2.33}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 20, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "9.9 x 0.9 x 2.0", "how full that box is (1 = solid)": 0.36, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.384, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.697}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "9.5 x 11.9", "new piece distance from the build centre, studs": 4.88, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 7}, "where": {"joins the": "red Technic Beam 5", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.14, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 1.15, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.47, "new piece": "Technic Beam 7"}}}, {"name": "32017", "aimed": false, "p": 0.005, "T": [[-0.0, 1.0, 0.0, 40.073], [1.0, 0.0, 0.0, -8.073], [0.0, 0.0, -1.0, 2.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 thin (1x5 liftarm) is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 24 mm past the edge of the existing piece; 61% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 3.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.22, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -4.0, "farthest point of red from the grey centre, studs": 5.5}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 24.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.61}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 1.71, "can swing on its pin": true}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.5}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 16, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "7.9 x 0.9 x 1.0", "how full that box is (1 = solid)": 0.37, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.5, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "12.5 x 9.9", "new piece distance from the build centre, studs": 5.11, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 7}, "where": {"joins the": "green Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.5, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 1.0, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 1.02, "new piece": "Technic Beam 5 thin (1x5 liftarm)"}}}, {"name": "32017", "aimed": false, "p": 0.005, "T": [[0.0, -1.0, -0.0, -24.073], [-1.0, -0.0, -0.0, 7.927], [0.0, 0.0, -1.0, -14.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 thin (1x5 liftarm) is pinned (a pin through both) to a existing Technic Brick 1x6 with holes. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 4 mm past the edge of the existing piece; 9% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.34, "red centre across the grey, studs from its centre": 0.01, "red centre above the grey centre, mm": -6.0, "farthest point of red from the grey centre, studs": 3.6}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 3.7, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.09}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 4.0, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.26}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 11, "connectors the join covered up": 9}, "shape": {"pair bounding box, studs (long x short x tall)": "6.5 x 1.4 x 1.5", "how full that box is (1 = solid)": 0.47, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.83}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.998, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.263}, "the whole build": {"build height after, mm": 32.0, "build footprint after, studs": "9.9 x 9.9", "new piece distance from the build centre, studs": 3.82, "build centre of mass outside the first piece footprint, mm": 0.1, "pieces in the build after": 7}, "where": {"joins the": "orange Technic Brick 1x6 with holes", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.07, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.42, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.31, "new piece": "Technic Beam 5 thin (1x5 liftarm)"}}}, {"name": "32524", "aimed": false, "p": 0.17, "T": [[-0.0, 1.0, 0.0, 0.073], [-1.0, -0.0, 0.0, 48.073], [0.0, 0.0, 1.0, 12.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 7 is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 48 mm past the edge of the existing piece; 87% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.82, "red centre across the grey, studs from its centre": 0.01, "red centre above the grey centre, mm": 6.0, "farthest point of red from the grey centre, studs": 4.25}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.1, "past the grey side, mm": 24.1, "share of red footprint not over the grey": 0.87}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 0.8, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.43}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 22, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 4.9 x 1.5", "how full that box is (1 = solid)": 0.1, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.59}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.193, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.329}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "9.5 x 9.9", "new piece distance from the build centre, studs": 5.49, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 7}, "where": {"joins the": "lime Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.86, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.87, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.9, "new piece": "Technic Beam 7"}}}]}
{"turn": 6, "might_be": "rainbow pickup sticks, one about to be pulled", "next": "A thin yellow beam on the red beam's right pin, angled steeply up and out to the right, clearly lifted above the pile.", "want_piece": "beam", "want_on": "red", "taste": "a tangled rainbow pile, the second before one stick lifts free", "pick": 1, "candidates": [{"name": "32017", "aimed": true, "p": 0.195, "T": [[0.0, -1.0, -0.0, 32.218], [1.0, 0.0, -0.0, -0.218], [0.0, -0.0, 1.0, 6.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 thin (1x5 liftarm) is pinned (a pin through both) to a existing Technic Beam 5. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 32 mm past the edge of the existing piece; 82% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.41, "red centre across the grey, studs from its centre": 2.01, "red centre above the grey centre, mm": 6.0, "farthest point of red from the grey centre, studs": 4.69}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 32.1, "share of red footprint not over the grey": 0.82}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 0.8, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 4.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 2.3, "centre of mass offset from the grey centre, studs": 0.82}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 18, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.9 x 4.9 x 1.5", "how full that box is (1 = solid)": 0.11, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.29}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.472}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "11.5 x 10.9", "new piece distance from the build centre, studs": 3.83, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 8}, "where": {"joins the": "red Technic Beam 5", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.64, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.52, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.72, "new piece": "Technic Beam 5 thin (1x5 liftarm)"}}}, {"name": "32524", "aimed": true, "p": 0.355, "T": [[-1.0, -0.0, 0.0, 16.145], [0.0, -1.0, -0.0, 72.0], [0.0, -0.0, 1.0, 12.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 7 is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 40 mm past the edge of the existing piece; 72% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 4.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.63, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.0, "farthest point of red from the grey centre, studs": 7.55}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 40.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.72}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 1.71, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 3.1, "centre of mass offset from the grey centre, studs": 2.84}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 20, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "9.9 x 0.9 x 1.5", "how full that box is (1 = solid)": 0.38, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.384, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.329}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "9.5 x 15.9", "new piece distance from the build centre, studs": 7.97, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 8}, "where": {"joins the": "red Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.86, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 1.12, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -1.23, "new piece": "Technic Beam 7"}}}, {"name": "32524", "aimed": true, "p": 0.015, "T": [[-0.0, 1.0, 0.0, 24.218], [1.0, 0.0, 0.0, 40.073], [0.0, 0.0, -1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 7 is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is in the middle. It hangs 48 mm past the edge of the existing piece; 87% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 1.01, "red centre above the grey centre, mm": -6.0, "farthest point of red from the grey centre, studs": 4.63}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 32.1, "share of red footprint not over the grey": 0.87}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 0.81, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 2.1, "centre of mass offset from the grey centre, studs": 0.72}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 22, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 4.9 x 1.5", "how full that box is (1 = solid)": 0.1, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.193, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.329}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "11.5 x 10.9", "new piece distance from the build centre, studs": 4.57, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 8}, "where": {"joins the": "red Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.43, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.87, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.36, "new piece": "Technic Beam 7"}}}, {"name": "32017", "aimed": true, "p": 0.14, "T": [[0.0, -1.0, -0.0, 16.073], [1.0, 0.0, -0.0, 48.073], [0.0, -0.0, 1.0, 10.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 thin (1x5 liftarm) is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 32 mm past the edge of the existing piece; 82% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.41, "red centre across the grey, studs from its centre": 0.01, "red centre above the grey centre, mm": 4.0, "farthest point of red from the grey centre, studs": 2.8}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 16.1, "share of red footprint not over the grey": 0.82}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 0.81, "can swing on its pin": true}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 4.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.51}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 18, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.9 x 4.9 x 1.0", "how full that box is (1 = solid)": 0.11, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.79}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "9.5 x 10.9", "new piece distance from the build centre, studs": 5.07, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 8}, "where": {"joins the": "red Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.79, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.81, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.67, "new piece": "Technic Beam 5 thin (1x5 liftarm)"}}}, {"name": "32316", "aimed": true, "p": 0.02, "T": [[-1.0, -0.0, 0.0, 16.145], [0.0, -1.0, -0.0, 40.0], [0.0, -0.0, 1.0, 12.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 4 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.0, "farthest point of red from the grey centre, studs": 2.75}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 4.41, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.0}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 10, "connectors the join covered up": 10}, "shape": {"pair bounding box, studs (long x short x tall)": "4.9 x 0.9 x 1.5", "how full that box is (1 = solid)": 0.6, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 1.0}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 1.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.472}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "9.5 x 10.9", "new piece distance from the build centre, studs": 4.2, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 8}, "where": {"joins the": "red Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.86, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.71, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.47, "new piece": "Technic Beam 5"}}}, {"name": "3701", "aimed": false, "p": 0.005, "T": [[-1.0, -0.0, 0.0, -8.0], [0.0, -0.0, 1.0, -4.0], [0.0, 1.0, 0.0, 20.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x4 with holes is pinned (a pin through both) to a existing Technic Beam 7. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 4 mm past the edge of the existing piece; 36% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.01, "red centre above the grey centre, mm": 8.0, "farthest point of red from the grey centre, studs": 2.6}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 2.1, "share of red footprint not over the grey": 0.36}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 3.6, "can swing on its pin": true}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.04}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 12, "connectors the join covered up": 8}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 1.4 x 2.0", "how full that box is (1 = solid)": 0.37, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.99}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 1.15, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.859}, "the whole build": {"build height after, mm": 36.0, "build footprint after, studs": "9.5 x 10.9", "new piece distance from the build centre, studs": 3.36, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 8}, "where": {"joins the": "medium blue Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.14, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.41, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.29, "new piece": "Technic Brick 1x4 with holes"}}}, {"name": "32524", "aimed": false, "p": 0.105, "T": [[-1.0, -0.0, 0.0, 32.0], [0.0, -1.0, 0.0, -32.0], [0.0, 0.0, 1.0, 12.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 7 is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 48 mm past the edge of the existing piece; 87% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.99, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.81, "red centre across the grey, studs from its centre": 2.99, "red centre above the grey centre, mm": 6.0, "farthest point of red from the grey centre, studs": 6.88}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 47.9, "share of red footprint not over the grey": 0.87}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 0.81, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 13.4, "centre of mass offset from the grey centre, studs": 2.55}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 22, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 4.9 x 1.5", "how full that box is (1 = solid)": 0.1, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.09}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.193, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.329}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "9.5 x 14.9", "new piece distance from the build centre, studs": 6.46, "build centre of mass outside the first piece footprint, mm": 1.2, "pieces in the build after": 8}, "where": {"joins the": "green Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.86, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.1, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 1.47, "new piece": "Technic Beam 7"}}}, {"name": "2905", "aimed": false, "p": 0.165, "T": [[0.0, -1.0, -0.0, 16.073], [1.0, 0.0, -0.0, 23.927], [0.0, -0.0, 1.0, 10.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 3x3 bent thin (L) is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 16 mm past the edge of the existing piece; 82% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.82, "red centre across the grey, studs from its centre": 1.01, "red centre above the grey centre, mm": 4.0, "farthest point of red from the grey centre, studs": 4.52}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.1, "past the grey side, mm": 16.1, "share of red footprint not over the grey": 0.82}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 2.58, "can swing on its pin": true}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 4.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.3}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 15, "connectors the join covered up": 5}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 2.9 x 1.0", "how full that box is (1 = solid)": 0.28, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.09}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.498, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.626}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "9.5 x 10.9", "new piece distance from the build centre, studs": 2.23, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 8}, "where": {"joins the": "red Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.79, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.42, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.15, "new piece": "Technic Beam 3x3 bent thin (L)"}}}]}
{"turn": 7, "might_be": "rainbow pickup sticks, grey one being lifted", "next": "A small yellow beam tucked under the grey beam's right end, tilted down toward the pile, like a stick about to slide off.", "want_piece": "beam", "want_on": "light grey", "taste": "a rainbow heap where one stick is just starting to lift", "pick": 1, "candidates": [{"name": "32017", "aimed": true, "p": 0.04, "T": [[0.0, -1.0, -0.0, 24.073], [1.0, 0.0, -0.0, 80.073], [0.0, -0.0, 1.0, 18.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 thin (1x5 liftarm) is pinned (a pin through both) to a existing Technic Beam 7. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 32 mm past the edge of the existing piece; 82% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.29, "red centre across the grey, studs from its centre": 0.99, "red centre above the grey centre, mm": 6.0, "farthest point of red from the grey centre, studs": 3.74}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 23.9, "share of red footprint not over the grey": 0.82}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 0.81, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 4.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.41}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 22, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 4.9 x 1.5", "how full that box is (1 = solid)": 0.1, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.35}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.329}, "the whole build": {"build height after, mm": 32.0, "build footprint after, studs": "10.5 x 15.9", "new piece distance from the build centre, studs": 8.31, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 9}, "where": {"joins the": "light grey Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.07, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.9, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.59, "new piece": "Technic Beam 5 thin (1x5 liftarm)"}}}, {"name": "32017", "aimed": true, "p": 0.41, "T": [[-0.0, 1.0, 0.0, 24.218], [1.0, 0.0, 0.0, 87.927], [0.0, 0.0, -1.0, 6.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 thin (1x5 liftarm) is pinned (a pin through both) to a existing Technic Beam 7. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 32 mm past the edge of the existing piece; 82% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.99, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.58, "red centre across the grey, studs from its centre": 1.01, "red centre above the grey centre, mm": -6.0, "farthest point of red from the grey centre, studs": 4.17}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 24.1, "share of red footprint not over the grey": 0.82}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 0.81, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.65}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 22, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 4.9 x 1.5", "how full that box is (1 = solid)": 0.1, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.21}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.329}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "10.5 x 15.9", "new piece distance from the build centre, studs": 9.08, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 9}, "where": {"joins the": "light grey Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.64, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.98, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.72, "new piece": "Technic Beam 5 thin (1x5 liftarm)"}}}, {"name": "32316", "aimed": true, "p": 0.025, "T": [[-1.0, -0.0, -0.0, 16.145], [0.0, -1.0, -0.0, 72.0], [0.0, -0.0, 1.0, 20.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 is pinned (a pin through both) to a existing Technic Beam 7. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 8.0, "farthest point of red from the grey centre, studs": 2.87}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 4.41, "can swing on its pin": true}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.0}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 14, "connectors the join covered up": 10}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 0.9 x 2.0", "how full that box is (1 = solid)": 0.51, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 1.0}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 1.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.697}, "the whole build": {"build height after, mm": 36.0, "build footprint after, studs": "9.5 x 15.9", "new piece distance from the build centre, studs": 7.18, "build centre of mass outside the first piece footprint, mm": 0.1, "pieces in the build after": 9}, "where": {"joins the": "light grey Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.14, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.68, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.54, "new piece": "Technic Beam 5"}}}, {"name": "32316", "aimed": true, "p": 0.03, "T": [[-0.0, 1.0, 0.0, 32.073], [1.0, 0.0, 0.0, 80.073], [0.0, 0.0, -1.0, 4.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 is pinned (a pin through both) to a existing Technic Beam 7. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is in the middle. It hangs 32 mm past the edge of the existing piece; 82% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.29, "red centre across the grey, studs from its centre": 1.99, "red centre above the grey centre, mm": -8.0, "farthest point of red from the grey centre, studs": 4.8}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 31.9, "share of red footprint not over the grey": 0.82}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 0.81, "can swing on its pin": true}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 3.0, "centre of mass offset from the grey centre, studs": 0.92}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 22, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 4.9 x 2.0", "how full that box is (1 = solid)": 0.09, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.35}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.697}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "11.5 x 15.9", "new piece distance from the build centre, studs": 8.47, "build centre of mass outside the first piece footprint, mm": 1.7, "pieces in the build after": 9}, "where": {"joins the": "light grey Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.57, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 1.03, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.51, "new piece": "Technic Beam 5"}}}, {"name": "32017", "aimed": true, "p": 0.18, "T": [[0.0, -1.0, -0.0, 24.073], [-1.0, -0.0, 0.0, 80.073], [-0.0, 0.0, -1.0, 6.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 thin (1x5 liftarm) is pinned (a pin through both) to a existing Technic Beam 7. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is in the middle. It hangs 32 mm past the edge of the existing piece; 82% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.29, "red centre across the grey, studs from its centre": 0.99, "red centre above the grey centre, mm": -6.0, "farthest point of red from the grey centre, studs": 3.74}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 23.9, "share of red footprint not over the grey": 0.82}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 0.81, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.41}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 22, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 4.9 x 1.5", "how full that box is (1 = solid)": 0.1, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.35}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.329}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "10.5 x 15.9", "new piece distance from the build centre, studs": 8.13, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 9}, "where": {"joins the": "light grey Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.64, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.9, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.59, "new piece": "Technic Beam 5 thin (1x5 liftarm)"}}}, {"name": "2905", "aimed": false, "p": 0.01, "T": [[-0.0, 1.0, 0.0, -23.782], [-1.0, -0.0, 0.0, -0.073], [0.0, 0.0, 1.0, 18.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 3x3 bent thin (L) is pinned (a pin through both) to a existing Technic Beam 7. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 32 mm past the edge of the existing piece; 82% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.98, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.28, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 6.0, "farthest point of red from the grey centre, studs": 4.16}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 24.0, "share of red footprint not over the grey": 0.82}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 2.61, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 4.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.76}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 20, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 4.9 x 1.5", "how full that box is (1 = solid)": 0.16, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.36}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.542}, "the whole build": {"build height after, mm": 32.0, "build footprint after, studs": "9.5 x 15.9", "new piece distance from the build centre, studs": 4.25, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 9}, "where": {"joins the": "medium blue Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.07, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.66, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.27, "new piece": "Technic Beam 3x3 bent thin (L)"}}}, {"name": "32524", "aimed": false, "p": 0.01, "T": [[0.0, -1.0, -0.0, -16.073], [-1.0, -0.0, -0.0, 7.927], [0.0, 0.0, -1.0, -16.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 7 is pinned (a pin through both) to a existing Technic Brick 1x6 with holes. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is in the middle. It hangs 7 mm past the edge of the existing piece; 13% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.01, "red centre above the grey centre, mm": -8.0, "farthest point of red from the grey centre, studs": 3.77}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 3.7, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.13}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 5.4, "can swing on its pin": true}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.03}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 12, "connectors the join covered up": 12}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 1.4 x 2.0", "how full that box is (1 = solid)": 0.45, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.99}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.961, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.798}, "the whole build": {"build height after, mm": 36.0, "build footprint after, studs": "9.9 x 15.9", "new piece distance from the build centre, studs": 3.87, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 9}, "where": {"joins the": "orange Technic Brick 1x6 with holes", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.14, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.51, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.18, "new piece": "Technic Beam 7"}}}, {"name": "3701", "aimed": false, "p": 0.295, "T": [[-0.0, 0.0, -1.0, 12.073], [1.0, 0.0, -0.0, -8.218], [0.0, -1.0, -0.0, -8.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x4 with holes is pinned (a pin through both) to a existing Technic Beam 5. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 12 mm past the edge of the existing piece; 61% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.82, "red centre across the grey, studs from its centre": 0.01, "red centre above the grey centre, mm": -8.0, "farthest point of red from the grey centre, studs": 4.34}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 12.5, "past the grey side, mm": 2.1, "share of red footprint not over the grey": 0.61}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 2.2, "can swing on its pin": true}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.07}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 11, "connectors the join covered up": 5}, "shape": {"pair bounding box, studs (long x short x tall)": "6.5 x 1.4 x 2.0", "how full that box is (1 = solid)": 0.33, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.59}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.763, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.829}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "9.5 x 15.9", "new piece distance from the build centre, studs": 3.83, "build centre of mass outside the first piece footprint, mm": 0.2, "pieces in the build after": 9}, "where": {"joins the": "red Technic Beam 5", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.14, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.15, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.76, "new piece": "Technic Brick 1x4 with holes"}}}]}
{"turn": 8, "might_be": "a jointed rainbow toy snake, mid-wiggle", "next": "A small piece on the far right tip of the yellow beam, angled up like a raised head about to strike.", "want_piece": "angle", "want_on": "yellow", "taste": "a chain of pinned rainbow segments that looks like it could wiggle any second", "pick": 3, "candidates": [{"name": "2905", "aimed": true, "p": 0.11, "T": [[0.0, -1.0, -0.0, 40.073], [1.0, 0.0, 0.0, 87.927], [-0.0, -0.0, 1.0, 10.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 3x3 bent thin (L) is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 32 mm past the edge of the existing piece; 82% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.98, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.4, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 4.0, "farthest point of red from the grey centre, studs": 3.35}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 16.0, "share of red footprint not over the grey": 0.82}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 2.61, "can swing on its pin": true}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 4.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.98}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 14, "connectors the join covered up": 6}, "shape": {"pair bounding box, studs (long x short x tall)": "4.9 x 4.9 x 1.0", "how full that box is (1 = solid)": 0.23, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.8}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.745, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.572}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "10.5 x 16.9", "new piece distance from the build centre, studs": 8.63, "build centre of mass outside the first piece footprint, mm": 3.2, "pieces in the build after": 10}, "where": {"joins the": "yellow Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.79, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.89, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.59, "new piece": "Technic Beam 3x3 bent thin (L)"}}}, {"name": "2905", "aimed": true, "p": 0.06, "T": [[1.0, 0.0, 0.0, 40.145], [0.0, -1.0, -0.0, 87.855], [0.0, 0.0, -1.0, 2.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 3x3 bent thin (L) is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 16 mm past the edge of the existing piece; 82% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.99, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.81, "red centre across the grey, studs from its centre": 1.01, "red centre above the grey centre, mm": -4.0, "farthest point of red from the grey centre, studs": 4.5}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 15.9, "past the grey side, mm": 16.1, "share of red footprint not over the grey": 0.82}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 2.59, "can swing on its pin": true}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.29}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 15, "connectors the join covered up": 5}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 2.9 x 1.0", "how full that box is (1 = solid)": 0.28, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.09}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.498, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.665}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "12.5 x 15.9", "new piece distance from the build centre, studs": 8.42, "build centre of mass outside the first piece footprint, mm": 3.6, "pieces in the build after": 10}, "where": {"joins the": "yellow Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.5, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.91, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.5, "new piece": "Technic Beam 3x3 bent thin (L)"}}}, {"name": "2905", "aimed": true, "p": 0.025, "T": [[-0.0, 1.0, 0.0, -7.782], [1.0, 0.0, -0.0, 87.927], [-0.0, 0.0, -1.0, 2.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 3x3 bent thin (L) is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 32 mm past the edge of the existing piece; 94% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 3.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.22, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -4.0, "farthest point of red from the grey centre, studs": 4.98}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.0, "past the grey side, mm": 16.0, "share of red footprint not over the grey": 0.94}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 0.81, "can swing on its pin": true}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 2.26}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 18, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 4.9 x 1.0", "how full that box is (1 = solid)": 0.17, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.647}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "10.5 x 16.9", "new piece distance from the build centre, studs": 7.92, "build centre of mass outside the first piece footprint, mm": 0.3, "pieces in the build after": 10}, "where": {"joins the": "yellow Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.5, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.31, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -1.01, "new piece": "Technic Beam 3x3 bent thin (L)"}}}, {"name": "2905", "aimed": true, "p": 0.53, "T": [[-1.0, -0.0, -0.0, 40.291], [0.0, -1.0, -0.0, 87.855], [-0.0, -0.0, 1.0, 10.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 3x3 bent thin (L) is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 16 mm past the edge of the existing piece; 82% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.82, "red centre across the grey, studs from its centre": 1.01, "red centre above the grey centre, mm": 4.0, "farthest point of red from the grey centre, studs": 4.52}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.1, "past the grey side, mm": 16.1, "share of red footprint not over the grey": 0.82}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 2.58, "can swing on its pin": true}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 4.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.3}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 15, "connectors the join covered up": 5}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 2.9 x 1.0", "how full that box is (1 = solid)": 0.28, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.09}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.498, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.665}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "12.5 x 15.9", "new piece distance from the build centre, studs": 8.45, "build centre of mass outside the first piece footprint, mm": 3.6, "pieces in the build after": 10}, "where": {"joins the": "yellow Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.79, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.91, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.5, "new piece": "Technic Beam 3x3 bent thin (L)"}}}, {"name": "2905", "aimed": true, "p": 0.25, "T": [[1.0, 0.0, 0.0, 40.291], [0.0, 1.0, 0.0, 80.0], [0.0, 0.0, 1.0, 10.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 3x3 bent thin (L) is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 16 mm past the edge of the existing piece; 82% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.82, "red centre across the grey, studs from its centre": 0.01, "red centre above the grey centre, mm": 4.0, "farthest point of red from the grey centre, studs": 4.64}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.1, "past the grey side, mm": 8.1, "share of red footprint not over the grey": 0.82}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 2.6, "can swing on its pin": true}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 4.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.32}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 16, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 2.9 x 1.0", "how full that box is (1 = solid)": 0.28, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.59}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.665}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "12.5 x 15.9", "new piece distance from the build centre, studs": 8.36, "build centre of mass outside the first piece footprint, mm": 3.6, "pieces in the build after": 10}, "where": {"joins the": "yellow Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.79, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.9, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.48, "new piece": "Technic Beam 3x3 bent thin (L)"}}}, {"name": "3702", "aimed": false, "p": 0.01, "T": [[-1.0, -0.0, 0.0, 8.0], [-0.0, 0.0, -1.0, 3.855], [0.0, -1.0, -0.0, -16.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x8 with holes is pinned (a pin through both) to a existing Technic Brick 1x6 with holes. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 32 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 3.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -8.0, "farthest point of red from the grey centre, studs": 7.19}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 32.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 5.6, "can swing on its pin": true}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.71}, "openness": {"free studs on the pair": 14, "free hole ends on the pair": 16, "connectors the join covered up": 8}, "shape": {"pair bounding box, studs (long x short x tall)": "10.0 x 1.4 x 2.0", "how full that box is (1 = solid)": 0.42, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.579, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.76}, "the whole build": {"build height after, mm": 36.0, "build footprint after, studs": "10.5 x 15.9", "new piece distance from the build centre, studs": 3.43, "build centre of mass outside the first piece footprint, mm": 0.9, "pieces in the build after": 10}, "where": {"joins the": "orange Technic Brick 1x6 with holes", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.14, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.23, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.43, "new piece": "Technic Brick 1x8 with holes"}}}, {"name": "32017", "aimed": false, "p": 0.005, "T": [[1.0, 0.0, 0.0, -8.0], [0.0, -1.0, -0.0, 8.0], [0.0, 0.0, -1.0, 6.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 thin (1x5 liftarm) is pinned (a pin through both) to a existing Technic Beam 7. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is in the middle. It hangs 32 mm past the edge of the existing piece; 82% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 2.01, "red centre above the grey centre, mm": -6.0, "farthest point of red from the grey centre, studs": 4.57}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 32.1, "share of red footprint not over the grey": 0.82}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 0.8, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 1.1, "centre of mass offset from the grey centre, studs": 0.58}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 22, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 4.9 x 1.5", "how full that box is (1 = solid)": 0.1, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.329}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "10.5 x 15.9", "new piece distance from the build centre, studs": 2.92, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 10}, "where": {"joins the": "medium blue Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.64, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.46, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.26, "new piece": "Technic Beam 5 thin (1x5 liftarm)"}}}, {"name": "32316", "aimed": false, "p": 0.005, "T": [[1.0, 0.0, 0.0, 32.145], [0.0, -1.0, -0.0, 95.855], [0.0, 0.0, -1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 32 mm past the edge of the existing piece; 82% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.99, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.4, "red centre across the grey, studs from its centre": 0.99, "red centre above the grey centre, mm": -6.0, "farthest point of red from the grey centre, studs": 3.81}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 23.9, "share of red footprint not over the grey": 0.82}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 0.81, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 1.4, "centre of mass offset from the grey centre, studs": 0.89}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 18, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.9 x 4.9 x 1.5", "how full that box is (1 = solid)": 0.11, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.3}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.472}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "10.5 x 17.9", "new piece distance from the build centre, studs": 9.33, "build centre of mass outside the first piece footprint, mm": 3.0, "pieces in the build after": 10}, "where": {"joins the": "yellow Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.43, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.9, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.77, "new piece": "Technic Beam 5"}}}]}
{"turn": 9, "might_be": "a jointed rainbow toy snake, about to strike", "next": "A small thin red beam poking out from the lime jaw's tip, far right, like a flicking tongue.", "want_piece": "small", "want_on": "lime", "taste": "a jointed rainbow snake, every segment on a pin, the second before it strikes", "pick": 7, "candidates": [{"name": "3700", "aimed": true, "p": 0.085, "T": [[-1.0, -0.0, 0.0, 0.0], [0.0, -0.0, 1.0, 28.0], [0.0, 1.0, 0.0, 12.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x2 with hole is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 9 mm past the edge of the existing piece; 55% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.41, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.0, "farthest point of red from the grey centre, studs": 2.34}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 4.4, "share of red footprint not over the grey": 0.55}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 1.26, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.43}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 10, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.9 x 2.0 x 1.5", "how full that box is (1 = solid)": 0.2, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.8}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 1.05, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.71}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "12.5 x 15.9", "new piece distance from the build centre, studs": 1.77, "build centre of mass outside the first piece footprint, mm": 3.2, "pieces in the build after": 11}, "where": {"joins the": "lime Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.86, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.27, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.06, "new piece": "Technic Brick 1x2 with hole"}}}, {"name": "3700", "aimed": true, "p": 0.045, "T": [[0.0, -0.0, -1.0, 36.218], [-1.0, -0.0, -0.0, 87.927], [-0.0, 1.0, -0.0, 16.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x2 with hole is pinned (a pin through both) to a existing Technic Beam 3x3 bent thin (L). It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 4 mm past the edge of the existing piece; 28% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 1.01, "red centre above the grey centre, mm": 6.0, "farthest point of red from the grey centre, studs": 2.47}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 4.5, "share of red footprint not over the grey": 0.28}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 2.02, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.73}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 9, "connectors the join covered up": 3}, "shape": {"pair bounding box, studs (long x short x tall)": "4.9 x 3.5 x 1.5", "how full that box is (1 = solid)": 0.23, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.74}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 1.05, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.488}, "the whole build": {"build height after, mm": 32.0, "build footprint after, studs": "12.5 x 15.9", "new piece distance from the build centre, studs": 8.02, "build centre of mass outside the first piece footprint, mm": 6.2, "pieces in the build after": 11}, "where": {"joins the": "lime Technic Beam 3x3 bent thin (L)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.0, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.73, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.57, "new piece": "Technic Brick 1x2 with hole"}}}, {"name": "3700", "aimed": true, "p": 0.045, "T": [[-0.0, -0.0, 1.0, 44.364], [1.0, -0.0, 0.0, 71.782], [0.0, 1.0, 0.0, 16.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x2 with hole is pinned (a pin through both) to a existing Technic Beam 3x3 bent thin (L). It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 4 mm past the edge of the existing piece; 28% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 1.01, "red centre above the grey centre, mm": 6.0, "farthest point of red from the grey centre, studs": 2.46}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 4.5, "share of red footprint not over the grey": 0.28}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 2.02, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.06}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 9, "connectors the join covered up": 3}, "shape": {"pair bounding box, studs (long x short x tall)": "4.9 x 3.5 x 1.5", "how full that box is (1 = solid)": 0.23, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.74}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 1.05, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.613}, "the whole build": {"build height after, mm": 32.0, "build footprint after, studs": "12.5 x 15.9", "new piece distance from the build centre, studs": 6.49, "build centre of mass outside the first piece footprint, mm": 5.9, "pieces in the build after": 11}, "where": {"joins the": "lime Technic Beam 3x3 bent thin (L)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.0, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.63, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.28, "new piece": "Technic Brick 1x2 with hole"}}}, {"name": "3700", "aimed": true, "p": 0.06, "T": [[1.0, 0.0, 0.0, -0.0], [0.0, 0.0, 1.0, 52.145], [0.0, -1.0, 0.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x2 with hole is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 9 mm past the edge of the existing piece; 64% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.02, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.82, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.0, "farthest point of red from the grey centre, studs": 2.98}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 2.1, "past the grey side, mm": 4.4, "share of red footprint not over the grey": 0.64}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 1.02, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.09}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 10, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "5.2 x 2.0 x 1.5", "how full that box is (1 = solid)": 0.19, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.59}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 1.05, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.71}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "12.5 x 15.9", "new piece distance from the build centre, studs": 2.65, "build centre of mass outside the first piece footprint, mm": 3.4, "pieces in the build after": 11}, "where": {"joins the": "lime Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.43, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.08, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.33, "new piece": "Technic Brick 1x2 with hole"}}}, {"name": "3700", "aimed": true, "p": 0.24, "T": [[0.0, -0.0, 1.0, 4.073], [1.0, 0.0, -0.0, 23.927], [0.0, 1.0, 0.0, 12.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x2 with hole is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 4 mm past the edge of the existing piece; 36% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.41, "red centre across the grey, studs from its centre": 0.01, "red centre above the grey centre, mm": 6.0, "farthest point of red from the grey centre, studs": 2.47}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 2.1, "share of red footprint not over the grey": 0.36}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 1.8, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.51}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 8, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "4.9 x 1.4 x 1.5", "how full that box is (1 = solid)": 0.29, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.79}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 1.05, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.628}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "12.5 x 15.9", "new piece distance from the build centre, studs": 1.74, "build centre of mass outside the first piece footprint, mm": 3.3, "pieces in the build after": 11}, "where": {"joins the": "lime Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.86, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.27, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.09, "new piece": "Technic Brick 1x2 with hole"}}}, {"name": "3894", "aimed": false, "p": 0.05, "T": [[-1.0, 0.0, -0.0, 16.145], [0.0, 0.0, -1.0, 83.855], [-0.0, -1.0, -0.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x6 with holes is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 12 mm past the edge of the existing piece; 52% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.41, "red centre across the grey, studs from its centre": 0.01, "red centre above the grey centre, mm": -6.0, "farthest point of red from the grey centre, studs": 4.26}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 12.5, "past the grey side, mm": 2.1, "share of red footprint not over the grey": 0.52}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 4.0, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.75}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 11, "connectors the join covered up": 9}, "shape": {"pair bounding box, studs (long x short x tall)": "6.5 x 1.4 x 1.5", "how full that box is (1 = solid)": 0.47, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.79}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.998, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.263}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "12.5 x 15.9", "new piece distance from the build centre, studs": 7.04, "build centre of mass outside the first piece footprint, mm": 9.7, "pieces in the build after": 11}, "where": {"joins the": "yellow Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.43, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.43, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.79, "new piece": "Technic Brick 1x6 with holes"}}}, {"name": "3701", "aimed": false, "p": 0.02, "T": [[1.0, -0.0, 0.0, 40.291], [0.0, -0.0, -1.0, 75.855], [0.0, 1.0, -0.0, 16.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x4 with holes is pinned (a pin through both) to a existing Technic Beam 3x3 bent thin (L). It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.0, "farthest point of red from the grey centre, studs": 2.46}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 5.6, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.22}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 12, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "4.9 x 2.9 x 1.5", "how full that box is (1 = solid)": 0.36, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 1.0}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.383, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.576}, "the whole build": {"build height after, mm": 32.0, "build footprint after, studs": "12.5 x 15.9", "new piece distance from the build centre, studs": 7.16, "build centre of mass outside the first piece footprint, mm": 8.6, "pieces in the build after": 11}, "where": {"joins the": "lime Technic Beam 3x3 bent thin (L)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.0, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.67, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.41, "new piece": "Technic Brick 1x4 with holes"}}}, {"name": "32316", "aimed": false, "p": 0.455, "T": [[1.0, 0.0, 0.0, -0.0], [0.0, -1.0, -0.0, 56.0], [0.0, 0.0, -1.0, -0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 24 mm past the edge of the existing piece; 61% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 3.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.22, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.0, "farthest point of red from the grey centre, studs": 5.59}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 24.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.61}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 1.71, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.9}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 16, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "7.9 x 0.9 x 1.5", "how full that box is (1 = solid)": 0.37, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.5, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.472}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "12.5 x 15.9", "new piece distance from the build centre, studs": 3.39, "build centre of mass outside the first piece footprint, mm": 3.9, "pieces in the build after": 11}, "where": {"joins the": "lime Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.43, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.03, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.44, "new piece": "Technic Beam 5"}}}]}
{"turn": 10, "might_be": "a jointed rainbow toy snake, about to strike", "next": "A small thin red beam poking out flat from the tip of the lime head, far right, like a flicking forked tongue.", "want_piece": "beam", "want_on": "lime", "taste": "a wiggly chain where every segment hangs on a pin, ready to swing", "pick": 3, "candidates": [{"name": "32316", "aimed": true, "p": 0.03, "T": [[-1.0, -0.0, -0.0, 40.291], [0.0, -1.0, -0.0, 79.855], [-0.0, -0.0, 1.0, 16.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 is pinned (a pin through both) to a existing Technic Beam 3x3 bent thin (L). It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 16 mm past the edge of the existing piece; 41% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.0, "farthest point of red from the grey centre, studs": 2.75}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.41}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 2.61, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.28}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 14, "connectors the join covered up": 6}, "shape": {"pair bounding box, studs (long x short x tall)": "4.9 x 4.9 x 1.5", "how full that box is (1 = solid)": 0.19, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 1.0}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.748, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.71}, "the whole build": {"build height after, mm": 32.0, "build footprint after, studs": "12.5 x 15.9", "new piece distance from the build centre, studs": 7.07, "build centre of mass outside the first piece footprint, mm": 8.7, "pieces in the build after": 12}, "where": {"joins the": "lime Technic Beam 3x3 bent thin (L)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.0, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.68, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.42, "new piece": "Technic Beam 5"}}}, {"name": "32524", "aimed": true, "p": 0.11, "T": [[-0.0, 1.0, 0.0, 48.364], [1.0, 0.0, -0.0, 71.782], [-0.0, 0.0, -1.0, 4.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 7 is pinned (a pin through both) to a existing Technic Beam 3x3 bent thin (L). It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 16 mm past the edge of the existing piece; 30% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.41, "red centre across the grey, studs from its centre": 1.01, "red centre above the grey centre, mm": -6.0, "farthest point of red from the grey centre, studs": 4.75}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.1, "past the grey side, mm": 0.1, "share of red footprint not over the grey": 0.3}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 4.36, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.69}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 18, "connectors the join covered up": 6}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 2.9 x 1.5", "how full that box is (1 = solid)": 0.26, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.54}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.193, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.495}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "14.5 x 15.9", "new piece distance from the build centre, studs": 6.79, "build centre of mass outside the first piece footprint, mm": 10.5, "pieces in the build after": 12}, "where": {"joins the": "lime Technic Beam 3x3 bent thin (L)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.57, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.72, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.21, "new piece": "Technic Beam 7"}}}, {"name": "32316", "aimed": true, "p": 0.05, "T": [[-1.0, -0.0, 0.0, 0.0], [0.0, -1.0, 0.0, 72.145], [-0.0, 0.0, 1.0, 8.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 is pinned (a pin through both) to a existing Technic Beam 5. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 16 mm past the edge of the existing piece; 41% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.02, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.82, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 8.0, "farthest point of red from the grey centre, studs": 4.71}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.1, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.41}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 2.59, "can swing on its pin": true}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.01}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 14, "connectors the join covered up": 6}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 0.9 x 2.0", "how full that box is (1 = solid)": 0.42, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.59}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.738, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "12.5 x 15.9", "new piece distance from the build centre, studs": 4.96, "build centre of mass outside the first piece footprint, mm": 6.4, "pieces in the build after": 12}, "where": {"joins the": "lime Technic Beam 5", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.71, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.1, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.71, "new piece": "Technic Beam 5"}}}, {"name": "32316", "aimed": true, "p": 0.59, "T": [[0.0, -1.0, -0.0, 64.364], [1.0, 0.0, 0.0, 87.927], [-0.0, -0.0, 1.0, 16.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 is pinned (a pin through both) to a existing Technic Beam 3x3 bent thin (L). It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 24 mm past the edge of the existing piece; 62% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 3.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.23, "red centre across the grey, studs from its centre": 1.01, "red centre above the grey centre, mm": 6.0, "farthest point of red from the grey centre, studs": 5.69}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 24.1, "past the grey side, mm": 0.1, "share of red footprint not over the grey": 0.62}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 1.68, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.7}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 17, "connectors the join covered up": 3}, "shape": {"pair bounding box, studs (long x short x tall)": "7.9 x 2.9 x 1.5", "how full that box is (1 = solid)": 0.2, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.24}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.71}, "the whole build": {"build height after, mm": 32.0, "build footprint after, studs": "15.5 x 15.9", "new piece distance from the build centre, studs": 9.74, "build centre of mass outside the first piece footprint, mm": 10.5, "pieces in the build after": 12}, "where": {"joins the": "lime Technic Beam 3x3 bent thin (L)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.0, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 1.05, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.31, "new piece": "Technic Beam 5"}}}, {"name": "32524", "aimed": true, "p": 0.005, "T": [[0.0, -1.0, -0.0, 16.073], [-1.0, -0.0, -0.0, 31.927], [0.0, 0.0, -1.0, -0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 7 is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is in the middle. It hangs 48 mm past the edge of the existing piece; 87% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 2.01, "red centre above the grey centre, mm": -6.0, "farthest point of red from the grey centre, studs": 5.6}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 40.1, "share of red footprint not over the grey": 0.87}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 0.81, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 7.8, "centre of mass offset from the grey centre, studs": 1.43}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 22, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 4.9 x 1.5", "how full that box is (1 = solid)": 0.1, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.193, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.329}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "12.5 x 15.9", "new piece distance from the build centre, studs": 1.02, "build centre of mass outside the first piece footprint, mm": 4.8, "pieces in the build after": 12}, "where": {"joins the": "lime Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.43, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.01, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.11, "new piece": "Technic Beam 7"}}}, {"name": "32017", "aimed": false, "p": 0.125, "T": [[-1.0, -0.0, -0.0, 16.145], [-0.0, 1.0, 0.0, 56.0], [0.0, 0.0, -1.0, 2.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 thin (1x5 liftarm) is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 16 mm past the edge of the existing piece; 41% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.82, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -4.0, "farthest point of red from the grey centre, studs": 4.51}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.41}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 2.61, "can swing on its pin": true}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.0}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 14, "connectors the join covered up": 6}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 0.9 x 1.0", "how full that box is (1 = solid)": 0.43, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.59}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.748, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "12.5 x 15.9", "new piece distance from the build centre, studs": 2.92, "build centre of mass outside the first piece footprint, mm": 5.1, "pieces in the build after": 12}, "where": {"joins the": "red Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.5, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.18, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.28, "new piece": "Technic Beam 5 thin (1x5 liftarm)"}}}, {"name": "2905", "aimed": false, "p": 0.06, "T": [[1.0, 0.0, 0.0, 40.291], [0.0, 1.0, 0.0, 63.855], [0.0, 0.0, 1.0, 14.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 3x3 bent thin (L) is pinned (a pin through both) to a existing Technic Beam 3x3 bent thin (L). It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 8 mm past the edge of the existing piece; 34% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 4.0, "farthest point of red from the grey centre, studs": 3.36}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.34}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 9.31, "can swing on its pin": true}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 4.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.5}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 16, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "4.9 x 3.9 x 1.0", "how full that box is (1 = solid)": 0.45, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.74}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.5, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "12.5 x 15.9", "new piece distance from the build centre, studs": 5.81, "build centre of mass outside the first piece footprint, mm": 8.0, "pieces in the build after": 12}, "where": {"joins the": "lime Technic Beam 3x3 bent thin (L)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.93, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.58, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.22, "new piece": "Technic Beam 3x3 bent thin (L)"}}}, {"name": "32017", "aimed": false, "p": 0.03, "T": [[1.0, 0.0, 0.0, 16.145], [0.0, -1.0, -0.0, 64.0], [0.0, 0.0, -1.0, 6.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 thin (1x5 liftarm) is pinned (a pin through both) to a existing Technic Beam 7. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.29, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.0, "farthest point of red from the grey centre, studs": 3.59}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 4.41, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.29}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 14, "connectors the join covered up": 10}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 0.9 x 1.5", "how full that box is (1 = solid)": 0.54, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.86}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 1.245, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.329}, "the whole build": {"build height after, mm": 28.0, "build footprint after, studs": "12.5 x 15.9", "new piece distance from the build centre, studs": 3.87, "build centre of mass outside the first piece footprint, mm": 5.4, "pieces in the build after": 12}, "where": {"joins the": "light grey Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.64, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.24, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.41, "new piece": "Technic Beam 5 thin (1x5 liftarm)"}}}]}
{"turn": 11, "might_be": "a jointed rainbow toy snake, mid-strike", "next": "A small thin beam pinned on the far left end of the lower blue beam, angled up, like the tail tip flicking.", "want_piece": "beam", "want_on": "medium blue", "taste": "a surprise purple tongue lunging out of a rainbow snake mid-strike", "pick": 0, "candidates": [{"name": "32017", "aimed": true, "p": 0.48, "T": [[-1.0, -0.0, 0.0, -0.0], [0.0, -1.0, 0.0, -39.855], [0.0, 0.0, 1.0, 6.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 thin (1x5 liftarm) is pinned (a pin through both) to a existing Technic Beam 7. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 32 mm past the edge of the existing piece; 81% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 4.98, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.44, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.0, "farthest point of red from the grey centre, studs": 7.5}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 31.9, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.81}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 0.83, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 4.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.44}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 22, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "10.9 x 0.9 x 1.5", "how full that box is (1 = solid)": 0.34, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.329}, "the whole build": {"build height after, mm": 32.0, "build footprint after, studs": "15.5 x 19.9", "new piece distance from the build centre, studs": 9.92, "build centre of mass outside the first piece footprint, mm": 8.1, "pieces in the build after": 13}, "where": {"joins the": "medium blue Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.56, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.82, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 1.12, "new piece": "Technic Beam 5 thin (1x5 liftarm)"}}}, {"name": "32316", "aimed": true, "p": 0.195, "T": [[0.0, -1.0, 0.0, -31.927], [1.0, 0.0, 0.0, -8.073], [0.0, 0.0, 1.0, 20.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 is pinned (a pin through both) to a existing Technic Beam 7. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 16 mm past the edge of the existing piece; 41% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 3.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.87, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 8.0, "farthest point of red from the grey centre, studs": 5.65}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.41}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 2.61, "can swing on its pin": true}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.24}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 18, "connectors the join covered up": 6}, "shape": {"pair bounding box, studs (long x short x tall)": "8.9 x 0.9 x 2.0", "how full that box is (1 = solid)": 0.4, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.57}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.75, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.697}, "the whole build": {"build height after, mm": 36.0, "build footprint after, studs": "16.9 x 15.9", "new piece distance from the build centre, studs": 8.37, "build centre of mass outside the first piece footprint, mm": 5.9, "pieces in the build after": 13}, "where": {"joins the": "medium blue Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.0, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.95, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.28, "new piece": "Technic Beam 5"}}}, {"name": "32017", "aimed": true, "p": 0.13, "T": [[1.0, 0.0, 0.0, 16.145], [0.0, 1.0, 0.0, -8.0], [0.0, 0.0, 1.0, 18.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 thin (1x5 liftarm) is pinned (a pin through both) to a existing Technic Beam 7. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 32 mm past the edge of the existing piece; 82% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 3.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.87, "red centre across the grey, studs from its centre": 0.01, "red centre above the grey centre, mm": 6.0, "farthest point of red from the grey centre, studs": 4.18}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.1, "past the grey side, mm": 16.1, "share of red footprint not over the grey": 0.82}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 0.8, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 4.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.87}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 22, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 4.9 x 1.5", "how full that box is (1 = solid)": 0.1, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.56}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.329}, "the whole build": {"build height after, mm": 32.0, "build footprint after, studs": "15.5 x 15.9", "new piece distance from the build centre, studs": 6.0, "build centre of mass outside the first piece footprint, mm": 9.5, "pieces in the build after": 13}, "where": {"joins the": "medium blue Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.94, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.42, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.77, "new piece": "Technic Beam 5 thin (1x5 liftarm)"}}}, {"name": "32316", "aimed": true, "p": 0.135, "T": [[-0.0, 1.0, 0.0, -31.782], [-1.0, -0.0, 0.0, -8.073], [0.0, 0.0, 1.0, 20.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 is pinned (a pin through both) to a existing Technic Beam 7. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 16 mm past the edge of the existing piece; 40% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.98, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.86, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 8.0, "farthest point of red from the grey centre, studs": 5.64}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 15.9, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.4}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 2.63, "can swing on its pin": true}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.24}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 18, "connectors the join covered up": 6}, "shape": {"pair bounding box, studs (long x short x tall)": "8.9 x 0.9 x 2.0", "how full that box is (1 = solid)": 0.4, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.57}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.741, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.697}, "the whole build": {"build height after, mm": 36.0, "build footprint after, studs": "16.9 x 15.9", "new piece distance from the build centre, studs": 8.35, "build centre of mass outside the first piece footprint, mm": 6.0, "pieces in the build after": 13}, "where": {"joins the": "medium blue Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.0, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.95, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.28, "new piece": "Technic Beam 5"}}}, {"name": "32316", "aimed": true, "p": 0.02, "T": [[0.0, -1.0, 0.0, -8.073], [1.0, 0.0, 0.0, -15.927], [0.0, 0.0, 1.0, 8.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 is pinned (a pin through both) to a existing Technic Beam 7. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 32 mm past the edge of the existing piece; 82% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.99, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.58, "red centre across the grey, studs from its centre": 1.01, "red centre above the grey centre, mm": 8.0, "farthest point of red from the grey centre, studs": 4.32}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 24.1, "share of red footprint not over the grey": 0.82}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 0.81, "can swing on its pin": true}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.93}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 22, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 4.9 x 2.0", "how full that box is (1 = solid)": 0.09, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.21}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.697}, "the whole build": {"build height after, mm": 32.0, "build footprint after, studs": "15.5 x 15.9", "new piece distance from the build centre, studs": 7.33, "build centre of mass outside the first piece footprint, mm": 7.1, "pieces in the build after": 13}, "where": {"joins the": "medium blue Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.62, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.74, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.65, "new piece": "Technic Beam 5"}}}, {"name": "3894", "aimed": false, "p": 0.01, "T": [[-1.0, 0.0, -0.0, 48.291], [0.0, 0.0, -1.0, 83.855], [-0.0, -1.0, -0.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x6 with holes is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 28 mm past the edge of the existing piece; 74% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 3.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.23, "red centre across the grey, studs from its centre": 0.01, "red centre above the grey centre, mm": -6.0, "farthest point of red from the grey centre, studs": 6.18}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 28.5, "past the grey side, mm": 2.1, "share of red footprint not over the grey": 0.74}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 2.2, "can swing on its pin": true}, "balance": {"pair height, mm": 12.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 2.24}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 15, "connectors the join covered up": 5}, "shape": {"pair bounding box, studs (long x short x tall)": "8.5 x 1.4 x 1.5", "how full that box is (1 = solid)": 0.36, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.498, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.263}, "the whole build": {"build height after, mm": 32.0, "build footprint after, studs": "15.5 x 15.9", "new piece distance from the build centre, studs": 7.51, "build centre of mass outside the first piece footprint, mm": 18.2, "pieces in the build after": 13}, "where": {"joins the": "yellow Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.37, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.59, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.46, "new piece": "Technic Brick 1x6 with holes"}}}, {"name": "3700", "aimed": false, "p": 0.02, "T": [[-0.0, 0.0, 1.0, 84.364], [-1.0, -0.0, -0.0, 87.927], [0.0, -1.0, 0.0, 8.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x2 with hole is pinned (a pin through both) to a existing Technic Beam 5. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 9 mm past the edge of the existing piece; 63% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.82, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -8.0, "farthest point of red from the grey centre, studs": 3.08}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 2.0, "past the grey side, mm": 4.4, "share of red footprint not over the grey": 0.63}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 1.04, "can swing on its pin": true}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.79}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 10, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "5.1 x 2.0 x 2.0", "how full that box is (1 = solid)": 0.21, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.59}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 1.05, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.641}, "the whole build": {"build height after, mm": 32.0, "build footprint after, studs": "15.7 x 15.9", "new piece distance from the build centre, studs": 10.46, "build centre of mass outside the first piece footprint, mm": 14.6, "pieces in the build after": 13}, "where": {"joins the": "purple Technic Beam 5", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.63, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.97, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.13, "new piece": "Technic Brick 1x2 with hole"}}}, {"name": "3701", "aimed": false, "p": 0.01, "T": [[-1.0, -0.0, 0.0, -32.0], [0.0, 0.0, 1.0, 12.0], [-0.0, 1.0, -0.0, -0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x4 with holes is pinned (a pin through both) to a existing Technic Brick 1x6 with holes. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 26% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.67, "red centre across the grey, studs from its centre": 0.02, "red centre above the grey centre, mm": 8.0, "farthest point of red from the grey centre, studs": 4.33}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.1, "share of red footprint not over the grey": 0.26}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 4.15, "can swing on its pin": true}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.81}, "openness": {"free studs on the pair": 10, "free hole ends on the pair": 10, "connectors the join covered up": 6}, "shape": {"pair bounding box, studs (long x short x tall)": "7.0 x 1.4 x 2.0", "how full that box is (1 = solid)": 0.42, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.66}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.767, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": -1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.685}, "the whole build": {"build height after, mm": 32.0, "build footprint after, studs": "16.5 x 15.9", "new piece distance from the build centre, studs": 6.89, "build centre of mass outside the first piece footprint, mm": 6.4, "pieces in the build after": 13}, "where": {"joins the": "orange Technic Brick 1x6 with holes", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.37, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.84, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.01, "new piece": "Technic Brick 1x4 with holes"}}}]}
{"turn": 0, "might_be": "a quiet blue bridge, maybe a place", "next": "Another arch joined to the right end of the blue arch, stepping down a little, so the bridge starts to cross something.", "want_piece": "arch", "want_on": "medium blue", "taste": "a single quiet span over nothing, and maybe building only with arches", "pick": 2, "candidates": [{"name": "6091", "aimed": true, "p": 0.23, "T": [[1.0, 0.0, 0.0, -12.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, -6.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  1 x  1.333 with Curved Top is stacked (studs into its underside) to a existing Arch  1 x  4. It sits beside the existing piece, at the same height. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -8.8, "farthest point of red from the grey centre, studs": 3.14}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 0.4, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.53}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.25, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.38}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.496}, "the whole build": {"build height after, mm": 20.8, "build footprint after, studs": "4.0 x 2.0", "new piece distance from the build centre, studs": 1.92, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.12, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.76, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.31, "new piece": "Brick  2 x  1 x  1.333 with Curved Top"}}}, {"name": "6091", "aimed": true, "p": 0.215, "T": [[-1.0, -0.0, 0.0, 12.0], [0.0, -1.0, 0.0, -8.0], [0.0, 0.0, 1.0, 12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  1 x  1.333 with Curved Top is stacked (studs into its underside) to a existing Arch  1 x  4. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 10.4, "farthest point of red from the grey centre, studs": 3.02}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 22.4, "height the red adds above the grey top, mm": 11.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.55}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 2.8", "how full that box is (1 = solid)": 0.24, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.38}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.496}, "the whole build": {"build height after, mm": 22.4, "build footprint after, studs": "4.0 x 2.0", "new piece distance from the build centre, studs": 2.06, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.6, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.49, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.88, "new piece": "Brick  2 x  1 x  1.333 with Curved Top"}}}, {"name": "3659", "aimed": true, "p": 0.415, "T": [[0.0, -1.0, 0.0, -12.0], [1.0, 0.0, 0.0, 4.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch  1 x  4 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 3.72}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 16.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.79}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 4.0 x 2.6", "how full that box is (1 = solid)": 0.16, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.38}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 20.8, "build footprint after, studs": "4.0 x 4.0", "new piece distance from the build centre, studs": 1.98, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.17, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.51, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.82, "new piece": "Arch  1 x  4"}}}, {"name": "3034", "aimed": false, "p": 0.005, "T": [[0.0, -1.0, 0.0, 0.0], [1.0, 0.0, 0.0, 4.0], [0.0, 0.0, 1.0, 3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x8 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 56 mm past the edge of the existing piece; 88% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 4.7}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 32.0, "share of red footprint not over the grey": 0.88}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.34}, "openness": {"free studs on the pair": 18, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 4.0 x 1.8", "how full that box is (1 = solid)": 0.16, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.513}, "the whole build": {"build height after, mm": 14.4, "build footprint after, studs": "4.0 x 8.0", "new piece distance from the build centre, studs": 0.74, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.08, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.13, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.29, "new piece": "Plate 2x8"}}}, {"name": "4589", "aimed": false, "p": 0.01, "T": [[-1.0, -0.0, 0.0, -12.0], [0.0, -1.0, 0.0, 0.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Cone  1 x  1 is stacked (studs into its underside) to a existing Arch  1 x  4. The new piece stands upright. It sits underneath the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 2.69}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.28}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.4, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.62}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.156}, "the whole build": {"build height after, mm": 20.8, "build footprint after, studs": "4.0 x 1.0", "new piece distance from the build centre, studs": 2.18, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.44, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.65, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.54, "new piece": "Cone  1 x  1"}}}, {"name": "4589", "aimed": false, "p": 0.005, "T": [[-1.0, -0.0, 0.0, 4.0], [0.0, -1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Cone  1 x  1 is stacked (studs into its underside) to a existing Arch  1 x  4. The new piece stands upright. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 2.06}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.09}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.4, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.88}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.156}, "the whole build": {"build height after, mm": 20.8, "build footprint after, studs": "4.0 x 1.0", "new piece distance from the build centre, studs": 0.95, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.27, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.22, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.18, "new piece": "Cone  1 x  1"}}}, {"name": "3004", "aimed": false, "p": 0.105, "T": [[1.0, 0.0, 0.0, 16.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  2 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 3.48}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.78}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.39, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.633}, "the whole build": {"build height after, mm": 20.8, "build footprint after, studs": "5.0 x 1.0", "new piece distance from the build centre, studs": 2.33, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.55, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.87, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.71, "new piece": "Brick  1 x  2"}}}, {"name": "3069b", "aimed": false, "p": 0.015, "T": [[0.0, -1.0, 0.0, -4.0], [1.0, 0.0, 0.0, -4.0], [0.0, 0.0, 1.0, 3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Tile  1 x  2 with Groove is stacked (studs into its underside) to a existing Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 5.6, "farthest point of red from the grey centre, studs": 2.01}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 12.8, "height the red adds above the grey top, mm": 1.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.14}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.6", "how full that box is (1 = solid)": 0.31, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.62}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.225}, "the whole build": {"build height after, mm": 12.8, "build footprint after, studs": "4.0 x 2.0", "new piece distance from the build centre, studs": 0.79, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.94, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.35, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.11, "new piece": "Tile  1 x  2 with Groove"}}}]}
{"turn": 1, "might_be": "a small cloister where two arched walks cross", "next": "Another arch on top of the blue arch, sitting across it toward the front, so the vaults start to stack upward.", "want_piece": "arch", "want_on": "medium blue", "taste": "two arches crossing by accident, purple and blue only, a place to walk under", "pick": 2, "candidates": [{"name": "6091", "aimed": true, "p": 0.01, "T": [[1.0, 0.0, 0.0, -12.0], [0.0, 1.0, 0.0, 8.0], [0.0, 0.0, 1.0, 12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  1 x  1.333 with Curved Top is stacked (studs into its underside) to a existing Arch  1 x  4. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 10.4, "farthest point of red from the grey centre, studs": 3.02}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 22.4, "height the red adds above the grey top, mm": 11.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.55}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 2.8", "how full that box is (1 = solid)": 0.24, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.38}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.496}, "the whole build": {"build height after, mm": 32.0, "build footprint after, studs": "4.0 x 4.0", "new piece distance from the build centre, studs": 2.04, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 3}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.32, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.31, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.2, "new piece": "Brick  2 x  1 x  1.333 with Curved Top"}}}, {"name": "3659", "aimed": true, "p": 0.2, "T": [[-1.0, -0.0, 0.0, 8.0], [0.0, -1.0, 0.0, -0.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch  1 x  4 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 8 mm past the edge of the existing piece; 25% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 3.48}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.25}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 3, "touching area, square studs": 3.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.5}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 3}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.52, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 30.4, "build footprint after, studs": "5.0 x 4.0", "new piece distance from the build centre, studs": 2.52, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 3}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.29, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.5, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.59, "new piece": "Arch  1 x  4"}}}, {"name": "3659", "aimed": true, "p": 0.78, "T": [[-0.0, 1.0, 0.0, 4.0], [-1.0, -0.0, 0.0, 12.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch  1 x  4 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 1.5, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 4.02}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 24.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 2.0, "centre of mass offset from the grey centre, studs": 0.79}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 4.0 x 2.6", "how full that box is (1 = solid)": 0.16, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.38}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 30.4, "build footprint after, studs": "4.0 x 5.0", "new piece distance from the build centre, studs": 2.52, "build centre of mass outside the first piece footprint, mm": 1.3, "pieces in the build after": 3}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.29, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.67, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.07, "new piece": "Arch  1 x  4"}}}, {"name": "3034", "aimed": false, "p": 0.0, "T": [[-1.0, -0.0, 0.0, -8.0], [0.0, -1.0, 0.0, 4.0], [0.0, 0.0, 1.0, 3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x8 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 32 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 5.3}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 24.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 4, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.77}, "openness": {"free studs on the pair": 16, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.32, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.513}, "the whole build": {"build height after, mm": 24.0, "build footprint after, studs": "8.0 x 4.0", "new piece distance from the build centre, studs": 1.2, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 3}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.04, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.14, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.04, "new piece": "Plate 2x8"}}}, {"name": "3023", "aimed": false, "p": 0.005, "T": [[-0.0, 1.0, 0.0, -12.0], [-1.0, -0.0, 0.0, -12.0], [0.0, 0.0, 1.0, -6.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x2 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 3.17}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.48}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.45, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.281}, "the whole build": {"build height after, mm": 20.8, "build footprint after, studs": "4.0 x 5.0", "new piece distance from the build centre, studs": 1.9, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 3}, "where": {"joins the": "purple Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.59, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.81, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.57, "new piece": "Plate 1x2"}}}, {"name": "3747b", "aimed": false, "p": 0.005, "T": [[1.0, 0.0, 0.0, 8.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 33  3 x  2 Inverted with Ribs between Studs is stacked (studs into its underside) to a existing Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 16 mm past the edge of the existing piece; 67% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 3.31}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 16.0, "share of red footprint not over the grey": 0.67}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 1.8, "centre of mass offset from the grey centre, studs": 0.95}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 3.0 x 2.6", "how full that box is (1 = solid)": 0.27, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.949}, "the whole build": {"build height after, mm": 20.8, "build footprint after, studs": "4.0 x 5.0", "new piece distance from the build centre, studs": 2.34, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 3}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.37, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.22, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 1.02, "new piece": "Slope Brick 33  3 x  2 Inverted with Ribs between Studs"}}}, {"name": "3010", "aimed": false, "p": 0.0, "T": [[-0.0, 1.0, 0.0, -12.0], [-1.0, -0.0, 0.0, 4.0], [0.0, 0.0, 1.0, -19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick 1x4 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 4 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 2.8}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 4, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.0}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.65, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 1.0}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.819}, "the whole build": {"build height after, mm": 30.4, "build footprint after, studs": "4.0 x 4.0", "new piece distance from the build centre, studs": 2.0, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 3}, "where": {"joins the": "purple Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.11, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.33, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.16, "new piece": "Brick 1x4"}}}, {"name": "41770a", "aimed": false, "p": 0.0, "T": [[0.0, -1.0, 0.0, 16.0], [1.0, 0.0, 0.0, 4.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Wing  2 x  4 Left without Chamfer is stacked (studs into its underside) to a existing Arch  1 x  4. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 16 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 4.18}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.87}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.29, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.708}, "the whole build": {"build height after, mm": 20.8, "build footprint after, studs": "6.0 x 4.0", "new piece distance from the build centre, studs": 2.72, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 3}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.4, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.92, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.68, "new piece": "Wing  2 x  4 Left without Chamfer"}}}]}
{"turn": 2, "might_be": "a tiered aqueduct on a hillside", "next": "A long arch joined to the right end of the green arch, continuing the top tier outward so the water channel keeps going.", "want_piece": "arch", "want_on": "green", "taste": "arches stacked on arches, stepping back like a hill you could walk under", "pick": 4, "candidates": [{"name": "6091", "aimed": true, "p": 0.215, "T": [[-0.0, 1.0, 0.0, 4.0], [-1.0, -0.0, 0.0, 24.0], [0.0, 0.0, 1.0, 3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  1 x  1.333 with Curved Top is stacked (studs into its underside) to a existing Arch  1 x  4. It sits beside the existing piece, at the same height. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -8.8, "farthest point of red from the grey centre, studs": 3.14}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 0.4, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.53}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.25, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.38}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.496}, "the whole build": {"build height after, mm": 30.4, "build footprint after, studs": "4.0 x 5.0", "new piece distance from the build centre, studs": 2.37, "build centre of mass outside the first piece footprint, mm": 4.1, "pieces in the build after": 4}, "where": {"joins the": "green Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.59, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.61, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.7, "new piece": "Brick  2 x  1 x  1.333 with Curved Top"}}}, {"name": "6091", "aimed": true, "p": 0.12, "T": [[-1.0, -0.0, 0.0, 4.0], [0.0, -1.0, 0.0, 16.0], [0.0, 0.0, 1.0, 22.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  1 x  1.333 with Curved Top is stacked (studs into its underside) to a existing Arch  1 x  4. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 10.4, "farthest point of red from the grey centre, studs": 2.54}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 22.4, "height the red adds above the grey top, mm": 11.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.3}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 2.8", "how full that box is (1 = solid)": 0.47, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.496}, "the whole build": {"build height after, mm": 41.6, "build footprint after, studs": "4.0 x 5.0", "new piece distance from the build centre, studs": 3.13, "build centre of mass outside the first piece footprint, mm": 3.4, "pieces in the build after": 4}, "where": {"joins the": "green Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.22, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.61, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.39, "new piece": "Brick  2 x  1 x  1.333 with Curved Top"}}}, {"name": "6091", "aimed": true, "p": 0.1, "T": [[1.0, 0.0, 0.0, 4.0], [0.0, 1.0, 0.0, 24.0], [0.0, 0.0, 1.0, 22.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  1 x  1.333 with Curved Top is stacked (studs into its underside) to a existing Arch  1 x  4. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 10.4, "farthest point of red from the grey centre, studs": 2.67}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 22.4, "height the red adds above the grey top, mm": 11.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.37}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 2.8", "how full that box is (1 = solid)": 0.47, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.496}, "the whole build": {"build height after, mm": 41.6, "build footprint after, studs": "4.0 x 5.0", "new piece distance from the build centre, studs": 3.25, "build centre of mass outside the first piece footprint, mm": 3.6, "pieces in the build after": 4}, "where": {"joins the": "green Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.22, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.65, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.47, "new piece": "Brick  2 x  1 x  1.333 with Curved Top"}}}, {"name": "122c01", "aimed": false, "p": 0.0, "T": [[0.0, -1.0, 0.0, 8.0], [1.0, 0.0, 0.0, 4.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  2 x  2 with Red Wheels (Complete) is stacked (studs into its underside) to a existing Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -8.0, "farthest point of red from the grey centre, studs": 3.03}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 16.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 17.6, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.55}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 4.0 x 2.2", "how full that box is (1 = solid)": 0.23, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.81}, "the whole build": {"build height after, mm": 30.4, "build footprint after, studs": "4.0 x 5.0", "new piece distance from the build centre, studs": 1.81, "build centre of mass outside the first piece footprint, mm": 1.0, "pieces in the build after": 4}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.25, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.39, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.41, "new piece": "Plate  2 x  2 with Red Wheels (Complete)"}}}, {"name": "3659", "aimed": false, "p": 0.245, "T": [[1.0, 0.0, 0.0, -16.0], [0.0, 1.0, 0.0, -8.0], [0.0, 0.0, 1.0, -19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch  1 x  4 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 3.72}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 16.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.79}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 4.0 x 2.6", "how full that box is (1 = solid)": 0.16, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.38}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 3.36, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 4}, "where": {"joins the": "purple Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.06, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.9, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.27, "new piece": "Arch  1 x  4"}}}, {"name": "3069b", "aimed": false, "p": 0.075, "T": [[-1.0, -0.0, 0.0, -8.0], [0.0, -1.0, 0.0, -0.0], [0.0, 0.0, 1.0, 3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Tile  1 x  2 with Groove is stacked (studs into its underside) to a existing Arch  1 x  4. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 5.6, "farthest point of red from the grey centre, studs": 2.25}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 12.8, "height the red adds above the grey top, mm": 1.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.2}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 1.6", "how full that box is (1 = solid)": 0.62, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.225}, "the whole build": {"build height after, mm": 30.4, "build footprint after, studs": "4.0 x 5.0", "new piece distance from the build centre, studs": 1.01, "build centre of mass outside the first piece footprint, mm": 0.9, "pieces in the build after": 4}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.66, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.37, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.14, "new piece": "Tile  1 x  2 with Groove"}}}, {"name": "3747b", "aimed": false, "p": 0.01, "T": [[1.0, 0.0, 0.0, 16.0], [0.0, 1.0, 0.0, 8.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 33  3 x  2 Inverted with Ribs between Studs is stacked (studs into its underside) to a existing Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 16 mm past the edge of the existing piece; 83% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 3.85}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.83}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.23}, "openness": {"free studs on the pair": 9, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 3.0 x 2.6", "how full that box is (1 = solid)": 0.22, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.949}, "the whole build": {"build height after, mm": 30.4, "build footprint after, studs": "5.0 x 5.0", "new piece distance from the build centre, studs": 2.76, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 4}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.25, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.58, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.88, "new piece": "Slope Brick 33  3 x  2 Inverted with Ribs between Studs"}}}, {"name": "41770a", "aimed": false, "p": 0.235, "T": [[-1.0, -0.0, 0.0, 0.0], [0.0, -1.0, 0.0, 36.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Wing  2 x  4 Left without Chamfer is stacked (studs into its underside) to a existing Arch  1 x  4. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 24 mm past the edge of the existing piece; 88% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 3.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 5.14}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 24.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.88}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.32}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "7.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.25, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.708}, "the whole build": {"build height after, mm": 30.4, "build footprint after, studs": "4.0 x 8.0", "new piece distance from the build centre, studs": 3.79, "build centre of mass outside the first piece footprint, mm": 7.7, "pieces in the build after": 4}, "where": {"joins the": "green Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.59, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.92, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -1.2, "new piece": "Wing  2 x  4 Left without Chamfer"}}}]}
{"turn": 3, "might_be": "a tiered aqueduct on a hillside", "next": "A long arch joined to the right end of the green arch, level with it, reaching outward so the top tier spans across.", "want_piece": "arch", "want_on": "green", "taste": "arches stepping uphill like a stairway you could walk under", "pick": 0, "candidates": [{"name": "3659", "aimed": true, "p": 0.69, "T": [[0.0, -1.0, 0.0, 4.0], [1.0, 0.0, 0.0, 36.0], [0.0, 0.0, 1.0, 19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch  1 x  4 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 3.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 5.3}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 24.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.5}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "7.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.37, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 49.6, "build footprint after, studs": "6.0 x 8.0", "new piece distance from the build centre, studs": 5.35, "build centre of mass outside the first piece footprint, mm": 4.8, "pieces in the build after": 5}, "where": {"joins the": "green Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.15, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 1.03, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -1.16, "new piece": "Arch  1 x  4"}}}, {"name": "3659", "aimed": true, "p": 0.02, "T": [[0.0, -1.0, 0.0, 4.0], [1.0, 0.0, 0.0, 12.0], [0.0, 0.0, 1.0, 19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch  1 x  4 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 4 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 2.67}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 4, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.0}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.65, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 1.0}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 49.6, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 3.48, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 5}, "where": {"joins the": "green Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.15, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.57, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.07, "new piece": "Arch  1 x  4"}}}, {"name": "3659", "aimed": true, "p": 0.285, "T": [[0.0, -1.0, 0.0, 4.0], [1.0, 0.0, 0.0, 28.0], [0.0, 0.0, 1.0, 19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch  1 x  4 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 16 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 4.37}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.0}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.43, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 49.6, "build footprint after, studs": "6.0 x 7.0", "new piece distance from the build centre, studs": 4.6, "build centre of mass outside the first piece footprint, mm": 3.2, "pieces in the build after": 5}, "where": {"joins the": "green Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.15, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.88, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.8, "new piece": "Arch  1 x  4"}}}, {"name": "3001", "aimed": false, "p": 0.005, "T": [[-1.0, -0.0, 0.0, -24.0], [0.0, -1.0, 0.0, 4.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick 2x4 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 24 mm past the edge of the existing piece; 88% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 3.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 5.49}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 24.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.88}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.3, "centre of mass offset from the grey centre, studs": 2.06}, "openness": {"free studs on the pair": 11, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "7.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.28, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.537}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "7.0 x 5.0", "new piece distance from the build centre, studs": 2.88, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 5}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.91, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.45, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.5, "new piece": "Brick 2x4"}}}, {"name": "3062b", "aimed": false, "p": 0.0, "T": [[1.0, 0.0, 0.0, -4.0], [0.0, 1.0, 0.0, -8.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  1 Round with Hollow Stud is stacked (studs into its underside) to a existing Arch  1 x  4. The new piece stands upright. It sits on top of the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 2.62}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.32}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.38, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.62}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.22}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 1.47, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 5}, "where": {"joins the": "dark pink Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.41, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.06, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.61, "new piece": "Brick  1 x  1 Round with Hollow Stud"}}}, {"name": "2412b", "aimed": false, "p": 0.0, "T": [[-0.0, 1.0, 0.0, -4.0], [-1.0, -0.0, 0.0, -4.0], [0.0, 0.0, 1.0, 3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Tile  1 x  2 Grille with Groove is stacked (studs into its underside) to a existing Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 5.6, "farthest point of red from the grey centre, studs": 2.01}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 12.8, "height the red adds above the grey top, mm": 1.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.15}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.6", "how full that box is (1 = solid)": 0.3, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.62}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.167}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 1.26, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 5}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.75, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.02, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.43, "new piece": "Tile  1 x  2 Grille with Groove"}}}, {"name": "3062b", "aimed": false, "p": 0.0, "T": [[-1.0, -0.0, 0.0, 12.0], [0.0, -1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  1 Round with Hollow Stud is stacked (studs into its underside) to a existing Arch  1 x  4. The new piece stands upright. It sits on top of the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 2.62}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.32}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.38, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.62}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.22}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 2.82, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 5}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.89, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.59, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.7, "new piece": "Brick  1 x  1 Round with Hollow Stud"}}}, {"name": "3024", "aimed": false, "p": 0.0, "T": [[0.0, -1.0, 0.0, 12.0], [1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x1 is stacked (studs into its underside) to a existing Arch  1 x  4. It sits on top of the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 2.25}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.21}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.52, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.62}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.145}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 2.57, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 5}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.8, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.59, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.7, "new piece": "Plate 1x1"}}}]}
{"turn": 4, "might_be": "a tiered aqueduct on a hillside", "next": "An arch joined to the right end of the top blue arch, at the same height, reaching outward so the top finally runs level.", "want_piece": "arch", "want_on": "medium blue", "taste": "arches stepping uphill like a walk you could take underneath", "pick": 4, "candidates": [{"name": "3659", "aimed": true, "p": 0.16, "T": [[1.0, 0.0, 0.0, -16.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch  1 x  4 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 16 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 4.37}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.0}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.43, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 49.6, "build footprint after, studs": "6.0 x 8.0", "new piece distance from the build centre, studs": 2.21, "build centre of mass outside the first piece footprint, mm": 3.3, "pieces in the build after": 6}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.74, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.41, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.27, "new piece": "Arch  1 x  4"}}}, {"name": "6091", "aimed": true, "p": 0.0, "T": [[-0.0, 1.0, 0.0, 12.0], [-1.0, -0.0, 0.0, 40.0], [0.0, 0.0, 1.0, 32.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  1 x  1.333 with Curved Top is stacked (studs into its underside) to a existing Arch  1 x  4. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 10.4, "farthest point of red from the grey centre, studs": 2.48}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 22.4, "height the red adds above the grey top, mm": 11.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.27}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 2.8", "how full that box is (1 = solid)": 0.24, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.62}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.511}, "the whole build": {"build height after, mm": 60.8, "build footprint after, studs": "6.0 x 8.0", "new piece distance from the build centre, studs": 5.59, "build centre of mass outside the first piece footprint, mm": 7.7, "pieces in the build after": 6}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.13, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.83, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.47, "new piece": "Brick  2 x  1 x  1.333 with Curved Top"}}}, {"name": "6091", "aimed": true, "p": 0.01, "T": [[1.0, 0.0, 0.0, 4.0], [0.0, 1.0, 0.0, 56.0], [0.0, 0.0, 1.0, 32.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  1 x  1.333 with Curved Top is stacked (studs into its underside) to a existing Arch  1 x  4. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 10.4, "farthest point of red from the grey centre, studs": 3.48}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 22.4, "height the red adds above the grey top, mm": 11.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.71}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 1.0 x 2.8", "how full that box is (1 = solid)": 0.38, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.496}, "the whole build": {"build height after, mm": 60.8, "build footprint after, studs": "6.0 x 9.0", "new piece distance from the build centre, studs": 6.69, "build centre of mass outside the first piece footprint, mm": 8.9, "pieces in the build after": 6}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.13, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.91, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.95, "new piece": "Brick  2 x  1 x  1.333 with Curved Top"}}}, {"name": "6141", "aimed": false, "p": 0.0, "T": [[-0.0, 1.0, 0.0, -12.0], [-1.0, -0.0, 0.0, 8.0], [0.0, 0.0, 1.0, -6.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round is stacked (studs into its underside) to a existing Arch  1 x  4. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 1.36}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.05}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.5, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.88}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.085}, "the whole build": {"build height after, mm": 49.6, "build footprint after, studs": "6.0 x 8.0", "new piece distance from the build centre, studs": 1.21, "build centre of mass outside the first piece footprint, mm": 4.8, "pieces in the build after": 6}, "where": {"joins the": "purple Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.43, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.19, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.11, "new piece": "Plate  1 x  1 Round"}}}, {"name": "3659", "aimed": false, "p": 0.825, "T": [[0.0, -1.0, 0.0, 4.0], [1.0, 0.0, 0.0, 52.0], [0.0, 0.0, 1.0, 28.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch  1 x  4 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 16 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 4.37}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.0}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.43, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 59.2, "build footprint after, studs": "6.0 x 10.0", "new piece distance from the build centre, studs": 6.57, "build centre of mass outside the first piece footprint, mm": 12.0, "pieces in the build after": 6}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.12, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.9, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.92, "new piece": "Arch  1 x  4"}}}, {"name": "3298", "aimed": false, "p": 0.0, "T": [[0.0, -1.0, 0.0, -4.0], [1.0, 0.0, 0.0, -4.0], [0.0, 0.0, 1.0, -28.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 33  3 x  2 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 16 mm past the edge of the existing piece; 83% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.25, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 4.68}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.83}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.28}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.27, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.992}, "the whole build": {"build height after, mm": 59.2, "build footprint after, studs": "6.0 x 8.0", "new piece distance from the build centre, studs": 4.32, "build centre of mass outside the first piece footprint, mm": 2.3, "pieces in the build after": 6}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.09, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.02, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.74, "new piece": "Slope Brick 33  3 x  2"}}}, {"name": "6141", "aimed": false, "p": 0.0, "T": [[1.0, 0.0, 0.0, 12.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round is stacked (studs into its underside) to a existing Arch  1 x  4. It sits underneath the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 2.2}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.16}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.5, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.62}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.085}, "the whole build": {"build height after, mm": 49.6, "build footprint after, studs": "6.0 x 8.0", "new piece distance from the build centre, studs": 2.53, "build centre of mass outside the first piece footprint, mm": 4.6, "pieces in the build after": 6}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.37, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.29, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.8, "new piece": "Plate  1 x  1 Round"}}}, {"name": "4589", "aimed": false, "p": 0.0, "T": [[1.0, 0.0, 0.0, 4.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Cone  1 x  1 is stacked (studs into its underside) to a existing Arch  1 x  4. The new piece stands upright. It sits on top of the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 2.62}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.28}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.4, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.62}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.156}, "the whole build": {"build height after, mm": 49.6, "build footprint after, studs": "6.0 x 8.0", "new piece distance from the build centre, studs": 2.5, "build centre of mass outside the first piece footprint, mm": 4.4, "pieces in the build after": 6}, "where": {"joins the": "green Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.87, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.09, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.65, "new piece": "Cone  1 x  1"}}}]}
{"turn": 5, "might_be": "a big humpback bridge made of little arches", "next": "An arch joined to the right end of the top dark blue arch, one step lower, so the bridge starts coming down.", "want_piece": "arch", "want_on": "blue", "taste": "a stair of blue arches that could turn and come back down", "pick": 4, "candidates": [{"name": "6091", "aimed": true, "p": 0.06, "T": [[1.0, 0.0, 0.0, 4.0], [0.0, 1.0, 0.0, 72.0], [0.0, 0.0, 1.0, 41.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  1 x  1.333 with Curved Top is stacked (studs into its underside) to a existing Arch  1 x  4. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 10.4, "farthest point of red from the grey centre, studs": 3.48}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 22.4, "height the red adds above the grey top, mm": 11.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.71}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 1.0 x 2.8", "how full that box is (1 = solid)": 0.38, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.496}, "the whole build": {"build height after, mm": 70.4, "build footprint after, studs": "6.0 x 11.0", "new piece distance from the build centre, studs": 7.91, "build centre of mass outside the first piece footprint, mm": 16.2, "pieces in the build after": 7}, "where": {"joins the": "blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.11, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.92, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.96, "new piece": "Brick  2 x  1 x  1.333 with Curved Top"}}}, {"name": "6091", "aimed": true, "p": 0.005, "T": [[-0.0, 1.0, 0.0, 12.0], [-1.0, -0.0, 0.0, 48.0], [0.0, 0.0, 1.0, 41.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  1 x  1.333 with Curved Top is stacked (studs into its underside) to a existing Arch  1 x  4. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 10.4, "farthest point of red from the grey centre, studs": 2.48}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 22.4, "height the red adds above the grey top, mm": 11.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.27}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 2.8", "how full that box is (1 = solid)": 0.24, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.62}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.511}, "the whole build": {"build height after, mm": 70.4, "build footprint after, studs": "6.0 x 10.0", "new piece distance from the build centre, studs": 6.02, "build centre of mass outside the first piece footprint, mm": 14.5, "pieces in the build after": 7}, "where": {"joins the": "blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.11, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.74, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.38, "new piece": "Brick  2 x  1 x  1.333 with Curved Top"}}}, {"name": "6091", "aimed": true, "p": 0.035, "T": [[-1.0, -0.0, 0.0, 4.0], [0.0, -1.0, 0.0, 56.0], [0.0, 0.0, 1.0, 41.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  1 x  1.333 with Curved Top is stacked (studs into its underside) to a existing Arch  1 x  4. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 10.4, "farthest point of red from the grey centre, studs": 2.54}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 22.4, "height the red adds above the grey top, mm": 11.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.3}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 2.8", "how full that box is (1 = solid)": 0.47, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.496}, "the whole build": {"build height after, mm": 70.4, "build footprint after, studs": "6.0 x 10.0", "new piece distance from the build centre, studs": 6.93, "build centre of mass outside the first piece footprint, mm": 15.4, "pieces in the build after": 7}, "where": {"joins the": "blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.11, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.79, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.72, "new piece": "Brick  2 x  1 x  1.333 with Curved Top"}}}, {"name": "6091", "aimed": true, "p": 0.02, "T": [[-1.0, -0.0, 0.0, 4.0], [0.0, -1.0, 0.0, 40.0], [0.0, 0.0, 1.0, 41.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  1 x  1.333 with Curved Top is stacked (studs into its underside) to a existing Arch  1 x  4. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 10.4, "farthest point of red from the grey centre, studs": 2.67}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 22.4, "height the red adds above the grey top, mm": 11.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.37}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 2.8", "how full that box is (1 = solid)": 0.47, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.496}, "the whole build": {"build height after, mm": 70.4, "build footprint after, studs": "6.0 x 10.0", "new piece distance from the build centre, studs": 5.52, "build centre of mass outside the first piece footprint, mm": 14.1, "pieces in the build after": 7}, "where": {"joins the": "blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.11, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.57, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.33, "new piece": "Brick  2 x  1 x  1.333 with Curved Top"}}}, {"name": "3659", "aimed": true, "p": 0.82, "T": [[0.0, -1.0, 0.0, 4.0], [1.0, 0.0, 0.0, 36.0], [0.0, 0.0, 1.0, 38.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch  1 x  4 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 16 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 4.37}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.0}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.43, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 68.8, "build footprint after, studs": "6.0 x 10.0", "new piece distance from the build centre, studs": 4.96, "build centre of mass outside the first piece footprint, mm": 14.9, "pieces in the build after": 7}, "where": {"joins the": "blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.1, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.47, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.16, "new piece": "Arch  1 x  4"}}}, {"name": "3040b", "aimed": false, "p": 0.05, "T": [[0.0, -1.0, 0.0, 12.0], [1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  1 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 3.59}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.64}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.39, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.445}, "the whole build": {"build height after, mm": 59.2, "build footprint after, studs": "7.0 x 10.0", "new piece distance from the build centre, studs": 3.61, "build centre of mass outside the first piece footprint, mm": 10.7, "pieces in the build after": 7}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.26, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.21, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.89, "new piece": "Slope Brick 45  2 x  1"}}}, {"name": "3010", "aimed": false, "p": 0.005, "T": [[-0.0, 1.0, 0.0, -12.0], [-1.0, -0.0, 0.0, 28.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick 1x4 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 3.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 5.3}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 24.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.66}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "7.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.37, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.819}, "the whole build": {"build height after, mm": 59.2, "build footprint after, studs": "6.0 x 10.0", "new piece distance from the build centre, studs": 2.01, "build centre of mass outside the first piece footprint, mm": 14.1, "pieces in the build after": 7}, "where": {"joins the": "purple Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.45, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.0, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.21, "new piece": "Brick 1x4"}}}, {"name": "3062b", "aimed": false, "p": 0.005, "T": [[-0.0, 1.0, 0.0, 4.0], [-1.0, -0.0, 0.0, 48.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  1 Round with Hollow Stud is stacked (studs into its underside) to a existing Arch  1 x  4. The new piece stands upright. It sits underneath the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 2.69}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.32}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.38, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.62}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.22}, "the whole build": {"build height after, mm": 59.2, "build footprint after, studs": "6.0 x 10.0", "new piece distance from the build centre, studs": 4.11, "build centre of mass outside the first piece footprint, mm": 13.4, "pieces in the build after": 7}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.6, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.63, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.45, "new piece": "Brick  1 x  1 Round with Hollow Stud"}}}]}
{"turn": 6, "might_be": "a humpback bridge made of little arches", "next": "A dark blue arch joined below the right end of the lower dark blue arch, stepping down and reaching out right.", "want_piece": "arch", "want_on": "blue", "taste": "a stone stair of arches cresting, about to come down the other side", "pick": 3, "candidates": [{"name": "3659", "aimed": true, "p": 0.2, "T": [[-0.0, 1.0, 0.0, 4.0], [-1.0, -0.0, 0.0, 28.0], [0.0, 0.0, 1.0, 28.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch  1 x  4 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 8 mm past the edge of the existing piece; 25% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 3.59}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.25}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 3, "touching area, square studs": 3.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.5}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 3}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.52, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 68.8, "build footprint after, studs": "6.0 x 10.0", "new piece distance from the build centre, studs": 2.75, "build centre of mass outside the first piece footprint, mm": 16.0, "pieces in the build after": 8}, "where": {"joins the": "blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.81, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.36, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.04, "new piece": "Arch  1 x  4"}}}, {"name": "6091", "aimed": true, "p": 0.0, "T": [[-1.0, -0.0, 0.0, 4.0], [0.0, -1.0, 0.0, 40.0], [0.0, 0.0, 1.0, 51.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  1 x  1.333 with Curved Top is stacked (studs into its underside) to a existing Arch  1 x  4. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 10.4, "farthest point of red from the grey centre, studs": 2.54}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 22.4, "height the red adds above the grey top, mm": 11.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.3}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 2.8", "how full that box is (1 = solid)": 0.47, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.496}, "the whole build": {"build height after, mm": 80.0, "build footprint after, studs": "6.0 x 10.0", "new piece distance from the build centre, studs": 5.78, "build centre of mass outside the first piece footprint, mm": 16.5, "pieces in the build after": 8}, "where": {"joins the": "blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.1, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.57, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.33, "new piece": "Brick  2 x  1 x  1.333 with Curved Top"}}}, {"name": "3659", "aimed": true, "p": 0.05, "T": [[-1.0, -0.0, 0.0, 8.0], [0.0, -1.0, 0.0, 24.0], [0.0, 0.0, 1.0, 28.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch  1 x  4 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 3.72}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 16.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.79}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 4.0 x 2.6", "how full that box is (1 = solid)": 0.16, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.38}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 68.8, "build footprint after, studs": "7.0 x 10.0", "new piece distance from the build centre, studs": 2.77, "build centre of mass outside the first piece footprint, mm": 15.5, "pieces in the build after": 8}, "where": {"joins the": "blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.81, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.39, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.2, "new piece": "Arch  1 x  4"}}}, {"name": "3659", "aimed": true, "p": 0.725, "T": [[-0.0, 1.0, 0.0, 4.0], [-1.0, -0.0, 0.0, 12.0], [0.0, 0.0, 1.0, 28.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch  1 x  4 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 3.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 5.37}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 24.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.5}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "7.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.37, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 68.8, "build footprint after, studs": "6.0 x 10.0", "new piece distance from the build centre, studs": 2.65, "build centre of mass outside the first piece footprint, mm": 14.0, "pieces in the build after": 8}, "where": {"joins the": "blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.81, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.13, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.43, "new piece": "Arch  1 x  4"}}}, {"name": "3659", "aimed": true, "p": 0.02, "T": [[0.0, -1.0, 0.0, 4.0], [1.0, 0.0, 0.0, 44.0], [0.0, 0.0, 1.0, 48.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch  1 x  4 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 8 mm past the edge of the existing piece; 25% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 3.48}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.25}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 3, "touching area, square studs": 3.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.5}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 3}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.52, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 78.4, "build footprint after, studs": "6.0 x 10.0", "new piece distance from the build centre, studs": 5.78, "build centre of mass outside the first piece footprint, mm": 18.0, "pieces in the build after": 8}, "where": {"joins the": "blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.09, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.58, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.35, "new piece": "Arch  1 x  4"}}}, {"name": "3700", "aimed": false, "p": 0.005, "T": [[0.0, -1.0, 0.0, -4.0], [1.0, 0.0, 0.0, -4.0], [0.0, 0.0, 1.0, -28.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x2 with hole is stacked (studs into its underside) to a existing Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 3.14}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.63}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 2, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.24, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.38}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.573}, "the whole build": {"build height after, mm": 78.4, "build footprint after, studs": "6.0 x 10.0", "new piece distance from the build centre, studs": 5.7, "build centre of mass outside the first piece footprint, mm": 12.9, "pieces in the build after": 8}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.04, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.27, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.7, "new piece": "Technic Brick 1x2 with hole"}}}, {"name": "3700", "aimed": false, "p": 0.0, "T": [[1.0, 0.0, 0.0, 0.0], [0.0, 1.0, 0.0, 24.0], [0.0, 0.0, 1.0, 28.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x2 with hole is stacked (studs into its underside) to a existing Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 3.02}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.63}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 2, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.24, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.38}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.574}, "the whole build": {"build height after, mm": 68.8, "build footprint after, studs": "6.0 x 10.0", "new piece distance from the build centre, studs": 2.37, "build centre of mass outside the first piece footprint, mm": 15.3, "pieces in the build after": 8}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.8, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.21, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.07, "new piece": "Technic Brick 1x2 with hole"}}}, {"name": "3001", "aimed": false, "p": 0.0, "T": [[-1.0, -0.0, 0.0, 0.0], [0.0, -1.0, 0.0, 28.0], [0.0, 0.0, 1.0, 48.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick 2x4 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 3.62}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 16.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.76}, "openness": {"free studs on the pair": 10, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 4.0 x 2.6", "how full that box is (1 = solid)": 0.24, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.537}, "the whole build": {"build height after, mm": 78.4, "build footprint after, studs": "6.0 x 10.0", "new piece distance from the build centre, studs": 4.92, "build centre of mass outside the first piece footprint, mm": 17.0, "pieces in the build after": 8}, "where": {"joins the": "blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.09, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.27, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.02, "new piece": "Brick 2x4"}}}]}
{"turn": 7, "might_be": "a humpback bridge made of little arches", "next": "A medium blue arch joined under the right end of the front dark blue arch, one step lower, reaching right and down.", "want_piece": "arch", "want_on": "dark blue", "taste": "a crest of blue arches, and the moment a climbing path turns downhill", "pick": 2, "candidates": [{"name": "3747b", "aimed": false, "p": 0.3, "T": [[1.0, 0.0, 0.0, 8.0], [0.0, 1.0, 0.0, 24.0], [0.0, 0.0, 1.0, 48.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 33  3 x  2 Inverted with Ribs between Studs is stacked (studs into its underside) to a existing Arch  1 x  4. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 16 mm past the edge of the existing piece; 83% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.25, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 4.6}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.83}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.67}, "openness": {"free studs on the pair": 9, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.27, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.949}, "the whole build": {"build height after, mm": 78.4, "build footprint after, studs": "6.0 x 10.0", "new piece distance from the build centre, studs": 4.64, "build centre of mass outside the first piece footprint, mm": 13.4, "pieces in the build after": 9}, "where": {"joins the": "blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.09, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.26, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.42, "new piece": "Slope Brick 33  3 x  2 Inverted with Ribs between Studs"}}}, {"name": "3701", "aimed": false, "p": 0.035, "T": [[1.0, 0.0, 0.0, -24.0], [0.0, 1.0, 0.0, 8.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x4 with holes is stacked (studs into its underside) to a existing Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 1.5, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 4.02}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 24.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 2.8, "centre of mass offset from the grey centre, studs": 0.89}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 6, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 4.0 x 2.6", "how full that box is (1 = solid)": 0.16, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.38}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.941}, "the whole build": {"build height after, mm": 68.8, "build footprint after, studs": "7.0 x 10.0", "new piece distance from the build centre, studs": 3.56, "build centre of mass outside the first piece footprint, mm": 12.6, "pieces in the build after": 9}, "where": {"joins the": "purple Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.37, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.54, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.1, "new piece": "Technic Brick 1x4 with holes"}}}, {"name": "3941", "aimed": false, "p": 0.665, "T": [[-1.0, -0.0, 0.0, 8.0], [0.0, -1.0, 0.0, 68.0], [0.0, 0.0, 1.0, 19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  2 Round without Reinforcement is stacked (studs into its underside) to a existing Arch  1 x  4. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 3.6}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.97}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.26, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.781}, "the whole build": {"build height after, mm": 68.8, "build footprint after, studs": "6.0 x 11.0", "new piece distance from the build centre, studs": 6.38, "build centre of mass outside the first piece footprint, mm": 19.0, "pieces in the build after": 9}, "where": {"joins the": "blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.64, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 1.0, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.88, "new piece": "Brick  2 x  2 Round without Reinforcement"}}}]}
{"turn": 8, "might_be": "a moonlit arched bridge", "next": "A medium blue arch joined below the right end of the lower dark blue arch, stepping down under the moon and reaching right.", "want_piece": "arch", "want_on": "dark blue", "taste": "one warm round moon hanging beside a cool blue stair of arches", "pick": 2, "candidates": [{"name": "3004", "aimed": false, "p": 0.225, "T": [[-0.0, 1.0, 0.0, 4.0], [-1.0, -0.0, 0.0, 4.0], [0.0, 0.0, 1.0, 19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  2 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 2.67}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.39}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.48, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.633}, "the whole build": {"build height after, mm": 68.8, "build footprint after, studs": "6.0 x 11.0", "new piece distance from the build centre, studs": 2.63, "build centre of mass outside the first piece footprint, mm": 17.8, "pieces in the build after": 10}, "where": {"joins the": "green Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.67, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.07, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.64, "new piece": "Brick  1 x  2"}}}, {"name": "3666", "aimed": false, "p": 0.35, "T": [[-1.0, -0.0, 0.0, 16.0], [0.0, -1.0, 0.0, 40.0], [0.0, 0.0, 1.0, 41.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  6 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 40 mm past the edge of the existing piece; 83% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 1.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 4.7}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 32.0, "share of red footprint not over the grey": 0.83}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 1.7, "centre of mass offset from the grey centre, studs": 0.75}, "openness": {"free studs on the pair": 9, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 4.0 x 1.8", "how full that box is (1 = solid)": 0.13, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.38}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.826}, "the whole build": {"build height after, mm": 72.0, "build footprint after, studs": "9.0 x 11.0", "new piece distance from the build centre, studs": 4.74, "build centre of mass outside the first piece footprint, mm": 20.6, "pieces in the build after": 10}, "where": {"joins the": "blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.01, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.62, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.02, "new piece": "Plate  1 x  6"}}}, {"name": "3023", "aimed": false, "p": 0.425, "T": [[-0.0, 1.0, 0.0, -12.0], [-1.0, -0.0, 0.0, 4.0], [0.0, 0.0, 1.0, 3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x2 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 2.66}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.38}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.28, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.38}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.281}, "the whole build": {"build height after, mm": 68.8, "build footprint after, studs": "6.0 x 11.0", "new piece distance from the build centre, studs": 3.04, "build centre of mass outside the first piece footprint, mm": 18.4, "pieces in the build after": 10}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.46, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.4, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.41, "new piece": "Plate 1x2"}}}]}
{"turn": 9, "might_be": "a moonlit arched bridge with a lantern", "next": "A medium blue arch joined below the right end of the lower dark blue arch, stepping down past the moon and reaching right.", "want_piece": "arch", "want_on": "dark blue", "taste": "a small warm lamp and a low moon on a cool blue bridge", "pick": 0, "candidates": [{"name": "3666", "aimed": false, "p": 0.675, "T": [[0.0, -1.0, 0.0, -4.0], [1.0, 0.0, 0.0, -4.0], [0.0, 0.0, 1.0, -28.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  6 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 40 mm past the edge of the existing piece; 83% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 4.18}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 24.0, "share of red footprint not over the grey": 0.83}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.75}, "openness": {"free studs on the pair": 9, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 4.0 x 1.8", "how full that box is (1 = solid)": 0.13, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.38}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.826}, "the whole build": {"build height after, mm": 72.0, "build footprint after, studs": "6.0 x 13.0", "new piece distance from the build centre, studs": 5.89, "build centre of mass outside the first piece footprint, mm": 16.0, "pieces in the build after": 11}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.01, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.33, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.71, "new piece": "Plate  1 x  6"}}}, {"name": "3070b", "aimed": false, "p": 0.06, "T": [[0.0, -1.0, 0.0, 4.0], [1.0, 0.0, 0.0, 72.0], [0.0, 0.0, 1.0, 22.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Tile  1 x  1 with Groove is stacked (studs into its underside) to a existing Brick  2 x  2 Round without Reinforcement. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 5.6, "farthest point of red from the grey centre, studs": 1.68}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 12.8, "height the red adds above the grey top, mm": 1.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.1}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 1.6", "how full that box is (1 = solid)": 0.57, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.154}, "the whole build": {"build height after, mm": 68.8, "build footprint after, studs": "6.0 x 11.0", "new piece distance from the build centre, studs": 6.46, "build centre of mass outside the first piece footprint, mm": 19.1, "pieces in the build after": 11}, "where": {"joins the": "yellow Brick  2 x  2 Round without Reinforcement", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.71, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.78, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.93, "new piece": "Tile  1 x  1 with Groove"}}}, {"name": "3004", "aimed": false, "p": 0.265, "T": [[-0.0, 1.0, 0.0, 4.0], [-1.0, -0.0, 0.0, 36.0], [0.0, 0.0, 1.0, 48.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  2 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 2.06}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.0}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.48, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 1.0}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.633}, "the whole build": {"build height after, mm": 78.4, "build footprint after, studs": "6.0 x 11.0", "new piece distance from the build centre, studs": 4.91, "build centre of mass outside the first piece footprint, mm": 19.3, "pieces in the build after": 11}, "where": {"joins the": "blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.09, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.33, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.1, "new piece": "Brick  1 x  2"}}}]}
{"turn": 10, "might_be": "a moonlit arched bridge over water", "next": "A medium blue arch joined below the right end of the lower dark blue arch, stepping down under the moon toward the right.", "want_piece": "arch", "want_on": "dark blue", "taste": "a long quiet line of water underneath, giving the arches somewhere to stand", "pick": 0, "candidates": [{"name": "3010", "aimed": false, "p": 0.825, "T": [[-1.0, -0.0, 0.0, -32.0], [0.0, -1.0, 0.0, -8.0], [0.0, 0.0, 1.0, -28.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick 1x4 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 16 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 4.46}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.11}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.43, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.819}, "the whole build": {"build height after, mm": 78.4, "build footprint after, studs": "8.0 x 13.0", "new piece distance from the build centre, studs": 6.93, "build centre of mass outside the first piece footprint, mm": 13.0, "pieces in the build after": 12}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.01, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.95, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.2, "new piece": "Brick 1x4"}}}, {"name": "3001", "aimed": false, "p": 0.09, "T": [[-1.0, -0.0, 0.0, 8.0], [0.0, -1.0, 0.0, 60.0], [0.0, 0.0, 1.0, 38.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick 2x4 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 3.62}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 16.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.76}, "openness": {"free studs on the pair": 10, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 4.0 x 2.6", "how full that box is (1 = solid)": 0.24, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.537}, "the whole build": {"build height after, mm": 72.0, "build footprint after, studs": "7.0 x 13.0", "new piece distance from the build centre, studs": 6.44, "build centre of mass outside the first piece footprint, mm": 22.9, "pieces in the build after": 12}, "where": {"joins the": "blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.95, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.71, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.66, "new piece": "Brick 2x4"}}}, {"name": "3024", "aimed": false, "p": 0.085, "T": [[1.0, 0.0, 0.0, 4.0], [0.0, 1.0, 0.0, 40.0], [0.0, 0.0, 1.0, 41.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x1 is stacked (studs into its underside) to a existing Arch  1 x  4. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 1.44}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.07}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.52, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.88}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.145}, "the whole build": {"build height after, mm": 75.2, "build footprint after, studs": "6.0 x 13.0", "new piece distance from the build centre, studs": 5.15, "build centre of mass outside the first piece footprint, mm": 16.3, "pieces in the build after": 12}, "where": {"joins the": "blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.02, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.38, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.31, "new piece": "Plate 1x1"}}}]}
{"turn": 11, "might_be": "a moonlit arched bridge over water", "next": "A medium blue arch joined below the right end of the lower dark blue arch, stepping down beside the moon and reaching right.", "want_piece": "arch", "want_on": "dark blue", "taste": "a warm glow low by the water answering a moon up high", "pick": 2, "candidates": [{"name": "3062b", "aimed": false, "p": 0.125, "T": [[-0.0, 1.0, 0.0, -4.0], [-1.0, -0.0, 0.0, -16.0], [0.0, 0.0, 1.0, -19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  1 Round with Hollow Stud is stacked (studs into its underside) to a existing Plate  1 x  6. The new piece stands upright. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 2.39}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.34}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.25, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.266}, "the whole build": {"build height after, mm": 78.4, "build footprint after, studs": "8.0 x 13.0", "new piece distance from the build centre, studs": 5.2, "build centre of mass outside the first piece footprint, mm": 12.2, "pieces in the build after": 13}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.21, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.28, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.71, "new piece": "Brick  1 x  1 Round with Hollow Stud"}}}, {"name": "4589", "aimed": false, "p": 0.39, "T": [[1.0, 0.0, 0.0, 4.0], [0.0, 1.0, 0.0, 56.0], [0.0, 0.0, 1.0, 38.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Cone  1 x  1 is stacked (studs into its underside) to a existing Arch  1 x  4. The new piece stands upright. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 2.06}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.09}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.4, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.88}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.156}, "the whole build": {"build height after, mm": 78.4, "build footprint after, studs": "8.0 x 13.0", "new piece distance from the build centre, studs": 6.25, "build centre of mass outside the first piece footprint, mm": 13.7, "pieces in the build after": 13}, "where": {"joins the": "blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.92, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.64, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.63, "new piece": "Cone  1 x  1"}}}, {"name": "4589", "aimed": false, "p": 0.485, "T": [[-1.0, -0.0, 0.0, 4.0], [0.0, -1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Cone  1 x  1 is stacked (studs into its underside) to a existing Arch  1 x  4. The new piece stands upright. It sits underneath the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 2.69}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.28}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.4, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.62}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.156}, "the whole build": {"build height after, mm": 78.4, "build footprint after, studs": "8.0 x 13.0", "new piece distance from the build centre, studs": 2.72, "build centre of mass outside the first piece footprint, mm": 12.6, "pieces in the build after": 13}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.67, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.03, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.49, "new piece": "Cone  1 x  1"}}}]}
{"turn": 12, "might_be": "a lantern-lit moonlit bridge over water", "next": "A small orange piece tucked under the dark blue arch higher up, a second lantern, so the lamps form a row climbing the bridge.", "want_piece": "small", "want_on": "dark blue", "taste": "a warm lantern glowing under a dark arch, lighting the way up", "pick": 0, "candidates": [{"name": "3747b", "aimed": false, "p": 0.565, "T": [[-1.0, -0.0, 0.0, -24.0], [0.0, -1.0, 0.0, -8.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 33  3 x  2 Inverted with Ribs between Studs is stacked (studs into its underside) to a existing Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 16 mm past the edge of the existing piece; 67% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 3.62}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 16.0, "share of red footprint not over the grey": 0.67}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 1.8, "centre of mass offset from the grey centre, studs": 0.95}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 3.0 x 2.6", "how full that box is (1 = solid)": 0.27, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.949}, "the whole build": {"build height after, mm": 78.4, "build footprint after, studs": "8.0 x 13.0", "new piece distance from the build centre, studs": 3.7, "build centre of mass outside the first piece footprint, mm": 10.8, "pieces in the build after": 14}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.34, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.44, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.12, "new piece": "Slope Brick 33  3 x  2 Inverted with Ribs between Studs"}}}, {"name": "41769a", "aimed": false, "p": 0.035, "T": [[1.0, 0.0, 0.0, -24.0], [0.0, 1.0, 0.0, -4.0], [0.0, 0.0, 1.0, -38.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Wing  2 x  4 Right without Chamfer is stacked (studs into its underside) to a existing Brick 1x4. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 3.39}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 16.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.52}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 4.0 x 1.8", "how full that box is (1 = solid)": 0.22, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.58}, "the whole build": {"build height after, mm": 81.6, "build footprint after, studs": "8.0 x 13.0", "new piece distance from the build centre, studs": 6.42, "build centre of mass outside the first piece footprint, mm": 11.3, "pieces in the build after": 14}, "where": {"joins the": "yellow Brick 1x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.02, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.46, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.23, "new piece": "Wing  2 x  4 Right without Chamfer"}}}, {"name": "3004", "aimed": false, "p": 0.4, "T": [[0.0, -1.0, 0.0, 12.0], [1.0, 0.0, 0.0, 76.0], [0.0, 0.0, 1.0, 28.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  2 is stacked (studs into its underside) to a existing Brick  2 x  2 Round without Reinforcement. It sits on top of the existing piece. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 2.81}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.47}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.32, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.42}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.811}, "the whole build": {"build height after, mm": 78.4, "build footprint after, studs": "8.0 x 14.0", "new piece distance from the build centre, studs": 8.29, "build centre of mass outside the first piece footprint, mm": 15.7, "pieces in the build after": 14}, "where": {"joins the": "yellow Brick  2 x  2 Round without Reinforcement", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.83, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.99, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.92, "new piece": "Brick  1 x  2"}}}]}
{"turn": 13, "might_be": "a lantern-lit moonlit bridge leaving a dark hill", "next": "A small orange piece tucked under the high dark blue arch near the moon, a second lantern continuing the row upward.", "want_piece": "small", "want_on": "blue", "taste": "a dark hill at the foot, and lamps climbing toward a low moon", "pick": 2, "candidates": [{"name": "3022", "aimed": true, "p": 0.095, "T": [[-1.0, -0.0, 0.0, 8.0], [0.0, -1.0, 0.0, 20.0], [0.0, 0.0, 1.0, 41.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x2 is stacked (studs into its underside) to a existing Arch  1 x  4. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 3.47}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.75}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.27, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.511}, "the whole build": {"build height after, mm": 81.6, "build footprint after, studs": "8.0 x 13.0", "new piece distance from the build centre, studs": 5.09, "build centre of mass outside the first piece footprint, mm": 11.0, "pieces in the build after": 15}, "where": {"joins the": "blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.02, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.32, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.14, "new piece": "Plate 2x2"}}}, {"name": "3023", "aimed": true, "p": 0.175, "T": [[1.0, 0.0, 0.0, 8.0], [0.0, 1.0, 0.0, 64.0], [0.0, 0.0, 1.0, 32.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x2 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 2.66}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.38}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.28, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.38}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.281}, "the whole build": {"build height after, mm": 78.4, "build footprint after, studs": "8.0 x 13.0", "new piece distance from the build centre, studs": 7.3, "build centre of mass outside the first piece footprint, mm": 11.9, "pieces in the build after": 15}, "where": {"joins the": "blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.89, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.8, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.73, "new piece": "Plate 1x2"}}}, {"name": "3004", "aimed": true, "p": 0.23, "T": [[1.0, 0.0, 0.0, 0.0], [0.0, 1.0, 0.0, 40.0], [0.0, 0.0, 1.0, 48.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  2 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 2.48}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.28}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.24, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.62}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.633}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "8.0 x 13.0", "new piece distance from the build centre, studs": 6.28, "build centre of mass outside the first piece footprint, mm": 12.0, "pieces in the build after": 15}, "where": {"joins the": "blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.08, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.4, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.36, "new piece": "Brick  1 x  2"}}}, {"name": "3700", "aimed": true, "p": 0.11, "T": [[1.0, 0.0, 0.0, 8.0], [0.0, 1.0, 0.0, 24.0], [0.0, 0.0, 1.0, 48.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x2 with hole is stacked (studs into its underside) to a existing Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 3.02}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.63}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 2, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.24, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.38}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.574}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "8.0 x 13.0", "new piece distance from the build centre, studs": 5.63, "build centre of mass outside the first piece footprint, mm": 11.2, "pieces in the build after": 15}, "where": {"joins the": "blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.07, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.36, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.06, "new piece": "Technic Brick 1x2 with hole"}}}, {"name": "3004", "aimed": true, "p": 0.165, "T": [[1.0, 0.0, 0.0, 8.0], [0.0, 1.0, 0.0, 56.0], [0.0, 0.0, 1.0, 38.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  2 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 2.48}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.28}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.24, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.62}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.633}, "the whole build": {"build height after, mm": 78.4, "build footprint after, studs": "8.0 x 13.0", "new piece distance from the build centre, studs": 6.85, "build centre of mass outside the first piece footprint, mm": 12.7, "pieces in the build after": 15}, "where": {"joins the": "blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.96, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.71, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.58, "new piece": "Brick  1 x  2"}}}, {"name": "3005", "aimed": false, "p": 0.15, "T": [[-0.0, 1.0, 0.0, -4.0], [-1.0, -0.0, 0.0, -8.0], [0.0, 0.0, 1.0, -32.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  1 is stacked (studs into its underside) to a existing Plate  1 x  6. The new piece stands upright. It sits underneath the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.17, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 1.87}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.14}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.28, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.92}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.41}, "the whole build": {"build height after, mm": 81.6, "build footprint after, studs": "8.0 x 13.0", "new piece distance from the build centre, studs": 5.33, "build centre of mass outside the first piece footprint, mm": 10.2, "pieces in the build after": 15}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.07, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.19, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.55, "new piece": "Brick  1 x  1"}}}, {"name": "3023", "aimed": false, "p": 0.065, "T": [[-1.0, -0.0, 0.0, 8.0], [0.0, -1.0, 0.0, 24.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x2 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 2.73}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.38}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.28, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.38}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.281}, "the whole build": {"build height after, mm": 78.4, "build footprint after, studs": "8.0 x 13.0", "new piece distance from the build centre, studs": 2.03, "build centre of mass outside the first piece footprint, mm": 11.0, "pieces in the build after": 15}, "where": {"joins the": "green Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.48, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.36, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.06, "new piece": "Plate 1x2"}}}, {"name": "3700", "aimed": false, "p": 0.01, "T": [[1.0, 0.0, 0.0, 0.0], [0.0, 1.0, 0.0, -16.0], [0.0, 0.0, 1.0, -32.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x2 with hole is stacked (studs into its underside) to a existing Plate  1 x  6. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 2.92}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.67}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 2, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.18, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.695}, "the whole build": {"build height after, mm": 81.6, "build footprint after, studs": "8.0 x 13.0", "new piece distance from the build centre, studs": 6.12, "build centre of mass outside the first piece footprint, mm": 9.3, "pieces in the build after": 15}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.04, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.21, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.76, "new piece": "Technic Brick 1x2 with hole"}}}]}
{"turn": 14, "might_be": "a lantern-lit moonlit bridge leaving a dark hill", "next": "A small orange round piece tucked under the front pale blue arch near the bottom, a low lantern starting the row by the water.", "want_piece": "round", "want_on": "medium blue", "taste": "a row of warm lamps climbing a dark stair toward the moon", "pick": 7, "candidates": [{"name": "4589", "aimed": true, "p": 0.215, "T": [[0.0, -1.0, 0.0, -4.0], [1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, -32.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Cone  1 x  1 is stacked (studs into its underside) to a existing Plate  1 x  6. The new piece stands upright. It sits underneath the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.17, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 1.75}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.1}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.28, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.92}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.189}, "the whole build": {"build height after, mm": 91.2, "build footprint after, studs": "8.0 x 13.0", "new piece distance from the build centre, studs": 5.73, "build centre of mass outside the first piece footprint, mm": 11.7, "pieces in the build after": 16}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.02, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.11, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.39, "new piece": "Cone  1 x  1"}}}, {"name": "3062b", "aimed": true, "p": 0.06, "T": [[-1.0, -0.0, 0.0, 4.0], [0.0, -1.0, 0.0, 8.0], [0.0, 0.0, 1.0, 38.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  1 Round with Hollow Stud is stacked (studs into its underside) to a existing Arch  1 x  4. The new piece stands upright. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 2.06}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.11}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.38, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.88}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.22}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "8.0 x 13.0", "new piece distance from the build centre, studs": 4.0, "build centre of mass outside the first piece footprint, mm": 11.8, "pieces in the build after": 16}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.84, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.12, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.33, "new piece": "Brick  1 x  1 Round with Hollow Stud"}}}, {"name": "4740", "aimed": true, "p": 0.045, "T": [[-1.0, -0.0, 0.0, -4.0], [0.0, -1.0, 0.0, 16.0], [0.0, 0.0, 1.0, -32.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Dish  2 x  2 Inverted is stacked (studs into its underside) to a existing Plate  1 x  6. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 62% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.83, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 3.57}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 4.0, "past the grey side, mm": 4.0, "share of red footprint not over the grey": 0.62}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.5, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.65}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.5 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.2, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.206}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "8.0 x 13.0", "new piece distance from the build centre, studs": 4.88, "build centre of mass outside the first piece footprint, mm": 12.0, "pieces in the build after": 16}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.06, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.07, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.07, "new piece": "Dish  2 x  2 Inverted"}}}, {"name": "4589", "aimed": true, "p": 0.045, "T": [[-1.0, -0.0, 0.0, -4.0], [0.0, -1.0, 0.0, 0.0], [0.0, 0.0, 1.0, -19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Cone  1 x  1 is stacked (studs into its underside) to a existing Plate  1 x  6. The new piece stands upright. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.17, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 1.7}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.1}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.28, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.92}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.189}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "8.0 x 13.0", "new piece distance from the build centre, studs": 4.27, "build centre of mass outside the first piece footprint, mm": 11.7, "pieces in the build after": 16}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.16, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.11, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.39, "new piece": "Cone  1 x  1"}}}, {"name": "3062b", "aimed": true, "p": 0.135, "T": [[0.0, -1.0, 0.0, -4.0], [1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  1 Round with Hollow Stud is stacked (studs into its underside) to a existing Arch  1 x  4. The new piece stands upright. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 2.06}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.11}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.38, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.88}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.22}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "8.0 x 13.0", "new piece distance from the build centre, studs": 2.05, "build centre of mass outside the first piece footprint, mm": 11.6, "pieces in the build after": 16}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.51, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.11, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.39, "new piece": "Brick  1 x  1 Round with Hollow Stud"}}}, {"name": "3024", "aimed": false, "p": 0.12, "T": [[1.0, 0.0, 0.0, 4.0], [0.0, 1.0, 0.0, 48.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x1 is stacked (studs into its underside) to a existing Arch  1 x  4. It sits underneath the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 2.34}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.21}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.52, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.62}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.145}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "8.0 x 13.0", "new piece distance from the build centre, studs": 4.12, "build centre of mass outside the first piece footprint, mm": 12.3, "pieces in the build after": 16}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.54, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.55, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.47, "new piece": "Plate 1x1"}}}, {"name": "3700", "aimed": false, "p": 0.005, "T": [[-0.0, 1.0, 0.0, -36.0], [-1.0, -0.0, 0.0, -4.0], [0.0, 0.0, 1.0, -38.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x2 with hole is stacked (studs into its underside) to a existing Brick 1x4. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is in the middle. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 2.62}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.25}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 2, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.24, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.62}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.469}, "the whole build": {"build height after, mm": 97.6, "build footprint after, studs": "8.0 x 13.0", "new piece distance from the build centre, studs": 7.53, "build centre of mass outside the first piece footprint, mm": 11.0, "pieces in the build after": 16}, "where": {"joins the": "yellow Brick 1x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.03, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.71, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.07, "new piece": "Technic Brick 1x2 with hole"}}}, {"name": "4032a", "aimed": false, "p": 0.375, "T": [[0.0, -1.0, 0.0, 16.0], [1.0, 0.0, 0.0, 4.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  2 x  2 Round with Axlehole is stacked (studs into its underside) to a existing Arch  1 x  4. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 3.25}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.63}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.27, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.36}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "9.0 x 13.0", "new piece distance from the build centre, studs": 3.6, "build centre of mass outside the first piece footprint, mm": 11.6, "pieces in the build after": 16}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.32, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.28, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.56, "new piece": "Plate  2 x  2 Round with Axlehole"}}}]}
{"turn": 15, "might_be": "a lantern-lit moonlit bridge over a lily pond", "next": "A small orange round piece set on the green lily pad, low by the water, a lantern whose glow starts the row upward.", "want_piece": "round", "want_on": "green", "taste": "a lily pad holding a small warm light under a climbing bridge", "pick": 0, "candidates": [{"name": "6141", "aimed": true, "p": 0.405, "T": [[0.0, -1.0, 0.0, 12.0], [1.0, 0.0, 0.0, 8.0], [0.0, 0.0, 1.0, -6.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round is stacked (studs into its underside) to a existing Plate  2 x  2 Round with Axlehole. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 1.31}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.15}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.42, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.235}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "9.0 x 13.0", "new piece distance from the build centre, studs": 2.61, "build centre of mass outside the first piece footprint, mm": 11.5, "pieces in the build after": 17}, "where": {"joins the": "green Plate  2 x  2 Round with Axlehole", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.35, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.26, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.43, "new piece": "Plate  1 x  1 Round"}}}, {"name": "4589", "aimed": true, "p": 0.1, "T": [[1.0, 0.0, 0.0, 20.0], [0.0, 1.0, 0.0, -0.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Cone  1 x  1 is stacked (studs into its underside) to a existing Plate  2 x  2 Round with Axlehole. The new piece stands upright. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 1.81}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.24}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.32, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.432}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "9.0 x 13.0", "new piece distance from the build centre, studs": 3.71, "build centre of mass outside the first piece footprint, mm": 11.3, "pieces in the build after": 17}, "where": {"joins the": "green Plate  2 x  2 Round with Axlehole", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.38, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.31, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.69, "new piece": "Cone  1 x  1"}}}, {"name": "3062b", "aimed": true, "p": 0.155, "T": [[-1.0, -0.0, 0.0, 20.0], [0.0, -1.0, 0.0, 8.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  1 Round with Hollow Stud is stacked (studs into its underside) to a existing Plate  2 x  2 Round with Axlehole. The new piece stands upright. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 1.81}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.27}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.28, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.61}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "9.0 x 13.0", "new piece distance from the build centre, studs": 3.2, "build centre of mass outside the first piece footprint, mm": 11.4, "pieces in the build after": 17}, "where": {"joins the": "green Plate  2 x  2 Round with Axlehole", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.4, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.4, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.53, "new piece": "Brick  1 x  1 Round with Hollow Stud"}}}, {"name": "6141", "aimed": true, "p": 0.28, "T": [[-1.0, -0.0, 0.0, 20.0], [0.0, -1.0, 0.0, 8.0], [0.0, 0.0, 1.0, -6.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round is stacked (studs into its underside) to a existing Plate  2 x  2 Round with Axlehole. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 1.31}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.15}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.42, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.235}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "9.0 x 13.0", "new piece distance from the build centre, studs": 3.41, "build centre of mass outside the first piece footprint, mm": 11.5, "pieces in the build after": 17}, "where": {"joins the": "green Plate  2 x  2 Round with Axlehole", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.35, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.4, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.53, "new piece": "Plate  1 x  1 Round"}}}, {"name": "4589", "aimed": true, "p": 0.04, "T": [[0.0, -1.0, 0.0, 4.0], [1.0, 0.0, 0.0, 24.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Cone  1 x  1 is stacked (studs into its underside) to a existing Arch  1 x  4. The new piece stands upright. It sits underneath the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 2.69}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.28}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.4, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.62}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.156}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "9.0 x 13.0", "new piece distance from the build centre, studs": 1.85, "build centre of mass outside the first piece footprint, mm": 11.7, "pieces in the build after": 17}, "where": {"joins the": "green Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.38, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.29, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.01, "new piece": "Cone  1 x  1"}}}, {"name": "3010", "aimed": false, "p": 0.01, "T": [[1.0, 0.0, 0.0, -8.0], [0.0, 1.0, 0.0, 24.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick 1x4 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 1.5, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 4.46}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 24.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 2.6, "centre of mass offset from the grey centre, studs": 1.17}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 4.0 x 2.6", "how full that box is (1 = solid)": 0.16, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.12}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.819}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "9.0 x 13.0", "new piece distance from the build centre, studs": 1.49, "build centre of mass outside the first piece footprint, mm": 12.3, "pieces in the build after": 17}, "where": {"joins the": "green Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.41, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.08, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.14, "new piece": "Brick 1x4"}}}, {"name": "3702", "aimed": false, "p": 0.005, "T": [[0.0, -1.0, 0.0, -12.0], [1.0, 0.0, 0.0, 36.0], [0.0, 0.0, 1.0, -19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x8 with holes is stacked (studs into its underside) to a existing Arch  1 x  4. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 48 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 4.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 2.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 8.24}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 48.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 6.9, "centre of mass offset from the grey centre, studs": 2.87}, "openness": {"free studs on the pair": 10, "free hole ends on the pair": 14, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "10.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.39, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.492}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "9.0 x 13.0", "new piece distance from the build centre, studs": 4.43, "build centre of mass outside the first piece footprint, mm": 14.7, "pieces in the build after": 17}, "where": {"joins the": "purple Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.18, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.14, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.43, "new piece": "Technic Brick 1x8 with holes"}}}, {"name": "3894", "aimed": false, "p": 0.005, "T": [[-0.0, 1.0, 0.0, -12.0], [-1.0, -0.0, 0.0, -4.0], [0.0, 0.0, 1.0, 12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x6 with holes is stacked (studs into its underside) to a existing Plate 1x2. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 32 mm past the edge of the existing piece; 67% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 4.24}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 24.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.67}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.86}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 10, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.53, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.182}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "9.0 x 13.0", "new piece distance from the build centre, studs": 2.74, "build centre of mass outside the first piece footprint, mm": 9.3, "pieces in the build after": 17}, "where": {"joins the": "dark pink Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.54, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.29, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.37, "new piece": "Technic Brick 1x6 with holes"}}}]}
{"turn": 16, "might_be": "a lantern-lit moonlit bridge over a lily pond", "next": "A small orange round piece on the green lily pad, low by the water, a lantern that starts the warm row upward.", "want_piece": "round", "want_on": "green", "taste": "a warm glow sitting low on dark water under a climbing bridge", "pick": 2, "candidates": [{"name": "6141", "aimed": true, "p": 0.045, "T": [[-1.0, -0.0, 0.0, 4.0], [0.0, -1.0, 0.0, 8.0], [0.0, 0.0, 1.0, 12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round is stacked (studs into its underside) to a existing Arch  1 x  4. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 1.36}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.05}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.5, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.88}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.085}, "the whole build": {"build height after, mm": 81.6, "build footprint after, studs": "7.0 x 13.0", "new piece distance from the build centre, studs": 1.4, "build centre of mass outside the first piece footprint, mm": 13.6, "pieces in the build after": 17}, "where": {"joins the": "green Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.54, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.02, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.33, "new piece": "Plate  1 x  1 Round"}}}, {"name": "4589", "aimed": true, "p": 0.035, "T": [[0.0, -1.0, 0.0, 12.0], [1.0, 0.0, 0.0, 8.0], [0.0, 0.0, 1.0, 3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Cone  1 x  1 is stacked (studs into its underside) to a existing Plate  1 x  1 Round. The new piece stands upright. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 4 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 1.53}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.0}, "openness": {"free studs on the pair": 1, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "1.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.59, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 1.0}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.543}, "the whole build": {"build height after, mm": 81.6, "build footprint after, studs": "7.0 x 13.0", "new piece distance from the build centre, studs": 2.15, "build centre of mass outside the first piece footprint, mm": 13.6, "pieces in the build after": 17}, "where": {"joins the": "green Plate  1 x  1 Round", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.37, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.14, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.43, "new piece": "Cone  1 x  1"}}}, {"name": "6141", "aimed": true, "p": 0.335, "T": [[0.0, -1.0, 0.0, 12.0], [1.0, 0.0, 0.0, 8.0], [0.0, 0.0, 1.0, -3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round is stacked (studs into its underside) to a existing Plate  1 x  1 Round. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 4 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 0.76}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.0}, "openness": {"free studs on the pair": 1, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "1.0 x 1.0 x 1.0", "how full that box is (1 = solid)": 0.45, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 1.0}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 81.6, "build footprint after, studs": "7.0 x 13.0", "new piece distance from the build centre, studs": 2.3, "build centre of mass outside the first piece footprint, mm": 13.6, "pieces in the build after": 17}, "where": {"joins the": "green Plate  1 x  1 Round", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.34, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.14, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.43, "new piece": "Plate  1 x  1 Round"}}}, {"name": "6141", "aimed": true, "p": 0.185, "T": [[-1.0, -0.0, 0.0, 4.0], [0.0, -1.0, 0.0, 24.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round is stacked (studs into its underside) to a existing Arch  1 x  4. It sits underneath the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 2.2}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.16}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.5, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.62}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.085}, "the whole build": {"build height after, mm": 81.6, "build footprint after, studs": "7.0 x 13.0", "new piece distance from the build centre, studs": 1.41, "build centre of mass outside the first piece footprint, mm": 13.8, "pieces in the build after": 17}, "where": {"joins the": "green Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.38, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.18, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.01, "new piece": "Plate  1 x  1 Round"}}}, {"name": "6141", "aimed": true, "p": 0.125, "T": [[0.0, -1.0, 0.0, 4.0], [1.0, 0.0, 0.0, 24.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round is stacked (studs into its underside) to a existing Arch  1 x  4. It sits underneath the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 2.2}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.16}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.5, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.62}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.085}, "the whole build": {"build height after, mm": 81.6, "build footprint after, studs": "7.0 x 13.0", "new piece distance from the build centre, studs": 1.41, "build centre of mass outside the first piece footprint, mm": 13.8, "pieces in the build after": 17}, "where": {"joins the": "green Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.38, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.18, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.01, "new piece": "Plate  1 x  1 Round"}}}, {"name": "3010", "aimed": false, "p": 0.005, "T": [[0.0, -1.0, 0.0, -28.0], [1.0, 0.0, 0.0, -4.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick 1x4 is stacked (studs into its underside) to a existing Slope Brick 33  3 x  2 Inverted with Ribs between Studs. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 8 mm past the edge of the existing piece; 25% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.33, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 3.18}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.25}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 3, "touching area, square studs": 3.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.25}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 3}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.4, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.67}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.862}, "the whole build": {"build height after, mm": 81.6, "build footprint after, studs": "7.0 x 13.0", "new piece distance from the build centre, studs": 4.42, "build centre of mass outside the first piece footprint, mm": 11.9, "pieces in the build after": 17}, "where": {"joins the": "purple Slope Brick 33  3 x  2 Inverted with Ribs between Studs", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.37, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.82, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.17, "new piece": "Brick 1x4"}}}, {"name": "3062b", "aimed": false, "p": 0.015, "T": [[-1.0, -0.0, 0.0, 4.0], [0.0, -1.0, 0.0, 8.0], [0.0, 0.0, 1.0, 38.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  1 Round with Hollow Stud is stacked (studs into its underside) to a existing Arch  1 x  4. The new piece stands upright. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 2.06}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.11}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.38, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.88}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.22}, "the whole build": {"build height after, mm": 81.6, "build footprint after, studs": "7.0 x 13.0", "new piece distance from the build centre, studs": 3.85, "build centre of mass outside the first piece footprint, mm": 13.5, "pieces in the build after": 17}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.83, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.02, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.33, "new piece": "Brick  1 x  1 Round with Hollow Stud"}}}, {"name": "6141", "aimed": false, "p": 0.255, "T": [[1.0, 0.0, 0.0, -4.0], [0.0, 1.0, 0.0, -16.0], [0.0, 0.0, 1.0, -25.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round is stacked (studs into its underside) to a existing Plate  1 x  6. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 2.06}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.18}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.0 x 1.0", "how full that box is (1 = solid)": 0.4, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.102}, "the whole build": {"build height after, mm": 81.6, "build footprint after, studs": "7.0 x 13.0", "new piece distance from the build centre, studs": 5.8, "build centre of mass outside the first piece footprint, mm": 13.4, "pieces in the build after": 17}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.07, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.49, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.71, "new piece": "Plate  1 x  1 Round"}}}]}
{"turn": 17, "might_be": "a lantern-lit moonlit bridge over a lily pond", "next": "A long pale blue plate joined to the water at the foot, reaching right under the lily pad, so the pond spreads out.", "want_piece": "plate", "want_on": "medium blue", "taste": "a row of warm lights climbing from the water toward a moon", "pick": 2, "candidates": [{"name": "3024", "aimed": true, "p": 0.01, "T": [[0.0, -1.0, 0.0, -4.0], [1.0, 0.0, 0.0, 16.0], [0.0, 0.0, 1.0, -32.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x1 is stacked (studs into its underside) to a existing Plate  1 x  6. It sits underneath the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.83, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 3.12}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.39}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.0 x 1.0", "how full that box is (1 = solid)": 0.42, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.176}, "the whole build": {"build height after, mm": 84.8, "build footprint after, studs": "7.0 x 13.0", "new piece distance from the build centre, studs": 4.75, "build centre of mass outside the first piece footprint, mm": 13.6, "pieces in the build after": 18}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.0, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.08, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.07, "new piece": "Plate 1x1"}}}, {"name": "3020", "aimed": true, "p": 0.08, "T": [[-1.0, -0.0, 0.0, 0.0], [0.0, -1.0, 0.0, -4.0], [0.0, 0.0, 1.0, -32.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x4 is stacked (studs into its underside) to a existing Plate  1 x  6. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is in the middle. It hangs 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 2.78}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 16.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.27}, "openness": {"free studs on the pair": 12, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 4.0 x 1.0", "how full that box is (1 = solid)": 0.21, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.833}, "the whole build": {"build height after, mm": 84.8, "build footprint after, studs": "7.0 x 13.0", "new piece distance from the build centre, studs": 5.4, "build centre of mass outside the first piece footprint, mm": 12.0, "pieces in the build after": 18}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.01, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.25, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.52, "new piece": "Plate 2x4"}}}, {"name": "3034", "aimed": true, "p": 0.53, "T": [[1.0, 0.0, 0.0, -24.0], [0.0, 1.0, 0.0, 4.0], [0.0, 0.0, 1.0, -32.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x8 is stacked (studs into its underside) to a existing Plate  1 x  6. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 56 mm past the edge of the existing piece; 88% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.33, "red centre across the grey, studs from its centre": 2.5, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 6.84}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 48.0, "share of red footprint not over the grey": 0.88}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 10.1, "centre of mass offset from the grey centre, studs": 1.9}, "openness": {"free studs on the pair": 20, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 6.0 x 1.0", "how full that box is (1 = solid)": 0.17, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.33}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.424}, "the whole build": {"build height after, mm": 84.8, "build footprint after, studs": "10.0 x 13.0", "new piece distance from the build centre, studs": 5.87, "build centre of mass outside the first piece footprint, mm": 11.7, "pieces in the build after": 18}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.01, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.64, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.06, "new piece": "Plate 2x8"}}}, {"name": "3023", "aimed": true, "p": 0.005, "T": [[1.0, 0.0, 0.0, -8.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, -25.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x2 is stacked (studs into its underside) to a existing Plate  1 x  6. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.17, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 1.87}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.18}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.24, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.67}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.341}, "the whole build": {"build height after, mm": 81.6, "build footprint after, studs": "7.0 x 13.0", "new piece distance from the build centre, studs": 4.57, "build centre of mass outside the first piece footprint, mm": 13.2, "pieces in the build after": 18}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.07, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.37, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.34, "new piece": "Plate 1x2"}}}, {"name": "3710", "aimed": true, "p": 0.105, "T": [[-0.0, 1.0, 0.0, -4.0], [-1.0, -0.0, 0.0, -12.0], [0.0, 0.0, 1.0, -32.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x4 is stacked (studs into its underside) to a existing Plate  1 x  6. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.33, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 3.12}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 4, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.4}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.0 x 1.0", "how full that box is (1 = solid)": 0.6, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.83}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.67}, "the whole build": {"build height after, mm": 84.8, "build footprint after, studs": "7.0 x 13.0", "new piece distance from the build centre, studs": 5.97, "build centre of mass outside the first piece footprint, mm": 12.3, "pieces in the build after": 18}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.01, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.44, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.63, "new piece": "Plate 1x4"}}}, {"name": "3665a", "aimed": false, "p": 0.0, "T": [[0.0, -1.0, 0.0, -4.0], [1.0, 0.0, 0.0, 40.0], [0.0, 0.0, 1.0, 38.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  1 Inverted without Inner Stopper Ring is stacked (studs into its underside) to a existing Brick  1 x  2. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 4 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 2.2}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.11}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.65, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 1.0}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.742}, "the whole build": {"build height after, mm": 81.6, "build footprint after, studs": "7.0 x 13.0", "new piece distance from the build centre, studs": 4.93, "build centre of mass outside the first piece footprint, mm": 14.6, "pieces in the build after": 18}, "where": {"joins the": "orange Brick  1 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.85, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.33, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.33, "new piece": "Slope Brick 45  2 x  1 Inverted without Inner Stopper Ring"}}}, {"name": "3020", "aimed": false, "p": 0.265, "T": [[-0.0, 1.0, 0.0, 0.0], [-1.0, -0.0, 0.0, -4.0], [0.0, 0.0, 1.0, -32.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x4 is stacked (studs into its underside) to a existing Plate  1 x  6. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is in the middle. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 2.6}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 4, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.27}, "openness": {"free studs on the pair": 10, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.42, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.833}, "the whole build": {"build height after, mm": 84.8, "build footprint after, studs": "7.0 x 13.0", "new piece distance from the build centre, studs": 5.4, "build centre of mass outside the first piece footprint, mm": 12.0, "pieces in the build after": 18}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.01, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.25, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.52, "new piece": "Plate 2x4"}}}, {"name": "3023", "aimed": false, "p": 0.005, "T": [[-0.0, 1.0, 0.0, -28.0], [-1.0, -0.0, 0.0, -12.0], [0.0, 0.0, 1.0, -6.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x2 is stacked (studs into its underside) to a existing Slope Brick 33  3 x  2 Inverted with Ribs between Studs. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 2.84}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.13}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.4, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.33}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.267}, "the whole build": {"build height after, mm": 81.6, "build footprint after, studs": "7.0 x 13.0", "new piece distance from the build centre, studs": 5.22, "build centre of mass outside the first piece footprint, mm": 13.0, "pieces in the build after": 18}, "where": {"joins the": "purple Slope Brick 33  3 x  2 Inverted with Ribs between Studs", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.31, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.92, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.33, "new piece": "Plate 1x2"}}}]}
{"turn": 18, "might_be": "a lantern-lit moonlit bridge over a lily pond", "next": "A long dark blue plate joined under the pale blue water at the foot, reaching right past the lily pad, so the pond spreads darkly.", "want_piece": "plate", "want_on": "medium blue", "taste": "a row of small warm lights climbing through dark arches toward the moon", "pick": 2, "candidates": [{"name": "3024", "aimed": true, "p": 0.01, "T": [[1.0, 0.0, 0.0, -4.0], [0.0, 1.0, 0.0, -24.0], [0.0, 0.0, 1.0, -25.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x1 is stacked (studs into its underside) to a existing Plate  1 x  6. It sits on top of the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.83, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 3.08}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.39}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.0 x 1.0", "how full that box is (1 = solid)": 0.42, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.176}, "the whole build": {"build height after, mm": 84.8, "build footprint after, studs": "10.0 x 13.0", "new piece distance from the build centre, studs": 6.15, "build centre of mass outside the first piece footprint, mm": 11.3, "pieces in the build after": 19}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.11, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.33, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.87, "new piece": "Plate 1x1"}}}, {"name": "3023", "aimed": true, "p": 0.11, "T": [[-1.0, -0.0, 0.0, -8.0], [0.0, -1.0, 0.0, -24.0], [0.0, 0.0, 1.0, -32.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x2 is stacked (studs into its underside) to a existing Plate  1 x  6. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.83, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 3.43}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.66}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.24, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.33}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.341}, "the whole build": {"build height after, mm": 84.8, "build footprint after, studs": "10.0 x 13.0", "new piece distance from the build centre, studs": 6.73, "build centre of mass outside the first piece footprint, mm": 10.9, "pieces in the build after": 19}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.03, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.4, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.82, "new piece": "Plate 1x2"}}}, {"name": "3034", "aimed": true, "p": 0.62, "T": [[0.0, -1.0, 0.0, 0.0], [1.0, 0.0, 0.0, 28.0], [0.0, 0.0, 1.0, -25.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x8 is stacked (studs into its underside) to a existing Plate  1 x  6. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 40 mm past the edge of the existing piece; 81% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 4.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.33, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 8.15}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 40.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.81}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 3, "touching area, square studs": 3.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 2.84}, "openness": {"free studs on the pair": 19, "free hole ends on the pair": 0, "connectors the join covered up": 3}, "shape": {"pair bounding box, studs (long x short x tall)": "11.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.36, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.424}, "the whole build": {"build height after, mm": 84.8, "build footprint after, studs": "10.0 x 13.0", "new piece distance from the build centre, studs": 4.05, "build centre of mass outside the first piece footprint, mm": 13.2, "pieces in the build after": 19}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.11, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.29, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.12, "new piece": "Plate 2x8"}}}, {"name": "3024", "aimed": true, "p": 0.105, "T": [[-0.0, 1.0, 0.0, -4.0], [-1.0, -0.0, 0.0, 16.0], [0.0, 0.0, 1.0, -32.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x1 is stacked (studs into its underside) to a existing Plate  1 x  6. It sits underneath the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.83, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 3.12}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.39}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.0 x 1.0", "how full that box is (1 = solid)": 0.42, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.176}, "the whole build": {"build height after, mm": 84.8, "build footprint after, studs": "10.0 x 13.0", "new piece distance from the build centre, studs": 4.47, "build centre of mass outside the first piece footprint, mm": 11.7, "pieces in the build after": 19}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.04, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.09, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.07, "new piece": "Plate 1x1"}}}, {"name": "2420", "aimed": true, "p": 0.015, "T": [[-0.0, 1.0, 0.0, 4.0], [-1.0, -0.0, 0.0, 8.0], [0.0, 0.0, 1.0, 32.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  2 x  2 Corner is stacked (studs into its underside) to a existing Arch  1 x  4. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 2.25}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.28}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.33, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.417}, "the whole build": {"build height after, mm": 84.8, "build footprint after, studs": "10.0 x 13.0", "new piece distance from the build centre, studs": 3.81, "build centre of mass outside the first piece footprint, mm": 11.4, "pieces in the build after": 19}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.78, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.16, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.42, "new piece": "Plate  2 x  2 Corner"}}}, {"name": "4740", "aimed": false, "p": 0.06, "T": [[0.0, -1.0, 0.0, -4.0], [1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, -35.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Dish  2 x  2 Inverted is stacked (studs into its underside) to a existing Plate 2x8. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 4 mm past the edge of the existing piece; 25% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.62, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 3.6}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 4.0, "share of red footprint not over the grey": 0.25}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 3.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.33}, "openness": {"free studs on the pair": 16, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 2.5 x 1.0", "how full that box is (1 = solid)": 0.31, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.52}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.087}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "10.0 x 13.0", "new piece distance from the build centre, studs": 5.37, "build centre of mass outside the first piece footprint, mm": 11.4, "pieces in the build after": 19}, "where": {"joins the": "blue Plate 2x8", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.01, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.08, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.39, "new piece": "Dish  2 x  2 Inverted"}}}, {"name": "3062b", "aimed": false, "p": 0.06, "T": [[1.0, 0.0, 0.0, 4.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, -35.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  1 Round with Hollow Stud is stacked (studs into its underside) to a existing Plate 2x8. The new piece stands upright. It sits underneath the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 3.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.88, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 4.22}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.39}, "openness": {"free studs on the pair": 16, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.22, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.4}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.113}, "the whole build": {"build height after, mm": 94.4, "build footprint after, studs": "10.0 x 13.0", "new piece distance from the build centre, studs": 5.59, "build centre of mass outside the first piece footprint, mm": 11.5, "pieces in the build after": 19}, "where": {"joins the": "blue Plate 2x8", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.03, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.06, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.49, "new piece": "Brick  1 x  1 Round with Hollow Stud"}}}, {"name": "3062b", "aimed": false, "p": 0.02, "T": [[0.0, -1.0, 0.0, -4.0], [1.0, 0.0, 0.0, 16.0], [0.0, 0.0, 1.0, -32.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  1 Round with Hollow Stud is stacked (studs into its underside) to a existing Plate  1 x  6. The new piece stands upright. It sits underneath the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.83, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 3.26}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.57}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.25, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.266}, "the whole build": {"build height after, mm": 91.2, "build footprint after, studs": "10.0 x 13.0", "new piece distance from the build centre, studs": 4.82, "build centre of mass outside the first piece footprint, mm": 11.7, "pieces in the build after": 19}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.0, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.09, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.07, "new piece": "Brick  1 x  1 Round with Hollow Stud"}}}]}
{"turn": 19, "might_be": "a lantern-lit moonlit bridge over a lily pond", "next": "A small dark blue plate tucked in low beside the lily pad on the right, deepening the dark water under the lanterns.", "want_piece": "plate", "want_on": "blue", "taste": "a few small warm lights climbing through dark blue toward a moon", "pick": 2, "candidates": [{"name": "3020", "aimed": true, "p": 0.245, "T": [[1.0, 0.0, 0.0, -40.0], [0.0, 1.0, 0.0, 4.0], [0.0, 0.0, 1.0, -35.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x4 is stacked (studs into its underside) to a existing Plate 2x8. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 4.18}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 8, "touching area, square studs": 8.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.67}, "openness": {"free studs on the pair": 16, "free hole ends on the pair": 0, "connectors the join covered up": 8}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.54, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.508}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "10.0 x 13.0", "new piece distance from the build centre, studs": 6.95, "build centre of mass outside the first piece footprint, mm": 12.5, "pieces in the build after": 20}, "where": {"joins the": "blue Plate 2x8", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.01, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.64, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.14, "new piece": "Plate 2x4"}}}, {"name": "3710", "aimed": true, "p": 0.06, "T": [[1.0, 0.0, 0.0, -40.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, -28.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x4 is stacked (studs into its underside) to a existing Plate 2x8. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 4.15}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 4, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.45}, "openness": {"free studs on the pair": 16, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.45, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.284}, "the whole build": {"build height after, mm": 84.8, "build footprint after, studs": "10.0 x 13.0", "new piece distance from the build centre, studs": 6.57, "build centre of mass outside the first piece footprint, mm": 12.7, "pieces in the build after": 20}, "where": {"joins the": "blue Plate 2x8", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.07, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.69, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.06, "new piece": "Plate 1x4"}}}, {"name": "3024", "aimed": true, "p": 0.5, "T": [[1.0, 0.0, 0.0, -12.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, -35.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x1 is stacked (studs into its underside) to a existing Plate 2x8. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.38, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 2.34}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.11}, "openness": {"free studs on the pair": 16, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.38, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.65}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.074}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "10.0 x 13.0", "new piece distance from the build centre, studs": 5.26, "build centre of mass outside the first piece footprint, mm": 13.1, "pieces in the build after": 20}, "where": {"joins the": "blue Plate 2x8", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.0, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.21, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.29, "new piece": "Plate 1x1"}}}, {"name": "3034", "aimed": true, "p": 0.035, "T": [[-0.0, 1.0, 0.0, -40.0], [-1.0, -0.0, 0.0, 4.0], [0.0, 0.0, 1.0, -35.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x8 is stacked (studs into its underside) to a existing Plate 2x8. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 48 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 5.05}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 24.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 4, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.0}, "openness": {"free studs on the pair": 28, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 8.0 x 1.0", "how full that box is (1 = solid)": 0.18, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "10.0 x 13.0", "new piece distance from the build centre, studs": 6.96, "build centre of mass outside the first piece footprint, mm": 11.8, "pieces in the build after": 20}, "where": {"joins the": "blue Plate 2x8", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.01, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.64, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.14, "new piece": "Plate 2x8"}}}, {"name": "3666", "aimed": true, "p": 0.07, "T": [[-1.0, -0.0, 0.0, -16.0], [0.0, -1.0, 0.0, 8.0], [0.0, 0.0, 1.0, -35.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  6 is stacked (studs into its underside) to a existing Plate 2x8. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 4.18}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 6, "touching area, square studs": 6.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.33}, "openness": {"free studs on the pair": 16, "free hole ends on the pair": 0, "connectors the join covered up": 6}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.5, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.71}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.424}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "10.0 x 13.0", "new piece distance from the build centre, studs": 5.19, "build centre of mass outside the first piece footprint, mm": 12.8, "pieces in the build after": 20}, "where": {"joins the": "blue Plate 2x8", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.01, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.2, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.08, "new piece": "Plate  1 x  6"}}}, {"name": "3005", "aimed": false, "p": 0.02, "T": [[0.0, -1.0, 0.0, -4.0], [1.0, 0.0, 0.0, -16.0], [0.0, 0.0, 1.0, -32.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  1 is stacked (studs into its underside) to a existing Plate  1 x  6. The new piece stands upright. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 2.55}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.41}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.28, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.41}, "the whole build": {"build height after, mm": 91.2, "build footprint after, studs": "10.0 x 13.0", "new piece distance from the build centre, studs": 5.96, "build centre of mass outside the first piece footprint, mm": 12.6, "pieces in the build after": 20}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.02, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.25, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.71, "new piece": "Brick  1 x  1"}}}, {"name": "3010", "aimed": false, "p": 0.025, "T": [[0.0, -1.0, 0.0, -4.0], [1.0, 0.0, 0.0, 36.0], [0.0, 0.0, 1.0, -16.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick 1x4 is stacked (studs into its underside) to a existing Plate 2x8. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 3.42}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 4, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.41}, "openness": {"free studs on the pair": 16, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.32, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.71}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.627}, "the whole build": {"build height after, mm": 84.8, "build footprint after, studs": "10.0 x 13.0", "new piece distance from the build centre, studs": 3.56, "build centre of mass outside the first piece footprint, mm": 14.5, "pieces in the build after": 20}, "where": {"joins the": "dark blue Plate 2x8", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.2, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.3, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.33, "new piece": "Brick 1x4"}}}, {"name": "3747b", "aimed": false, "p": 0.045, "T": [[0.0, -1.0, 0.0, -52.0], [1.0, 0.0, 0.0, 4.0], [0.0, 0.0, 1.0, -35.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 33  3 x  2 Inverted with Ribs between Studs is stacked (studs into its underside) to a existing Plate 2x8. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.62, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 4.39}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 6, "touching area, square studs": 6.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.98}, "openness": {"free studs on the pair": 16, "free hole ends on the pair": 0, "connectors the join covered up": 6}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.38, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.69}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.966}, "the whole build": {"build height after, mm": 94.4, "build footprint after, studs": "10.0 x 13.0", "new piece distance from the build centre, studs": 7.3, "build centre of mass outside the first piece footprint, mm": 12.1, "pieces in the build after": 20}, "where": {"joins the": "blue Plate 2x8", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.02, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.69, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.17, "new piece": "Slope Brick 33  3 x  2 Inverted with Ribs between Studs"}}}]}
{"turn": 20, "might_be": "a lantern-lit moonlit bridge over a lily pond", "next": "A small orange round piece tucked under the high pale blue arch near the moon, a lantern linking the middle to the top.", "want_piece": "round", "want_on": "medium blue", "taste": "small warm lights stepping up a dark bridge toward the moon", "pick": 0, "candidates": [{"name": "3941", "aimed": true, "p": 0.69, "T": [[-0.0, 1.0, 0.0, 0.0], [-1.0, -0.0, 0.0, 52.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  2 Round without Reinforcement is stacked (studs into its underside) to a existing Arch  1 x  4. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 3.6}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.97}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.26, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.781}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "10.0 x 13.0", "new piece distance from the build centre, studs": 4.65, "build centre of mass outside the first piece footprint, mm": 14.8, "pieces in the build after": 21}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.5, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.54, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.6, "new piece": "Brick  2 x  2 Round without Reinforcement"}}}, {"name": "6141", "aimed": true, "p": 0.085, "T": [[-1.0, -0.0, 0.0, -4.0], [0.0, -1.0, 0.0, 16.0], [0.0, 0.0, 1.0, -32.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round is stacked (studs into its underside) to a existing Plate  1 x  6. It sits underneath the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.83, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 3.03}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.3}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.0 x 1.0", "how full that box is (1 = solid)": 0.4, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.102}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "10.0 x 13.0", "new piece distance from the build centre, studs": 4.14, "build centre of mass outside the first piece footprint, mm": 13.1, "pieces in the build after": 21}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.06, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.09, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.07, "new piece": "Plate  1 x  1 Round"}}}, {"name": "3941", "aimed": true, "p": 0.01, "T": [[-0.0, 1.0, 0.0, -8.0], [-1.0, -0.0, 0.0, -4.0], [0.0, 0.0, 1.0, -38.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  2 Round without Reinforcement is stacked (studs into its underside) to a existing Plate 1x1. It sits underneath the existing piece. It hangs 8 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 2.25}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.6}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.52, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.186}, "the whole build": {"build height after, mm": 97.6, "build footprint after, studs": "10.0 x 13.0", "new piece distance from the build centre, studs": 5.86, "build centre of mass outside the first piece footprint, mm": 12.1, "pieces in the build after": 21}, "where": {"joins the": "medium blue Plate 1x1", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.04, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.19, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.42, "new piece": "Brick  2 x  2 Round without Reinforcement"}}}, {"name": "4589", "aimed": true, "p": 0.015, "T": [[0.0, -1.0, 0.0, -4.0], [1.0, 0.0, 0.0, -24.0], [0.0, 0.0, 1.0, -32.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Cone  1 x  1 is stacked (studs into its underside) to a existing Plate  1 x  6. The new piece stands upright. It sits underneath the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.83, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 3.26}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.51}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.28, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.189}, "the whole build": {"build height after, mm": 91.2, "build footprint after, studs": "10.0 x 13.0", "new piece distance from the build centre, studs": 6.76, "build centre of mass outside the first piece footprint, mm": 12.6, "pieces in the build after": 21}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.02, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.33, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.87, "new piece": "Cone  1 x  1"}}}, {"name": "6141", "aimed": true, "p": 0.085, "T": [[0.0, -1.0, 0.0, -4.0], [1.0, 0.0, 0.0, -24.0], [0.0, 0.0, 1.0, -25.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round is stacked (studs into its underside) to a existing Plate  1 x  6. It sits on top of the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.83, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 3.04}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.3}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.0 x 1.0", "how full that box is (1 = solid)": 0.4, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.102}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "10.0 x 13.0", "new piece distance from the build centre, studs": 5.94, "build centre of mass outside the first piece footprint, mm": 12.8, "pieces in the build after": 21}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.14, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.33, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.87, "new piece": "Plate  1 x  1 Round"}}}, {"name": "6141", "aimed": false, "p": 0.06, "T": [[1.0, 0.0, 0.0, 4.0], [0.0, 1.0, 0.0, 40.0], [0.0, 0.0, 1.0, -22.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round is stacked (studs into its underside) to a existing Plate 2x8. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.38, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 2.14}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.08}, "openness": {"free studs on the pair": 16, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.37, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.65}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.043}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "10.0 x 13.0", "new piece distance from the build centre, studs": 4.32, "build centre of mass outside the first piece footprint, mm": 13.2, "pieces in the build after": 21}, "where": {"joins the": "dark blue Plate 2x8", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.17, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.48, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.31, "new piece": "Plate  1 x  1 Round"}}}, {"name": "3701", "aimed": false, "p": 0.005, "T": [[-1.0, -0.0, 0.0, 8.0], [0.0, -1.0, 0.0, 40.0], [0.0, 0.0, 1.0, -16.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x4 with holes is stacked (studs into its underside) to a existing Plate 2x8. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 16 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.38, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 3.83}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 16.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.67}, "openness": {"free studs on the pair": 18, "free hole ends on the pair": 6, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 4.0 x 1.8", "how full that box is (1 = solid)": 0.16, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.48}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.545}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "10.0 x 13.0", "new piece distance from the build centre, studs": 4.12, "build centre of mass outside the first piece footprint, mm": 14.6, "pieces in the build after": 21}, "where": {"joins the": "dark blue Plate 2x8", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.22, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.55, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.26, "new piece": "Technic Brick 1x4 with holes"}}}, {"name": "3039", "aimed": false, "p": 0.05, "T": [[0.0, -1.0, 0.0, -28.0], [1.0, 0.0, 0.0, -12.0], [0.0, 0.0, 1.0, -28.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  2 is stacked (studs into its underside) to a existing Arch  1 x  4. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 3.14}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.6}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.32, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.777}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "10.0 x 13.0", "new piece distance from the build centre, studs": 6.06, "build centre of mass outside the first piece footprint, mm": 11.7, "pieces in the build after": 21}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.07, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.57, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.37, "new piece": "Slope Brick 45  2 x  2"}}}]}
{"turn": 21, "might_be": "a lantern-lit moonlit bridge over a lily pond", "next": "A small orange round piece tucked under the top dark blue arch, between the grey drum and the moon, finishing the climb.", "want_piece": "round", "want_on": "dark blue", "taste": "a climbing row of warm lights leading up a dark bridge to the moon", "pick": 2, "candidates": [{"name": "3941", "aimed": true, "p": 0.04, "T": [[-1.0, -0.0, 0.0, -8.0], [0.0, -1.0, 0.0, 44.0], [0.0, 0.0, 1.0, -28.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  2 Round without Reinforcement is stacked (studs into its underside) to a existing Plate 2x8. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 3.57}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.65}, "openness": {"free studs on the pair": 18, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 3.0 x 1.8", "how full that box is (1 = solid)": 0.21, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.42}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.401}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "10.0 x 13.0", "new piece distance from the build centre, studs": 5.39, "build centre of mass outside the first piece footprint, mm": 15.9, "pieces in the build after": 22}, "where": {"joins the": "dark blue Plate 2x8", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.07, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.32, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.53, "new piece": "Brick  2 x  2 Round without Reinforcement"}}}, {"name": "6141", "aimed": true, "p": 0.16, "T": [[1.0, 0.0, 0.0, -4.0], [0.0, 1.0, 0.0, 8.0], [0.0, 0.0, 1.0, -22.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round is stacked (studs into its underside) to a existing Plate 2x8. It sits on top of the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.62, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 3.08}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.14}, "openness": {"free studs on the pair": 16, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.37, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.52}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.043}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "10.0 x 13.0", "new piece distance from the build centre, studs": 3.19, "build centre of mass outside the first piece footprint, mm": 14.7, "pieces in the build after": 22}, "where": {"joins the": "dark blue Plate 2x8", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.17, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.01, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.23, "new piece": "Plate  1 x  1 Round"}}}, {"name": "6141", "aimed": true, "p": 0.4, "T": [[-1.0, -0.0, 0.0, -4.0], [0.0, -1.0, 0.0, 40.0], [0.0, 0.0, 1.0, 38.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round is stacked (studs into its underside) to a existing Brick  1 x  2. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 1.42}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.08}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.53, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.134}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "10.0 x 13.0", "new piece distance from the build centre, studs": 5.46, "build centre of mass outside the first piece footprint, mm": 14.9, "pieces in the build after": 22}, "where": {"joins the": "dark blue Brick  1 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.86, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.34, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.41, "new piece": "Plate  1 x  1 Round"}}}, {"name": "4740", "aimed": true, "p": 0.015, "T": [[1.0, 0.0, 0.0, -4.0], [0.0, 1.0, 0.0, 32.0], [0.0, 0.0, 1.0, -28.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Dish  2 x  2 Inverted is stacked (studs into its underside) to a existing Plate 2x8. It sits underneath the existing piece. Along the existing piece it is in the middle. It hangs 4 mm past the edge of the existing piece; 25% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.12, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 1.85}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 4.0, "share of red footprint not over the grey": 0.25}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 3.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.09}, "openness": {"free studs on the pair": 16, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 2.5 x 1.0", "how full that box is (1 = solid)": 0.31, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.77}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.087}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "10.0 x 13.0", "new piece distance from the build centre, studs": 4.25, "build centre of mass outside the first piece footprint, mm": 15.0, "pieces in the build after": 22}, "where": {"joins the": "dark blue Plate 2x8", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.1, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.26, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.25, "new piece": "Dish  2 x  2 Inverted"}}}, {"name": "6141", "aimed": true, "p": 0.22, "T": [[1.0, 0.0, 0.0, -4.0], [0.0, 1.0, 0.0, 40.0], [0.0, 0.0, 1.0, -22.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round is stacked (studs into its underside) to a existing Plate 2x8. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.38, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 2.14}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.08}, "openness": {"free studs on the pair": 16, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.37, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.65}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.043}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "10.0 x 13.0", "new piece distance from the build centre, studs": 4.14, "build centre of mass outside the first piece footprint, mm": 14.9, "pieces in the build after": 22}, "where": {"joins the": "dark blue Plate 2x8", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.17, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.34, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.41, "new piece": "Plate  1 x  1 Round"}}}, {"name": "2420", "aimed": false, "p": 0.07, "T": [[0.0, -1.0, 0.0, 12.0], [1.0, 0.0, 0.0, -0.0], [0.0, 0.0, 1.0, 32.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  2 x  2 Corner is stacked (studs into its underside) to a existing Arch  1 x  4. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 2.66}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.43}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.33, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.417}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "10.0 x 13.0", "new piece distance from the build centre, studs": 4.48, "build centre of mass outside the first piece footprint, mm": 14.4, "pieces in the build after": 22}, "where": {"joins the": "medium blue Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.79, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.18, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.51, "new piece": "Plate  2 x  2 Corner"}}}, {"name": "41769a", "aimed": false, "p": 0.005, "T": [[0.0, -1.0, 0.0, 8.0], [1.0, 0.0, 0.0, 28.0], [0.0, 0.0, 1.0, -28.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Wing  2 x  4 Right without Chamfer is stacked (studs into its underside) to a existing Plate 2x8. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is in the middle. It hangs 16 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 3.24}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 16.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.25}, "openness": {"free studs on the pair": 18, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 4.0 x 1.0", "how full that box is (1 = solid)": 0.27, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.67}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.363}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "10.0 x 13.0", "new piece distance from the build centre, studs": 4.25, "build centre of mass outside the first piece footprint, mm": 15.2, "pieces in the build after": 22}, "where": {"joins the": "dark blue Plate 2x8", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.1, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.42, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.05, "new piece": "Wing  2 x  4 Right without Chamfer"}}}, {"name": "6141", "aimed": false, "p": 0.09, "T": [[1.0, 0.0, 0.0, -28.0], [0.0, 1.0, 0.0, 8.0], [0.0, 0.0, 1.0, -35.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round is stacked (studs into its underside) to a existing Plate 2x8. It sits underneath the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.12, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 1.31}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.04}, "openness": {"free studs on the pair": 16, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.37, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.77}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.043}, "the whole build": {"build height after, mm": 88.0, "build footprint after, studs": "10.0 x 13.0", "new piece distance from the build centre, studs": 5.75, "build centre of mass outside the first piece footprint, mm": 14.7, "pieces in the build after": 22}, "where": {"joins the": "blue Plate 2x8", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.03, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.4, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.07, "new piece": "Plate  1 x  1 Round"}}}]}