{"turn": 0, "might_be": "self portrait: a beam swinging on one pin", "next": "A small black Technic pin pushed into the middle hole of the orange beam, sticking out the front, to hang it on.", "want_piece": "small", "want_on": "orange", "taste": "one long thing deciding which way to fall, on one tiny pin", "pick": 0, "candidates": [{"name": "6141", "aimed": true, "p": 0.025, "T": [[0.0, -1.0, -0.0, -0.0], [-1.0, -0.0, -0.0, -0.073], [0.0, 0.0, -1.0, 4.0], [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 Technic Beam 7. 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": 0.01, "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": 0.0, "red centre above the grey centre, mm": 4.8, "farthest point of red from the grey centre, studs": 0.99}, "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": 0.4, "share of red footprint not over the grey": 0.1}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 0.9, "can swing on its pin": false}, "balance": {"pair height, mm": 11.2, "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": 13, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 1.0 x 1.4", "how full that box is (1 = solid)": 0.41, "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)": 0.068}, "the whole build": {"build height after, mm": 11.2, "build footprint after, studs": "1.0 x 6.9", "new piece distance from the build centre, studs": 0.61, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "orange Technic Beam 7", "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)": -0.0, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.0, "new piece": "Plate  1 x  1 Round"}}}, {"name": "85861", "aimed": true, "p": 0.06, "T": [[-1.0, -0.0, -0.0, -0.0], [-0.0, 1.0, 0.0, 7.927], [0.0, 0.0, -1.0, 4.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round with Open Stud is stacked (studs into its underside) to a existing Technic Beam 7. 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": 0.99, "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": 0.0, "red centre above the grey centre, mm": 4.8, "farthest point of red from the grey centre, studs": 1.66}, "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": 0.4, "share of red footprint not over the grey": 0.1}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 0.9, "can swing on its pin": false}, "balance": {"pair height, mm": 11.2, "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": 1, "free hole ends on the pair": 13, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 1.0 x 1.4", "how full that box is (1 = solid)": 0.4, "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": 0.0, "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)": 0.055}, "the whole build": {"build height after, mm": 11.2, "build footprint after, studs": "1.0 x 6.9", "new piece distance from the build centre, studs": 1.15, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "orange Technic Beam 7", "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)": 0.26, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.28, "new piece": "Plate  1 x  1 Round with Open Stud"}}}, {"name": "3747b", "aimed": true, "p": 0.0, "T": [[1.0, 0.0, 0.0, -4.0], [0.0, -1.0, -0.0, -23.927], [0.0, 0.0, -1.0, 4.0], [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 Technic Beam 7. 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 9 mm past the edge of the existing piece; 56% 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)": 0.58, "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": 4.16}, "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": 0.3, "past the grey side, mm": 8.4, "share of red footprint not over the grey": 0.56}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 3, "touching area, square studs": 2.66, "can swing on its pin": false}, "balance": {"pair height, mm": 17.6, "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": 0.94}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 11, "connectors the join covered up": 3}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 2.0 x 2.2", "how full that box is (1 = solid)": 0.29, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.45}}, "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)": 0.851}, "the whole build": {"build height after, mm": 17.6, "build footprint after, studs": "2.0 x 6.9", "new piece distance from the build centre, studs": 2.03, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "orange 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)": -0.68, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.43, "new piece": "Slope Brick 33  3 x  2 Inverted with Ribs between Studs"}}}, {"name": "85861", "aimed": true, "p": 0.015, "T": [[0.0, -1.0, -0.0, -0.0], [-1.0, -0.0, -0.0, 16.073], [0.0, 0.0, -1.0, 4.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round with Open Stud is stacked (studs into its underside) to a existing Technic Beam 7. 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": 2.01, "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": 0.0, "red centre above the grey centre, mm": 4.8, "farthest point of red from the grey centre, studs": 2.59}, "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": 0.4, "share of red footprint not over the grey": 0.1}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 0.9, "can swing on its pin": false}, "balance": {"pair height, mm": 11.2, "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": 1, "free hole ends on the pair": 13, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 1.0 x 1.4", "how full that box is (1 = solid)": 0.4, "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)": 0.055}, "the whole build": {"build height after, mm": 11.2, "build footprint after, studs": "1.0 x 6.9", "new piece distance from the build centre, studs": 2.09, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "orange Technic Beam 7", "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)": 0.52, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.57, "new piece": "Plate  1 x  1 Round with Open Stud"}}}]}
{"turn": 1, "might_be": "self portrait: a beam balancing on one pin", "next": "A small Technic brick with a hole, tucked under the middle of the orange beam, lifting it off the ground.", "want_piece": "brick", "want_on": "orange", "taste": "one long thing about to tip on a single small point", "pick": 0, "candidates": [{"name": "3700", "aimed": true, "p": 0.04, "T": [[1.0, 0.0, 0.0, -24.0], [0.0, 1.0, 0.0, 20.0], [0.0, 0.0, 1.0, 5.6], [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 Baseplate 16 x 16. It sits on top of the existing piece. 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": 0.5, "red centre above the grey centre, mm": 5.6, "farthest point of red from the grey centre, studs": 1.85}, "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": 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": 0.01}, "openness": {"free studs on the pair": 256, "free hole ends on the pair": 2, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "16.0 x 16.0 x 1.6", "how full that box is (1 = solid)": 0.15, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.97}}, "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)": 0.023}, "the whole build": {"build height after, mm": 11.2, "build footprint after, studs": "4.5 x 7.0", "new piece distance from the build centre, studs": 3.16, "build centre of mass outside the first piece footprint, mm": 3.1, "pieces in the build after": 3}, "where": {"joins the": "invisible Baseplate 16 x 16", "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)": -0.61, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -1.22, "new piece": "Technic Brick 1x2 with hole"}}}, {"name": "85861", "aimed": true, "p": 0.08, "T": [[-0.0, 1.0, 0.0, -0.0], [1.0, 0.0, 0.0, -0.073], [0.0, 0.0, -1.0, 4.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round with Open Stud is stacked (studs into its underside) to a existing Technic Beam 7. 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": 0.01, "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": 0.0, "red centre above the grey centre, mm": 4.8, "farthest point of red from the grey centre, studs": 0.99}, "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": 0.4, "share of red footprint not over the grey": 0.1}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 0.9, "can swing on its pin": false}, "balance": {"pair height, mm": 11.2, "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": 13, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 1.0 x 1.4", "how full that box is (1 = solid)": 0.4, "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)": 0.055}, "the whole build": {"build height after, mm": 11.2, "build footprint after, studs": "1.0 x 7.0", "new piece distance from the build centre, studs": 1.54, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 3}, "where": {"joins the": "orange Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.77, "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)": 0.01, "new piece": "Plate  1 x  1 Round with Open Stud"}}}, {"name": "3039", "aimed": true, "p": 0.005, "T": [[1.0, 0.0, 0.0, -4.0], [0.0, -1.0, -0.0, 7.927], [0.0, 0.0, -1.0, 4.0], [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 Technic Beam 7. 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. 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": 1.49, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.43, "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": 3.37}, "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": 8.4, "share of red footprint not over the grey": 0.55}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.8, "can swing on its pin": false}, "balance": {"pair height, mm": 17.6, "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": 0.51}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 12, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 2.0 x 2.2", "how full that box is (1 = solid)": 0.23, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.52}}, "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)": 0.628}, "the whole build": {"build height after, mm": 17.6, "build footprint after, studs": "2.0 x 7.0", "new piece distance from the build centre, studs": 0.82, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 3}, "where": {"joins the": "orange Technic Beam 7", "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)": 0.12, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.45, "new piece": "Slope Brick 45  2 x  2"}}}, {"name": "3020", "aimed": true, "p": 0.005, "T": [[1.0, 0.0, 0.0, -4.0], [0.0, -1.0, -0.0, 12.073], [0.0, 0.0, -1.0, 4.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x4 is stacked (studs into its underside) 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 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": 1.51, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.44, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 4.8, "farthest point of red from the grey centre, studs": 3.65}, "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": 16.4, "share of red footprint not over the grey": 0.78}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 1.8, "can swing on its pin": false}, "balance": {"pair height, mm": 11.2, "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": 0.65}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 12, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 4.0 x 1.4", "how full that box is (1 = solid)": 0.17, "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)": 0.801}, "the whole build": {"build height after, mm": 11.2, "build footprint after, studs": "4.0 x 7.0", "new piece distance from the build centre, studs": 0.57, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 3}, "where": {"joins the": "orange Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.77, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.17, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.5, "new piece": "Plate 2x4"}}}, {"name": "3700", "aimed": true, "p": 0.27, "T": [[-0.0, 0.0, -1.0, -4.073], [-1.0, -0.0, 0.0, -8.073], [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 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": 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": 0.01, "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": 1.8, "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": 0.3}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 12, "connectors the join covered up": 4}, "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)": 0.28, "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": 1.05, "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)": 0.524}, "the whole build": {"build height after, mm": 16.0, "build footprint after, studs": "1.4 x 7.0", "new piece distance from the build centre, studs": 2.61, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 3}, "where": {"joins the": "orange 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)": -0.33, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.27, "new piece": "Technic Brick 1x2 with hole"}}}, {"name": "3700", "aimed": true, "p": 0.045, "T": [[-1.0, -0.0, -0.0, 4.0], [-0.0, 1.0, 0.0, 7.927], [0.0, 0.0, -1.0, 4.0], [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 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 9 mm past the edge of the existing piece; 55% 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": 0.5, "red centre above the grey centre, mm": 8.0, "farthest point of red from the grey centre, studs": 2.71}, "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": 8.4, "share of red footprint not over the grey": 0.55}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 0.9, "can swing on its pin": false}, "balance": {"pair height, mm": 17.6, "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": 0.33}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 15, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 2.0 x 2.2", "how full that box is (1 = solid)": 0.18, "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": 0.0, "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)": 0.464}, "the whole build": {"build height after, mm": 17.6, "build footprint after, studs": "2.0 x 7.0", "new piece distance from the build centre, studs": 0.91, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 3}, "where": {"joins the": "orange Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.97, "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)": -0.18, "new piece": "Technic Brick 1x2 with hole"}}}, {"name": "3700", "aimed": true, "p": 0.03, "T": [[-0.0, 1.0, 0.0, 0.0], [1.0, 0.0, 0.0, 12.073], [0.0, 0.0, -1.0, 4.0], [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 Technic Beam 7. 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": 1.51, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.44, "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": 3.07}, "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": 0.4, "share of red footprint not over the grey": 0.1}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 1.8, "can swing on its pin": false}, "balance": {"pair height, mm": 17.6, "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": 0.44}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 14, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 1.0 x 2.2", "how full that box is (1 = solid)": 0.36, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.78}}, "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)": 0.463}, "the whole build": {"build height after, mm": 17.6, "build footprint after, studs": "1.0 x 7.0", "new piece distance from the build centre, studs": 0.55, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 3}, "where": {"joins the": "orange Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.97, "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)": -0.41, "new piece": "Technic Brick 1x2 with hole"}}}, {"name": "3700", "aimed": true, "p": 0.09, "T": [[1.0, 0.0, 0.0, -4.0], [0.0, -1.0, -0.0, 7.927], [0.0, 0.0, -1.0, 4.0], [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 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 9 mm past the edge of the existing piece; 55% 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": 0.5, "red centre above the grey centre, mm": 8.0, "farthest point of red from the grey centre, studs": 2.71}, "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": 8.4, "share of red footprint not over the grey": 0.55}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 0.9, "can swing on its pin": false}, "balance": {"pair height, mm": 17.6, "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": 0.33}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 15, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 2.0 x 2.2", "how full that box is (1 = solid)": 0.18, "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": 0.0, "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)": 0.464}, "the whole build": {"build height after, mm": 17.6, "build footprint after, studs": "2.0 x 7.0", "new piece distance from the build centre, studs": 0.91, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 3}, "where": {"joins the": "orange Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.97, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.04, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.36, "new piece": "Technic Brick 1x2 with hole"}}}]}
{"turn": 2, "might_be": "self portrait: a beam swinging on one pin", "next": "A small black Technic pin pushed into the front hole of the grey brick, sticking out toward me, ready for the beam.", "want_piece": "small", "want_on": "dark grey", "taste": "one small pin holding a long thing that wants to tip", "pick": 0, "candidates": [{"name": "85861", "aimed": true, "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, -0.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round with Open Stud is stacked (studs into its underside) to a existing Baseplate 16 x 16. It sits on top of the existing piece. 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": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.06, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 2.4, "farthest point of red from the grey centre, studs": 1.27}, "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": 6.4, "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": 0.0}, "openness": {"free studs on the pair": 256, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "16.0 x 16.0 x 0.8", "how full that box is (1 = solid)": 0.3, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.94}}, "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)": 0.003}, "the whole build": {"build height after, mm": 11.2, "build footprint after, studs": "6.0 x 7.5", "new piece distance from the build centre, studs": 5.91, "build centre of mass outside the first piece footprint, mm": 2.1, "pieces in the build after": 4}, "where": {"joins the": "invisible Baseplate 16 x 16", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.23, "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)": 1.2, "new piece": "Plate  1 x  1 Round with Open Stud"}}}, {"name": "32017", "aimed": true, "p": 0.12, "T": [[-1.0, -0.0, 0.0, -0.0], [0.0, -1.0, 0.0, 0.145], [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. 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": 0.02, "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": 2.66}, "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": 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": 0.01}, "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)": 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)": 0.329}, "the whole build": {"build height after, mm": 12.0, "build footprint after, studs": "4.5 x 7.0", "new piece distance from the build centre, studs": 2.12, "build centre of mass outside the first piece footprint, mm": 1.6, "pieces in the build after": 4}, "where": {"joins the": "orange Technic Beam 7", "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)": 0.06, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.21, "new piece": "Technic Beam 5 thin (1x5 liftarm)"}}}, {"name": "3700", "aimed": true, "p": 0.13, "T": [[-1.0, -0.0, 0.0, 0.0], [0.0, -0.0, 1.0, 20.145], [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 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 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": 2.02, "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": 0.0, "red centre above the grey centre, mm": 8.0, "farthest point of red from the grey centre, studs": 3.1}, "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": 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": 0.63}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 14, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 2.0 x 2.0", "how full that box is (1 = solid)": 0.2, "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": 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)": 0.464}, "the whole build": {"build height after, mm": 16.0, "build footprint after, studs": "5.0 x 7.0", "new piece distance from the build centre, studs": 1.25, "build centre of mass outside the first piece footprint, mm": 1.6, "pieces in the build after": 4}, "where": {"joins the": "orange 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)": 0.57, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.26, "new piece": "Technic Brick 1x2 with hole"}}}, {"name": "85861", "aimed": true, "p": 0.02, "T": [[-0.0, 1.0, 0.0, -28.0], [-1.0, -0.0, 0.0, 20.0], [0.0, 0.0, 1.0, 8.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round with Open Stud is stacked (studs into its underside) to a existing Technic Brick 1x2 with hole. 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": 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": 1.36}, "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": 0.08}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 2, "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)": 0.52, "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)": 0.119}, "the whole build": {"build height after, mm": 14.4, "build footprint after, studs": "4.5 x 7.0", "new piece distance from the build centre, studs": 2.68, "build centre of mass outside the first piece footprint, mm": 4.2, "pieces in the build after": 4}, "where": {"joins the": "dark grey Technic Brick 1x2 with hole", "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)": -0.69, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.82, "new piece": "Plate  1 x  1 Round with Open Stud"}}}]}
{"turn": 3, "might_be": "self portrait: a beam balanced on one pin", "next": "A small black Technic pin pushed into the front hole of the grey brick, sticking out toward me.", "want_piece": "small", "want_on": "dark grey", "taste": "one long thing about to balance on one tiny pin", "pick": 0, "candidates": [{"name": "3894", "aimed": true, "p": 0.01, "T": [[1.0, 0.0, 0.0, -12.0], [0.0, -1.0, -0.0, -0.073], [0.0, 0.0, -1.0, 4.0], [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 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 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": 0.01, "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": 1.5, "red centre above the grey centre, mm": 8.0, "farthest point of red from the grey centre, studs": 4.84}, "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": 32.4, "share of red footprint not over the grey": 0.85}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 0.9, "can swing on its pin": false}, "balance": {"pair height, mm": 17.6, "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)": 2.9, "centre of mass offset from the grey centre, studs": 0.82}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 23, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.9 x 6.0 x 2.2", "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": 0.0, "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)": 0.798}, "the whole build": {"build height after, mm": 17.6, "build footprint after, studs": "6.5 x 7.5", "new piece distance from the build centre, studs": 1.44, "build centre of mass outside the first piece footprint, mm": 4.8, "pieces in the build after": 5}, "where": {"joins the": "orange Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.03, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.52, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.13, "new piece": "Technic Brick 1x6 with holes"}}}, {"name": "3701", "aimed": true, "p": 0.045, "T": [[1.0, 0.0, 0.0, -8.0], [0.0, 0.0, -1.0, -4.145], [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": 0.02, "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": 1.0, "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": 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": 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": 0.45}, "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)": 0.5}}, "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": 0.383, "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": 16.0, "build footprint after, studs": "6.0 x 7.5", "new piece distance from the build centre, studs": 1.18, "build centre of mass outside the first piece footprint, mm": 2.9, "pieces in the build after": 5}, "where": {"joins the": "orange 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)": -0.35, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.05, "new piece": "Technic Brick 1x4 with holes"}}}, {"name": "3894", "aimed": true, "p": 0.04, "T": [[-0.0, 1.0, 0.0, 0.0], [1.0, 0.0, 0.0, -35.927], [0.0, 0.0, -1.0, 4.0], [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 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; 71% 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": 4.49, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.3, "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": 7.7}, "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": 32.3, "past the grey side, mm": 0.4, "share of red footprint not over the grey": 0.71}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 1.76, "can swing on its pin": false}, "balance": {"pair height, mm": 17.6, "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": 2.44}, "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)": "10.9 x 1.0 x 2.2", "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": 0.0, "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)": 0.801}, "the whole build": {"build height after, mm": 17.6, "build footprint after, studs": "6.0 x 11.0", "new piece distance from the build centre, studs": 5.06, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 5}, "where": {"joins the": "orange Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.03, "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)": 0.9, "new piece": "Technic Brick 1x6 with holes"}}}, {"name": "3701", "aimed": true, "p": 0.025, "T": [[1.0, 0.0, 0.0, -8.0], [0.0, 0.0, -1.0, -28.0], [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 at one end. It hangs 25 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": 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": 1.0, "red centre above the grey centre, mm": 8.0, "farthest point of red from the grey centre, studs": 4.85}, "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": 2.0, "past the grey side, mm": 20.4, "share of red footprint not over the grey": 0.82}, "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": 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": 1.44}, "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)": "7.2 x 4.0 x 2.0", "how full that box is (1 = solid)": 0.12, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.07}}, "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": 16.0, "build footprint after, studs": "6.0 x 7.5", "new piece distance from the build centre, studs": 3.72, "build centre of mass outside the first piece footprint, mm": 2.9, "pieces in the build after": 5}, "where": {"joins the": "orange 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)": -1.06, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.51, "new piece": "Technic Brick 1x4 with holes"}}}]}
{"turn": 4, "might_be": "self portrait: two bars crossed on one pin", "next": "A small black pin pushed into the middle front hole of the long grey brick, sticking toward me, right where the bars cross.", "want_piece": "small", "want_on": "dark grey", "taste": "two bars meeting at one point, ready to swing", "pick": 0, "candidates": [{"name": "3702", "aimed": true, "p": 0.18, "T": [[1.0, 0.0, 0.0, -12.0], [0.0, -1.0, -0.0, -8.073], [0.0, 0.0, -1.0, 4.0], [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 beside the existing piece, at the same height. Along the existing piece it is in the middle. It hangs 16 mm past the edge of the existing piece; 100% 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": 0.0, "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": 8.0, "share of red footprint not over the grey": 1.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 8.4, "can swing on its pin": true}, "balance": {"pair height, mm": 11.2, "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)": 0.6, "centre of mass offset from the grey centre, studs": 0.57}, "openness": {"free studs on the pair": 14, "free hole ends on the pair": 12, "connectors the join covered up": 12}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 2.0 x 1.4", "how full that box is (1 = solid)": 0.52, "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": 0.964, "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": 17.6, "build footprint after, studs": "8.0 x 7.5", "new piece distance from the build centre, studs": 1.78, "build centre of mass outside the first piece footprint, mm": 6.1, "pieces in the build after": 6}, "where": {"joins the": "dark grey Technic Brick 1x6 with holes", "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)": -0.26, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.06, "new piece": "Technic Brick 1x8 with holes"}}}, {"name": "3702", "aimed": true, "p": 0.045, "T": [[1.0, 0.0, 0.0, -4.0], [0.0, -1.0, -0.0, -8.073], [0.0, 0.0, -1.0, 4.0], [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 beside the existing piece, at the same height. Along the existing piece it is off-centre, toward one end. It hangs 16 mm past the edge of the existing piece; 100% of the new piece's footprint is not over the existing one. 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": 1.0, "red centre above the grey centre, mm": 0.0, "farthest point of red from the grey centre, studs": 5.27}, "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": 1.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 8.4, "can swing on its pin": true}, "balance": {"pair height, mm": 11.2, "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)": 0.6, "centre of mass offset from the grey centre, studs": 0.81}, "openness": {"free studs on the pair": 14, "free hole ends on the pair": 13, "connectors the join covered up": 11}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 2.0 x 1.4", "how full that box is (1 = solid)": 0.52, "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": 0.964, "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": 17.6, "build footprint after, studs": "8.0 x 7.5", "new piece distance from the build centre, studs": 1.54, "build centre of mass outside the first piece footprint, mm": 3.2, "pieces in the build after": 6}, "where": {"joins the": "dark grey Technic Brick 1x6 with holes", "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)": 0.01, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.18, "new piece": "Technic Brick 1x8 with holes"}}}, {"name": "3702", "aimed": true, "p": 0.02, "T": [[-1.0, -0.0, 0.0, -48.0], [0.0, -1.0, -0.0, 12.0], [0.0, -0.0, 1.0, 5.6], [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 1x2 with hole. It lies parallel to the existing piece. It sits beside the existing piece, at the same height. Along the existing piece it is at one end. It hangs 48 mm past the edge of the existing piece; 100% of the new piece's footprint is not over the existing one. 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": 3.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 3.0, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 0.0, "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": 48.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 1.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 2.8, "can swing on its pin": true}, "balance": {"pair height, mm": 11.2, "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)": 11.3, "centre of mass offset from the grey centre, studs": 2.51}, "openness": {"free studs on the pair": 10, "free hole ends on the pair": 13, "connectors the join covered up": 3}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 2.0 x 1.4", "how full that box is (1 = solid)": 0.38, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 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": 0.193, "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)": 0.281}, "the whole build": {"build height after, mm": 17.6, "build footprint after, studs": "12.0 x 7.5", "new piece distance from the build centre, studs": 5.51, "build centre of mass outside the first piece footprint, mm": 19.2, "pieces in the build after": 6}, "where": {"joins the": "dark grey Technic Brick 1x2 with hole", "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)": -1.07, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.95, "new piece": "Technic Brick 1x8 with holes"}}}, {"name": "3666", "aimed": true, "p": 0.005, "T": [[0.0, -1.0, 0.0, -20.0], [0.0, -0.0, -1.0, 3.927], [1.0, 0.0, 0.0, 20.073], [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 Technic Brick 1x6 with holes. The new piece stands upright. It sits beside the existing piece, at the same height. Along the existing piece it is off-centre, toward one end. It hangs 3 mm past the edge of the existing piece; 67% 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": 0.6, "red centre above the grey centre, mm": 12.1, "farthest point of red from the grey centre, studs": 4.84}, "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": 3.2, "share of red footprint not over the grey": 0.67}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.4, "can swing on its pin": false}, "balance": {"pair height, mm": 48.0, "height the red adds above the grey top, mm": 30.5, "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": 11, "free hole ends on the pair": 9, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.4 x 6.0", "how full that box is (1 = solid)": 0.14, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.53}}, "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": 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)": 0.532}, "the whole build": {"build height after, mm": 48.1, "build footprint after, studs": "6.5 x 7.5", "new piece distance from the build centre, studs": 2.89, "build centre of mass outside the first piece footprint, mm": 6.8, "pieces in the build after": 6}, "where": {"joins the": "dark grey Technic Brick 1x6 with holes", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.37, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.26, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.36, "new piece": "Plate  1 x  6"}}}]}
{"turn": 5, "might_be": "self portrait: an orange beam balancing on one pin", "next": "A long orange Technic beam hung by its middle hole on the pin in front of the grey brick, crossing it at a tilt.", "want_piece": "beam", "want_on": "dark grey", "taste": "one warm orange bar hanging off one small dark pin", "pick": 2, "candidates": [{"name": "32524", "aimed": true, "p": 0.015, "T": [[-0.0, 1.0, -0.0, 27.927], [-0.0, -0.0, -1.0, -16.073], [-1.0, -0.0, 0.0, 8.073], [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 1x8 with holes. It lies parallel to the existing piece. It sits beside the existing piece, at the same height. Along the existing piece it is at one end. It hangs 36 mm past the edge of the existing piece; 100% 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": 4.99, "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": 1.0, "red centre above the grey centre, mm": 0.1, "farthest point of red from the grey centre, studs": 8.57}, "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": 35.5, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 1.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 2.21, "can swing on its pin": true}, "balance": {"pair height, mm": 11.2, "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": 1.97}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 23, "connectors the join covered up": 5}, "shape": {"pair bounding box, studs (long x short x tall)": "12.4 x 2.0 x 1.4", "how full that box is (1 = solid)": 0.3, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 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": 0.386, "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)": 0.607}, "the whole build": {"build height after, mm": 17.6, "build footprint after, studs": "12.4 x 7.5", "new piece distance from the build centre, studs": 4.8, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 7}, "where": {"joins the": "dark grey Technic Brick 1x8 with holes", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.69, "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)": 0.84, "new piece": "Technic Beam 7"}}}, {"name": "32316", "aimed": true, "p": 0.01, "T": [[-0.0, 1.0, -0.0, -52.073], [-0.0, -0.0, -1.0, -16.073], [-1.0, -0.0, 0.0, 8.073], [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 Brick 1x8 with holes. It lies parallel to the existing piece. It sits beside the existing piece, at the same height. Along the existing piece it is at one end. It hangs 28 mm past the edge of the existing piece; 100% 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": 5.01, "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": 1.0, "red centre above the grey centre, mm": 0.1, "farthest point of red from the grey centre, studs": 7.61}, "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": 27.7, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 1.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 1.3, "can swing on its pin": true}, "balance": {"pair height, mm": 11.2, "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": 1.58}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 21, "connectors the join covered up": 3}, "shape": {"pair bounding box, studs (long x short x tall)": "11.5 x 2.0 x 1.4", "how full that box is (1 = solid)": 0.29, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 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": 0.25, "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)": 0.423}, "the whole build": {"build height after, mm": 17.6, "build footprint after, studs": "11.5 x 7.5", "new piece distance from the build centre, studs": 6.18, "build centre of mass outside the first piece footprint, mm": 12.1, "pieces in the build after": 7}, "where": {"joins the": "dark grey Technic Brick 1x8 with holes", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.69, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -1.3, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.34, "new piece": "Technic Beam 5"}}}, {"name": "32316", "aimed": true, "p": 0.495, "T": [[-0.0, 1.0, 0.0, 15.927], [-1.0, -0.0, 0.0, 16.073], [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. 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)": 0.58, "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": 5.14}, "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": 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)": 3.0, "centre of mass offset from the grey centre, studs": 1.17}, "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": 17.6, "build footprint after, studs": "9.9 x 7.5", "new piece distance from the build centre, studs": 3.35, "build centre of mass outside the first piece footprint, mm": 2.5, "pieces in the build after": 7}, "where": {"joins the": "orange Technic Beam 7", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.68, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 1.18, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.1, "new piece": "Technic Beam 5"}}}, {"name": "3070b", "aimed": true, "p": 0.0, "T": [[-1.0, -0.0, 0.0, -20.0], [0.0, -1.0, 0.0, 20.0], [0.0, 0.0, 1.0, 8.8], [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 Technic Brick 1x2 with hole. 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": 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": 5.6, "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": 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": 0.09}, "openness": {"free studs on the pair": 1, "free hole ends on the pair": 2, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 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)": 0.21}, "the whole build": {"build height after, mm": 17.6, "build footprint after, studs": "8.0 x 7.5", "new piece distance from the build centre, studs": 2.94, "build centre of mass outside the first piece footprint, mm": 6.3, "pieces in the build after": 7}, "where": {"joins the": "dark grey Technic Brick 1x2 with hole", "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)": 0.24, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.73, "new piece": "Tile  1 x  1 with Groove"}}}, {"name": "32524", "aimed": true, "p": 0.095, "T": [[-0.0, 1.0, -0.0, -3.927], [-0.0, -0.0, -1.0, -16.073], [-1.0, -0.0, 0.0, 8.073], [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 1x8 with holes. It lies parallel to the existing piece. It sits beside the existing piece, at the same height. Along the existing piece it is in the middle. It hangs 8 mm past the edge of the existing piece; 100% 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)": 0.25, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 0.1, "farthest point of red from the grey centre, studs": 4.7}, "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": 8.0, "share of red footprint not over the grey": 1.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 5.8, "can swing on its pin": true}, "balance": {"pair height, mm": 11.2, "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": 8, "free hole ends on the pair": 15, "connectors the join covered up": 13}, "shape": {"pair bounding box, studs (long x short x tall)": "8.5 x 2.0 x 1.4", "how full that box is (1 = solid)": 0.44, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.37}}, "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": 1.152, "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)": 0.607}, "the whole build": {"build height after, mm": 17.6, "build footprint after, studs": "8.5 x 7.5", "new piece distance from the build centre, studs": 2.26, "build centre of mass outside the first piece footprint, mm": 5.0, "pieces in the build after": 7}, "where": {"joins the": "dark grey Technic Brick 1x8 with holes", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.69, "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)": 0.37, "new piece": "Technic Beam 7"}}}, {"name": "32524", "aimed": true, "p": 0.015, "T": [[-0.0, 1.0, -0.0, 27.927], [-0.0, -0.0, -1.0, -16.073], [-1.0, -0.0, 0.0, 8.073], [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 1x8 with holes. It lies parallel to the existing piece. It sits beside the existing piece, at the same height. Along the existing piece it is at one end. It hangs 36 mm past the edge of the existing piece; 100% 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": 4.99, "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": 1.0, "red centre above the grey centre, mm": 0.1, "farthest point of red from the grey centre, studs": 8.57}, "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": 35.5, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 1.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 2.21, "can swing on its pin": true}, "balance": {"pair height, mm": 11.2, "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": 1.97}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 23, "connectors the join covered up": 5}, "shape": {"pair bounding box, studs (long x short x tall)": "12.4 x 2.0 x 1.4", "how full that box is (1 = solid)": 0.3, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 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": 0.386, "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)": 0.607}, "the whole build": {"build height after, mm": 17.6, "build footprint after, studs": "12.4 x 7.5", "new piece distance from the build centre, studs": 4.8, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 7}, "where": {"joins the": "dark grey Technic Brick 1x8 with holes", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.69, "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)": 0.84, "new piece": "Technic Beam 7"}}}, {"name": "32524", "aimed": true, "p": 0.02, "T": [[-0.0, 1.0, -0.0, -28.073], [-0.0, -0.0, -1.0, -16.073], [-1.0, -0.0, 0.0, 8.073], [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 1x8 with holes. It lies parallel to the existing piece. It sits beside the existing piece, at the same height. Along the existing piece it is off-centre, toward one end. It hangs 12 mm past the edge of the existing piece; 100% 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)": 0.5, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 0.1, "farthest point of red from the grey centre, studs": 5.66}, "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": 11.7, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 1.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 4.9, "can swing on its pin": true}, "balance": {"pair height, mm": 11.2, "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": 8, "free hole ends on the pair": 17, "connectors the join covered up": 11}, "shape": {"pair bounding box, studs (long x short x tall)": "9.5 x 2.0 x 1.4", "how full that box is (1 = solid)": 0.39, "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": 0.959, "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)": 0.607}, "the whole build": {"build height after, mm": 17.6, "build footprint after, studs": "9.5 x 7.5", "new piece distance from the build centre, studs": 3.56, "build centre of mass outside the first piece footprint, mm": 9.6, "pieces in the build after": 7}, "where": {"joins the": "dark grey Technic Brick 1x8 with holes", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.69, "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)": 0.01, "new piece": "Technic Beam 7"}}}, {"name": "32524", "aimed": true, "p": 0.015, "T": [[-0.0, 1.0, -0.0, -44.073], [-0.0, -0.0, -1.0, -16.073], [-1.0, -0.0, 0.0, 8.073], [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 1x8 with holes. It lies parallel to the existing piece. It sits beside the existing piece, at the same height. Along the existing piece it is at one end. It hangs 28 mm past the edge of the existing piece; 100% 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": 4.01, "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": 1.0, "red centre above the grey centre, mm": 0.1, "farthest point of red from the grey centre, studs": 7.61}, "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": 27.7, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 1.0}, "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": 11.2, "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": 1.6}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 21, "connectors the join covered up": 7}, "shape": {"pair bounding box, studs (long x short x tall)": "11.5 x 2.0 x 1.4", "how full that box is (1 = solid)": 0.33, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 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": 0.577, "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)": 0.607}, "the whole build": {"build height after, mm": 17.6, "build footprint after, studs": "11.5 x 7.5", "new piece distance from the build centre, studs": 5.26, "build centre of mass outside the first piece footprint, mm": 12.6, "pieces in the build after": 7}, "where": {"joins the": "dark grey Technic Brick 1x8 with holes", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.69, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -1.07, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.23, "new piece": "Technic Beam 7"}}}]}