{"turn": 0, "might_be": "not sure yet", "next": "A long thin plate on top of the tan slope, reaching right past its edge into the air.", "want_piece": "long", "want_on": "tan", "taste": "a slant that wants something to happen on it", "pick": 2, "candidates": [{"name": "3666", "aimed": true, "p": 0.135, "T": [[0.0, -1.0, 0.0, 4.0], [1.0, 0.0, 0.0, 4.0], [0.0, 0.0, 1.0, 3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  6 is stacked (studs into its underside) to a existing Slope Brick 45  2 x  2. It sits on top of the existing piece. It hangs 32 mm past the edge of the existing piece; 67% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 4.22}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 24.0, "share of red footprint not over the grey": 0.67}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 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": 0.64}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.26, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.42}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.941}, "the whole build": {"build height after, mm": 14.4, "build footprint after, studs": "2.0 x 6.0", "new piece distance from the build centre, studs": 1.23, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "tan Slope Brick 45  2 x  2", "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)": -0.42, "new piece": "Plate  1 x  6"}}}, {"name": "3666", "aimed": true, "p": 0.065, "T": [[-0.0, 1.0, 0.0, 4.0], [-1.0, -0.0, 0.0, -4.0], [0.0, 0.0, 1.0, 3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  6 is stacked (studs into its underside) to a existing Slope Brick 45  2 x  2. It sits on top of the existing piece. It hangs 32 mm past the edge of the existing piece; 67% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 3.29}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 16.0, "share of red footprint not over the grey": 0.67}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 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": 0.26}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.26, "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)": 0.941}, "the whole build": {"build height after, mm": 14.4, "build footprint after, studs": "2.0 x 6.0", "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": 2}, "where": {"joins the": "tan Slope Brick 45  2 x  2", "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)": 0.31, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.19, "new piece": "Plate  1 x  6"}}}, {"name": "3666", "aimed": true, "p": 0.735, "T": [[1.0, 0.0, 0.0, 0.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  6 is stacked (studs into its underside) to a existing Slope Brick 45  2 x  2. It sits on top of the existing piece. It hangs 32 mm past the edge of the existing piece; 67% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 3.29}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.67}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 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": 0.33}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.26, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.83}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.941}, "the whole build": {"build height after, mm": 14.4, "build footprint after, studs": "6.0 x 2.0", "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": 2}, "where": {"joins the": "tan Slope Brick 45  2 x  2", "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)": 0.19, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.31, "new piece": "Plate  1 x  6"}}}, {"name": "3666", "aimed": false, "p": 0.055, "T": [[-1.0, -0.0, 0.0, -16.0], [0.0, -1.0, 0.0, -8.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  6 is stacked (studs into its underside) to a existing Slope Brick 45  2 x  2. It sits underneath the existing piece. It hangs 32 mm past the edge of the existing piece; 67% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 2.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 5.22}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 32.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.67}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 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": 1.02}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.26, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.33}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.941}, "the whole build": {"build height after, mm": 14.4, "build footprint after, studs": "6.0 x 2.0", "new piece distance from the build centre, studs": 2.27, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "tan Slope Brick 45  2 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.06, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -1.42, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.46, "new piece": "Plate  1 x  6"}}}, {"name": "3023", "aimed": false, "p": 0.0, "T": [[-1.0, -0.0, 0.0, 0.0], [0.0, -1.0, 0.0, -8.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x2 is stacked (studs into its underside) to a existing Slope Brick 45  2 x  2. It sits underneath the existing piece. 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": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 1.79}, "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": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.01}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.57, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.83}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.362}, "the whole build": {"build height after, mm": 14.4, "build footprint after, studs": "2.0 x 2.0", "new piece distance from the build centre, studs": 1.06, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "tan Slope Brick 45  2 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.04, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.19, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.31, "new piece": "Plate 1x2"}}}, {"name": "4032a", "aimed": false, "p": 0.0, "T": [[-0.0, 1.0, 0.0, 8.0], [-1.0, -0.0, 0.0, -4.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  2 x  2 Round with Axlehole is stacked (studs into its underside) to a existing Slope Brick 45  2 x  2. It sits underneath the existing piece. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 2.28}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.35}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.44, "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)": 0.463}, "the whole build": {"build height after, mm": 14.4, "build footprint after, studs": "3.0 x 2.0", "new piece distance from the build centre, studs": 1.32, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "tan Slope Brick 45  2 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.05, "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)": 0.38, "new piece": "Plate  2 x  2 Round with Axlehole"}}}, {"name": "3004", "aimed": false, "p": 0.005, "T": [[1.0, 0.0, 0.0, 0.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  2 is stacked (studs into its underside) to a existing Slope Brick 45  2 x  2. It sits on top of the existing piece. 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": 0.0, "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": 9.6, "farthest point of red from the grey centre, studs": 2.21}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.3}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.48, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.83}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.815}, "the whole build": {"build height after, mm": 20.8, "build footprint after, studs": "2.0 x 2.0", "new piece distance from the build centre, studs": 1.43, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "tan Slope Brick 45  2 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.55, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.19, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.31, "new piece": "Brick  1 x  2"}}}, {"name": "41769a", "aimed": false, "p": 0.005, "T": [[0.0, -1.0, 0.0, 16.0], [1.0, 0.0, 0.0, -4.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Wing  2 x  4 Right without Chamfer is stacked (studs into its underside) to a existing Slope Brick 45  2 x  2. It sits underneath the existing piece. It hangs 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 2.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 4.27}, "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": 24.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.93}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.35, "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)": 0.912}, "the whole build": {"build height after, mm": 14.4, "build footprint after, studs": "5.0 x 2.0", "new piece distance from the build centre, studs": 2.13, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "tan Slope Brick 45  2 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.11, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 1.25, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.62, "new piece": "Wing  2 x  4 Right without Chamfer"}}}]}
{"turn": 1, "might_be": "a lopsided seesaw, joke in the weights", "next": "A round plate sitting on the right end of the blue plank, a fat lump weighing that side down.", "want_piece": "round", "want_on": "medium blue", "taste": "a balance that's about to go wrong, funny from the start", "pick": 0, "candidates": [{"name": "4032a", "aimed": true, "p": 0.65, "T": [[1.0, 0.0, 0.0, 16.0], [0.0, 1.0, 0.0, -4.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  2 x  2 Round with Axlehole is stacked (studs into its underside) to a existing Plate  1 x  6. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.67, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 3.13}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.67}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.3, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.42}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.436}, "the whole build": {"build height after, mm": 14.4, "build footprint after, studs": "6.0 x 2.0", "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": 3}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.62, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.51, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.74, "new piece": "Plate  2 x  2 Round with Axlehole"}}}, {"name": "3039", "aimed": false, "p": 0.04, "T": [[1.0, 0.0, 0.0, 16.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  2 is stacked (studs into its underside) to a existing Plate  1 x  6. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.67, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 3.67}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.01}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.26, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.42}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.941}, "the whole build": {"build height after, mm": 14.4, "build footprint after, studs": "6.0 x 2.0", "new piece distance from the build centre, studs": 2.04, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 3}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.43, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.54, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.67, "new piece": "Slope Brick 45  2 x  2"}}}, {"name": "3039", "aimed": false, "p": 0.13, "T": [[-0.0, 1.0, 0.0, -20.0], [-1.0, -0.0, 0.0, 4.0], [0.0, 0.0, 1.0, 12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  2 is stacked (studs into its underside) to a existing Plate  1 x  6. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 3.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 4.28}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.43}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "7.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.22, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.941}, "the whole build": {"build height after, mm": 24.0, "build footprint after, studs": "7.0 x 3.0", "new piece distance from the build centre, studs": 3.16, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 3}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.32, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.76, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.96, "new piece": "Slope Brick 45  2 x  2"}}}, {"name": "6141", "aimed": false, "p": 0.085, "T": [[1.0, 0.0, 0.0, 12.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round is stacked (studs into its underside) to a existing Plate  1 x  6. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 2.05}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.18}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.0 x 1.0", "how full that box is (1 = solid)": 0.4, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.102}, "the whole build": {"build height after, mm": 14.4, "build footprint after, studs": "6.0 x 2.0", "new piece distance from the build centre, studs": 1.51, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 3}, "where": {"joins the": "medium blue Plate  1 x  6", "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)": 0.45, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.39, "new piece": "Plate  1 x  1 Round"}}}, {"name": "6141", "aimed": false, "p": 0.08, "T": [[0.0, -1.0, 0.0, -12.0], [1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 6.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round is stacked (studs into its underside) to a existing Plate  1 x  6. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 2.06}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.18}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.0 x 1.0", "how full that box is (1 = solid)": 0.4, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.102}, "the whole build": {"build height after, mm": 17.6, "build footprint after, studs": "6.0 x 2.0", "new piece distance from the build centre, studs": 1.68, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 3}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.05, "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)": -0.39, "new piece": "Plate  1 x  1 Round"}}}, {"name": "3023", "aimed": false, "p": 0.015, "T": [[1.0, 0.0, 0.0, 8.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 6.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x2 is stacked (studs into its underside) to a existing Plate  1 x  6. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is 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": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.33, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 2.12}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 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": 0.26}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.0 x 1.0", "how full that box is (1 = solid)": 0.48, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.83}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.341}, "the whole build": {"build height after, mm": 17.6, "build footprint after, studs": "6.0 x 2.0", "new piece distance from the build centre, studs": 1.29, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 3}, "where": {"joins the": "medium blue Plate  1 x  6", "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)": 0.3, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.26, "new piece": "Plate 1x2"}}}]}
{"turn": 2, "might_be": "a lopsided seesaw, someone hanging under one end", "next": "A tiny yellow round dot on top of the blue plank's far left end, a little rider far too light to win.", "want_piece": "round", "want_on": "medium blue", "taste": "a heavy lump hanging on underneath, and a tiny rider who can't win", "pick": 6, "candidates": [{"name": "6141", "aimed": true, "p": 0.47, "T": [[1.0, 0.0, 0.0, -20.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 6.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round is stacked (studs into its underside) to a existing Plate  1 x  6. It sits on top of the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.83, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 3.04}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.3}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.0 x 1.0", "how full that box is (1 = solid)": 0.4, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.102}, "the whole build": {"build height after, mm": 17.6, "build footprint after, studs": "6.0 x 2.0", "new piece distance from the build centre, studs": 3.27, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 4}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.05, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.75, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.69, "new piece": "Plate  1 x  1 Round"}}}, {"name": "6141", "aimed": true, "p": 0.03, "T": [[1.0, 0.0, 0.0, -20.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round is stacked (studs into its underside) to a existing Plate  1 x  6. It sits underneath the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.83, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 3.03}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.3}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.0 x 1.0", "how full that box is (1 = solid)": 0.4, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.102}, "the whole build": {"build height after, mm": 14.4, "build footprint after, studs": "6.0 x 2.0", "new piece distance from the build centre, studs": 3.18, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 4}, "where": {"joins the": "medium blue Plate  1 x  6", "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)": -0.75, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.69, "new piece": "Plate  1 x  1 Round"}}}, {"name": "6141", "aimed": false, "p": 0.0, "T": [[1.0, 0.0, 0.0, -4.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round is stacked (studs into its underside) to a existing Slope Brick 45  2 x  2. It sits underneath the existing piece. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 1.56}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.21}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.5, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.109}, "the whole build": {"build height after, mm": 17.6, "build footprint after, studs": "6.0 x 2.0", "new piece distance from the build centre, studs": 1.73, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 4}, "where": {"joins the": "tan Slope Brick 45  2 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.06, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.15, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.22, "new piece": "Plate  1 x  1 Round"}}}, {"name": "3039", "aimed": false, "p": 0.01, "T": [[-1.0, -0.0, 0.0, -24.0], [0.0, -1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  2 is stacked (studs into its underside) to a existing Plate  1 x  6. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 3.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 4.28}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.5}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "7.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.22, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.941}, "the whole build": {"build height after, mm": 24.0, "build footprint after, studs": "7.0 x 3.0", "new piece distance from the build centre, studs": 3.92, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 4}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.32, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.84, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.94, "new piece": "Slope Brick 45  2 x  2"}}}, {"name": "3004", "aimed": false, "p": 0.0, "T": [[1.0, 0.0, 0.0, 0.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  2 is stacked (studs into its underside) to a existing Plate  1 x  6. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 1.71}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 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": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.0}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.36, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 1.0}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "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)": 0.767}, "the whole build": {"build height after, mm": 24.0, "build footprint after, studs": "6.0 x 2.0", "new piece distance from the build centre, studs": 1.6, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 4}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.42, "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)": -0.1, "new piece": "Brick  1 x  2"}}}, {"name": "6141", "aimed": false, "p": 0.01, "T": [[0.0, -1.0, 0.0, -4.0], [1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 6.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round is stacked (studs into its underside) to a existing Plate  1 x  6. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.17, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 1.12}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 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": 0.06}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.0 x 1.0", "how full that box is (1 = solid)": 0.4, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.92}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.102}, "the whole build": {"build height after, mm": 17.6, "build footprint after, studs": "6.0 x 2.0", "new piece distance from the build centre, studs": 1.41, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 4}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.05, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.15, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.22, "new piece": "Plate  1 x  1 Round"}}}, {"name": "6141", "aimed": false, "p": 0.48, "T": [[1.0, 0.0, 0.0, -20.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 6.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round is stacked (studs into its underside) to a existing Plate  1 x  6. It sits on top of the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.83, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 3.04}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.3}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.0 x 1.0", "how full that box is (1 = solid)": 0.4, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.102}, "the whole build": {"build height after, mm": 17.6, "build footprint after, studs": "6.0 x 2.0", "new piece distance from the build centre, studs": 3.27, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 4}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.05, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.75, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.69, "new piece": "Plate  1 x  1 Round"}}}]}
{"turn": 3, "might_be": "a lopsided seesaw, tiny rider against a fat one", "next": "A big tan slope sitting on top of the blue plank's right end, a fat sitter facing the tiny yellow one.", "want_piece": "slope", "want_on": "medium blue", "taste": "a tiny smug rider who somehow outweighs everything", "pick": 1, "candidates": [{"name": "3039", "aimed": true, "p": 0.39, "T": [[1.0, 0.0, 0.0, 24.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  2 is stacked (studs into its underside) to a existing Plate  1 x  6. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 3.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 4.28}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.5}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "7.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.22, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.941}, "the whole build": {"build height after, mm": 24.0, "build footprint after, studs": "7.0 x 2.0", "new piece distance from the build centre, studs": 3.3, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 5}, "where": {"joins the": "medium blue Plate  1 x  6", "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)": 0.84, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.73, "new piece": "Slope Brick 45  2 x  2"}}}, {"name": "3039", "aimed": true, "p": 0.435, "T": [[0.0, -1.0, 0.0, 20.0], [1.0, 0.0, 0.0, 4.0], [0.0, 0.0, 1.0, 12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  2 is stacked (studs into its underside) to a existing Plate  1 x  6. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 3.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 4.28}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.43}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "7.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.22, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.941}, "the whole build": {"build height after, mm": 24.0, "build footprint after, studs": "7.0 x 3.0", "new piece distance from the build centre, studs": 3.22, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 5}, "where": {"joins the": "medium blue Plate  1 x  6", "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)": 0.95, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.38, "new piece": "Slope Brick 45  2 x  2"}}}, {"name": "3039", "aimed": true, "p": 0.155, "T": [[-0.0, 1.0, 0.0, 20.0], [-1.0, -0.0, 0.0, -4.0], [0.0, 0.0, 1.0, 12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  2 is stacked (studs into its underside) to a existing Plate  1 x  6. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.67, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 3.6}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.1}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.26, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.42}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.941}, "the whole build": {"build height after, mm": 24.0, "build footprint after, studs": "6.0 x 2.0", "new piece distance from the build centre, studs": 2.53, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 5}, "where": {"joins the": "medium blue Plate  1 x  6", "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)": 0.56, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.6, "new piece": "Slope Brick 45  2 x  2"}}}, {"name": "4032a", "aimed": false, "p": 0.005, "T": [[-0.0, 1.0, 0.0, 8.0], [-1.0, -0.0, 0.0, -12.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  2 x  2 Round with Axlehole is stacked (studs into its underside) to a existing Slope Brick 45  2 x  2. It sits underneath the existing piece. It hangs 8 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 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)": 1.0, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 2.63}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.39}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 3.0 x 1.8", "how full that box is (1 = solid)": 0.3, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.17}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, 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": 20.8, "build footprint after, studs": "6.0 x 3.0", "new piece distance from the build centre, studs": 2.21, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 5}, "where": {"joins the": "tan Slope Brick 45  2 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.03, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.02, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.7, "new piece": "Plate  2 x  2 Round with Axlehole"}}}, {"name": "3020", "aimed": false, "p": 0.005, "T": [[-1.0, -0.0, 0.0, 0.0], [0.0, -1.0, 0.0, -4.0], [0.0, 0.0, 1.0, 6.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x4 is stacked (studs into its underside) to a existing Plate  1 x  6. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 2.55}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 4, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 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": 0.27}, "openness": {"free studs on the pair": 10, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.42, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.833}, "the whole build": {"build height after, mm": 17.6, "build footprint after, studs": "6.0 x 2.0", "new piece distance from the build centre, studs": 0.68, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 5}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.88, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.09, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.09, "new piece": "Plate 2x4"}}}, {"name": "3023", "aimed": false, "p": 0.005, "T": [[1.0, 0.0, 0.0, 0.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 6.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x2 is stacked (studs into its underside) to a existing Plate  1 x  6. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 1.22}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 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": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.0}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.0 x 1.0", "how full that box is (1 = solid)": 0.48, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 1.0}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.341}, "the whole build": {"build height after, mm": 17.6, "build footprint after, studs": "6.0 x 2.0", "new piece distance from the build centre, studs": 0.66, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 5}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.88, "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)": -0.1, "new piece": "Plate 1x2"}}}, {"name": "3023", "aimed": false, "p": 0.005, "T": [[-1.0, -0.0, 0.0, 8.0], [0.0, -1.0, 0.0, -0.0], [0.0, 0.0, 1.0, 6.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x2 is stacked (studs into its underside) to a existing Plate  1 x  6. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is 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": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.33, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 2.12}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 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": 0.26}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.0 x 1.0", "how full that box is (1 = solid)": 0.48, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.83}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.341}, "the whole build": {"build height after, mm": 17.6, "build footprint after, studs": "6.0 x 2.0", "new piece distance from the build centre, studs": 1.3, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 5}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.88, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.3, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.13, "new piece": "Plate 1x2"}}}]}
{"turn": 4, "might_be": "a lopsided seesaw, fat sitter versus tiny rider", "next": "A small dark plate on top of the fat tan sitter, at its left edge, a little head turned toward the tiny yellow.", "want_piece": "plate", "want_on": "tan", "taste": "a fat smug lump and a tiny hopeful dot sharing one plank", "pick": 0, "candidates": [{"name": "3023", "aimed": true, "p": 0.395, "T": [[-1.0, -0.0, 0.0, 16.0], [0.0, -1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 16.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x2 is stacked (studs into its underside) to a existing Slope Brick 45  2 x  2. It sits on top of the existing piece. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 2.41}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.4}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.38, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.42}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.362}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 3.0", "new piece distance from the build centre, studs": 2.22, "build centre of mass outside the first piece footprint, mm": 0.4, "pieces in the build after": 6}, "where": {"joins the": "tan Slope Brick 45  2 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.05, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.29, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.35, "new piece": "Plate 1x2"}}}, {"name": "3023", "aimed": true, "p": 0.29, "T": [[0.0, -1.0, 0.0, 20.0], [1.0, 0.0, 0.0, 4.0], [0.0, 0.0, 1.0, 16.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x2 is stacked (studs into its underside) to a existing Slope Brick 45  2 x  2. It sits on top of the existing piece. 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": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 1.68}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 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": 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": 0.25}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.57, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.83}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.362}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 3.0", "new piece distance from the build centre, studs": 2.65, "build centre of mass outside the first piece footprint, mm": 0.7, "pieces in the build after": 6}, "where": {"joins the": "tan Slope Brick 45  2 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.05, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.49, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.28, "new piece": "Plate 1x2"}}}, {"name": "3023", "aimed": true, "p": 0.245, "T": [[-0.0, 1.0, 0.0, 20.0], [-1.0, -0.0, 0.0, -4.0], [0.0, 0.0, 1.0, 16.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x2 is stacked (studs into its underside) to a existing Slope Brick 45  2 x  2. It sits on top of the existing piece. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 2.41}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.36}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.38, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.33}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.362}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 3.0", "new piece distance from the build centre, studs": 2.63, "build centre of mass outside the first piece footprint, mm": 0.7, "pieces in the build after": 6}, "where": {"joins the": "tan Slope Brick 45  2 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.05, "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)": 0.65, "new piece": "Plate 1x2"}}}, {"name": "3701", "aimed": false, "p": 0.0, "T": [[-0.0, 1.0, 0.0, 28.0], [-1.0, -0.0, 0.0, 4.0], [0.0, 0.0, 1.0, 3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x4 with holes is stacked (studs into its underside) to a existing Slope Brick 45  2 x  2. It sits underneath the existing piece. It hangs 16 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 2.93}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.23}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 6, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.32, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.83}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.734}, "the whole build": {"build height after, mm": 24.0, "build footprint after, studs": "7.0 x 4.0", "new piece distance from the build centre, studs": 3.11, "build centre of mass outside the first piece footprint, mm": 5.4, "pieces in the build after": 6}, "where": {"joins the": "tan Slope Brick 45  2 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.39, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.73, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.51, "new piece": "Technic Brick 1x4 with holes"}}}, {"name": "3701", "aimed": false, "p": 0.005, "T": [[1.0, 0.0, 0.0, 16.0], [0.0, 1.0, 0.0, -8.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x4 with holes is stacked (studs into its underside) to a existing Slope Brick 45  2 x  2. It sits underneath the existing piece. It hangs 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 2.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 4.54}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 24.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 1.4, "centre of mass offset from the grey centre, studs": 1.2}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 6, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.26, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.33}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.731}, "the whole build": {"build height after, mm": 33.6, "build footprint after, studs": "7.0 x 3.0", "new piece distance from the build centre, studs": 2.65, "build centre of mass outside the first piece footprint, mm": 2.0, "pieces in the build after": 6}, "where": {"joins the": "tan Slope Brick 45  2 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.14, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.14, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.72, "new piece": "Technic Brick 1x4 with holes"}}}, {"name": "3020", "aimed": false, "p": 0.02, "T": [[-1.0, -0.0, 0.0, -8.0], [0.0, -1.0, 0.0, -4.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x4 is stacked (studs into its underside) to a existing Slope Brick 45  2 x  2. It sits underneath the existing piece. It hangs 16 mm past the edge of the existing piece; 50% 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)": 1.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 3.35}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 4, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.56}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.43, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.784}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 3.0", "new piece distance from the build centre, studs": 2.22, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 6}, "where": {"joins the": "tan Slope Brick 45  2 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.02, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.51, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.16, "new piece": "Plate 2x4"}}}, {"name": "3023", "aimed": false, "p": 0.02, "T": [[0.0, -1.0, 0.0, 20.0], [1.0, 0.0, 0.0, 12.0], [0.0, 0.0, 1.0, 3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x2 is stacked (studs into its underside) to a existing Slope Brick 45  2 x  2. It sits underneath the existing piece. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 2.49}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 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": 0.36}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.38, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.33}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.362}, "the whole build": {"build height after, mm": 24.0, "build footprint after, studs": "7.0 x 4.0", "new piece distance from the build centre, studs": 2.57, "build centre of mass outside the first piece footprint, mm": 0.7, "pieces in the build after": 6}, "where": {"joins the": "tan Slope Brick 45  2 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.51, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.64, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.09, "new piece": "Plate 1x2"}}}, {"name": "3020", "aimed": false, "p": 0.025, "T": [[-1.0, -0.0, 0.0, -0.0], [0.0, -1.0, 0.0, -4.0], [0.0, 0.0, 1.0, 6.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x4 is stacked (studs into its underside) to a existing Plate  1 x  6. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 2.55}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 4, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 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": 0.27}, "openness": {"free studs on the pair": 10, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.42, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.833}, "the whole build": {"build height after, mm": 24.0, "build footprint after, studs": "7.0 x 3.0", "new piece distance from the build centre, studs": 0.75, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 6}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.64, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.27, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.07, "new piece": "Plate 2x4"}}}]}
{"turn": 5, "might_be": "a lopsided seesaw, fat sitter peering at tiny rider", "next": "A small plate reaching left off the fat tan sitter, low down, like a stubby arm stretched toward the tiny yellow rider.", "want_piece": "plate", "want_on": "tan", "taste": "a fat glowering lump and a speck that won't budge", "pick": 4, "candidates": [{"name": "3023", "aimed": true, "p": 0.04, "T": [[-0.0, 1.0, 0.0, 12.0], [-1.0, -0.0, 0.0, -4.0], [0.0, 0.0, 1.0, 12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x2 is stacked (studs into its underside) to a existing Plate 1x2. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 1.93}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.35}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.36, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 3.0", "new piece distance from the build centre, studs": 1.3, "build centre of mass outside the first piece footprint, mm": 0.7, "pieces in the build after": 7}, "where": {"joins the": "dark grey Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.81, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.09, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.42, "new piece": "Plate 1x2"}}}, {"name": "3023", "aimed": true, "p": 0.125, "T": [[-1.0, -0.0, 0.0, 8.0], [0.0, -1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x2 is stacked (studs into its underside) to a existing Plate 1x2. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 2.18}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.5}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 1.0 x 1.0", "how full that box is (1 = solid)": 0.48, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 3.0", "new piece distance from the build centre, studs": 0.98, "build centre of mass outside the first piece footprint, mm": 0.3, "pieces in the build after": 7}, "where": {"joins the": "dark grey Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.81, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.05, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.12, "new piece": "Plate 1x2"}}}, {"name": "3023", "aimed": true, "p": 0.04, "T": [[0.0, -1.0, 0.0, 12.0], [1.0, 0.0, 0.0, 4.0], [0.0, 0.0, 1.0, 6.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x2 is stacked (studs into its underside) to a existing Plate  1 x  6. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 2.55}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.41}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.24, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "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)": 0.341}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 3.0", "new piece distance from the build centre, studs": 0.97, "build centre of mass outside the first piece footprint, mm": 0.7, "pieces in the build after": 7}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.57, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.24, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.05, "new piece": "Plate 1x2"}}}, {"name": "3023", "aimed": true, "p": 0.04, "T": [[0.0, -1.0, 0.0, 12.0], [1.0, 0.0, 0.0, 4.0], [0.0, 0.0, 1.0, 12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x2 is stacked (studs into its underside) to a existing Plate 1x2. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 1.93}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.35}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.36, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 3.0", "new piece distance from the build centre, studs": 1.34, "build centre of mass outside the first piece footprint, mm": 0.7, "pieces in the build after": 7}, "where": {"joins the": "dark grey Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.81, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.24, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.05, "new piece": "Plate 1x2"}}}, {"name": "3023", "aimed": false, "p": 0.48, "T": [[0.0, -1.0, 0.0, 28.0], [1.0, 0.0, 0.0, -4.0], [0.0, 0.0, 1.0, 3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x2 is stacked (studs into its underside) to a existing Slope Brick 45  2 x  2. It sits underneath the existing piece. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 2.49}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.26}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.38, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.33}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.362}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 3.0", "new piece distance from the build centre, studs": 2.82, "build centre of mass outside the first piece footprint, mm": 2.0, "pieces in the build after": 7}, "where": {"joins the": "tan Slope Brick 45  2 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.45, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.58, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.88, "new piece": "Plate 1x2"}}}, {"name": "3023", "aimed": false, "p": 0.03, "T": [[-0.0, 1.0, 0.0, 20.0], [-1.0, -0.0, 0.0, -4.0], [0.0, 0.0, 1.0, 19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x2 is stacked (studs into its underside) to a existing Plate 1x2. 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 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 1.87}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.35}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.36, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 30.4, "build footprint after, studs": "7.0 x 3.0", "new piece distance from the build centre, studs": 2.53, "build centre of mass outside the first piece footprint, mm": 1.3, "pieces in the build after": 7}, "where": {"joins the": "dark grey Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.04, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.33, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.65, "new piece": "Plate 1x2"}}}, {"name": "3023", "aimed": false, "p": 0.24, "T": [[1.0, 0.0, 0.0, -24.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x2 is stacked (studs into its underside) to a existing Plate  1 x  6. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 3.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 4.09}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.77}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "7.0 x 1.0 x 1.0", "how full that box is (1 = solid)": 0.41, "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)": 0.341}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "8.0 x 3.0", "new piece distance from the build centre, studs": 3.78, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 7}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.33, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.92, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.81, "new piece": "Plate 1x2"}}}]}
{"turn": 6, "might_be": "a seesaw, fat one cheating with a foot down", "next": "A small yellow round brick stacked on the tiny yellow rider, the little one piling itself up to weigh more.", "want_piece": "round", "want_on": "yellow", "taste": "a joke you can see in the bodies: the big one cheating, the little one trying", "pick": 0, "candidates": [{"name": "3062b", "aimed": true, "p": 0.98, "T": [[1.0, 0.0, 0.0, -20.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 16.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  1 Round with Hollow Stud is stacked (studs into its underside) to a existing Plate  1 x  1 Round. The new piece stands upright. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 4 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 1.53}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.0}, "openness": {"free studs on the pair": 1, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "1.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.45, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 1.0}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.385}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 3.0", "new piece distance from the build centre, studs": 3.78, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 8}, "where": {"joins the": "yellow Plate  1 x  1 Round", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.84, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.8, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.74, "new piece": "Brick  1 x  1 Round with Hollow Stud"}}}, {"name": "3062b", "aimed": true, "p": 0.01, "T": [[1.0, 0.0, 0.0, -20.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  1 Round with Hollow Stud is stacked (studs into its underside) to a existing Plate  1 x  6. The new piece stands upright. It sits underneath the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.83, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 3.26}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.57}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.25, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.266}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 3.0", "new piece distance from the build centre, studs": 3.74, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 8}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.25, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.8, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.74, "new piece": "Brick  1 x  1 Round with Hollow Stud"}}}, {"name": "3701", "aimed": false, "p": 0.0, "T": [[1.0, 0.0, 0.0, 8.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 25.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x4 with holes is stacked (studs into its underside) to a existing Plate 1x2. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 16 mm past the edge of the existing piece; 50% 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)": 1.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 3.31}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.8}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 6, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.57, "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)": 0.265}, "the whole build": {"build height after, mm": 36.8, "build footprint after, studs": "7.0 x 3.0", "new piece distance from the build centre, studs": 2.22, "build centre of mass outside the first piece footprint, mm": 1.5, "pieces in the build after": 8}, "where": {"joins the": "dark grey Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.17, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.05, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.06, "new piece": "Technic Brick 1x4 with holes"}}}, {"name": "3062b", "aimed": false, "p": 0.01, "T": [[0.0, -1.0, 0.0, 28.0], [1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, -0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  1 Round with Hollow Stud is stacked (studs into its underside) to a existing Plate 1x2. The new piece stands upright. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 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": 1.75}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.23}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.36, "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)": 0.781}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 3.0", "new piece distance from the build centre, studs": 2.56, "build centre of mass outside the first piece footprint, mm": 3.1, "pieces in the build after": 8}, "where": {"joins the": "tan Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.25, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.65, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.43, "new piece": "Brick  1 x  1 Round with Hollow Stud"}}}, {"name": "3039", "aimed": false, "p": 0.0, "T": [[-1.0, -0.0, 0.0, 16.0], [0.0, -1.0, 0.0, -16.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  2 is stacked (studs into its underside) to a existing Plate  2 x  2 Round with Axlehole. It sits on top of the existing piece. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 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": 6.4, "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": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.78}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.44, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.67}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.463}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 4.0", "new piece distance from the build centre, studs": 1.79, "build centre of mass outside the first piece footprint, mm": 3.1, "pieces in the build after": 8}, "where": {"joins the": "orange Plate  2 x  2 Round with Axlehole", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.58, "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)": 0.66, "new piece": "Slope Brick 45  2 x  2"}}}]}
{"turn": 7, "might_be": "a lopsided seesaw, tiny one piling up to win", "next": "A wide round plate on top of the tall yellow stack, a huge flat hat that adds weight, tipping things left.", "want_piece": "round", "want_on": "yellow", "taste": "a tiny one cheating back by stacking itself heavier", "pick": 1, "candidates": [{"name": "3700", "aimed": false, "p": 0.13, "T": [[-1.0, -0.0, 0.0, 0.0], [0.0, -1.0, 0.0, -0.0], [0.0, 0.0, 1.0, 12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x2 with hole is stacked (studs into its underside) to a existing Plate  1 x  6. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 1.71}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 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": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.0}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 2, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.36, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 1.0}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.695}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 3.0", "new piece distance from the build centre, studs": 0.87, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 9}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.72, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.2, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.26, "new piece": "Technic Brick 1x2 with hole"}}}, {"name": "3020", "aimed": false, "p": 0.78, "T": [[-1.0, -0.0, 0.0, -0.0], [0.0, -1.0, 0.0, -4.0], [0.0, 0.0, 1.0, 6.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x4 is stacked (studs into its underside) to a existing Plate  1 x  6. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 2.55}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 4, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 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": 0.27}, "openness": {"free studs on the pair": 10, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.42, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.833}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 3.0", "new piece distance from the build centre, studs": 0.78, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 9}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.57, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.27, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.1, "new piece": "Plate 2x4"}}}, {"name": "3700", "aimed": false, "p": 0.09, "T": [[-0.0, 1.0, 0.0, 28.0], [-1.0, -0.0, 0.0, -4.0], [0.0, 0.0, 1.0, -0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x2 with hole is stacked (studs into its underside) to a existing Plate 1x2. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 4 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 1.87}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.0}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 2, "connectors the join covered up": 2}, "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)": 0.67, "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)": 0.491}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 3.0", "new piece distance from the build centre, studs": 3.05, "build centre of mass outside the first piece footprint, mm": 2.8, "pieces in the build after": 9}, "where": {"joins the": "tan Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.25, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.58, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.59, "new piece": "Technic Brick 1x2 with hole"}}}]}
{"turn": 8, "might_be": "a seesaw, tiny one hogging the plank", "next": "A wide round plate on top of the tall yellow stack at the left end, a huge flat hat on the cheeky little one.", "want_piece": "round", "want_on": "yellow", "taste": "a tiny cheeky one quietly hogging the whole plank from a fat grump", "pick": 1, "candidates": [{"name": "4032a", "aimed": true, "p": 0.095, "T": [[0.0, -1.0, 0.0, 16.0], [1.0, 0.0, 0.0, -12.0], [0.0, 0.0, 1.0, 3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  2 x  2 Round with Axlehole is stacked (studs into its underside) to a existing Plate 2x4. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 3.31}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.64}, "openness": {"free studs on the pair": 11, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 3.0 x 1.0", "how full that box is (1 = solid)": 0.29, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.17}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.363}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 4.0", "new piece distance from the build centre, studs": 1.99, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 10}, "where": {"joins the": "yellow Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.45, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.06, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.61, "new piece": "Plate  2 x  2 Round with Axlehole"}}}, {"name": "4032a", "aimed": true, "p": 0.375, "T": [[-0.0, 1.0, 0.0, -16.0], [-1.0, -0.0, 0.0, -12.0], [0.0, 0.0, 1.0, 3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  2 x  2 Round with Axlehole is stacked (studs into its underside) to a existing Plate 2x4. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 3.31}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.64}, "openness": {"free studs on the pair": 11, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 3.0 x 1.0", "how full that box is (1 = solid)": 0.29, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.17}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.363}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 4.0", "new piece distance from the build centre, studs": 2.95, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 10}, "where": {"joins the": "yellow Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.45, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.91, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.18, "new piece": "Plate  2 x  2 Round with Axlehole"}}}, {"name": "4032a", "aimed": true, "p": 0.05, "T": [[1.0, 0.0, 0.0, -8.0], [0.0, 1.0, 0.0, -12.0], [0.0, 0.0, 1.0, 3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  2 x  2 Round with Axlehole is stacked (studs into its underside) to a existing Plate 2x4. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 2.49}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.4}, "openness": {"free studs on the pair": 10, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 3.0 x 1.0", "how full that box is (1 = solid)": 0.36, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.42}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.363}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 4.0", "new piece distance from the build centre, studs": 2.12, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 10}, "where": {"joins the": "yellow Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.45, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.67, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.02, "new piece": "Plate  2 x  2 Round with Axlehole"}}}, {"name": "4032a", "aimed": true, "p": 0.065, "T": [[-0.0, 1.0, 0.0, -8.0], [-1.0, -0.0, 0.0, -12.0], [0.0, 0.0, 1.0, 3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  2 x  2 Round with Axlehole is stacked (studs into its underside) to a existing Plate 2x4. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 2.49}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.4}, "openness": {"free studs on the pair": 10, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 3.0 x 1.0", "how full that box is (1 = solid)": 0.36, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.42}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.363}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 4.0", "new piece distance from the build centre, studs": 2.12, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 10}, "where": {"joins the": "yellow Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.45, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.67, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.02, "new piece": "Plate  2 x  2 Round with Axlehole"}}}, {"name": "4032a", "aimed": true, "p": 0.11, "T": [[-1.0, -0.0, 0.0, -0.0], [0.0, -1.0, 0.0, -12.0], [0.0, 0.0, 1.0, 3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  2 x  2 Round with Axlehole is stacked (studs into its underside) to a existing Plate 2x4. It sits underneath the existing piece. Along the existing piece it is in the middle. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 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": 1.0, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 2.12}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.28}, "openness": {"free studs on the pair": 10, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 3.0 x 1.0", "how full that box is (1 = solid)": 0.36, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.67}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.363}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 4.0", "new piece distance from the build centre, studs": 1.52, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 10}, "where": {"joins the": "yellow Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.45, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.42, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.22, "new piece": "Plate  2 x  2 Round with Axlehole"}}}, {"name": "3701", "aimed": false, "p": 0.085, "T": [[0.0, -1.0, 0.0, 4.0], [1.0, 0.0, 0.0, -12.0], [0.0, 0.0, 1.0, 16.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x4 with holes is stacked (studs into its underside) to a existing Plate 2x4. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 16 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 3.42}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 16.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.6}, "openness": {"free studs on the pair": 10, "free hole ends on the pair": 6, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 4.0 x 1.8", "how full that box is (1 = solid)": 0.22, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.54}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "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)": 0.936}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 5.0", "new piece distance from the build centre, studs": 1.61, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 10}, "where": {"joins the": "yellow Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.82, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.3, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.31, "new piece": "Technic Brick 1x4 with holes"}}}, {"name": "3034", "aimed": false, "p": 0.03, "T": [[0.0, -1.0, 0.0, 0.0], [1.0, 0.0, 0.0, 12.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x8 is stacked (studs into its underside) to a existing Slope Brick 45  2 x  2. It sits underneath the existing piece. It hangs 48 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 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": 2.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 6.18}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 40.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 4, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 3.7, "centre of mass offset from the grey centre, studs": 1.46}, "openness": {"free studs on the pair": 14, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.32, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.399}, "the whole build": {"build height after, mm": 30.4, "build footprint after, studs": "7.0 x 8.0", "new piece distance from the build centre, studs": 2.65, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 10}, "where": {"joins the": "tan Slope Brick 45  2 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.02, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.03, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.73, "new piece": "Plate 2x8"}}}, {"name": "3666", "aimed": false, "p": 0.19, "T": [[-1.0, -0.0, 0.0, -32.0], [0.0, -1.0, 0.0, -8.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  6 is stacked (studs into its underside) to a existing Plate 2x4. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 40 mm past the edge of the existing piece; 83% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 4.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 2.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 7.09}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 40.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.83}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.82}, "openness": {"free studs on the pair": 13, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "9.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.28, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.33}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.833}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "11.0 x 3.0", "new piece distance from the build centre, studs": 4.69, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 10}, "where": {"joins the": "yellow Plate 2x4", "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)": -1.32, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.72, "new piece": "Plate  1 x  6"}}}]}
{"turn": 9, "might_be": "a seesaw, yellow one shoving the fat one off", "next": "A small yellow curved brick on the yellow plank's right end, pressed nose-to-nose against the fat tan sitter, shoving.", "want_piece": "brick", "want_on": "yellow", "taste": "a little yellow nuisance spreading until the big one has nowhere to sit", "pick": 0, "candidates": [{"name": "6091", "aimed": true, "p": 0.915, "T": [[-1.0, -0.0, 0.0, 12.0], [0.0, -1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 16.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  1 x  1.333 with Curved Top is stacked (studs into its underside) to a existing Plate 1x2. It sits beside the existing piece, at the same height. Along the existing piece it is off-centre, toward one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -5.6, "farthest point of red from the grey centre, studs": 2.35}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 0.4, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.39}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.37, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.567}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 4.0", "new piece distance from the build centre, studs": 1.55, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 11}, "where": {"joins the": "dark grey Plate 1x2", "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)": 0.29, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.09, "new piece": "Brick  2 x  1 x  1.333 with Curved Top"}}}, {"name": "3701", "aimed": false, "p": 0.045, "T": [[0.0, -1.0, 0.0, 28.0], [1.0, 0.0, 0.0, 4.0], [0.0, 0.0, 1.0, -0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x4 with holes is stacked (studs into its underside) to a existing Plate 1x2. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 16 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 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)": 1.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 3.39}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.8}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 6, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.57, "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)": 0.266}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 5.0", "new piece distance from the build centre, studs": 3.44, "build centre of mass outside the first piece footprint, mm": 0.9, "pieces in the build after": 11}, "where": {"joins the": "tan Plate 1x2", "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)": 0.75, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.27, "new piece": "Technic Brick 1x4 with holes"}}}, {"name": "3701", "aimed": false, "p": 0.015, "T": [[-1.0, -0.0, 0.0, -32.0], [0.0, -1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x4 with holes is stacked (studs into its underside) to a existing Plate  1 x  6. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 4.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.33, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 6.2}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 24.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 2.34}, "openness": {"free studs on the pair": 9, "free hole ends on the pair": 6, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "9.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.34, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.777}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "10.0 x 4.0", "new piece distance from the build centre, studs": 4.48, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 11}, "where": {"joins the": "medium blue Plate  1 x  6", "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)": -0.98, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -1.04, "new piece": "Technic Brick 1x4 with holes"}}}, {"name": "3034", "aimed": false, "p": 0.025, "T": [[0.0, -1.0, 0.0, 0.0], [1.0, 0.0, 0.0, 12.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x8 is stacked (studs into its underside) to a existing Plate 2x4. 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 48 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 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": 2.0, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 6.1}, "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": 40.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 4, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 2.6, "centre of mass offset from the grey centre, studs": 1.33}, "openness": {"free studs on the pair": 20, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 4.0 x 1.0", "how full that box is (1 = solid)": 0.27, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "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)": 0.508}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 8.0", "new piece distance from the build centre, studs": 1.87, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 11}, "where": {"joins the": "yellow Plate 2x4", "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)": 0.11, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.73, "new piece": "Plate 2x8"}}}]}
{"turn": 10, "might_be": "a seesaw, tiny yellow one shoving the fat one off", "next": "A small tan inverted slope stuck under the tan sitter's right edge, a stubby hand clinging to the end before it falls.", "want_piece": "slope", "want_on": "tan", "taste": "a pushy little one shoving a big grump off its own seesaw", "pick": 0, "candidates": [{"name": "3665a", "aimed": true, "p": 0.915, "T": [[-1.0, -0.0, 0.0, 28.0], [0.0, -1.0, 0.0, 8.0], [0.0, 0.0, 1.0, 3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  1 Inverted without Inner Stopper Ring is stacked (studs into its underside) to a existing Slope Brick 45  2 x  2. It sits underneath the existing piece. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 2.41}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.5}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.32, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.33}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.642}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 5.0", "new piece distance from the build centre, studs": 3.66, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 12}, "where": {"joins the": "tan Slope Brick 45  2 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.42, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.92, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.11, "new piece": "Slope Brick 45  2 x  1 Inverted without Inner Stopper Ring"}}}, {"name": "3665a", "aimed": true, "p": 0.035, "T": [[0.0, -1.0, 0.0, 20.0], [1.0, 0.0, 0.0, 8.0], [0.0, 0.0, 1.0, 22.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  1 Inverted without Inner Stopper Ring is stacked (studs into its underside) to a existing Slope Brick 45  2 x  2. It sits on top of the existing piece. 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": 9.6, "farthest point of red from the grey centre, studs": 2.21}, "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": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 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": 0.2}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.48, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.381}, "the whole build": {"build height after, mm": 33.6, "build footprint after, studs": "7.0 x 4.0", "new piece distance from the build centre, studs": 3.58, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 12}, "where": {"joins the": "tan Slope Brick 45  2 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.12, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.76, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.06, "new piece": "Slope Brick 45  2 x  1 Inverted without Inner Stopper Ring"}}}, {"name": "3665a", "aimed": false, "p": 0.015, "T": [[-1.0, -0.0, 0.0, -20.0], [0.0, -1.0, 0.0, -16.0], [0.0, 0.0, 1.0, 12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  1 Inverted without Inner Stopper Ring is stacked (studs into its underside) to a existing Plate  2 x  2 Round with Axlehole. It sits on top of the existing piece. 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": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 1.92}, "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": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.32}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.43, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.83}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.722}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 4.0", "new piece distance from the build centre, studs": 3.2, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 12}, "where": {"joins the": "yellow Plate  2 x  2 Round with Axlehole", "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)": -0.82, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.34, "new piece": "Slope Brick 45  2 x  1 Inverted without Inner Stopper Ring"}}}, {"name": "6141", "aimed": false, "p": 0.005, "T": [[0.0, -1.0, 0.0, 12.0], [1.0, 0.0, 0.0, -8.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round is stacked (studs into its underside) to a existing Plate 2x4. It sits on top of the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 2.14}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.16}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.39, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.46}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.085}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 4.0", "new piece distance from the build centre, studs": 1.36, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 12}, "where": {"joins the": "yellow Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.67, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.1, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.35, "new piece": "Plate  1 x  1 Round"}}}, {"name": "3666", "aimed": false, "p": 0.03, "T": [[1.0, 0.0, 0.0, -16.0], [0.0, 1.0, 0.0, -8.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  6 is stacked (studs into its underside) to a existing Slope Brick 45  2 x  2. It sits underneath the existing piece. It hangs 32 mm past the edge of the existing piece; 67% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 2.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 5.22}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 32.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.67}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 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": 1.02}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.26, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.33}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.941}, "the whole build": {"build height after, mm": 30.4, "build footprint after, studs": "9.0 x 4.0", "new piece distance from the build centre, studs": 3.26, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 12}, "where": {"joins the": "tan Slope Brick 45  2 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.03, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.67, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.33, "new piece": "Plate  1 x  6"}}}]}
{"turn": 11, "might_be": "a seesaw shove, tan one clinging on", "next": "A tiny yellow round plate under the far-left yellow puddle, a back heel dug in to push harder.", "want_piece": "round", "want_on": "yellow", "taste": "a shove meeting a stubborn grip, the joke kept in the bodies", "pick": 0, "candidates": [{"name": "6141", "aimed": true, "p": 0.455, "T": [[1.0, 0.0, 0.0, -20.0], [0.0, 1.0, 0.0, -16.0], [0.0, 0.0, 1.0, 6.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round is stacked (studs into its underside) to a existing Plate  2 x  2 Round with Axlehole. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 1.31}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.15}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.42, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.235}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 5.0", "new piece distance from the build centre, studs": 3.74, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 13}, "where": {"joins the": "yellow Plate  2 x  2 Round with Axlehole", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.55, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.93, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.12, "new piece": "Plate  1 x  1 Round"}}}, {"name": "6141", "aimed": true, "p": 0.145, "T": [[1.0, 0.0, 0.0, -20.0], [0.0, 1.0, 0.0, -8.0], [0.0, 0.0, 1.0, 6.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round is stacked (studs into its underside) to a existing Plate  2 x  2 Round with Axlehole. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 1.31}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.15}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.42, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.235}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 5.0", "new piece distance from the build centre, studs": 3.33, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 13}, "where": {"joins the": "yellow Plate  2 x  2 Round with Axlehole", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.55, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.8, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.43, "new piece": "Plate  1 x  1 Round"}}}, {"name": "2420", "aimed": false, "p": 0.01, "T": [[-1.0, -0.0, 0.0, -4.0], [0.0, -1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  2 x  2 Corner is stacked (studs into its underside) to a existing Plate 2x4. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 2.29}, "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": 4, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.25}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.54, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.421}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 5.0", "new piece distance from the build centre, studs": 1.6, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 13}, "where": {"joins the": "yellow Plate 2x4", "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)": -0.36, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.32, "new piece": "Plate  2 x  2 Corner"}}}, {"name": "6141", "aimed": false, "p": 0.15, "T": [[-0.0, 1.0, 0.0, 28.0], [-1.0, -0.0, 0.0, 0.0], [0.0, 0.0, 1.0, -0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round is stacked (studs into its underside) to a existing Plate 1x2. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 1.14}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.14}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 1.0 x 1.0", "how full that box is (1 = solid)": 0.47, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.301}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 5.0", "new piece distance from the build centre, studs": 2.92, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 13}, "where": {"joins the": "tan Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.32, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.57, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.43, "new piece": "Plate  1 x  1 Round"}}}, {"name": "6141", "aimed": false, "p": 0.24, "T": [[1.0, 0.0, 0.0, -4.0], [0.0, 1.0, 0.0, -8.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round is stacked (studs into its underside) to a existing Slope Brick 45  2 x  2. It sits underneath the existing piece. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 1.56}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.1}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.5, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.109}, "the whole build": {"build height after, mm": 30.4, "build footprint after, studs": "7.0 x 5.0", "new piece distance from the build centre, studs": 2.52, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 13}, "where": {"joins the": "tan Slope Brick 45  2 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.03, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.38, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.04, "new piece": "Plate  1 x  1 Round"}}}]}
{"turn": 12, "might_be": "a tiny yellow one shoving the fat one off", "next": "A small yellow plate tucked under the far-left yellow round puddle, pointing down and left, a back heel dug in.", "want_piece": "plate", "want_on": "yellow", "taste": "a little body putting its whole weight into a shove", "pick": 1, "candidates": [{"name": "3023", "aimed": true, "p": 0.165, "T": [[1.0, 0.0, 0.0, -16.0], [0.0, 1.0, 0.0, -16.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x2 is stacked (studs into its underside) to a existing Plate  1 x  1 Round. It sits on top of the existing piece. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 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)": 1.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 1.66}, "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": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.36}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 1.0 x 1.0", "how full that box is (1 = solid)": 0.47, "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)": 0.301}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 5.0", "new piece distance from the build centre, studs": 3.07, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 14}, "where": {"joins the": "yellow Plate  1 x  1 Round", "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)": -0.78, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.02, "new piece": "Plate 1x2"}}}, {"name": "3023", "aimed": true, "p": 0.46, "T": [[1.0, 0.0, 0.0, -24.0], [0.0, 1.0, 0.0, -16.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x2 is stacked (studs into its underside) to a existing Plate  1 x  1 Round. It sits on top of the existing piece. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 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)": 1.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 1.66}, "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": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.36}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 1.0 x 1.0", "how full that box is (1 = solid)": 0.47, "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)": 0.301}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "8.0 x 5.0", "new piece distance from the build centre, studs": 3.91, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 14}, "where": {"joins the": "yellow Plate  1 x  1 Round", "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)": -0.98, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.21, "new piece": "Plate 1x2"}}}, {"name": "3023", "aimed": true, "p": 0.22, "T": [[0.0, -1.0, 0.0, -20.0], [1.0, 0.0, 0.0, -12.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x2 is stacked (studs into its underside) to a existing Plate  1 x  1 Round. It sits on top of the existing piece. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 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": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 1.66}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.36}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 1.0 x 1.0", "how full that box is (1 = solid)": 0.47, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.301}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 5.0", "new piece distance from the build centre, studs": 3.25, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 14}, "where": {"joins the": "yellow Plate  1 x  1 Round", "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)": -0.82, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.27, "new piece": "Plate 1x2"}}}, {"name": "3023", "aimed": true, "p": 0.115, "T": [[-0.0, 1.0, 0.0, -20.0], [-1.0, -0.0, 0.0, -20.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x2 is stacked (studs into its underside) to a existing Plate  1 x  1 Round. It sits on top of the existing piece. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 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": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 1.66}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.36}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 1.0 x 1.0", "how full that box is (1 = solid)": 0.47, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.301}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 6.0", "new piece distance from the build centre, studs": 3.76, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 14}, "where": {"joins the": "yellow Plate  1 x  1 Round", "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)": 0.04, "new piece": "Plate 1x2"}}}, {"name": "3659", "aimed": false, "p": 0.025, "T": [[1.0, 0.0, 0.0, -8.0], [0.0, 1.0, 0.0, -16.0], [0.0, 0.0, 1.0, 16.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch  1 x  4 is stacked (studs into its underside) to a existing Plate  1 x  1 Round. It sits on top of the existing piece. It hangs 24 mm past the edge of the existing piece; 75% 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": 1.5, "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": 0.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 3.77}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 24.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 6.7, "centre of mass offset from the grey centre, studs": 1.34}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.5, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "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)": 0.085}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 5.0", "new piece distance from the build centre, studs": 2.54, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 14}, "where": {"joins the": "yellow Plate  1 x  1 Round", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.87, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.58, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.18, "new piece": "Arch  1 x  4"}}}, {"name": "4589", "aimed": false, "p": 0.005, "T": [[1.0, 0.0, 0.0, -12.0], [0.0, 1.0, 0.0, -8.0], [0.0, 0.0, 1.0, 16.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Cone  1 x  1 is stacked (studs into its underside) to a existing Plate 2x4. The new piece stands upright. It sits on top of the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 2.41}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.27}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.26, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.46}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, 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)": 0.157}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "7.0 x 5.0", "new piece distance from the build centre, studs": 2.21, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 14}, "where": {"joins the": "yellow Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.76, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.55, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.23, "new piece": "Cone  1 x  1"}}}, {"name": "4589", "aimed": false, "p": 0.01, "T": [[-1.0, -0.0, 0.0, -20.0], [0.0, -1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 25.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Cone  1 x  1 is stacked (studs into its underside) to a existing Brick  1 x  1 Round with Hollow Stud. The new piece stands upright. It sits on top of the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 4 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 1.92}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.0}, "openness": {"free studs on the pair": 1, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "1.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.55, "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)": 0.709}, "the whole build": {"build height after, mm": 36.8, "build footprint after, studs": "7.0 x 5.0", "new piece distance from the build centre, studs": 3.51, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 14}, "where": {"joins the": "yellow Brick  1 x  1 Round with Hollow Stud", "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)": -0.63, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.74, "new piece": "Cone  1 x  1"}}}]}
{"turn": 13, "might_be": "a skinny yellow one shoving a fat one off the seesaw", "next": "A round tan dish under the far right end, below the tan lump: its bottom sliding off the edge, about to go.", "want_piece": "round", "want_on": "tan", "taste": "a long skinny body pressed flat, shoving something twice its size off the edge", "pick": 0, "candidates": [{"name": "4740", "aimed": true, "p": 0.855, "T": [[1.0, 0.0, 0.0, 28.0], [0.0, 1.0, 0.0, 8.0], [0.0, 0.0, 1.0, -6.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Dish  2 x  2 Inverted is stacked (studs into its underside) to a existing Slope Brick 45  2 x  1 Inverted without Inner Stopper Ring. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 8 mm past the edge of the existing piece; 62% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 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": 1.86}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 4.0, "past the grey side, mm": 4.0, "share of red footprint not over the grey": 0.62}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.5, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.03}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.5 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.24, "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)": 0.341}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "8.5 x 5.0", "new piece distance from the build centre, studs": 3.93, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 15}, "where": {"joins the": "tan Slope Brick 45  2 x  1 Inverted without Inner Stopper Ring", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.07, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.74, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.12, "new piece": "Dish  2 x  2 Inverted"}}}, {"name": "4740", "aimed": false, "p": 0.115, "T": [[-1.0, -0.0, 0.0, -20.0], [0.0, -1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Dish  2 x  2 Inverted is stacked (studs into its underside) to a existing Plate  1 x  6. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 62% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.83, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 3.57}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 4.0, "past the grey side, mm": 4.0, "share of red footprint not over the grey": 0.62}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.5, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.65}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.5 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.2, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.206}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "8.0 x 5.0", "new piece distance from the build centre, studs": 2.86, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 15}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.31, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.45, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.74, "new piece": "Dish  2 x  2 Inverted"}}}, {"name": "4740", "aimed": false, "p": 0.03, "T": [[-0.0, 1.0, 0.0, -20.0], [-1.0, -0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Dish  2 x  2 Inverted is stacked (studs into its underside) to a existing Brick  1 x  1 Round with Hollow Stud. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 1.18}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 4.0, "past the grey side, mm": 4.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.0}, "openness": {"free studs on the pair": 1, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.14, "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)": 0.774}, "the whole build": {"build height after, mm": 30.4, "build footprint after, studs": "8.0 x 5.0", "new piece distance from the build centre, studs": 3.12, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 15}, "where": {"joins the": "yellow Brick  1 x  1 Round with Hollow Stud", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.01, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.45, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.74, "new piece": "Dish  2 x  2 Inverted"}}}]}
{"turn": 14, "might_be": "a skinny yellow one shoving a fat one off", "next": "A small tan cone poking up off the tan lump's far right side, a little foot lifting off as it tips.", "want_piece": "small", "want_on": "tan", "taste": "a whole long body pushing, and the other one's footing giving way", "pick": 0, "candidates": [{"name": "4589", "aimed": true, "p": 0.67, "T": [[1.0, 0.0, 0.0, 28.0], [0.0, 1.0, 0.0, 8.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Cone  1 x  1 is stacked (studs into its underside) to a existing Dish  2 x  2 Inverted. The new piece stands upright. It sits underneath 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": 0.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 1.55}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.0}, "openness": {"free studs on the pair": 1, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.18, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 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)": 0.916}, "the whole build": {"build height after, mm": 36.8, "build footprint after, studs": "8.5 x 5.0", "new piece distance from the build centre, studs": 4.12, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 16}, "where": {"joins the": "tan Dish  2 x  2 Inverted", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.18, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.74, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.12, "new piece": "Cone  1 x  1"}}}, {"name": "4589", "aimed": false, "p": 0.22, "T": [[1.0, 0.0, 0.0, -20.0], [0.0, 1.0, 0.0, -16.0], [0.0, 0.0, 1.0, 19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Cone  1 x  1 is stacked (studs into its underside) to a existing Plate 1x2. The new piece stands upright. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 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": 1.7}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.21}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.43, "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)": 0.554}, "the whole build": {"build height after, mm": 30.4, "build footprint after, studs": "8.5 x 5.0", "new piece distance from the build centre, studs": 3.6, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 16}, "where": {"joins the": "yellow Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.88, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.67, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.12, "new piece": "Cone  1 x  1"}}}, {"name": "3659", "aimed": false, "p": 0.03, "T": [[-1.0, -0.0, 0.0, 8.0], [0.0, -1.0, 0.0, 8.0], [0.0, 0.0, 1.0, 3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch  1 x  4 is stacked (studs into its underside) to a existing Brick  2 x  1 x  1.333 with Curved Top. It sits underneath the existing piece. It hangs 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -10.4, "farthest point of red from the grey centre, studs": 3.35}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 16.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 22.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.44}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 2.8", "how full that box is (1 = solid)": 0.24, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.496}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "8.5 x 5.0", "new piece distance from the build centre, studs": 1.45, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 16}, "where": {"joins the": "yellow Brick  2 x  1 x  1.333 with Curved Top", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.4, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.29, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.37, "new piece": "Arch  1 x  4"}}}, {"name": "3659", "aimed": false, "p": 0.08, "T": [[0.0, -1.0, 0.0, 20.0], [1.0, 0.0, 0.0, 12.0], [0.0, 0.0, 1.0, 25.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch  1 x  4 is stacked (studs into its underside) to a existing Plate 1x2. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 1.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 3.87}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 24.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 5.1, "centre of mass offset from the grey centre, studs": 1.2}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.28, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.281}, "the whole build": {"build height after, mm": 36.8, "build footprint after, studs": "8.5 x 6.0", "new piece distance from the build centre, studs": 3.59, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 16}, "where": {"joins the": "dark grey Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.23, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.62, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.24, "new piece": "Arch  1 x  4"}}}]}
{"turn": 15, "might_be": "a skinny yellow one shoving a fat one off", "next": "A tan arch tucked under the far-left yellow end, bent down to the ground like a back leg bracing to push.", "want_piece": "arch", "want_on": "yellow", "taste": "a fat one left standing on one tiny tiptoe while the skinny one shoves", "pick": 2, "candidates": [{"name": "3659", "aimed": true, "p": 0.085, "T": [[0.0, -1.0, 0.0, -28.0], [1.0, 0.0, 0.0, -12.0], [0.0, 0.0, 1.0, 6.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch  1 x  4 is stacked (studs into its underside) to a existing Plate 1x2. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 3.08}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 16.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.54}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.28, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.281}, "the whole build": {"build height after, mm": 36.8, "build footprint after, studs": "8.5 x 6.0", "new piece distance from the build centre, studs": 4.33, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 17}, "where": {"joins the": "yellow Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.64, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.8, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.47, "new piece": "Arch  1 x  4"}}}, {"name": "3659", "aimed": true, "p": 0.14, "T": [[-0.0, 1.0, 0.0, -28.0], [-1.0, -0.0, 0.0, -20.0], [0.0, 0.0, 1.0, 6.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch  1 x  4 is stacked (studs into its underside) to a existing Plate 1x2. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 3.08}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 16.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.54}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.28, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.281}, "the whole build": {"build height after, mm": 36.8, "build footprint after, studs": "8.5 x 7.0", "new piece distance from the build centre, studs": 4.73, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 17}, "where": {"joins the": "yellow Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.64, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.91, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.16, "new piece": "Arch  1 x  4"}}}, {"name": "3659", "aimed": true, "p": 0.685, "T": [[1.0, 0.0, 0.0, -40.0], [0.0, 1.0, 0.0, -16.0], [0.0, 0.0, 1.0, 6.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch  1 x  4 is stacked (studs into its underside) to a existing Plate 1x2. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 2.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 4.3}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 24.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 4.2, "centre of mass offset from the grey centre, studs": 1.52}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.45, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.281}, "the whole build": {"build height after, mm": 36.8, "build footprint after, studs": "11.5 x 5.0", "new piece distance from the build centre, studs": 5.91, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 17}, "where": {"joins the": "yellow Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.64, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -1.12, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.61, "new piece": "Arch  1 x  4"}}}, {"name": "3659", "aimed": true, "p": 0.09, "T": [[0.0, -1.0, 0.0, -28.0], [1.0, 0.0, 0.0, -4.0], [0.0, 0.0, 1.0, 6.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch  1 x  4 is stacked (studs into its underside) to a existing Plate 1x2. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 1.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 3.94}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 24.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 5.1, "centre of mass offset from the grey centre, studs": 1.2}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.28, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.281}, "the whole build": {"build height after, mm": 36.8, "build footprint after, studs": "8.5 x 5.0", "new piece distance from the build centre, studs": 4.13, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 17}, "where": {"joins the": "yellow Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.64, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.69, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.78, "new piece": "Arch  1 x  4"}}}, {"name": "3020", "aimed": false, "p": 0.0, "T": [[0.0, -1.0, 0.0, -0.0], [1.0, 0.0, 0.0, 4.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x4 is stacked (studs into its underside) to a existing Plate 2x4. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 16 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 3.2}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 16.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 4, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.5}, "openness": {"free studs on the pair": 12, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 4.0 x 1.0", "how full that box is (1 = solid)": 0.36, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.67}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 36.8, "build footprint after, studs": "8.5 x 5.0", "new piece distance from the build centre, studs": 1.13, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 17}, "where": {"joins the": "yellow Plate 2x4", "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)": 0.06, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.41, "new piece": "Plate 2x4"}}}]}
{"turn": 16, "might_be": "a skinny yellow one shoving a fat one off", "next": "A small yellow brick under the yellow arch's far left end, reaching down to the ground like a heel planted to push.", "want_piece": "brick", "want_on": "yellow", "taste": "a long body putting all its weight into one shove", "pick": 0, "candidates": [{"name": "3622", "aimed": true, "p": 0.575, "T": [[1.0, 0.0, 0.0, -52.0], [0.0, 1.0, 0.0, -16.0], [0.0, 0.0, 1.0, -3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  3 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 33% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 3.59}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.33}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.73}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.45, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.62}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.927}, "the whole build": {"build height after, mm": 36.8, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 7.09, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 18}, "where": {"joins the": "yellow Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.38, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.88, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.76, "new piece": "Brick  1 x  3"}}}, {"name": "3622", "aimed": true, "p": 0.405, "T": [[0.0, -1.0, 0.0, -52.0], [1.0, 0.0, 0.0, -8.0], [0.0, 0.0, 1.0, -3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  3 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 16 mm past the edge of the existing piece; 67% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 3.72}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 16.0, "share of red footprint not over the grey": 0.67}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.87}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 3.0 x 2.6", "how full that box is (1 = solid)": 0.19, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.12}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.927}, "the whole build": {"build height after, mm": 36.8, "build footprint after, studs": "11.5 x 5.0", "new piece distance from the build centre, studs": 6.92, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 18}, "where": {"joins the": "yellow Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.38, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.8, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -1.05, "new piece": "Brick  1 x  3"}}}, {"name": "3039", "aimed": false, "p": 0.01, "T": [[0.0, -1.0, 0.0, -4.0], [1.0, 0.0, 0.0, 4.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  2 is stacked (studs into its underside) to a existing Slope Brick 45  2 x  2. It sits underneath the existing piece. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 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": -9.6, "farthest point of red from the grey centre, studs": 2.93}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.59}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.43, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.67}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 36.8, "build footprint after, studs": "11.5 x 5.0", "new piece distance from the build centre, studs": 2.28, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 18}, "where": {"joins the": "tan Slope Brick 45  2 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.17, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.23, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.34, "new piece": "Slope Brick 45  2 x  2"}}}, {"name": "2412b", "aimed": false, "p": 0.005, "T": [[0.0, -1.0, 0.0, 20.0], [1.0, 0.0, 0.0, 12.0], [0.0, 0.0, 1.0, 16.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Tile  1 x  2 Grille with Groove is stacked (studs into its underside) to a existing Slope Brick 45  2 x  2. It sits on top of the existing piece. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 5.6, "farthest point of red from the grey centre, studs": 2.41}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 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": 0.33}, "openness": {"free studs on the pair": 1, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 2.0 x 1.6", "how full that box is (1 = solid)": 0.4, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.33}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.215}, "the whole build": {"build height after, mm": 36.8, "build footprint after, studs": "11.5 x 5.0", "new piece distance from the build centre, studs": 3.12, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 18}, "where": {"joins the": "tan Slope Brick 45  2 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.9, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.7, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.15, "new piece": "Tile  1 x  2 Grille with Groove"}}}, {"name": "3020", "aimed": false, "p": 0.005, "T": [[1.0, 0.0, 0.0, 8.0], [0.0, 1.0, 0.0, -12.0], [0.0, 0.0, 1.0, 3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x4 is stacked (studs into its underside) to a existing Plate  2 x  2 Round with Axlehole. It sits on top of the existing piece. It hangs 16 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 3.64}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.01}, "openness": {"free studs on the pair": 10, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 3.0 x 1.0", "how full that box is (1 = solid)": 0.36, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.17}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.363}, "the whole build": {"build height after, mm": 36.8, "build footprint after, studs": "11.5 x 5.0", "new piece distance from the build centre, studs": 1.42, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 18}, "where": {"joins the": "orange Plate  2 x  2 Round with Axlehole", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.59, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.22, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.45, "new piece": "Plate 2x4"}}}]}
{"turn": 17, "might_be": "a skinny yellow one shoving a fat one off", "next": "A small tan slope on the tan lump's right side, angled up and out: one arm flung up, flailing for balance.", "want_piece": "slope", "want_on": "tan", "taste": "a long body braced on one heel, pushing with everything", "pick": 0, "candidates": [{"name": "3040b", "aimed": true, "p": 0.735, "T": [[1.0, 0.0, 0.0, 20.0], [0.0, 1.0, 0.0, 16.0], [0.0, 0.0, 1.0, 22.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  1 is stacked (studs into its underside) to a existing Slope Brick 45  2 x  2. It sits on top of the existing piece. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 2.81}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.51}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.32, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.33}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.635}, "the whole build": {"build height after, mm": 43.2, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 3.79, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 19}, "where": {"joins the": "tan Slope Brick 45  2 x  2", "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)": 0.73, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.09, "new piece": "Slope Brick 45  2 x  1"}}}, {"name": "3039", "aimed": false, "p": 0.25, "T": [[0.0, -1.0, 0.0, -20.0], [1.0, 0.0, 0.0, -12.0], [0.0, 0.0, 1.0, 19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  2 is stacked (studs into its underside) to a existing Plate 1x2. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 2.52}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 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": 0.72}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.38, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.362}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 2.83, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 19}, "where": {"joins the": "yellow Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.95, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.15, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.03, "new piece": "Slope Brick 45  2 x  2"}}}, {"name": "3020", "aimed": false, "p": 0.015, "T": [[0.0, -1.0, 0.0, -56.0], [1.0, 0.0, 0.0, -4.0], [0.0, 0.0, 1.0, -12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x4 is stacked (studs into its underside) to a existing Brick  1 x  3. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.33, "red centre across the grey, studs from its centre": 1.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 3.96}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 24.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 2.5, "centre of mass offset from the grey centre, studs": 0.85}, "openness": {"free studs on the pair": 9, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 3.0 x 1.8", "how full that box is (1 = solid)": 0.25, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.33}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.936}, "the whole build": {"build height after, mm": 36.8, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 7.21, "build centre of mass outside the first piece footprint, mm": 0.8, "pieces in the build after": 19}, "where": {"joins the": "yellow Brick  1 x  3", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.16, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.7, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -1.1, "new piece": "Plate 2x4"}}}]}
{"turn": 18, "might_be": "a skinny yellow one shoving a fat one off", "next": "A small dark grey grille tile on the yellow curved nose, top: gritted teeth, straining.", "want_piece": "tile", "want_on": "yellow", "taste": "a fat one on tiptoe, arm flung up, about to go over", "pick": 1, "candidates": [{"name": "2412b", "aimed": true, "p": 0.04, "T": [[-0.0, 1.0, 0.0, 12.0], [-1.0, -0.0, 0.0, 4.0], [0.0, 0.0, 1.0, 19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Tile  1 x  2 Grille with Groove is stacked (studs into its underside) to a existing Plate 1x2. 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 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 2.4, "farthest point of red from the grey centre, studs": 1.87}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 6.4, "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": 0.33}, "openness": {"free studs on the pair": 1, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 0.8", "how full that box is (1 = solid)": 0.37, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.594}, "the whole build": {"build height after, mm": 43.2, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 2.33, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 20}, "where": {"joins the": "dark grey Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.84, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.5, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.05, "new piece": "Tile  1 x  2 Grille with Groove"}}}, {"name": "2412b", "aimed": true, "p": 0.585, "T": [[1.0, 0.0, 0.0, 16.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Tile  1 x  2 Grille with Groove is stacked (studs into its underside) to a existing Plate 1x2. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 4 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 2.4, "farthest point of red from the grey centre, studs": 1.22}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 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": 6.4, "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": 0.0}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 1.0 x 0.8", "how full that box is (1 = solid)": 0.75, "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)": 0.594}, "the whole build": {"build height after, mm": 43.2, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 2.57, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 20}, "where": {"joins the": "dark grey Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.84, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.53, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.27, "new piece": "Tile  1 x  2 Grille with Groove"}}}, {"name": "2412b", "aimed": true, "p": 0.17, "T": [[-1.0, -0.0, 0.0, 8.0], [0.0, -1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Tile  1 x  2 Grille with Groove is stacked (studs into its underside) to a existing Plate 1x2. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 2.4, "farthest point of red from the grey centre, studs": 2.12}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 6.4, "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": 0.46}, "openness": {"free studs on the pair": 1, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 1.0 x 0.8", "how full that box is (1 = solid)": 0.5, "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)": 0.594}, "the whole build": {"build height after, mm": 43.2, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 1.92, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 20}, "where": {"joins the": "dark grey Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.84, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.4, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.1, "new piece": "Tile  1 x  2 Grille with Groove"}}}, {"name": "2412b", "aimed": true, "p": 0.065, "T": [[-0.0, 1.0, 0.0, 12.0], [-1.0, -0.0, 0.0, -4.0], [0.0, 0.0, 1.0, 19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Tile  1 x  2 Grille with Groove is stacked (studs into its underside) to a existing Plate 1x2. 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 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 2.4, "farthest point of red from the grey centre, studs": 1.87}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 6.4, "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": 0.33}, "openness": {"free studs on the pair": 1, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 0.8", "how full that box is (1 = solid)": 0.37, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.594}, "the whole build": {"build height after, mm": 43.2, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 2.21, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 20}, "where": {"joins the": "dark grey Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.84, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.42, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.32, "new piece": "Tile  1 x  2 Grille with Groove"}}}, {"name": "3020", "aimed": false, "p": 0.0, "T": [[-0.0, 1.0, 0.0, -16.0], [-1.0, -0.0, 0.0, -12.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x4 is stacked (studs into its underside) to a existing Plate  1 x  6. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.67, "red centre across the grey, studs from its centre": 1.5, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 4.66}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 24.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 2.6, "centre of mass offset from the grey centre, studs": 1.37}, "openness": {"free studs on the pair": 12, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 4.0 x 1.0", "how full that box is (1 = solid)": 0.21, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.17}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.833}, "the whole build": {"build height after, mm": 43.2, "build footprint after, studs": "12.5 x 6.0", "new piece distance from the build centre, studs": 2.46, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 20}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.43, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.12, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.0, "new piece": "Plate 2x4"}}}, {"name": "3039", "aimed": false, "p": 0.135, "T": [[0.0, -1.0, 0.0, -44.0], [1.0, 0.0, 0.0, -12.0], [0.0, 0.0, 1.0, 16.0], [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 Arch  1 x  4. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "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": 9.6, "farthest point of red from the grey centre, studs": 2.48}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.25}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.32, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "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)": 0.777}, "the whole build": {"build height after, mm": 43.2, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 5.46, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 20}, "where": {"joins the": "yellow Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.73, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.54, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.53, "new piece": "Slope Brick 45  2 x  2"}}}, {"name": "3710", "aimed": false, "p": 0.005, "T": [[1.0, 0.0, 0.0, -32.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x4 is stacked (studs into its underside) to a existing Plate  1 x  6. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 4.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.33, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 6.06}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 24.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.61}, "openness": {"free studs on the pair": 9, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "9.0 x 1.0 x 1.0", "how full that box is (1 = solid)": 0.4, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "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)": 0.67}, "the whole build": {"build height after, mm": 43.2, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 4.09, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 20}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.43, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.26, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.73, "new piece": "Plate 1x4"}}}]}
{"turn": 19, "might_be": "a skinny yellow one shoving a fat one off", "next": "A small tan slope low on the tan lump's left side, reaching back to grab the yellow nose, a hand clutching the thing that pushes it.", "want_piece": "slope", "want_on": "tan", "taste": "two bodies touching at one point, one pushing and one clutching as it goes", "pick": 6, "candidates": [{"name": "3039", "aimed": true, "p": 0.08, "T": [[-0.0, 1.0, 0.0, 12.0], [-1.0, -0.0, 0.0, -12.0], [0.0, 0.0, 1.0, 16.0], [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 Plate 2x4. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 3.11}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 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": 0.69}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 3.0 x 1.8", "how full that box is (1 = solid)": 0.29, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.42}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.784}, "the whole build": {"build height after, mm": 43.2, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 1.89, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 21}, "where": {"joins the": "yellow Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.73, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.29, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.53, "new piece": "Slope Brick 45  2 x  2"}}}, {"name": "3039", "aimed": true, "p": 0.095, "T": [[1.0, 0.0, 0.0, 8.0], [0.0, 1.0, 0.0, -8.0], [0.0, 0.0, 1.0, 16.0], [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 Plate 2x4. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 2.84}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 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": 0.59}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 3.0 x 1.8", "how full that box is (1 = solid)": 0.29, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.42}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.784}, "the whole build": {"build height after, mm": 43.2, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 1.7, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 21}, "where": {"joins the": "yellow Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.73, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.29, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.46, "new piece": "Slope Brick 45  2 x  2"}}}, {"name": "3039", "aimed": true, "p": 0.13, "T": [[1.0, 0.0, 0.0, 16.0], [0.0, 1.0, 0.0, -8.0], [0.0, 0.0, 1.0, 16.0], [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 Plate 2x4. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 3.62}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 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": 0.97}, "openness": {"free studs on the pair": 9, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 3.0 x 1.8", "how full that box is (1 = solid)": 0.23, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.17}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, 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)": 0.784}, "the whole build": {"build height after, mm": 43.2, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 2.37, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 21}, "where": {"joins the": "yellow Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.73, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.42, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.62, "new piece": "Slope Brick 45  2 x  2"}}}, {"name": "3039", "aimed": true, "p": 0.14, "T": [[-0.0, 1.0, 0.0, 20.0], [-1.0, -0.0, 0.0, -12.0], [0.0, 0.0, 1.0, 16.0], [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 Plate 2x4. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 3.83}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.07}, "openness": {"free studs on the pair": 9, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 3.0 x 1.8", "how full that box is (1 = solid)": 0.23, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.17}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, 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)": 0.784}, "the whole build": {"build height after, mm": 43.2, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 2.57, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 21}, "where": {"joins the": "yellow Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.73, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.43, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.69, "new piece": "Slope Brick 45  2 x  2"}}}, {"name": "3039", "aimed": true, "p": 0.155, "T": [[0.0, -1.0, 0.0, 4.0], [1.0, 0.0, 0.0, -12.0], [0.0, 0.0, 1.0, 16.0], [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 Plate 2x4. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 2.84}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 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": 0.59}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 3.0 x 1.8", "how full that box is (1 = solid)": 0.29, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.42}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.784}, "the whole build": {"build height after, mm": 43.2, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 1.73, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 21}, "where": {"joins the": "yellow Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.73, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.25, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.47, "new piece": "Slope Brick 45  2 x  2"}}}, {"name": "3020", "aimed": false, "p": 0.035, "T": [[-1.0, -0.0, 0.0, 8.0], [0.0, -1.0, 0.0, -12.0], [0.0, 0.0, 1.0, 3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x4 is stacked (studs into its underside) to a existing Plate 2x4. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 8 mm past the edge of the existing piece; 62% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 3.67}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.62}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 3, "touching area, square studs": 3.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 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": 0.71}, "openness": {"free studs on the pair": 13, "free hole ends on the pair": 0, "connectors the join covered up": 3}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 3.0 x 1.0", "how full that box is (1 = solid)": 0.38, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.42}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 43.2, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 1.53, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 21}, "where": {"joins the": "yellow Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.51, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.27, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.5, "new piece": "Plate 2x4"}}}, {"name": "3039", "aimed": false, "p": 0.365, "T": [[-0.0, 1.0, 0.0, -20.0], [-1.0, -0.0, 0.0, -4.0], [0.0, 0.0, 1.0, 25.6], [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 Brick  1 x  1 Round with Hollow Stud. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 2.32}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 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": 0.46}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.38, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.283}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 3.7, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 21}, "where": {"joins the": "yellow Brick  1 x  1 Round with Hollow Stud", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.96, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.15, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.41, "new piece": "Slope Brick 45  2 x  2"}}}]}
{"turn": 20, "might_be": "a shove, and a bonk coming back", "next": "A small tan brick on the fat tan lump's upper left side, reaching up toward the mallet, like the arm swinging it.", "want_piece": "small", "want_on": "tan", "taste": "a shove getting answered: the gesture flips mid-fight, and the joke stays in the bodies", "pick": 0, "candidates": [{"name": "3005", "aimed": true, "p": 0.8, "T": [[1.0, 0.0, 0.0, 12.0], [0.0, 1.0, 0.0, -8.0], [0.0, 0.0, 1.0, 16.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  1 is stacked (studs into its underside) to a existing Plate 2x4. The new piece stands upright. It sits on top of the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 2.59}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.38}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.26, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.46}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, 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)": 0.342}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 2.04, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 22}, "where": {"joins the": "yellow Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.73, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.38, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.45, "new piece": "Brick  1 x  1"}}}, {"name": "6091", "aimed": false, "p": 0.165, "T": [[-1.0, -0.0, 0.0, 4.0], [0.0, -1.0, 0.0, -16.0], [0.0, 0.0, 1.0, 19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  1 x  1.333 with Curved Top is stacked (studs into its underside) to a existing Plate 2x4. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 7.2, "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": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 11.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.38}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 3.0 x 2.0", "how full that box is (1 = solid)": 0.2, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.54}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "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)": 0.5}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 1.83, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 22}, "where": {"joins the": "yellow Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.73, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.2, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.44, "new piece": "Brick  2 x  1 x  1.333 with Curved Top"}}}, {"name": "4740", "aimed": false, "p": 0.035, "T": [[1.0, 0.0, 0.0, -4.0], [0.0, 1.0, 0.0, -8.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Dish  2 x  2 Inverted is stacked (studs into its underside) to a existing Slope Brick 45  2 x  2. It sits underneath the existing piece. It hangs 4 mm past the edge of the existing piece; 44% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 2.03}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 4.0, "past the grey side, mm": 4.0, "share of red footprint not over the grey": 0.44}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 2.25, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.13}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.5 x 2.5 x 1.8", "how full that box is (1 = solid)": 0.34, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.219}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 2.23, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 22}, "where": {"joins the": "tan Slope Brick 45  2 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.18, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.12, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.12, "new piece": "Dish  2 x  2 Inverted"}}}]}
{"turn": 21, "might_be": "a shove, and a bonk coming back", "next": "A small tan inverted slope under the mallet's right end, angling down toward the tan lump, the arm holding the mallet.", "want_piece": "slope", "want_on": "tan", "taste": "two bodies doing opposite things at once, neither one winning yet", "pick": 1, "candidates": [{"name": "3665a", "aimed": true, "p": 0.205, "T": [[1.0, 0.0, 0.0, -12.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 16.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  1 Inverted without Inner Stopper Ring is stacked (studs into its underside) to a existing Plate 2x4. 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 does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 2.59}, "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": 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": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.54}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.32, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.62}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.504}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 1.95, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 23}, "where": {"joins the": "yellow Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.73, "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)": -0.13, "new piece": "Slope Brick 45  2 x  1 Inverted without Inner Stopper Ring"}}}, {"name": "3665a", "aimed": true, "p": 0.525, "T": [[1.0, 0.0, 0.0, -28.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 16.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  1 Inverted without Inner Stopper Ring is stacked (studs into its underside) to a existing Slope Brick 45  2 x  2. It sits underneath the existing piece. 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": 0.0, "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": -9.6, "farthest point of red from the grey centre, studs": 2.37}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.14}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.48, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.83}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.642}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 3.75, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 23}, "where": {"joins the": "tan Slope Brick 45  2 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.73, "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)": -0.46, "new piece": "Slope Brick 45  2 x  1 Inverted without Inner Stopper Ring"}}}, {"name": "4740", "aimed": false, "p": 0.015, "T": [[1.0, 0.0, 0.0, -60.0], [0.0, 1.0, 0.0, -16.0], [0.0, 0.0, 1.0, -12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Dish  2 x  2 Inverted is stacked (studs into its underside) to a existing Brick  1 x  3. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 62% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.67, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 2.28}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 4.0, "past the grey side, mm": 4.0, "share of red footprint not over the grey": 0.62}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.5, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.25}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "3.5 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.24, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.67}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.183}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "13.0 x 5.5", "new piece distance from the build centre, studs": 8.15, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 23}, "where": {"joins the": "yellow Brick  1 x  3", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.11, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.89, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.78, "new piece": "Dish  2 x  2 Inverted"}}}, {"name": "3665a", "aimed": false, "p": 0.245, "T": [[-0.0, 1.0, 0.0, -20.0], [-1.0, -0.0, 0.0, -8.0], [0.0, 0.0, 1.0, 12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  1 Inverted without Inner Stopper Ring is stacked (studs into its underside) to a existing Plate  2 x  2 Round with Axlehole. It sits on top of the existing piece. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 2.59}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.76}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.29, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.42}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.823}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 3.43, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 23}, "where": {"joins the": "yellow Plate  2 x  2 Round with Axlehole", "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)": -0.24, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.34, "new piece": "Slope Brick 45  2 x  1 Inverted without Inner Stopper Ring"}}}, {"name": "6091", "aimed": false, "p": 0.01, "T": [[-1.0, -0.0, 0.0, -20.0], [0.0, -1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  1 x  1.333 with Curved Top is stacked (studs into its underside) to a existing Plate  1 x  6. It sits beside the existing piece, at the same height. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.83, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -5.6, "farthest point of red from the grey centre, studs": 3.67}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 0.4, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.91}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.19, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.33}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.601}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 2.81, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 23}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.39, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.03, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.59, "new piece": "Brick  2 x  1 x  1.333 with Curved Top"}}}]}
{"turn": 22, "might_be": "a shove, and a bonk coming back", "next": "A long tan brick reaching from the tan fist left and up toward the mallet, the arm that swings it.", "want_piece": "brick", "want_on": "tan", "taste": "a comeback mid-shove, the pushed one swinging back over the pusher", "pick": 1, "candidates": [{"name": "3010", "aimed": true, "p": 0.35, "T": [[1.0, 0.0, 0.0, 16.0], [0.0, 1.0, 0.0, -8.0], [0.0, 0.0, 1.0, 25.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick 1x4 is stacked (studs into its underside) to a existing Brick  1 x  1. 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 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 3.06}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.39}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.4, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "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)": 0.277}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 3.06, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 24}, "where": {"joins the": "tan Brick  1 x  1", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.92, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.45, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.53, "new piece": "Brick 1x4"}}}, {"name": "3010", "aimed": true, "p": 0.42, "T": [[-1.0, -0.0, 0.0, 8.0], [0.0, -1.0, 0.0, -8.0], [0.0, 0.0, 1.0, 25.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick 1x4 is stacked (studs into its underside) to a existing Brick  1 x  1. 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 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 3.06}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.39}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.4, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "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)": 0.277}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 2.49, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 24}, "where": {"joins the": "tan Brick  1 x  1", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.92, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.31, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.37, "new piece": "Brick 1x4"}}}, {"name": "3010", "aimed": true, "p": 0.19, "T": [[-0.0, 1.0, 0.0, 12.0], [-1.0, -0.0, 0.0, -20.0], [0.0, 0.0, 1.0, 25.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick 1x4 is stacked (studs into its underside) to a existing Brick  1 x  1. 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 24 mm past the edge of the existing piece; 75% 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": 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": 1.5, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 3.92}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 24.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 5.4, "centre of mass offset from the grey centre, studs": 1.17}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.4, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "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)": 0.277}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 7.0", "new piece distance from the build centre, studs": 3.44, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 24}, "where": {"joins the": "tan Brick  1 x  1", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.92, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.26, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.85, "new piece": "Brick 1x4"}}}, {"name": "3020", "aimed": false, "p": 0.015, "T": [[-1.0, -0.0, 0.0, -56.0], [0.0, -1.0, 0.0, -12.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x4 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 16 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 4.37}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 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": 1.08}, "openness": {"free studs on the pair": 10, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.29, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.991}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "13.5 x 5.0", "new piece distance from the build centre, studs": 7.02, "build centre of mass outside the first piece footprint, mm": 0.4, "pieces in the build after": 24}, "where": {"joins the": "yellow Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.61, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.79, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.83, "new piece": "Plate 2x4"}}}, {"name": "3700", "aimed": false, "p": 0.015, "T": [[-1.0, -0.0, 0.0, 8.0], [0.0, -1.0, 0.0, 8.0], [0.0, 0.0, 1.0, 3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x2 with hole is stacked (studs into its underside) to a existing Brick  2 x  1 x  1.333 with Curved Top. It sits underneath the existing piece. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -10.4, "farthest point of red from the grey centre, studs": 2.69}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 22.4, "height the red adds above the grey top, mm": 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": 0.37}, "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 2.0 x 2.8", "how full that box is (1 = solid)": 0.32, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.864}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 1.87, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 24}, "where": {"joins the": "yellow Brick  2 x  1 x  1.333 with Curved Top", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.42, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.48, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.17, "new piece": "Technic Brick 1x2 with hole"}}}, {"name": "3700", "aimed": false, "p": 0.01, "T": [[0.0, -1.0, 0.0, -12.0], [1.0, 0.0, 0.0, -4.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x2 with hole is stacked (studs into its underside) to a existing Plate  1 x  6. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 2.92}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.67}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 2, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.18, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.694}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 1.83, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 24}, "where": {"joins the": "medium blue Plate  1 x  6", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.35, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.02, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.18, "new piece": "Technic Brick 1x2 with hole"}}}]}
{"turn": 23, "might_be": "a shove, and the bonk landing", "next": "A small yellow curved brick on top of the far-left yellow end, a squashed head lifting up, still pushing.", "want_piece": "brick", "want_on": "yellow", "taste": "a shove that gets flipped back on the shover", "pick": 1, "candidates": [{"name": "6091", "aimed": true, "p": 0.195, "T": [[1.0, 0.0, 0.0, -52.0], [0.0, 1.0, 0.0, -8.0], [0.0, 0.0, 1.0, 19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  1 x  1.333 with Curved Top is stacked (studs into its underside) to a existing Arch  1 x  4. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 10.4, "farthest point of red from the grey centre, studs": 3.02}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 22.4, "height the red adds above the grey top, mm": 11.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.55}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 2.8", "how full that box is (1 = solid)": 0.24, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.38}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.496}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 6.61, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 25}, "where": {"joins the": "yellow Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.73, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.71, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.78, "new piece": "Brick  2 x  1 x  1.333 with Curved Top"}}}, {"name": "6091", "aimed": true, "p": 0.505, "T": [[0.0, -1.0, 0.0, -60.0], [1.0, 0.0, 0.0, -16.0], [0.0, 0.0, 1.0, 19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  1 x  1.333 with Curved Top is stacked (studs into its underside) to a existing Arch  1 x  4. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 10.4, "farthest point of red from the grey centre, studs": 3.48}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 22.4, "height the red adds above the grey top, mm": 11.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.71}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 1.0 x 2.8", "how full that box is (1 = solid)": 0.38, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.602}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 7.32, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 25}, "where": {"joins the": "yellow Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.73, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.84, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.72, "new piece": "Brick  2 x  1 x  1.333 with Curved Top"}}}, {"name": "6091", "aimed": true, "p": 0.12, "T": [[-0.0, 1.0, 0.0, -44.0], [-1.0, -0.0, 0.0, -16.0], [0.0, 0.0, 1.0, 19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  1 x  1.333 with Curved Top is stacked (studs into its underside) to a existing Arch  1 x  4. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 10.4, "farthest point of red from the grey centre, studs": 2.54}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 22.4, "height the red adds above the grey top, mm": 11.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.3}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 2.8", "how full that box is (1 = solid)": 0.47, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.405}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 6.16, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 25}, "where": {"joins the": "yellow Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.73, "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)": -0.52, "new piece": "Brick  2 x  1 x  1.333 with Curved Top"}}}, {"name": "6091", "aimed": true, "p": 0.155, "T": [[-1.0, -0.0, 0.0, -52.0], [0.0, -1.0, 0.0, -24.0], [0.0, 0.0, 1.0, 19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  1 x  1.333 with Curved Top is stacked (studs into its underside) to a existing Arch  1 x  4. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 10.4, "farthest point of red from the grey centre, studs": 3.02}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 22.4, "height the red adds above the grey top, mm": 11.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.55}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 2.8", "how full that box is (1 = solid)": 0.24, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.38}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.496}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 6.0", "new piece distance from the build centre, studs": 6.91, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 25}, "where": {"joins the": "yellow Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.73, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.81, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.45, "new piece": "Brick  2 x  1 x  1.333 with Curved Top"}}}, {"name": "6091", "aimed": true, "p": 0.015, "T": [[1.0, 0.0, 0.0, -44.0], [0.0, 1.0, 0.0, -8.0], [0.0, 0.0, 1.0, 19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  1 x  1.333 with Curved Top is stacked (studs into its underside) to a existing Arch  1 x  4. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 10.4, "farthest point of red from the grey centre, studs": 2.48}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 22.4, "height the red adds above the grey top, mm": 11.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.27}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 2.8", "how full that box is (1 = solid)": 0.24, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.62}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.496}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 5.64, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 25}, "where": {"joins the": "yellow Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.73, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.58, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.61, "new piece": "Brick  2 x  1 x  1.333 with Curved Top"}}}, {"name": "6141", "aimed": false, "p": 0.0, "T": [[1.0, 0.0, 0.0, 20.0], [0.0, 1.0, 0.0, -8.0], [0.0, 0.0, 1.0, 16.0], [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 Brick 1x4. It sits underneath the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 2.2}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.13}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.5, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.62}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.069}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 2.81, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 25}, "where": {"joins the": "tan Brick 1x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.74, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.51, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.62, "new piece": "Plate  1 x  1 Round"}}}, {"name": "3022", "aimed": false, "p": 0.005, "T": [[-0.0, 1.0, 0.0, -24.0], [-1.0, -0.0, 0.0, -20.0], [0.0, 0.0, 1.0, 12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x2 is stacked (studs into its underside) to a existing Plate 1x2. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 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": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 1.87}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.32}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.54, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.55}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 6.0", "new piece distance from the build centre, studs": 3.72, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 25}, "where": {"joins the": "yellow Plate 1x2", "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)": -0.34, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.1, "new piece": "Plate 2x2"}}}, {"name": "3022", "aimed": false, "p": 0.005, "T": [[-0.0, 1.0, 0.0, -0.0], [-1.0, -0.0, 0.0, -12.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x2 is stacked (studs into its underside) to a existing Slope Brick 45  2 x  2. It sits underneath the existing piece. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 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": -6.4, "farthest point of red from the grey centre, studs": 2.49}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.29}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.44, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.67}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.658}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 2.42, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 25}, "where": {"joins the": "tan Slope Brick 45  2 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.2, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.14, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.33, "new piece": "Plate 2x2"}}}]}
{"turn": 24, "might_be": "a squashed skinny one, still pushing", "next": "A tiny yellow round dot on top of the lifted yellow head at the far left: an eye looking up at the slab.", "want_piece": "round", "want_on": "yellow", "taste": "a squashed little body that won't stop pushing back", "pick": 0, "candidates": [{"name": "6141", "aimed": true, "p": 0.55, "T": [[-1.0, -0.0, 0.0, -60.0], [0.0, -1.0, 0.0, -16.0], [0.0, 0.0, 1.0, 19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round is stacked (studs into its underside) to a existing Brick  2 x  1 x  1.333 with Curved Top. It sits beside the existing piece, at the same height. 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": 1.28}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 0.4, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "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": 0.18}, "openness": {"free studs on the pair": 1, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.6, "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)": 0.141}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 7.48, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 26}, "where": {"joins the": "yellow Brick  2 x  1 x  1.333 with Curved Top", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.81, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.89, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.78, "new piece": "Plate  1 x  1 Round"}}}, {"name": "6141", "aimed": true, "p": 0.445, "T": [[1.0, 0.0, 0.0, -44.0], [0.0, 1.0, 0.0, -16.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round is stacked (studs into its underside) to a existing Arch  1 x  4. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 1.36}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.05}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.5, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.88}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.085}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 5.42, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 26}, "where": {"joins the": "yellow Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.6, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.63, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.45, "new piece": "Plate  1 x  1 Round"}}}, {"name": "3659", "aimed": false, "p": 0.005, "T": [[0.0, -1.0, 0.0, -4.0], [1.0, 0.0, 0.0, -20.0], [0.0, 0.0, 1.0, 35.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch  1 x  4 is stacked (studs into its underside) to a existing Brick 1x4. 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 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 1.5, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 4.37}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 24.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 1.4, "centre of mass offset from the grey centre, studs": 0.95}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 4.0 x 2.6", "how full that box is (1 = solid)": 0.16, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.12}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.819}, "the whole build": {"build height after, mm": 56.0, "build footprint after, studs": "12.5 x 7.0", "new piece distance from the build centre, studs": 3.87, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 26}, "where": {"joins the": "tan Brick 1x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.13, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.01, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.52, "new piece": "Arch  1 x  4"}}}, {"name": "3659", "aimed": false, "p": 0.0, "T": [[0.0, -1.0, 0.0, 4.0], [1.0, 0.0, 0.0, 4.0], [0.0, 0.0, 1.0, 16.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch  1 x  4 is stacked (studs into its underside) to a existing Brick 1x4. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is in the middle. It hangs 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 1.5, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 4.11}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 24.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 1.4, "centre of mass offset from the grey centre, studs": 0.71}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 4.0 x 2.6", "how full that box is (1 = solid)": 0.16, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.38}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.819}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 1.49, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 26}, "where": {"joins the": "tan Brick 1x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.72, "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)": -0.12, "new piece": "Arch  1 x  4"}}}]}
{"turn": 25, "might_be": "a squashed skinny one, still pushing", "next": "A small yellow brick tucked under the tan slab's left end, standing up from the yellow back like an arm pushing it off.", "want_piece": "small", "want_on": "tan", "taste": "a squashed little one that still won't stop pushing", "pick": 0, "candidates": [{"name": "3005", "aimed": true, "p": 0.61, "T": [[1.0, 0.0, 0.0, -4.0], [0.0, 1.0, 0.0, -8.0], [0.0, 0.0, 1.0, 16.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  1 is stacked (studs into its underside) to a existing Brick 1x4. The new piece stands upright. It sits underneath the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 2.8}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.33}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.4, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.62}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.277}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 1.04, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 27}, "where": {"joins the": "tan Brick 1x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.73, "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)": 0.12, "new piece": "Brick  1 x  1"}}}, {"name": "6091", "aimed": false, "p": 0.015, "T": [[-1.0, -0.0, 0.0, -60.0], [0.0, -1.0, 0.0, -24.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  1 x  1.333 with Curved Top is stacked (studs into its underside) to a existing Brick  1 x  3. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.67, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 10.4, "farthest point of red from the grey centre, studs": 2.72}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 22.4, "height the red adds above the grey top, mm": 11.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.41}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 2.0 x 2.8", "how full that box is (1 = solid)": 0.26, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.42}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.535}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 6.0", "new piece distance from the build centre, studs": 7.23, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 27}, "where": {"joins the": "yellow Brick  1 x  3", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.52, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.94, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.62, "new piece": "Brick  2 x  1 x  1.333 with Curved Top"}}}, {"name": "3005", "aimed": false, "p": 0.365, "T": [[0.0, -1.0, 0.0, 4.0], [1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  1 is stacked (studs into its underside) to a existing Slope Brick 45  2 x  2. The new piece stands upright. It sits underneath the existing piece. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 2.37}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.29}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.4, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.436}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 2.6, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 27}, "where": {"joins the": "tan Slope Brick 45  2 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.18, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.33, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.02, "new piece": "Brick  1 x  1"}}}, {"name": "3022", "aimed": false, "p": 0.01, "T": [[-1.0, -0.0, 0.0, -8.0], [0.0, -1.0, 0.0, -4.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x2 is stacked (studs into its underside) to a existing Plate 2x4. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 2.29}, "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": 4, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.34}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.54, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.516}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 0.44, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 27}, "where": {"joins the": "yellow Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.61, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.09, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.1, "new piece": "Plate 2x2"}}}]}
{"turn": 26, "might_be": "a squashed skinny one, pushing up", "next": "A yellow arch on the yellow back, left of the tan slab, bowing upward like a spine heaving under the weight.", "want_piece": "arch", "want_on": "yellow", "taste": "a flattened body still shoving back against what landed on it", "pick": 0, "candidates": [{"name": "3659", "aimed": true, "p": 0.515, "T": [[1.0, 0.0, 0.0, -16.0], [0.0, 1.0, 0.0, -16.0], [0.0, 0.0, 1.0, 19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch  1 x  4 is stacked (studs into its underside) to a existing Plate 1x2. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 16 mm past the edge of the existing piece; 50% 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)": 1.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 3.31}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.76}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.57, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.281}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 2.37, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 28}, "where": {"joins the": "yellow Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.79, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.16, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.13, "new piece": "Arch  1 x  4"}}}, {"name": "3659", "aimed": true, "p": 0.245, "T": [[0.0, -1.0, 0.0, -28.0], [1.0, 0.0, 0.0, -28.0], [0.0, 0.0, 1.0, 19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch  1 x  4 is stacked (studs into its underside) to a existing Plate 1x2. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 1.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 3.87}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 24.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 5.1, "centre of mass offset from the grey centre, studs": 1.2}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.28, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.281}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 8.0", "new piece distance from the build centre, studs": 4.34, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 28}, "where": {"joins the": "yellow Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.79, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.49, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.28, "new piece": "Arch  1 x  4"}}}, {"name": "3659", "aimed": true, "p": 0.065, "T": [[0.0, -1.0, 0.0, -36.0], [1.0, 0.0, 0.0, -4.0], [0.0, 0.0, 1.0, 16.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch  1 x  4 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 1.5, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 4.02}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 24.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 2.0, "centre of mass offset from the grey centre, studs": 0.79}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 4.0 x 2.6", "how full that box is (1 = solid)": 0.16, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.38}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 3.98, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 28}, "where": {"joins the": "yellow Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.72, "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)": -0.68, "new piece": "Arch  1 x  4"}}}, {"name": "3701", "aimed": false, "p": 0.005, "T": [[-0.0, 1.0, 0.0, -28.0], [-1.0, -0.0, 0.0, -28.0], [0.0, 0.0, 1.0, -3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x4 with holes is stacked (studs into its underside) to a existing Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 1.5, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 4.46}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 24.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 2.8, "centre of mass offset from the grey centre, studs": 1.19}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 6, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 4.0 x 2.6", "how full that box is (1 = solid)": 0.16, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.12}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.945}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 8.0", "new piece distance from the build centre, studs": 4.56, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 28}, "where": {"joins the": "yellow Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.27, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.49, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.28, "new piece": "Technic Brick 1x4 with holes"}}}, {"name": "6091", "aimed": false, "p": 0.14, "T": [[0.0, -1.0, 0.0, -28.0], [1.0, 0.0, 0.0, -8.0], [0.0, 0.0, 1.0, 38.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  1 x  1.333 with Curved Top is stacked (studs into its underside) to a existing Slope Brick 45  2 x  2. It sits on top of the existing piece. 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": 10.4, "farthest point of red from the grey centre, studs": 2.33}, "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": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 22.4, "height the red adds above the grey top, mm": 11.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.19}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 2.8", "how full that box is (1 = solid)": 0.47, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.697}, "the whole build": {"build height after, mm": 57.6, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 4.12, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 28}, "where": {"joins the": "tan Slope Brick 45  2 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.14, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.23, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.32, "new piece": "Brick  2 x  1 x  1.333 with Curved Top"}}}, {"name": "6091", "aimed": false, "p": 0.03, "T": [[-1.0, -0.0, 0.0, 20.0], [0.0, -1.0, 0.0, 16.0], [0.0, 0.0, 1.0, 16.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  1 x  1.333 with Curved Top is stacked (studs into its underside) to a existing Slope Brick 45  2 x  1. It sits beside the existing piece, at the same height. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -8.8, "farthest point of red from the grey centre, studs": 2.8}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 0.4, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.51}, "openness": {"free studs on the pair": 1, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.46, "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)": 0.996}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 6.0", "new piece distance from the build centre, studs": 4.26, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 28}, "where": {"joins the": "tan Slope Brick 45  2 x  1", "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)": 0.79, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.29, "new piece": "Brick  2 x  1 x  1.333 with Curved Top"}}}]}
{"turn": 27, "might_be": "a skinny one heaving the fat one off", "next": "A small yellow plate under the yellow arch's left foot, tucked down, a second heel digging into the ground.", "want_piece": "plate", "want_on": "yellow", "taste": "a whole thin body heaving up against the weight on it", "pick": 1, "candidates": [{"name": "3024", "aimed": true, "p": 0.34, "T": [[-1.0, -0.0, 0.0, -36.0], [0.0, -1.0, 0.0, -16.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x1 is stacked (studs into its underside) to a existing Arch  1 x  4. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 1.44}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.07}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.52, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.88}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.145}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 4.12, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 29}, "where": {"joins the": "yellow Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.62, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.5, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.28, "new piece": "Plate 1x1"}}}, {"name": "3020", "aimed": false, "p": 0.385, "T": [[1.0, 0.0, 0.0, 0.0], [0.0, 1.0, 0.0, -4.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x4 is stacked (studs into its underside) to a existing Slope Brick 45  2 x  2. It sits underneath the existing piece. It hangs 16 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 2.49}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 4, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 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": 0.07}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.43, "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)": 0.784}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 2.41, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 29}, "where": {"joins the": "tan Slope Brick 45  2 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.19, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.22, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.07, "new piece": "Plate 2x4"}}}, {"name": "3747b", "aimed": false, "p": 0.01, "T": [[-1.0, -0.0, 0.0, -8.0], [0.0, -1.0, 0.0, -8.0], [0.0, 0.0, 1.0, 35.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 33  3 x  2 Inverted with Ribs between Studs is stacked (studs into its underside) to a existing Brick 1x4. 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 16 mm past the edge of the existing piece; 83% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 4.26}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 16.0, "share of red footprint not over the grey": 0.83}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 1.3, "centre of mass offset from the grey centre, studs": 1.3}, "openness": {"free studs on the pair": 9, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 3.0 x 2.6", "how full that box is (1 = solid)": 0.22, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.862}, "the whole build": {"build height after, mm": 56.0, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 3.21, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 29}, "where": {"joins the": "tan Brick 1x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.13, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.15, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.28, "new piece": "Slope Brick 33  3 x  2 Inverted with Ribs between Studs"}}}, {"name": "3024", "aimed": false, "p": 0.265, "T": [[-1.0, -0.0, 0.0, -36.0], [0.0, -1.0, 0.0, -16.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x1 is stacked (studs into its underside) to a existing Arch  1 x  4. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 1.44}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.07}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.52, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.88}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.145}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 4.12, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 29}, "where": {"joins the": "yellow Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.62, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.5, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.28, "new piece": "Plate 1x1"}}}]}
{"turn": 28, "might_be": "a skinny one heaving the fat one off", "next": "A yellow inverted slope on top of the new yellow plate under the tan lump, a shoulder wedged under its belly, lifting.", "want_piece": "slope", "want_on": "yellow", "taste": "the skinny one getting underneath the fat one to lift it", "pick": 0, "candidates": [{"name": "3747b", "aimed": true, "p": 0.875, "T": [[1.0, 0.0, 0.0, 8.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, -12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 33  3 x  2 Inverted with Ribs between Studs is stacked (studs into its underside) to a existing Plate 2x4. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 8 mm past the edge of the existing piece; 33% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 2.86}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.33}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 4, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 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": 0.71}, "openness": {"free studs on the pair": 10, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 3.0 x 1.8", "how full that box is (1 = solid)": 0.37, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.941}, "the whole build": {"build height after, mm": 49.6, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 3.31, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 30}, "where": {"joins the": "yellow Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.09, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.3, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.41, "new piece": "Slope Brick 33  3 x  2 Inverted with Ribs between Studs"}}}, {"name": "6091", "aimed": false, "p": 0.085, "T": [[-1.0, -0.0, 0.0, 4.0], [0.0, -1.0, 0.0, -8.0], [0.0, 0.0, 1.0, 19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  1 x  1.333 with Curved Top is stacked (studs into its underside) to a existing Plate 2x4. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 7.2, "farthest point of red from the grey centre, studs": 1.97}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 11.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.16}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 2.0", "how full that box is (1 = solid)": 0.3, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.88}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.5}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 1.42, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 30}, "where": {"joins the": "yellow Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.73, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.28, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.18, "new piece": "Brick  2 x  1 x  1.333 with Curved Top"}}}, {"name": "6091", "aimed": false, "p": 0.02, "T": [[1.0, 0.0, 0.0, 20.0], [0.0, 1.0, 0.0, -0.0], [0.0, 0.0, 1.0, 38.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  1 x  1.333 with Curved Top is stacked (studs into its underside) to a existing Brick 1x4. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 10.4, "farthest point of red from the grey centre, studs": 3.02}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 22.4, "height the red adds above the grey top, mm": 11.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.47}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 2.8", "how full that box is (1 = solid)": 0.24, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.38}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.406}, "the whole build": {"build height after, mm": 57.6, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 4.53, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 30}, "where": {"joins the": "tan Brick 1x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.14, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.56, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.45, "new piece": "Brick  2 x  1 x  1.333 with Curved Top"}}}, {"name": "3024", "aimed": false, "p": 0.02, "T": [[1.0, 0.0, 0.0, 28.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, -0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x1 is stacked (studs into its underside) to a existing Plate 1x2. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 1.32}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.17}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 1.0 x 1.0", "how full that box is (1 = solid)": 0.54, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.516}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 4.27, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 30}, "where": {"joins the": "tan Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.41, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.73, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.52, "new piece": "Plate 1x1"}}}]}
{"turn": 29, "might_be": "a skinny one heaving the fat one off", "next": "A small yellow brick standing under the yellow wedge, pushing down to the ground, the leg that does the lifting.", "want_piece": "brick", "want_on": "yellow", "taste": "a fight that changes partway through: shove, bonk, heave", "pick": 1, "candidates": [{"name": "3004", "aimed": true, "p": 0.26, "T": [[-1.0, -0.0, 0.0, 8.0], [0.0, -1.0, 0.0, -0.0], [0.0, 0.0, 1.0, -22.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  2 is stacked (studs into its underside) to a existing Slope Brick 33  3 x  2 Inverted with Ribs between Studs. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.67, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 2.62}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 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": 0.17}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.43, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.67}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.601}, "the whole build": {"build height after, mm": 59.2, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 4.25, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 31}, "where": {"joins the": "yellow Slope Brick 33  3 x  2 Inverted with Ribs between Studs", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.04, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.4, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.1, "new piece": "Brick  1 x  2"}}}, {"name": "3004", "aimed": true, "p": 0.385, "T": [[0.0, -1.0, 0.0, 4.0], [1.0, 0.0, 0.0, -4.0], [0.0, 0.0, 1.0, -22.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  2 is stacked (studs into its underside) to a existing Slope Brick 33  3 x  2 Inverted with Ribs between Studs. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.33, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 2.62}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 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": 0.15}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.43, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.67}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.601}, "the whole build": {"build height after, mm": 59.2, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 4.05, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 31}, "where": {"joins the": "yellow Slope Brick 33  3 x  2 Inverted with Ribs between Studs", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.04, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.29, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.15, "new piece": "Brick  1 x  2"}}}, {"name": "3004", "aimed": true, "p": 0.265, "T": [[-0.0, 1.0, 0.0, 4.0], [-1.0, -0.0, 0.0, 4.0], [0.0, 0.0, 1.0, -22.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  2 is stacked (studs into its underside) to a existing Slope Brick 33  3 x  2 Inverted with Ribs between Studs. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 3.3}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.34}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.32, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.33}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.601}, "the whole build": {"build height after, mm": 59.2, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 4.19, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 31}, "where": {"joins the": "yellow Slope Brick 33  3 x  2 Inverted with Ribs between Studs", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.04, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.37, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.12, "new piece": "Brick  1 x  2"}}}, {"name": "3004", "aimed": false, "p": 0.03, "T": [[-1.0, -0.0, 0.0, -8.0], [0.0, -1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 16.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  2 is stacked (studs into its underside) to a existing Plate 2x4. 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": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 2.59}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.41}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.32, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.639}, "the whole build": {"build height after, mm": 49.6, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 1.14, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 31}, "where": {"joins the": "yellow Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.74, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.13, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.23, "new piece": "Brick  1 x  2"}}}, {"name": "3024", "aimed": false, "p": 0.06, "T": [[0.0, -1.0, 0.0, -28.0], [1.0, 0.0, 0.0, -16.0], [0.0, 0.0, 1.0, 22.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x1 is stacked (studs into its underside) to a existing Arch  1 x  4. It sits on top of the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 2.25}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.21}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.52, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.62}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.145}, "the whole build": {"build height after, mm": 49.6, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 3.78, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 31}, "where": {"joins the": "yellow Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.9, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.36, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.12, "new piece": "Plate 1x1"}}}]}
{"turn": 30, "might_be": "a skinny one heaving the fat one off", "next": "A tiny yellow plate under the new yellow leg's bottom, a foot planted flat on the ground.", "want_piece": "plate", "want_on": "yellow", "taste": "a thin body getting under a fat one and lifting from below", "pick": 0, "candidates": [{"name": "3024", "aimed": true, "p": 0.46, "T": [[1.0, 0.0, 0.0, 4.0], [0.0, 1.0, 0.0, -8.0], [0.0, 0.0, 1.0, -32.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x1 is stacked (studs into its underside) to a existing Brick  1 x  2. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 1.57}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.1}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.57, "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)": 0.229}, "the whole build": {"build height after, mm": 62.4, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 4.89, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 32}, "where": {"joins the": "yellow Brick  1 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.0, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.25, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.28, "new piece": "Plate 1x1"}}}, {"name": "3024", "aimed": true, "p": 0.445, "T": [[1.0, 0.0, 0.0, 4.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, -32.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x1 is stacked (studs into its underside) to a existing Brick  1 x  2. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 1.57}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.1}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.57, "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)": 0.229}, "the whole build": {"build height after, mm": 62.4, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 4.9, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 32}, "where": {"joins the": "yellow Brick  1 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.0, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.33, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.02, "new piece": "Plate 1x1"}}}, {"name": "3666", "aimed": false, "p": 0.075, "T": [[-1.0, -0.0, 0.0, 24.0], [0.0, -1.0, 0.0, -8.0], [0.0, 0.0, 1.0, -32.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  6 is stacked (studs into its underside) to a existing Brick  1 x  2. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 40 mm past the edge of the existing piece; 83% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 2.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 5.7}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 40.0, "share of red footprint not over the grey": 0.83}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 7.7, "centre of mass offset from the grey centre, studs": 1.49}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.18, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.767}, "the whole build": {"build height after, mm": 62.4, "build footprint after, studs": "14.0 x 5.0", "new piece distance from the build centre, studs": 6.0, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 32}, "where": {"joins the": "yellow Brick  1 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.01, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.58, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.7, "new piece": "Plate  1 x  6"}}}, {"name": "6091", "aimed": false, "p": 0.01, "T": [[-1.0, -0.0, 0.0, -28.0], [0.0, -1.0, 0.0, -16.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  1 x  1.333 with Curved Top is stacked (studs into its underside) to a existing Arch  1 x  4. It sits beside the existing piece, at the same height. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -8.8, "farthest point of red from the grey centre, studs": 3.14}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 0.4, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.53}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.25, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.38}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.496}, "the whole build": {"build height after, mm": 59.2, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 3.4, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 32}, "where": {"joins the": "yellow Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.46, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.33, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.22, "new piece": "Brick  2 x  1 x  1.333 with Curved Top"}}}, {"name": "3622", "aimed": false, "p": 0.01, "T": [[1.0, 0.0, 0.0, 4.0], [0.0, 1.0, 0.0, -16.0], [0.0, 0.0, 1.0, 28.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  3 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 16 mm past the edge of the existing piece; 67% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.25, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 4.37}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.67}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.21}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.38, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.927}, "the whole build": {"build height after, mm": 62.4, "build footprint after, studs": "12.5 x 5.0", "new piece distance from the build centre, studs": 3.14, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 32}, "where": {"joins the": "yellow Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.99, "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)": 0.55, "new piece": "Brick  1 x  3"}}}]}