{"turn": 0, "forced": false, "might_be": "the Statue of Liberty", "next": "A wide spiky leaf-plant on the sand green head at the top middle, the crown's rays fanning out.", "want_piece": "round", "want_on": "sand green", "taste": "a heavy folded robe and a small bright flame held high", "pick": 0, "candidates": [{"name": "6255", "aimed": true, "p": 0.865, "T": [[1.0, 0.0, 0.0, 0.0], [0.0, 1.0, 0.0, -8.0], [0.0, 0.0, 1.0, 160.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plant  1 x  1 x  0.667 Round with 3 Large Leaves is stacked (studs into its underside) to a existing Plate  1 x  2 with Round Ends and 2 Open Studs. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 29 mm past the edge of the existing piece; 90% 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": 0.04, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.04, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.5, "farthest point of red from the grey centre, studs": 3.41}, "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": 10.0, "past the grey side, mm": 14.4, "share of red footprint not over the grey": 0.9}, "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": 20.6, "height the red adds above the grey top, mm": 15.8, "centre of mass 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": 1, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.6 x 4.4 x 2.6", "how full that box is (1 = solid)": 0.52, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.98}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.478}, "the whole build": {"build height after, mm": 171.0, "build footprint after, studs": "11.0 x 12.0", "new piece distance from the build centre, studs": 13.42, "build centre of mass outside the first piece footprint, mm": 21.6, "pieces in the build after": 105}, "where": {"joins the": "sand green Plate  1 x  2 with Round Ends and 2 Open Studs", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.07, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.13, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.08, "new piece": "Plant  1 x  1 x  0.667 Round with 3 Large Leaves"}}}, {"name": "6255", "aimed": true, "p": 0.05, "T": [[1.0, 0.0, 0.0, 0.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 160.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plant  1 x  1 x  0.667 Round with 3 Large Leaves is stacked (studs into its underside) to a existing Plate  1 x  2 with Round Ends and 2 Open Studs. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 29 mm past the edge of the existing piece; 90% 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": 1.04, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.04, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.5, "farthest point of red from the grey centre, studs": 3.78}, "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": 18.0, "past the grey side, mm": 14.4, "share of red footprint not over the grey": 0.9}, "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": 20.6, "height the red adds above the grey top, mm": 15.8, "centre of mass 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": 1, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.6 x 4.4 x 2.6", "how full that box is (1 = solid)": 0.52, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.478}, "the whole build": {"build height after, mm": 171.0, "build footprint after, studs": "11.0 x 12.0", "new piece distance from the build centre, studs": 13.44, "build centre of mass outside the first piece footprint, mm": 21.6, "pieces in the build after": 105}, "where": {"joins the": "sand green Plate  1 x  2 with Round Ends and 2 Open Studs", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.07, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.21, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.03, "new piece": "Plant  1 x  1 x  0.667 Round with 3 Large Leaves"}}}, {"name": "3298", "aimed": false, "p": 0.0, "T": [[1.0, 0.0, 0.0, -20.0], [0.0, 1.0, 0.0, 32.0], [0.0, 0.0, 1.0, 89.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 33  3 x  2 is stacked (studs into its underside) to a existing Tile  1 x  4 with Groove. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 16 mm past the edge of the existing piece; 83% of the new piece's footprint is not over the existing one. 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": -5.6, "farthest point of red from the grey centre, studs": 4.15}, "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": 12.8, "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)": 0.4, "centre of mass offset from the grey centre, studs": 1.5}, "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)": "5.0 x 3.0 x 1.6", "how full that box is (1 = solid)": 0.25, "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)": 0.444}, "the whole build": {"build height after, mm": 155.2, "build footprint after, studs": "11.0 x 12.0", "new piece distance from the build centre, studs": 5.4, "build centre of mass outside the first piece footprint, mm": 21.9, "pieces in the build after": 105}, "where": {"joins the": "sand green Tile  1 x  4 with Groove", "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)": 0.14, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.54, "new piece": "Slope Brick 33  3 x  2"}}}, {"name": "85861", "aimed": false, "p": 0.0, "T": [[-1.0, -0.0, 0.0, 0.0], [0.0, -1.0, 0.0, -24.0], [0.0, 0.0, 1.0, 3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round with Open Stud is stacked (studs into its underside) to a existing Wedge  2 x  6 Double Left. It sits beside the existing piece, at the same height. 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": 0.5, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 3.07}, "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": 0.6, "can swing on its pin": false}, "balance": {"pair height, mm": 11.2, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.13}, "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)": "6.0 x 2.0 x 1.4", "how full that box is (1 = solid)": 0.61, "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)": 0.042}, "the whole build": {"build height after, mm": 155.2, "build footprint after, studs": "11.0 x 12.0", "new piece distance from the build centre, studs": 7.48, "build centre of mass outside the first piece footprint, mm": 21.6, "pieces in the build after": 105}, "where": {"joins the": "sand green Wedge  2 x  6 Double Left", "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)": -0.04, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.31, "new piece": "Plate  1 x  1 Round with Open Stud"}}}, {"name": "3069b", "aimed": false, "p": 0.005, "T": [[0.0, -1.0, 0.0, -40.0], [1.0, 0.0, 0.0, -12.0], [0.0, 0.0, 1.0, 32.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Tile  1 x  2 with Groove is stacked (studs into its underside) to a existing Wedge  2 x  6 Double Left. 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": 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": 5.6, "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": 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": 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": 0.55}, "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)": "6.0 x 2.0 x 1.6", "how full that box is (1 = solid)": 0.56, "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)": 0.139}, "the whole build": {"build height after, mm": 155.2, "build footprint after, studs": "11.0 x 12.0", "new piece distance from the build centre, studs": 5.76, "build centre of mass outside the first piece footprint, mm": 21.6, "pieces in the build after": 105}, "where": {"joins the": "sand green Wedge  2 x  6 Double Left", "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)": -0.59, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.2, "new piece": "Tile  1 x  2 with Groove"}}}, {"name": "87087", "aimed": false, "p": 0.0, "T": [[-1.0, -0.0, 0.0, 16.0], [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  1 x  1 with Stud on 1 Side is stacked (studs into its underside) to a existing Wedge  2 x  6 Double Left. It sits underneath the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 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": 0.4, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 3.69}, "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": 1.2, "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": 3, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.36, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.45}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.211}, "the whole build": {"build height after, mm": 155.2, "build footprint after, studs": "11.0 x 12.0", "new piece distance from the build centre, studs": 7.23, "build centre of mass outside the first piece footprint, mm": 21.7, "pieces in the build after": 105}, "where": {"joins the": "sand green Wedge  2 x  6 Double Left", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.1, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.77, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.25, "new piece": "Brick  1 x  1 with Stud on 1 Side"}}}, {"name": "35480", "aimed": false, "p": 0.015, "T": [[1.0, 0.0, 0.0, -12.0], [0.0, 1.0, 0.0, 8.0], [0.0, 0.0, 1.0, 147.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  2 with Round Ends and 2 Open Studs is stacked (studs into its underside) to a existing Arch  1 x  3 x  2 Inverted. 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": 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": 11.2, "farthest point of red from the grey centre, studs": 2.43}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 24.0, "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": 0.38}, "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 3.0", "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)": 0.247}, "the whole build": {"build height after, mm": 155.2, "build footprint after, studs": "11.0 x 12.0", "new piece distance from the build centre, studs": 11.06, "build centre of mass outside the first piece footprint, mm": 21.6, "pieces in the build after": 105}, "where": {"joins the": "sand green Arch  1 x  3 x  2 Inverted", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.94, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.09, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.23, "new piece": "Plate  1 x  2 with Round Ends and 2 Open Studs"}}}]}
{"turn": 1, "forced": true, "might_be": "the Statue of Liberty", "next": "A flat sand-green 1x2 tile standing upright on the side stud of #98, on the left at the top, for her tablet.", "want_piece": "tile", "want_on": "sand green", "taste": "a leaf crown that grew instead of being cut", "pick": 4, "candidates": [{"name": "85861", "aimed": false, "p": 0.005, "T": [[-1.0, -0.0, 0.0, -24.0], [0.0, -1.0, 0.0, -32.0], [0.0, 0.0, 1.0, 89.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round with Open Stud is stacked (studs into its underside) to a existing Tile  1 x  4 with Groove. 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": -2.4, "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": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 6.4, "height the red adds above the grey top, mm": 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": 0, "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 0.8", "how full that box is (1 = solid)": 0.36, "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)": 0.148}, "the whole build": {"build height after, mm": 171.0, "build footprint after, studs": "11.0 x 12.0", "new piece distance from the build centre, studs": 5.41, "build centre of mass outside the first piece footprint, mm": 21.6, "pieces in the build after": 106}, "where": {"joins the": "sand green Tile  1 x  4 with Groove", "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)": -0.53, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.21, "new piece": "Plate  1 x  1 Round with Open Stud"}}}, {"name": "3747b", "aimed": false, "p": 0.01, "T": [[0.0, -1.0, -0.0, -24.0], [0.0, 0.0, -1.0, -37.6], [1.0, 0.0, 0.0, 124.8], [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 Brick  1 x  1 with Stud on 1 Side. It sits beside the existing piece, at the same height. It hangs 16 mm past the edge of the existing piece; 95% 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)": 2.0, "red centre across the grey, studs from its centre": 1.1, "red centre above the grey centre, mm": 4.0, "farthest point of red from the grey centre, studs": 3.33}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.0, "past the grey side, mm": 9.6, "share of red footprint not over the grey": 0.95}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.2, "can swing on its pin": false}, "balance": {"pair height, mm": 17.6, "height the red adds above the grey top, mm": 6.4, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 5.6, "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)": "3.0 x 2.4 x 2.2", "how full that box is (1 = solid)": 0.38, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.26}, "the whole build": {"build height after, mm": 171.0, "build footprint after, studs": "11.0 x 12.0", "new piece distance from the build centre, studs": 8.97, "build centre of mass outside the first piece footprint, mm": 21.2, "pieces in the build after": 106}, "where": {"joins the": "sand green Brick  1 x  1 with Stud on 1 Side", "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)": -0.41, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.34, "new piece": "Slope Brick 33  3 x  2 Inverted with Ribs between Studs"}}}, {"name": "87087", "aimed": false, "p": 0.02, "T": [[-0.0, 1.0, 0.0, -24.0], [-1.0, -0.0, 0.0, 40.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  1 with Stud on 1 Side is stacked (studs into its underside) to a existing Arch  1 x  3 x  2 Inverted. It sits beside the existing piece, at the same height. 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": 0.9, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.6, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -4.8, "farthest point of red from the grey centre, studs": 2.05}, "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": 2, "touching area, square studs": 1.68, "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": 0.04}, "openness": {"free studs on the pair": 1, "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 1.0 x 2.6", "how full that box is (1 = solid)": 0.73, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.7}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.336}, "the whole build": {"build height after, mm": 171.0, "build footprint after, studs": "11.0 x 12.0", "new piece distance from the build centre, studs": 9.21, "build centre of mass outside the first piece footprint, mm": 21.7, "pieces in the build after": 106}, "where": {"joins the": "sand green Arch  1 x  3 x  2 Inverted", "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)": 0.18, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.8, "new piece": "Brick  1 x  1 with Stud on 1 Side"}}}, {"name": "87087", "aimed": false, "p": 0.01, "T": [[-0.0, 1.0, 0.0, 16.0], [-1.0, -0.0, 0.0, 8.0], [0.0, 0.0, 1.0, 28.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  1 with Stud on 1 Side is stacked (studs into its underside) to a existing Wedge  2 x  6 Double Left. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 2 mm past the edge of the existing piece; 17% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.83, "red centre across the grey, studs from its centre": 0.6, "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, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 1.6, "share of red footprint not over the grey": 0.17}, "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": 0.67}, "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)": "6.0 x 2.2 x 2.6", "how full that box is (1 = solid)": 0.32, "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)": 0.27}, "the whole build": {"build height after, mm": 171.0, "build footprint after, studs": "11.0 x 12.0", "new piece distance from the build centre, studs": 5.18, "build centre of mass outside the first piece footprint, mm": 21.6, "pieces in the build after": 106}, "where": {"joins the": "sand green Wedge  2 x  6 Double Left", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.15, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.52, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.02, "new piece": "Brick  1 x  1 with Stud on 1 Side"}}}, {"name": "3069b", "aimed": true, "p": 0.105, "T": [[0.0, -1.0, 0.0, -24.0], [1.0, 0.0, 0.0, -28.0], [0.0, 0.0, 1.0, 51.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Tile  1 x  2 with Groove is stacked (studs into its underside) to a existing Slope Brick 33  3 x  2 Inverted with Ribs between Studs. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 5.6, "farthest point of red from the grey centre, studs": 2.84}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 12.8, "height the red adds above the grey top, mm": 1.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.09}, "openness": {"free studs on the pair": 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 1.6", "how full that box is (1 = solid)": 0.44, "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)": 0.213}, "the whole build": {"build height after, mm": 171.0, "build footprint after, studs": "11.0 x 12.0", "new piece distance from the build centre, studs": 3.92, "build centre of mass outside the first piece footprint, mm": 21.5, "pieces in the build after": 106}, "where": {"joins the": "sand green 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)": 0.29, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.49, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.16, "new piece": "Tile  1 x  2 with Groove"}}}, {"name": "3069b", "aimed": true, "p": 0.1, "T": [[-1.0, -0.0, 0.0, 20.0], [0.0, -1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 92.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Tile  1 x  2 with Groove is stacked (studs into its underside) to a existing Arch  1 x  3 x  2 Inverted. 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": 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": 2.6}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 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": 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": 0.36}, "openness": {"free studs on the pair": 0, "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)": 0.31, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.42}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.258}, "the whole build": {"build height after, mm": 171.0, "build footprint after, studs": "11.0 x 12.0", "new piece distance from the build centre, studs": 4.97, "build centre of mass outside the first piece footprint, mm": 21.6, "pieces in the build after": 106}, "where": {"joins the": "sand green Arch  1 x  3 x  2 Inverted", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.53, "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)": 0.15, "new piece": "Tile  1 x  2 with Groove"}}}, {"name": "3069b", "aimed": true, "p": 0.08, "T": [[1.0, 0.0, 0.0, 4.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 137.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Tile  1 x  2 with Groove is stacked (studs into its underside) to a existing Slope Brick 33  3 x  2 Inverted with Ribs between Studs. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It 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": 5.6, "farthest point of red from the grey centre, studs": 2.01}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 12.8, "height the red adds above the grey top, mm": 1.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.11}, "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 1.6", "how full that box is (1 = solid)": 0.59, "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)": 0.228}, "the whole build": {"build height after, mm": 171.0, "build footprint after, studs": "11.0 x 12.0", "new piece distance from the build centre, studs": 9.48, "build centre of mass outside the first piece footprint, mm": 21.6, "pieces in the build after": 106}, "where": {"joins the": "sand green 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)": 0.79, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.28, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.01, "new piece": "Tile  1 x  2 with Groove"}}}, {"name": "98138", "aimed": false, "p": 0.005, "T": [[-0.0, 1.0, 0.0, -7.927], [-1.0, -0.0, 0.0, -8.0], [0.0, 0.0, 1.0, 137.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Tile  1 x  1 Round with Groove is stacked (studs into its underside) to a existing Slope Brick 33  3 x  2 Inverted with Ribs between Studs. 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": 0.99, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.66, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 5.6, "farthest point of red from the grey centre, studs": 1.84}, "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": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 12.8, "height the red adds above the grey top, mm": 1.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.23}, "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 1.6", "how full that box is (1 = solid)": 0.55, "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)": 0.094}, "the whole build": {"build height after, mm": 171.0, "build footprint after, studs": "11.0 x 12.0", "new piece distance from the build centre, studs": 9.41, "build centre of mass outside the first piece footprint, mm": 21.6, "pieces in the build after": 106}, "where": {"joins the": "sand green 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)": 0.79, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.01, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.02, "new piece": "Tile  1 x  1 Round with Groove"}}}]}
{"turn": 2, "forced": false, "might_be": "the Statue of Liberty", "next": "Move the loose tile from the bottom left up onto #98's side stud, standing upright at her left as the tablet.", "want_piece": "tile", "want_on": "sand green", "taste": "a green robe that grows a leafy crown, and one small hot flame", "pick": 5, "candidates": [{"name": "85861", "aimed": false, "p": 0.005, "T": [[0.0, -1.0, 0.0, -40.0], [1.0, 0.0, 0.0, 24.0], [0.0, 0.0, 1.0, 32.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round with Open Stud is stacked (studs into its underside) to a existing Slope Brick 33  3 x  2 Inverted with Ribs between Studs. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 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": 1.36}, "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": 0.16}, "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)": "3.0 x 2.0 x 1.8", "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)": 0.065}, "the whole build": {"build height after, mm": 171.0, "build footprint after, studs": "11.0 x 12.0", "new piece distance from the build centre, studs": 6.81, "build centre of mass outside the first piece footprint, mm": 21.6, "pieces in the build after": 107}, "where": {"joins the": "sand green 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)": 0.18, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.21, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.69, "new piece": "Plate  1 x  1 Round with Open Stud"}}}, {"name": "85861", "aimed": false, "p": 0.01, "T": [[0.0, -1.0, 0.0, 0.0], [1.0, 0.0, 0.0, -16.0], [0.0, 0.0, 1.0, 3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  1 Round with Open Stud is stacked (studs into its underside) to a existing Plate 1x1. It sits beside the existing piece, at the same height. It does not hang past the existing piece anywhere. 6 of its six sides line 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": 0.0, "farthest point of red from the grey centre, studs": 0.51}, "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": 0.6, "can swing on its pin": false}, "balance": {"pair height, mm": 4.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.0}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "1.0 x 1.0 x 0.6", "how full that box is (1 = solid)": 0.9, "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)": 0.471}, "the whole build": {"build height after, mm": 171.0, "build footprint after, studs": "11.0 x 12.0", "new piece distance from the build centre, studs": 7.43, "build centre of mass outside the first piece footprint, mm": 21.5, "pieces in the build after": 107}, "where": {"joins the": "sand green Plate 1x1", "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)": 0.04, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.2, "new piece": "Plate  1 x  1 Round with Open Stud"}}}, {"name": "87087", "aimed": false, "p": 0.02, "T": [[-0.0, 1.0, 0.0, -40.0], [-1.0, -0.0, 0.0, 16.0], [0.0, 0.0, 1.0, 38.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  1 with Stud on 1 Side is stacked (studs into its underside) to a existing Slope Brick 33  3 x  2 Inverted with Ribs between Studs. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 2 mm past the edge of the existing piece; 17% 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)": 0.67, "red centre across the grey, studs from its centre": 0.6, "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": 1.6, "share of red footprint not over the grey": 0.17}, "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": 0.17}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 2.2 x 2.6", "how full that box is (1 = solid)": 0.35, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.47}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.324}, "the whole build": {"build height after, mm": 171.0, "build footprint after, studs": "11.2 x 12.0", "new piece distance from the build centre, studs": 6.28, "build centre of mass outside the first piece footprint, mm": 21.6, "pieces in the build after": 107}, "where": {"joins the": "sand green 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)": 0.21, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.34, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.61, "new piece": "Brick  1 x  1 with Stud on 1 Side"}}}, {"name": "87087", "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, 144.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  1 with Stud on 1 Side is stacked (studs into its underside) to a existing Slope Brick 33  3 x  2 Inverted with Ribs between Studs. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 2 mm past the edge of the existing piece; 17% 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)": 0.67, "red centre across the grey, studs from its centre": 0.6, "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": 1.6, "share of red footprint not over the grey": 0.17}, "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": 0.36}, "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)": "3.0 x 2.2 x 2.6", "how full that box is (1 = solid)": 0.35, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.47}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.346}, "the whole build": {"build height after, mm": 171.0, "build footprint after, studs": "11.0 x 12.0", "new piece distance from the build centre, studs": 10.04, "build centre of mass outside the first piece footprint, mm": 21.5, "pieces in the build after": 107}, "where": {"joins the": "sand green 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)": 0.82, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.04, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.06, "new piece": "Brick  1 x  1 with Stud on 1 Side"}}}, {"name": "3069b", "aimed": true, "p": 0.025, "T": [[-0.0, 1.0, 0.0, -40.0], [-1.0, -0.0, 0.0, 20.0], [0.0, 0.0, 1.0, 32.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Tile  1 x  2 with Groove is stacked (studs into its underside) to a existing Slope Brick 33  3 x  2 Inverted with Ribs between Studs. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It 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": 5.6, "farthest point of red from the grey centre, studs": 2.01}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 12.8, "height the red adds above the grey top, mm": 1.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.11}, "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 1.6", "how full that box is (1 = solid)": 0.59, "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)": 0.213}, "the whole build": {"build height after, mm": 171.0, "build footprint after, studs": "11.0 x 12.0", "new piece distance from the build centre, studs": 6.67, "build centre of mass outside the first piece footprint, mm": 21.6, "pieces in the build after": 107}, "where": {"joins the": "sand green 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)": 0.17, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.26, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.64, "new piece": "Tile  1 x  2 with Groove"}}}, {"name": "3069b", "aimed": true, "p": 0.75, "T": [[-0.0, 1.0, 0.0, 8.0], [0.0, 0.0, -1.0, -39.2], [-1.0, -0.0, -0.0, 14.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Tile  1 x  2 with Groove is stacked (studs into its underside) to a existing Brick  1 x  1 with Stud on 1 Side. The new piece stands upright. It sits beside the existing piece, at the same height. It hangs 2 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": 0.6, "red centre above the grey centre, mm": -4.0, "farthest point of red from the grey centre, studs": 1.77}, "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": 1.6, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.2, "can swing on its pin": false}, "balance": {"pair height, mm": 17.6, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.35}, "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)": "1.4 x 1.0 x 2.2", "how full that box is (1 = solid)": 0.52, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.73}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.659}, "the whole build": {"build height after, mm": 171.0, "build footprint after, studs": "11.0 x 12.0", "new piece distance from the build centre, studs": 7.18, "build centre of mass outside the first piece footprint, mm": 21.5, "pieces in the build after": 107}, "where": {"joins the": "sand green Brick  1 x  1 with Stud on 1 Side", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.08, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.04, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.55, "new piece": "Tile  1 x  2 with Groove"}}}, {"name": "3069b", "aimed": true, "p": 0.02, "T": [[1.0, 0.0, 0.0, -12.0], [0.0, 1.0, 0.0, -8.0], [0.0, 0.0, 1.0, 137.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Tile  1 x  2 with Groove is stacked (studs into its underside) to a existing Slope Brick 33  3 x  2 Inverted with Ribs between Studs. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 5.6, "farthest point of red from the grey centre, studs": 2.84}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 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": 0.36}, "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 1.6", "how full that box is (1 = solid)": 0.44, "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)": 0.228}, "the whole build": {"build height after, mm": 171.0, "build footprint after, studs": "11.0 x 12.0", "new piece distance from the build centre, studs": 9.35, "build centre of mass outside the first piece footprint, mm": 21.5, "pieces in the build after": 107}, "where": {"joins the": "sand green 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)": 0.79, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.08, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.01, "new piece": "Tile  1 x  2 with Groove"}}}, {"name": "3069b", "aimed": true, "p": 0.02, "T": [[1.0, 0.0, 0.0, -28.0], [0.0, 1.0, 0.0, -24.0], [0.0, 0.0, 1.0, 51.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Tile  1 x  2 with Groove is stacked (studs into its underside) to a existing Slope Brick 33  3 x  2 Inverted with Ribs between Studs. 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": 1.0, "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": 5.6, "farthest point of red from the grey centre, studs": 2.01}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 12.8, "height the red adds above the grey top, mm": 1.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.01}, "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 1.6", "how full that box is (1 = solid)": 0.59, "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)": 0.213}, "the whole build": {"build height after, mm": 171.0, "build footprint after, studs": "11.0 x 12.0", "new piece distance from the build centre, studs": 3.93, "build centre of mass outside the first piece footprint, mm": 21.5, "pieces in the build after": 107}, "where": {"joins the": "sand green 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)": 0.29, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.52, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.07, "new piece": "Tile  1 x  2 with Groove"}}}]}