{"turn": 0, "might_be": "a bonsai with one crooked branch", "next": "A brown arch on top of the trunk, reaching right, like the trunk bending over.", "want_piece": "arch", "want_on": "brown", "taste": "a trunk that bends like it took a hundred years", "pick": 0, "candidates": [{"name": "3659", "aimed": true, "p": 0.475, "T": [[1.0, 0.0, 0.0, 12.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch  1 x  4 is stacked (studs into its underside) to a existing Brick  1 x  1 Round with Hollow Stud. 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": 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": 9.6, "farthest point of red from the grey centre, studs": 3.92}, "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": 24.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 5.5, "centre of mass offset from the grey centre, studs": 1.18}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.38, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "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)": 0.22}, "the whole build": {"build height after, mm": 20.8, "build footprint after, studs": "4.0 x 1.0", "new piece distance from the build centre, studs": 2.0, "build centre of mass outside the first piece footprint, mm": 5.5, "pieces in the build after": 2}, "where": {"joins the": "brown Brick  1 x  1 Round with Hollow Stud", "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)": 2.55, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 1.59, "new piece": "Arch  1 x  4"}}}, {"name": "3659", "aimed": true, "p": 0.36, "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 Arch  1 x  4 is stacked (studs into its underside) to a existing Brick  1 x  1 Round with Hollow Stud. 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)": 5.5, "centre of mass offset from the grey centre, studs": 1.18}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.38, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "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)": 0.22}, "the whole build": {"build height after, mm": 20.8, "build footprint after, studs": "1.0 x 4.0", "new piece distance from the build centre, studs": 2.0, "build centre of mass outside the first piece footprint, mm": 5.5, "pieces in the build after": 2}, "where": {"joins the": "brown Brick  1 x  1 Round with Hollow Stud", "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)": 1.59, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -2.55, "new piece": "Arch  1 x  4"}}}, {"name": "3659", "aimed": true, "p": 0.1, "T": [[-1.0, -0.0, 0.0, -12.0], [0.0, -1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch  1 x  4 is stacked (studs into its underside) to a existing Brick  1 x  1 Round with Hollow Stud. 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": 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": 9.6, "farthest point of red from the grey centre, studs": 3.92}, "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": 24.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 5.5, "centre of mass offset from the grey centre, studs": 1.18}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.38, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "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)": 0.22}, "the whole build": {"build height after, mm": 20.8, "build footprint after, studs": "4.0 x 1.0", "new piece distance from the build centre, studs": 2.0, "build centre of mass outside the first piece footprint, mm": 5.5, "pieces in the build after": 2}, "where": {"joins the": "brown Brick  1 x  1 Round with Hollow Stud", "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)": -2.55, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -1.59, "new piece": "Arch  1 x  4"}}}, {"name": "3659", "aimed": false, "p": 0.005, "T": [[1.0, 0.0, 0.0, -20.0], [0.0, 1.0, 0.0, 24.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch  1 x  4 is stacked (studs into its underside) to a existing Baseplate 16 x 16. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.12, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 5.6, "farthest point of red from the grey centre, studs": 3.38}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 4, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 12.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.04}, "openness": {"free studs on the pair": 256, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "16.0 x 16.0 x 1.6", "how full that box is (1 = solid)": 0.16, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.91}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.04}, "the whole build": {"build height after, mm": 11.2, "build footprint after, studs": "5.0 x 4.0", "new piece distance from the build centre, studs": 3.91, "build centre of mass outside the first piece footprint, mm": 19.0, "pieces in the build after": 2}, "where": {"joins the": "invisible Baseplate 16 x 16", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.69, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -1.07, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -7.75, "new piece": "Arch  1 x  4"}}}, {"name": "3040b", "aimed": false, "p": 0.02, "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 Slope Brick 45  2 x  1 is stacked (studs into its underside) to a existing Brick  1 x  1 Round with Hollow Stud. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 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": 1.92}, "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": 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": 0.24}, "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 2.6", "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)": 0.445}, "the whole build": {"build height after, mm": 20.8, "build footprint after, studs": "1.0 x 2.0", "new piece distance from the build centre, studs": 1.12, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "brown Brick  1 x  1 Round with Hollow Stud", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.36, "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)": 0.61, "new piece": "Slope Brick 45  2 x  1"}}}, {"name": "3040b", "aimed": false, "p": 0.005, "T": [[-1.0, -0.0, 0.0, -32.0], [0.0, -1.0, 0.0, -16.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  1 is stacked (studs into its underside) to a existing Baseplate 16 x 16. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.06, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 5.6, "farthest point of red from the grey centre, studs": 2.24}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 12.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.02}, "openness": {"free studs on the pair": 255, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "16.0 x 16.0 x 1.6", "how full that box is (1 = solid)": 0.15, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.91}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.02}, "the whole build": {"build height after, mm": 11.2, "build footprint after, studs": "5.0 x 3.0", "new piece distance from the build centre, studs": 4.33, "build centre of mass outside the first piece footprint, mm": 17.9, "pieces in the build after": 2}, "where": {"joins the": "invisible Baseplate 16 x 16", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.5, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -8.54, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -1.45, "new piece": "Slope Brick 45  2 x  1"}}}, {"name": "3040b", "aimed": false, "p": 0.0, "T": [[1.0, 0.0, 0.0, -32.0], [0.0, 1.0, 0.0, -16.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  1 is stacked (studs into its underside) to a existing Baseplate 16 x 16. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.06, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 5.6, "farthest point of red from the grey centre, studs": 1.85}, "angle": {"angle between the long axes seen from above, degrees": 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": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.01}, "openness": {"free studs on the pair": 255, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "16.0 x 16.0 x 1.6", "how full that box is (1 = solid)": 0.15, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.97}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.02}, "the whole build": {"build height after, mm": 11.2, "build footprint after, studs": "5.0 x 4.0", "new piece distance from the build centre, studs": 4.65, "build centre of mass outside the first piece footprint, mm": 19.2, "pieces in the build after": 2}, "where": {"joins the": "invisible Baseplate 16 x 16", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.5, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -9.3, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.23, "new piece": "Slope Brick 45  2 x  1"}}}]}
{"turn": 1, "might_be": "a cascade bonsai", "next": "A small green slope on top of the brown arch's right end, a tuft of leaves on the reaching branch.", "want_piece": "slope", "want_on": "brown", "taste": "a branch reaching out over nothing, leaves only at its tip", "pick": 6, "candidates": [{"name": "3040b", "aimed": true, "p": 0.03, "T": [[-0.0, 1.0, 0.0, 24.0], [-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 Slope Brick 45  2 x  1 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 2.67}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.4}, "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 2.6", "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)": 0.55}, "the whole build": {"build height after, mm": 30.4, "build footprint after, studs": "4.0 x 1.0", "new piece distance from the build centre, studs": 2.48, "build centre of mass outside the first piece footprint, mm": 8.9, "pieces in the build after": 3}, "where": {"joins the": "brown Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.19, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.49, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.41, "new piece": "Slope Brick 45  2 x  1"}}}, {"name": "3040b", "aimed": true, "p": 0.09, "T": [[1.0, 0.0, 0.0, 24.0], [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 Slope Brick 45  2 x  1 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 3.02}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.57}, "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)": 0.24, "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)": 0.494}, "the whole build": {"build height after, mm": 30.4, "build footprint after, studs": "4.0 x 2.0", "new piece distance from the build centre, studs": 2.83, "build centre of mass outside the first piece footprint, mm": 9.7, "pieces in the build after": 3}, "where": {"joins the": "brown Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.19, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.82, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.17, "new piece": "Slope Brick 45  2 x  1"}}}, {"name": "3040b", "aimed": true, "p": 0.085, "T": [[0.0, -1.0, 0.0, 16.0], [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 Slope Brick 45  2 x  1 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 2.18}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 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": 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 2.6", "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)": 0.434}, "the whole build": {"build height after, mm": 30.4, "build footprint after, studs": "4.0 x 1.0", "new piece distance from the build centre, studs": 2.27, "build centre of mass outside the first piece footprint, mm": 8.2, "pieces in the build after": 3}, "where": {"joins the": "brown Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.19, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.37, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.31, "new piece": "Slope Brick 45  2 x  1"}}}, {"name": "3023", "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, -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 Baseplate 16 x 16. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 2.4, "farthest point of red from the grey centre, studs": 1.47}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 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": 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": 0.01}, "openness": {"free studs on the pair": 256, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "16.0 x 16.0 x 0.8", "how full that box is (1 = solid)": 0.3, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.97}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.011}, "the whole build": {"build height after, mm": 20.8, "build footprint after, studs": "4.0 x 5.0", "new piece distance from the build centre, studs": 4.52, "build centre of mass outside the first piece footprint, mm": 7.9, "pieces in the build after": 3}, "where": {"joins the": "invisible Baseplate 16 x 16", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.13, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.65, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 2.65, "new piece": "Plate 1x2"}}}, {"name": "3023", "aimed": false, "p": 0.0, "T": [[1.0, 0.0, 0.0, -4.0], [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 1x2 is stacked (studs into its underside) to a existing Baseplate 16 x 16. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.12, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 2.4, "farthest point of red from the grey centre, studs": 2.27}, "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": 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": 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": 0.01}, "openness": {"free studs on the pair": 256, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "16.0 x 16.0 x 0.8", "how full that box is (1 = solid)": 0.3, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.91}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.011}, "the whole build": {"build height after, mm": 20.8, "build footprint after, studs": "5.0 x 3.0", "new piece distance from the build centre, studs": 2.63, "build centre of mass outside the first piece footprint, mm": 2.8, "pieces in the build after": 3}, "where": {"joins the": "invisible Baseplate 16 x 16", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.13, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.33, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -1.86, "new piece": "Plate 1x2"}}}, {"name": "3024", "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, -6.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x1 is stacked (studs into its underside) to a existing Baseplate 16 x 16. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.06, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 2.4, "farthest point of red from the grey centre, studs": 1.47}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 6.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.0}, "openness": {"free studs on the pair": 256, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "16.0 x 16.0 x 0.8", "how full that box is (1 = solid)": 0.3, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.94}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.006}, "the whole build": {"build height after, mm": 20.8, "build footprint after, studs": "4.0 x 3.0", "new piece distance from the build centre, studs": 2.61, "build centre of mass outside the first piece footprint, mm": 6.2, "pieces in the build after": 3}, "where": {"joins the": "invisible Baseplate 16 x 16", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.15, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.76, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.97, "new piece": "Plate 1x1"}}}, {"name": "3040b", "aimed": false, "p": 0.675, "T": [[-0.0, 1.0, 0.0, 32.0], [-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 Slope Brick 45  2 x  1 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 3.48}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.74}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.39, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.573}, "the whole build": {"build height after, mm": 30.4, "build footprint after, studs": "5.0 x 1.0", "new piece distance from the build centre, studs": 3.3, "build centre of mass outside the first piece footprint, mm": 11.3, "pieces in the build after": 3}, "where": {"joins the": "brown Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.19, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.93, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.76, "new piece": "Slope Brick 45  2 x  1"}}}]}
{"turn": 2, "might_be": "an old bonsai with a hollow trunk", "next": "A small green plate on the left end of the brown arch, a second flat leaf pad, lower and smaller.", "want_piece": "plate", "want_on": "brown", "taste": "an old trunk with a hole worn through it, reaching sideways", "pick": 2, "candidates": [{"name": "3023", "aimed": true, "p": 0.165, "T": [[1.0, 0.0, 0.0, 4.0], [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 Arch  1 x  4. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 2.25}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 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": 0.24}, "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)": 0.75}}, "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)": 0.281}, "the whole build": {"build height after, mm": 30.4, "build footprint after, studs": "5.0 x 1.0", "new piece distance from the build centre, studs": 1.4, "build centre of mass outside the first piece footprint, mm": 9.6, "pieces in the build after": 4}, "where": {"joins the": "brown 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)": -0.53, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.45, "new piece": "Plate 1x2"}}}, {"name": "3023", "aimed": true, "p": 0.15, "T": [[0.0, -1.0, 0.0, 0.0], [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 Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 2.66}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.38}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.28, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.38}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.281}, "the whole build": {"build height after, mm": 30.4, "build footprint after, studs": "5.0 x 2.0", "new piece distance from the build centre, studs": 1.92, "build centre of mass outside the first piece footprint, mm": 9.0, "pieces in the build after": 4}, "where": {"joins the": "brown 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)": -0.6, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.85, "new piece": "Plate 1x2"}}}, {"name": "3023", "aimed": true, "p": 0.505, "T": [[-1.0, -0.0, 0.0, -4.0], [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 Arch  1 x  4. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 3.17}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.48}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.45, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.281}, "the whole build": {"build height after, mm": 30.4, "build footprint after, studs": "6.0 x 1.0", "new piece distance from the build centre, studs": 2.32, "build centre of mass outside the first piece footprint, mm": 8.4, "pieces in the build after": 4}, "where": {"joins the": "brown 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)": -0.89, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.76, "new piece": "Plate 1x2"}}}, {"name": "3659", "aimed": false, "p": 0.005, "T": [[-1.0, -0.0, 0.0, 60.0], [0.0, -1.0, 0.0, 32.0], [0.0, 0.0, 1.0, 0.0], [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 Baseplate 16 x 16. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 5.6, "farthest point of red from the grey centre, studs": 4.29}, "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": 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": 12.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.08}, "openness": {"free studs on the pair": 256, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "16.0 x 16.0 x 1.6", "how full that box is (1 = solid)": 0.16, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.85}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.04}, "the whole build": {"build height after, mm": 30.4, "build footprint after, studs": "10.0 x 5.0", "new piece distance from the build centre, studs": 7.11, "build centre of mass outside the first piece footprint, mm": 28.2, "pieces in the build after": 4}, "where": {"joins the": "invisible Baseplate 16 x 16", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.25, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 2.84, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.28, "new piece": "Arch  1 x  4"}}}, {"name": "3005", "aimed": false, "p": 0.005, "T": [[-0.0, 1.0, 0.0, 32.0], [-1.0, -0.0, 0.0, -0.0], [0.0, 0.0, 1.0, 28.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  1 is stacked (studs into its underside) to a existing Slope Brick 45  2 x  1. 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": 9.6, "farthest point of red from the grey centre, studs": 2.06}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.28}, "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 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)": 0.591}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "5.0 x 1.0", "new piece distance from the build centre, studs": 3.48, "build centre of mass outside the first piece footprint, mm": 14.0, "pieces in the build after": 4}, "where": {"joins the": "green Slope Brick 45  2 x  1", "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)": 0.71, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.61, "new piece": "Brick  1 x  1"}}}, {"name": "3710", "aimed": false, "p": 0.01, "T": [[-0.0, 1.0, 0.0, 56.0], [-1.0, -0.0, 0.0, -36.0], [0.0, 0.0, 1.0, -6.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x4 is stacked (studs into its underside) to a existing Baseplate 16 x 16. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.06, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 2.4, "farthest point of red from the grey centre, studs": 2.27}, "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": 4, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 6.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.01}, "openness": {"free studs on the pair": 256, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "16.0 x 16.0 x 0.8", "how full that box is (1 = solid)": 0.31, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.97}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.022}, "the whole build": {"build height after, mm": 30.4, "build footprint after, studs": "8.0 x 7.0", "new piece distance from the build centre, studs": 7.15, "build centre of mass outside the first piece footprint, mm": 22.2, "pieces in the build after": 4}, "where": {"joins the": "invisible Baseplate 16 x 16", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.08, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.78, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 3.7, "new piece": "Plate 1x4"}}}]}
{"turn": 3, "might_be": "an old bonsai with a hollow trunk", "next": "A small brown 1x1 brick on the middle of the brown arch, a short trunk rising toward a top pad.", "want_piece": "brick", "want_on": "brown", "taste": "a hollow old trunk holding small green pads at different heights", "pick": 0, "candidates": [{"name": "3005", "aimed": true, "p": 0.6, "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 Brick  1 x  1 is stacked (studs into its underside) to a existing Arch  1 x  4. The new piece stands upright. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 2.06}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.13}, "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 2.6", "how full that box is (1 = solid)": 0.4, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.88}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.339}, "the whole build": {"build height after, mm": 30.4, "build footprint after, studs": "6.0 x 1.0", "new piece distance from the build centre, studs": 1.26, "build centre of mass outside the first piece footprint, mm": 7.8, "pieces in the build after": 5}, "where": {"joins the": "brown Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.91, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.15, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.13, "new piece": "Brick  1 x  1"}}}, {"name": "3005", "aimed": true, "p": 0.36, "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 Brick  1 x  1 is stacked (studs into its underside) to a existing Arch  1 x  4. The new piece stands upright. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 2.06}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.13}, "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 2.6", "how full that box is (1 = solid)": 0.4, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.88}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.339}, "the whole build": {"build height after, mm": 30.4, "build footprint after, studs": "6.0 x 1.0", "new piece distance from the build centre, studs": 1.5, "build centre of mass outside the first piece footprint, mm": 8.9, "pieces in the build after": 5}, "where": {"joins the": "brown Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.91, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.15, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.13, "new piece": "Brick  1 x  1"}}}, {"name": "3659", "aimed": false, "p": 0.0, "T": [[1.0, 0.0, 0.0, 20.0], [0.0, 1.0, 0.0, -0.0], [0.0, 0.0, 1.0, 28.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch  1 x  4 is stacked (studs into its underside) to a existing Slope Brick 45  2 x  1. 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": 9.6, "farthest point of red from the grey centre, studs": 3.48}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 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": 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": 0.6}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.48, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "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)": 0.573}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "6.0 x 1.0", "new piece distance from the build centre, studs": 2.71, "build centre of mass outside the first piece footprint, mm": 10.8, "pieces in the build after": 5}, "where": {"joins the": "green Slope Brick 45  2 x  1", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.2, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.3, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.26, "new piece": "Arch  1 x  4"}}}, {"name": "3659", "aimed": false, "p": 0.005, "T": [[0.0, -1.0, 0.0, 40.0], [1.0, 0.0, 0.0, 28.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch  1 x  4 is stacked (studs into its underside) to a existing Baseplate 16 x 16. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.06, "red centre across the grey, studs from its centre": 2.0, "red centre above the grey centre, mm": 5.6, "farthest point of red from the grey centre, studs": 4.29}, "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": 4, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 12.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.08}, "openness": {"free studs on the pair": 256, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "16.0 x 16.0 x 1.6", "how full that box is (1 = solid)": 0.16, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.85}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.04}, "the whole build": {"build height after, mm": 30.4, "build footprint after, studs": "7.0 x 6.0", "new piece distance from the build centre, studs": 5.34, "build centre of mass outside the first piece footprint, mm": 18.0, "pieces in the build after": 5}, "where": {"joins the": "invisible Baseplate 16 x 16", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.25, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 1.72, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.56, "new piece": "Arch  1 x  4"}}}, {"name": "3024", "aimed": false, "p": 0.01, "T": [[1.0, 0.0, 0.0, -8.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new 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": 30.4, "build footprint after, studs": "6.0 x 1.0", "new piece distance from the build centre, studs": 2.17, "build centre of mass outside the first piece footprint, mm": 6.9, "pieces in the build after": 5}, "where": {"joins the": "green Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.63, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.75, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.66, "new piece": "Plate 1x1"}}}, {"name": "3039", "aimed": false, "p": 0.005, "T": [[-0.0, 1.0, 0.0, 40.0], [-1.0, -0.0, 0.0, 20.0], [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 Baseplate 16 x 16. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 5.6, "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": 4, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 12.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.04}, "openness": {"free studs on the pair": 254, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "16.0 x 16.0 x 1.6", "how full that box is (1 = solid)": 0.16, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.94}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.031}, "the whole build": {"build height after, mm": 30.4, "build footprint after, studs": "7.0 x 4.0", "new piece distance from the build centre, studs": 4.54, "build centre of mass outside the first piece footprint, mm": 16.0, "pieces in the build after": 5}, "where": {"joins the": "invisible Baseplate 16 x 16", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.2, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 1.43, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.22, "new piece": "Slope Brick 45  2 x  2"}}}]}
{"turn": 4, "might_be": "an old bonsai, three leaf pads", "next": "A green 2x2 slope on top of the brown stub, the highest leaf pad crowning the tree.", "want_piece": "slope", "want_on": "brown", "taste": "a gnarled hollow trunk carrying small pads at different heights", "pick": 0, "candidates": [{"name": "3039", "aimed": true, "p": 0.305, "T": [[1.0, 0.0, 0.0, 12.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 28.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  2 is stacked (studs into its underside) to a existing Brick  1 x  1. 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": 0.44}, "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)": 0.25}}, "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)": 0.436}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "6.0 x 2.0", "new piece distance from the build centre, studs": 1.97, "build centre of mass outside the first piece footprint, mm": 7.8, "pieces in the build after": 6}, "where": {"joins the": "brown Brick  1 x  1", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.15, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.06, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.14, "new piece": "Slope Brick 45  2 x  2"}}}, {"name": "3039", "aimed": true, "p": 0.17, "T": [[0.0, -1.0, 0.0, 8.0], [1.0, 0.0, 0.0, 4.0], [0.0, 0.0, 1.0, 28.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  2 is stacked (studs into its underside) to a existing Brick  1 x  1. 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": 0.44}, "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)": 0.25}}, "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)": 0.436}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "6.0 x 2.0", "new piece distance from the build centre, studs": 1.98, "build centre of mass outside the first piece footprint, mm": 7.5, "pieces in the build after": 6}, "where": {"joins the": "brown Brick  1 x  1", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.15, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.04, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.25, "new piece": "Slope Brick 45  2 x  2"}}}, {"name": "3039", "aimed": true, "p": 0.14, "T": [[-1.0, -0.0, 0.0, 4.0], [0.0, -1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 28.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  2 is stacked (studs into its underside) to a existing Brick  1 x  1. 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": 0.44}, "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)": 0.25}}, "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)": 0.436}, "the whole build": {"build height after, mm": 40.0, "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": 5.7, "pieces in the build after": 6}, "where": {"joins the": "brown Brick  1 x  1", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.15, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.24, "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"}}}, {"name": "3023", "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, 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 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": "6.0 x 2.0", "new piece distance from the build centre, studs": 2.29, "build centre of mass outside the first piece footprint, mm": 5.5, "pieces in the build after": 6}, "where": {"joins the": "green Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.83, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.85, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.45, "new piece": "Plate 1x2"}}}, {"name": "3039", "aimed": false, "p": 0.285, "T": [[-0.0, 1.0, 0.0, 16.0], [-1.0, -0.0, 0.0, -4.0], [0.0, 0.0, 1.0, 28.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  2 is stacked (studs into its underside) to a existing Brick  1 x  1. 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": 2.72}, "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": 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": 0.6}, "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)": 0.25}}, "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)": 0.436}, "the whole build": {"build height after, mm": 40.0, "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": 8.2, "pieces in the build after": 6}, "where": {"joins the": "brown Brick  1 x  1", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.15, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.04, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.25, "new piece": "Slope Brick 45  2 x  2"}}}, {"name": "3040b", "aimed": false, "p": 0.0, "T": [[-0.0, 1.0, 0.0, 32.0], [-1.0, -0.0, 0.0, 8.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  1 is stacked (studs into its underside) to a existing Baseplate 16 x 16. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 5.6, "farthest point of red from the grey centre, studs": 1.85}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 12.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.01}, "openness": {"free studs on the pair": 255, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "16.0 x 16.0 x 1.6", "how full that box is (1 = solid)": 0.15, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.97}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.023}, "the whole build": {"build height after, mm": 30.4, "build footprint after, studs": "6.0 x 2.0", "new piece distance from the build centre, studs": 3.23, "build centre of mass outside the first piece footprint, mm": 10.8, "pieces in the build after": 6}, "where": {"joins the": "invisible Baseplate 16 x 16", "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)": 0.84, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.14, "new piece": "Slope Brick 45  2 x  1"}}}, {"name": "3040b", "aimed": false, "p": 0.015, "T": [[0.0, -1.0, 0.0, -8.0], [1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 22.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  1 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": 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": 0.09}, "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)": "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)": 0.558}, "the whole build": {"build height after, mm": 33.6, "build footprint after, studs": "6.0 x 1.0", "new piece distance from the build centre, studs": 2.05, "build centre of mass outside the first piece footprint, mm": 4.8, "pieces in the build after": 6}, "where": {"joins the": "green Plate 1x2", "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)": -0.65, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.56, "new piece": "Slope Brick 45  2 x  1"}}}, {"name": "3040b", "aimed": false, "p": 0.01, "T": [[-1.0, -0.0, 0.0, -0.0], [0.0, -1.0, 0.0, -8.0], [0.0, 0.0, 1.0, 22.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  1 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": 6.4, "farthest point of red from the grey centre, studs": 2.22}, "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": 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": 0.51}, "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)": "2.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.33, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.569}, "the whole build": {"build height after, mm": 33.6, "build footprint after, studs": "6.0 x 2.0", "new piece distance from the build centre, studs": 1.66, "build centre of mass outside the first piece footprint, mm": 5.7, "pieces in the build after": 6}, "where": {"joins the": "green Plate 1x2", "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)": -0.57, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.12, "new piece": "Slope Brick 45  2 x  1"}}}]}
{"turn": 5, "might_be": "an old bonsai, three leaf pads, low pot", "next": "A dark blue flat plate tucked under the brown arch's hanging right leg, the start of a low wide pot.", "want_piece": "plate", "want_on": "brown", "taste": "a crooked little tree that needs a small, low home", "pick": 0, "candidates": [{"name": "3023", "aimed": true, "p": 0.41, "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 1x2 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 3.23}, "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": 0.48}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.45, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.281}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "6.0 x 2.0", "new piece distance from the build centre, studs": 2.83, "build centre of mass outside the first piece footprint, mm": 9.2, "pieces in the build after": 7}, "where": {"joins the": "brown Arch  1 x  4", "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)": 0.6, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.53, "new piece": "Plate 1x2"}}}, {"name": "3023", "aimed": true, "p": 0.165, "T": [[0.0, -1.0, 0.0, 24.0], [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 Plate 1x2 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 2.73}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.38}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.28, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.38}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.281}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "6.0 x 3.0", "new piece distance from the build centre, studs": 2.51, "build centre of mass outside the first piece footprint, mm": 8.9, "pieces in the build after": 7}, "where": {"joins the": "brown Arch  1 x  4", "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)": 0.55, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.18, "new piece": "Plate 1x2"}}}, {"name": "3023", "aimed": true, "p": 0.16, "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 1x2 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It 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": -6.4, "farthest point of red from the grey centre, studs": 2.34}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 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": 0.24}, "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)": 0.75}}, "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)": 0.281}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "6.0 x 2.0", "new piece distance from the build centre, studs": 2.1, "build centre of mass outside the first piece footprint, mm": 8.5, "pieces in the build after": 7}, "where": {"joins the": "brown Arch  1 x  4", "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)": 0.3, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.26, "new piece": "Plate 1x2"}}}, {"name": "3023", "aimed": true, "p": 0.135, "T": [[-0.0, 1.0, 0.0, 24.0], [-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 Plate 1x2 is stacked (studs into its underside) to a existing Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 2.73}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.38}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.28, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.38}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.281}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "6.0 x 2.0", "new piece distance from the build centre, studs": 2.48, "build centre of mass outside the first piece footprint, mm": 8.9, "pieces in the build after": 7}, "where": {"joins the": "brown Arch  1 x  4", "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)": 0.36, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.61, "new piece": "Plate 1x2"}}}, {"name": "3024", "aimed": false, "p": 0.075, "T": [[0.0, -1.0, 0.0, 24.0], [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 1x1 is stacked (studs into its underside) to a existing Arch  1 x  4. It sits underneath the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 2.34}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.21}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.52, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.62}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.145}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "6.0 x 2.0", "new piece distance from the build centre, studs": 2.41, "build centre of mass outside the first piece footprint, mm": 8.4, "pieces in the build after": 7}, "where": {"joins the": "brown Arch  1 x  4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.24, "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 1x1"}}}, {"name": "3040b", "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, 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 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": 6.4, "farthest point of red from the grey centre, studs": 1.83}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 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": 0.39}, "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)": 0.33, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.569}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "6.0 x 3.0", "new piece distance from the build centre, studs": 1.45, "build centre of mass outside the first piece footprint, mm": 6.2, "pieces in the build after": 7}, "where": {"joins the": "green Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.7, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.39, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.55, "new piece": "Slope Brick 45  2 x  1"}}}, {"name": "3024", "aimed": false, "p": 0.005, "T": [[0.0, -1.0, 0.0, -32.0], [1.0, 0.0, 0.0, -40.0], [0.0, 0.0, 1.0, -6.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x1 is stacked (studs into its underside) to a existing Baseplate 16 x 16. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.06, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 2.4, "farthest point of red from the grey centre, studs": 1.47}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 6.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.0}, "openness": {"free studs on the pair": 256, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "16.0 x 16.0 x 0.8", "how full that box is (1 = solid)": 0.3, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.94}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.006}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "9.0 x 6.0", "new piece distance from the build centre, studs": 7.56, "build centre of mass outside the first piece footprint, mm": 5.8, "pieces in the build after": 7}, "where": {"joins the": "invisible Baseplate 16 x 16", "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)": -2.6, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.66, "new piece": "Plate 1x1"}}}]}
{"turn": 6, "might_be": "an old bonsai, three leaf pads, low pot", "next": "A dark blue inverted dish under the blue plate: a shallow round bowl for a pot.", "want_piece": "brick", "want_on": "dark blue", "taste": "a crooked trunk that looks like it's stepping into its own pot", "pick": 1, "candidates": [{"name": "4740", "aimed": true, "p": 0.345, "T": [[1.0, 0.0, 0.0, 32.0], [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 Dish  2 x  2 Inverted 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 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": -3.2, "farthest point of red from the grey centre, studs": 1.66}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 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": 0.25}, "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 1.0", "how full that box is (1 = solid)": 0.23, "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)": 0.605}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "6.5 x 2.5", "new piece distance from the build centre, studs": 3.12, "build centre of mass outside the first piece footprint, mm": 10.7, "pieces in the build after": 8}, "where": {"joins the": "dark blue Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.13, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.75, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.66, "new piece": "Dish  2 x  2 Inverted"}}}, {"name": "4740", "aimed": true, "p": 0.58, "T": [[0.0, -1.0, 0.0, 24.0], [1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, -3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Dish  2 x  2 Inverted 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 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": -3.2, "farthest point of red from the grey centre, studs": 1.66}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 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": 0.25}, "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 1.0", "how full that box is (1 = solid)": 0.23, "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)": 0.605}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "6.0 x 2.5", "new piece distance from the build centre, studs": 2.41, "build centre of mass outside the first piece footprint, mm": 10.1, "pieces in the build after": 8}, "where": {"joins the": "dark blue Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.13, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.45, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.39, "new piece": "Dish  2 x  2 Inverted"}}}, {"name": "3024", "aimed": false, "p": 0.01, "T": [[0.0, -1.0, 0.0, 32.0], [1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x1 is stacked (studs into its underside) to a existing Plate 1x2. 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": 3.2, "farthest point of red from the grey centre, studs": 1.22}, "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": 0.17}, "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": 40.0, "build footprint after, studs": "6.0 x 2.0", "new piece distance from the build centre, studs": 2.66, "build centre of mass outside the first piece footprint, mm": 10.0, "pieces in the build after": 8}, "where": {"joins the": "dark blue 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)": 0.75, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.66, "new piece": "Plate 1x1"}}}, {"name": "3024", "aimed": false, "p": 0.005, "T": [[-1.0, -0.0, 0.0, 24.0], [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 1x1 is stacked (studs into its underside) to a existing Baseplate 16 x 16. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.06, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 2.4, "farthest point of red from the grey centre, studs": 1.47}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 6.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.0}, "openness": {"free studs on the pair": 256, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "16.0 x 16.0 x 0.8", "how full that box is (1 = solid)": 0.3, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.94}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.006}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "6.0 x 3.0", "new piece distance from the build centre, studs": 3.26, "build centre of mass outside the first piece footprint, mm": 9.7, "pieces in the build after": 8}, "where": {"joins the": "invisible Baseplate 16 x 16", "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)": 0.08, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 1.24, "new piece": "Plate 1x1"}}}, {"name": "3040b", "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, 0.0], [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 Baseplate 16 x 16. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.06, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 5.6, "farthest point of red from the grey centre, studs": 2.54}, "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": 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": 0.03}, "openness": {"free studs on the pair": 255, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "16.0 x 16.0 x 1.6", "how full that box is (1 = solid)": 0.15, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.91}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.02}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "8.0 x 6.0", "new piece distance from the build centre, studs": 6.51, "build centre of mass outside the first piece footprint, mm": 4.6, "pieces in the build after": 8}, "where": {"joins the": "invisible Baseplate 16 x 16", "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)": -2.18, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.65, "new piece": "Slope Brick 45  2 x  1"}}}]}
{"turn": 7, "might_be": "a root-over-rock bonsai in a low blue pot", "next": "A long flat dark blue plate on the baseplate beside the left root, reaching toward the dish, so the pot runs under both legs.", "want_piece": "plate", "want_on": "dark blue", "taste": "roots gripping over a hollow, one low blue pot under it all", "pick": 0, "candidates": [{"name": "3020", "aimed": true, "p": 0.035, "T": [[1.0, 0.0, 0.0, 12.0], [0.0, 1.0, 0.0, -4.0], [0.0, 0.0, 1.0, 32.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x4 is stacked (studs into its underside) to a existing Slope Brick 45  2 x  2. It sits on top of 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": 2.41}, "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": 2, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.07}, "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)": 0.43, "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": 43.2, "build footprint after, studs": "6.0 x 2.5", "new piece distance from the build centre, studs": 2.86, "build centre of mass outside the first piece footprint, mm": 9.6, "pieces in the build after": 9}, "where": {"joins the": "green Slope Brick 45  2 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.03, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.09, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.21, "new piece": "Plate 2x4"}}}, {"name": "3024", "aimed": true, "p": 0.065, "T": [[1.0, 0.0, 0.0, 56.0], [0.0, 1.0, 0.0, 32.0], [0.0, 0.0, 1.0, -6.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x1 is stacked (studs into its underside) to a existing Baseplate 16 x 16. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.06, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 2.4, "farthest point of red from the grey centre, studs": 1.47}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 6.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.0}, "openness": {"free studs on the pair": 256, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "16.0 x 16.0 x 0.8", "how full that box is (1 = solid)": 0.3, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.94}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.006}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "9.0 x 6.0", "new piece distance from the build centre, studs": 6.93, "build centre of mass outside the first piece footprint, mm": 11.8, "pieces in the build after": 9}, "where": {"joins the": "invisible Baseplate 16 x 16", "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)": 2.41, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.24, "new piece": "Plate 1x1"}}}, {"name": "3040b", "aimed": true, "p": 0.0, "T": [[-1.0, -0.0, 0.0, 16.0], [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 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": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 2.34}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.46}, "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)": "3.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.32, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.42}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.635}, "the whole build": {"build height after, mm": 49.6, "build footprint after, studs": "6.0 x 3.0", "new piece distance from the build centre, studs": 3.23, "build centre of mass outside the first piece footprint, mm": 10.3, "pieces in the build after": 9}, "where": {"joins the": "green Slope Brick 45  2 x  2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.1, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.22, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.02, "new piece": "Slope Brick 45  2 x  1"}}}, {"name": "3040b", "aimed": true, "p": 0.0, "T": [[1.0, 0.0, 0.0, 32.0], [0.0, 1.0, 0.0, -0.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  1 is stacked (studs into its underside) to a existing Slope Brick 45  2 x  1. 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": -9.6, "farthest point of red from the grey centre, studs": 2.62}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.37}, "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 2.6", "how full that box is (1 = solid)": 0.32, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.862}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "6.0 x 2.5", "new piece distance from the build centre, studs": 2.35, "build centre of mass outside the first piece footprint, mm": 12.2, "pieces in the build after": 9}, "where": {"joins the": "green Slope Brick 45  2 x  1", "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)": 0.69, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.81, "new piece": "Slope Brick 45  2 x  1"}}}, {"name": "3710", "aimed": true, "p": 0.065, "T": [[0.0, -1.0, 0.0, 32.0], [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 1x4 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": 3.2, "farthest point of red from the grey centre, studs": 3.67}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 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": 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)": 3.9, "centre of mass offset from the grey centre, studs": 1.04}, "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 1.0", "how full that box is (1 = solid)": 0.27, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.508}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "6.0 x 4.5", "new piece distance from the build centre, studs": 2.83, "build centre of mass outside the first piece footprint, mm": 12.5, "pieces in the build after": 9}, "where": {"joins the": "dark blue Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.3, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.47, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 1.29, "new piece": "Plate 1x4"}}}, {"name": "3710", "aimed": true, "p": 0.06, "T": [[-0.0, 1.0, 0.0, 32.0], [-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 1x4 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. 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": 3.2, "farthest point of red from the grey centre, studs": 2.74}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 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": 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": 0.47}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 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": 40.0, "build footprint after, studs": "6.0 x 4.0", "new piece distance from the build centre, studs": 2.49, "build centre of mass outside the first piece footprint, mm": 12.5, "pieces in the build after": 9}, "where": {"joins the": "dark blue Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.3, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.85, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.45, "new piece": "Plate 1x4"}}}, {"name": "3710", "aimed": true, "p": 0.09, "T": [[-0.0, 1.0, 0.0, 32.0], [-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 1x4 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": 3.2, "farthest point of red from the grey centre, studs": 3.67}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 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": 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)": 3.9, "centre of mass offset from the grey centre, studs": 1.04}, "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 1.0", "how full that box is (1 = solid)": 0.27, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.508}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "6.0 x 4.5", "new piece distance from the build centre, studs": 2.83, "build centre of mass outside the first piece footprint, mm": 12.5, "pieces in the build after": 9}, "where": {"joins the": "dark blue Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.3, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.47, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 1.29, "new piece": "Plate 1x4"}}}, {"name": "3710", "aimed": true, "p": 0.12, "T": [[-0.0, 1.0, 0.0, 32.0], [-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 1x4 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": 3.2, "farthest point of red from the grey centre, studs": 3.67}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 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": 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)": 3.9, "centre of mass offset from the grey centre, studs": 1.04}, "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 1.0", "how full that box is (1 = solid)": 0.27, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.508}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 2.88, "build centre of mass outside the first piece footprint, mm": 12.5, "pieces in the build after": 9}, "where": {"joins the": "dark blue Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.3, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 1.04, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.02, "new piece": "Plate 1x4"}}}]}
{"turn": 8, "might_be": "a root-over-rock bonsai in a low blue pot", "next": "A long flat dark blue plate on the floor, reaching left from the small blue plate toward the brown root, so the pot runs under both.", "want_piece": "plate", "want_on": "dark blue", "taste": "a crooked trunk stepping over a stone, with sky above its crown", "pick": 0, "candidates": [{"name": "3040b", "aimed": true, "p": 0.02, "T": [[0.0, -1.0, 0.0, -24.0], [1.0, 0.0, 0.0, -8.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  1 is stacked (studs into its underside) to a existing Baseplate 16 x 16. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 5.6, "farthest point of red from the grey centre, studs": 1.85}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 12.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.01}, "openness": {"free studs on the pair": 255, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "16.0 x 16.0 x 1.6", "how full that box is (1 = solid)": 0.15, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.97}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.022}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "8.0 x 2.5", "new piece distance from the build centre, studs": 4.73, "build centre of mass outside the first piece footprint, mm": 6.0, "pieces in the build after": 9}, "where": {"joins the": "invisible Baseplate 16 x 16", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.14, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -1.44, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.67, "new piece": "Slope Brick 45  2 x  1"}}}, {"name": "3040b", "aimed": true, "p": 0.0, "T": [[1.0, 0.0, 0.0, 32.0], [0.0, 1.0, 0.0, -0.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  1 is stacked (studs into its underside) to a existing Slope Brick 45  2 x  1. 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": -9.6, "farthest point of red from the grey centre, studs": 2.62}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.37}, "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 2.6", "how full that box is (1 = solid)": 0.32, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.862}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "6.0 x 2.5", "new piece distance from the build centre, studs": 2.35, "build centre of mass outside the first piece footprint, mm": 12.2, "pieces in the build after": 9}, "where": {"joins the": "green Slope Brick 45  2 x  1", "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)": 0.69, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.81, "new piece": "Slope Brick 45  2 x  1"}}}, {"name": "3040b", "aimed": true, "p": 0.005, "T": [[0.0, -1.0, 0.0, 32.0], [1.0, 0.0, 0.0, -0.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  1 is stacked (studs into its underside) to a existing Slope Brick 45  2 x  1. 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": -9.6, "farthest point of red from the grey centre, studs": 2.8}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 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": 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)": 0.43, "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)": 0.676}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "7.0 x 2.5", "new piece distance from the build centre, studs": 2.68, "build centre of mass outside the first piece footprint, mm": 12.5, "pieces in the build after": 9}, "where": {"joins the": "green Slope Brick 45  2 x  1", "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)": 0.86, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.75, "new piece": "Slope Brick 45  2 x  1"}}}, {"name": "3040b", "aimed": true, "p": 0.02, "T": [[-0.0, 1.0, 0.0, 40.0], [-1.0, -0.0, 0.0, -0.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  1 is stacked (studs into its underside) to a existing 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": 6.4, "farthest point of red from the grey centre, studs": 2.44}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 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": 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": 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 1.0 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)": 0.472}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "7.0 x 2.5", "new piece distance from the build centre, studs": 2.97, "build centre of mass outside the first piece footprint, mm": 12.8, "pieces in the build after": 9}, "where": {"joins the": "dark blue Plate 1x2", "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)": 0.95, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.83, "new piece": "Slope Brick 45  2 x  1"}}}, {"name": "3710", "aimed": true, "p": 0.11, "T": [[0.0, -1.0, 0.0, 32.0], [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 1x4 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. 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": 3.2, "farthest point of red from the grey centre, studs": 2.74}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 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": 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": 0.47}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 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": 40.0, "build footprint after, studs": "6.0 x 4.0", "new piece distance from the build centre, studs": 2.49, "build centre of mass outside the first piece footprint, mm": 12.5, "pieces in the build after": 9}, "where": {"joins the": "dark blue Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.3, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.85, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.45, "new piece": "Plate 1x4"}}}, {"name": "3710", "aimed": true, "p": 0.115, "T": [[0.0, -1.0, 0.0, 32.0], [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 1x4 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. 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": 3.2, "farthest point of red from the grey centre, studs": 2.74}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 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": 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": 0.47}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 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": 40.0, "build footprint after, studs": "6.0 x 4.0", "new piece distance from the build centre, studs": 2.47, "build centre of mass outside the first piece footprint, mm": 12.5, "pieces in the build after": 9}, "where": {"joins the": "dark blue Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.3, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.66, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.87, "new piece": "Plate 1x4"}}}, {"name": "3710", "aimed": true, "p": 0.07, "T": [[-0.0, 1.0, 0.0, 32.0], [-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 1x4 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": 3.2, "farthest point of red from the grey centre, studs": 3.67}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 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": 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)": 3.9, "centre of mass offset from the grey centre, studs": 1.04}, "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 1.0", "how full that box is (1 = solid)": 0.27, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.508}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 2.88, "build centre of mass outside the first piece footprint, mm": 12.5, "pieces in the build after": 9}, "where": {"joins the": "dark blue Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.3, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 1.04, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.02, "new piece": "Plate 1x4"}}}, {"name": "3710", "aimed": true, "p": 0.085, "T": [[0.0, -1.0, 0.0, 32.0], [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 1x4 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": 3.2, "farthest point of red from the grey centre, studs": 3.67}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 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": 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)": 3.9, "centre of mass offset from the grey centre, studs": 1.04}, "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 1.0", "how full that box is (1 = solid)": 0.27, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.508}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 2.88, "build centre of mass outside the first piece footprint, mm": 12.5, "pieces in the build after": 9}, "where": {"joins the": "dark blue Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.3, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 1.04, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.02, "new piece": "Plate 1x4"}}}]}
{"turn": 9, "might_be": "a root-over-rock bonsai in a low blue pot", "next": "A long flat dark blue plate low on the floor, running left from the dish under the brown root, so the pot joins up.", "want_piece": "plate", "want_on": "dark blue", "taste": "a little old tree whose trunk bends over like it's stepping", "pick": 1, "candidates": [{"name": "3024", "aimed": true, "p": 0.015, "T": [[-0.0, 1.0, 0.0, -8.0], [-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 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": 40.0, "build footprint after, studs": "8.0 x 2.5", "new piece distance from the build centre, studs": 2.24, "build centre of mass outside the first piece footprint, mm": 5.3, "pieces in the build after": 10}, "where": {"joins the": "green Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.48, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.26, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.58, "new piece": "Plate 1x1"}}}, {"name": "3710", "aimed": true, "p": 0.465, "T": [[-1.0, -0.0, 0.0, 44.0], [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 1x4 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 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": 3.2, "farthest point of red from the grey centre, studs": 4.06}, "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": 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": 1.32}, "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 1.0", "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)": 0.508}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "11.0 x 2.5", "new piece distance from the build centre, studs": 4.32, "build centre of mass outside the first piece footprint, mm": 10.0, "pieces in the build after": 10}, "where": {"joins the": "dark blue Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.3, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 1.15, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 1.05, "new piece": "Plate 1x4"}}}, {"name": "3039", "aimed": true, "p": 0.01, "T": [[-1.0, -0.0, 0.0, -28.0], [0.0, -1.0, 0.0, -24.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  2 is stacked (studs into its underside) to a existing Baseplate 16 x 16. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 5.6, "farthest point of red from the grey centre, studs": 1.85}, "angle": {"angle between the long axes seen from above, degrees": 0, "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": 12.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.01}, "openness": {"free studs on the pair": 254, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "16.0 x 16.0 x 1.6", "how full that box is (1 = solid)": 0.16, "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)": 0.031}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "9.0 x 4.5", "new piece distance from the build centre, studs": 5.52, "build centre of mass outside the first piece footprint, mm": 0.8, "pieces in the build after": 10}, "where": {"joins the": "invisible Baseplate 16 x 16", "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)": -1.16, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.13, "new piece": "Slope Brick 45  2 x  2"}}}, {"name": "3024", "aimed": true, "p": 0.06, "T": [[1.0, 0.0, 0.0, 24.0], [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 1x1 is stacked (studs into its underside) to a existing Dish  2 x  2 Inverted. 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": -3.2, "farthest point of red from the grey centre, studs": 0.99}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "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": 0.0}, "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 1.0", "how full that box is (1 = solid)": 0.2, "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)": 0.853}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "8.0 x 2.5", "new piece distance from the build centre, studs": 2.49, "build centre of mass outside the first piece footprint, mm": 6.5, "pieces in the build after": 10}, "where": {"joins the": "dark blue Dish  2 x  2 Inverted", "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)": 0.61, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.42, "new piece": "Plate 1x1"}}}, {"name": "3710", "aimed": true, "p": 0.03, "T": [[-0.0, 1.0, 0.0, 32.0], [-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 1x4 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. 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": 3.2, "farthest point of red from the grey centre, studs": 2.74}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 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": 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": 0.47}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 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": 40.0, "build footprint after, studs": "8.0 x 4.0", "new piece distance from the build centre, studs": 2.87, "build centre of mass outside the first piece footprint, mm": 8.6, "pieces in the build after": 10}, "where": {"joins the": "dark blue Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.3, "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)": 0.88, "new piece": "Plate 1x4"}}}, {"name": "3710", "aimed": true, "p": 0.09, "T": [[1.0, 0.0, 0.0, -28.0], [0.0, 1.0, 0.0, -8.0], [0.0, 0.0, 1.0, 3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x4 is stacked (studs into its underside) to a existing Slope Brick 45  2 x  1. 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": 3.17}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 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": 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": 0.6}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 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)": 0.5}}, "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)": 0.993}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "10.0 x 2.5", "new piece distance from the build centre, studs": 4.84, "build centre of mass outside the first piece footprint, mm": 1.4, "pieces in the build after": 10}, "where": {"joins the": "dark blue Slope Brick 45  2 x  1", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.3, "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)": -0.8, "new piece": "Plate 1x4"}}}, {"name": "3710", "aimed": true, "p": 0.01, "T": [[0.0, -1.0, 0.0, -24.0], [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 1x4 is stacked (studs into its underside) to a existing Slope Brick 45  2 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 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": 2.84}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 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": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.43}, "openness": {"free studs on the pair": 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 1.8", "how full that box is (1 = solid)": 0.22, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.993}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "8.0 x 4.5", "new piece distance from the build centre, studs": 4.48, "build centre of mass outside the first piece footprint, mm": 1.9, "pieces in the build after": 10}, "where": {"joins the": "dark blue Slope Brick 45  2 x  1", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.3, "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)": -0.47, "new piece": "Plate 1x4"}}}, {"name": "3710", "aimed": true, "p": 0.02, "T": [[0.0, -1.0, 0.0, 32.0], [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 1x4 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": 3.2, "farthest point of red from the grey centre, studs": 3.67}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 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": 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)": 3.9, "centre of mass offset from the grey centre, studs": 1.04}, "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 1.0", "how full that box is (1 = solid)": 0.27, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.508}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "8.0 x 4.5", "new piece distance from the build centre, studs": 3.15, "build centre of mass outside the first piece footprint, mm": 8.6, "pieces in the build after": 10}, "where": {"joins the": "dark blue Plate 1x2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.3, "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)": 1.28, "new piece": "Plate 1x4"}}}]}
{"turn": 10, "might_be": "a root-over-rock bonsai in a low blue pot", "next": "A small dark blue plate low on the floor, tucked under the left brown root, so the pot runs under both legs.", "want_piece": "plate", "want_on": "brown", "taste": "a crooked old trunk on two small feet, the hollow underneath left open", "pick": 3, "candidates": [{"name": "3039", "aimed": true, "p": 0.025, "T": [[0.0, -1.0, 0.0, 56.0], [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 Slope Brick 45  2 x  2 is stacked (studs into its underside) to a existing Plate 1x4. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 3.67}, "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": 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": 1.13}, "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)": 0.27, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.712}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "12.0 x 2.5", "new piece distance from the build centre, studs": 5.84, "build centre of mass outside the first piece footprint, mm": 16.7, "pieces in the build after": 11}, "where": {"joins the": "dark blue Plate 1x4", "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)": 0.87, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.97, "new piece": "Slope Brick 45  2 x  2"}}}, {"name": "3039", "aimed": true, "p": 0.025, "T": [[-0.0, 1.0, 0.0, 48.0], [-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 Slope Brick 45  2 x  2 is stacked (studs into its underside) to a existing Plate 1x4. It sits underneath the existing piece. Along the existing piece it is in the middle. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "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": 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": 0.31}, "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)": 0.33, "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)": 0.712}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "11.0 x 2.5", "new piece distance from the build centre, studs": 4.23, "build centre of mass outside the first piece footprint, mm": 14.7, "pieces in the build after": 11}, "where": {"joins the": "dark blue Plate 1x4", "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)": 0.6, "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": "3023", "aimed": true, "p": 0.01, "T": [[-1.0, -0.0, 0.0, 28.0], [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 Plate 1x2 is stacked (studs into its underside) to a existing Slope Brick 45  2 x  1. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 4 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 1.44}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 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": 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": 0.09}, "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)": 0.67, "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": 40.0, "build footprint after, studs": "11.0 x 2.5", "new piece distance from the build centre, studs": 2.63, "build centre of mass outside the first piece footprint, mm": 10.8, "pieces in the build after": 11}, "where": {"joins the": "green Slope Brick 45  2 x  1", "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)": 0.3, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.13, "new piece": "Plate 1x2"}}}, {"name": "3023", "aimed": true, "p": 0.625, "T": [[-1.0, -0.0, 0.0, 52.0], [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 1x4. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "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": 2.18}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 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": 0.34}, "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 1.0", "how full that box is (1 = solid)": 0.54, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.508}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "11.0 x 2.5", "new piece distance from the build centre, studs": 4.94, "build centre of mass outside the first piece footprint, mm": 12.2, "pieces in the build after": 11}, "where": {"joins the": "dark blue Plate 1x4", "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)": 0.79, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.67, "new piece": "Plate 1x2"}}}, {"name": "3023", "aimed": true, "p": 0.01, "T": [[0.0, -1.0, 0.0, 16.0], [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 Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 2.01}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 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": 0.17}, "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)": 0.62}}, "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)": 0.281}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "11.0 x 2.5", "new piece distance from the build centre, studs": 0.84, "build centre of mass outside the first piece footprint, mm": 10.1, "pieces in the build after": 11}, "where": {"joins the": "brown Arch  1 x  4", "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)": 0.0, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.0, "new piece": "Plate 1x2"}}}, {"name": "3023", "aimed": true, "p": 0.025, "T": [[0.0, -1.0, 0.0, 16.0], [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 Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 2.01}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 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": 0.17}, "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)": 0.62}}, "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)": 0.281}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "11.0 x 3.0", "new piece distance from the build centre, studs": 0.99, "build centre of mass outside the first piece footprint, mm": 10.1, "pieces in the build after": 11}, "where": {"joins the": "brown Arch  1 x  4", "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)": 0.1, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.29, "new piece": "Plate 1x2"}}}, {"name": "3023", "aimed": true, "p": 0.02, "T": [[-0.0, 1.0, 0.0, 16.0], [-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 Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 2.01}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 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": 0.17}, "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)": 0.62}}, "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)": 0.281}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "11.0 x 2.5", "new piece distance from the build centre, studs": 0.84, "build centre of mass outside the first piece footprint, mm": 10.1, "pieces in the build after": 11}, "where": {"joins the": "brown Arch  1 x  4", "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)": -0.0, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.0, "new piece": "Plate 1x2"}}}, {"name": "3023", "aimed": true, "p": 0.015, "T": [[-0.0, 1.0, 0.0, 16.0], [-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 Arch  1 x  4. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 2.01}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 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": 0.17}, "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)": 0.62}}, "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)": 0.281}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "11.0 x 3.0", "new piece distance from the build centre, studs": 0.99, "build centre of mass outside the first piece footprint, mm": 10.1, "pieces in the build after": 11}, "where": {"joins the": "brown Arch  1 x  4", "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)": 0.1, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.29, "new piece": "Plate 1x2"}}}]}
{"turn": 11, "might_be": "a root-over-rock bonsai in a low blue pot", "next": "A dark blue 2x1 slope on the floor, right of the dish, facing out to mirror the left slope as the pot's other end.", "want_piece": "slope", "want_on": "dark blue", "taste": "a little tree stepping onto its stone, the pot's two slanted ends holding it", "pick": 2, "candidates": [{"name": "3040b", "aimed": true, "p": 0.235, "T": [[1.0, 0.0, 0.0, 32.0], [0.0, 1.0, 0.0, 16.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  1 is stacked (studs into its underside) to a existing Baseplate 16 x 16. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.06, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 5.6, "farthest point of red from the grey centre, studs": 2.54}, "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": 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": 0.03}, "openness": {"free studs on the pair": 255, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "16.0 x 16.0 x 1.6", "how full that box is (1 = solid)": 0.15, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.91}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.02}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "11.0 x 4.0", "new piece distance from the build centre, studs": 2.9, "build centre of mass outside the first piece footprint, mm": 13.6, "pieces in the build after": 12}, "where": {"joins the": "invisible Baseplate 16 x 16", "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)": 0.54, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.26, "new piece": "Slope Brick 45  2 x  1"}}}, {"name": "3024", "aimed": false, "p": 0.005, "T": [[0.0, -1.0, 0.0, -48.0], [1.0, 0.0, 0.0, 32.0], [0.0, 0.0, 1.0, -6.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x1 is stacked (studs into its underside) to a existing Baseplate 16 x 16. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.06, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 2.4, "farthest point of red from the grey centre, studs": 1.47}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 6.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.0}, "openness": {"free studs on the pair": 256, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "16.0 x 16.0 x 0.8", "how full that box is (1 = solid)": 0.3, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.94}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.006}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "14.0 x 6.0", "new piece distance from the build centre, studs": 9.22, "build centre of mass outside the first piece footprint, mm": 10.3, "pieces in the build after": 12}, "where": {"joins the": "invisible Baseplate 16 x 16", "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)": -0.85, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -2.77, "new piece": "Plate 1x1"}}}, {"name": "3040b", "aimed": false, "p": 0.605, "T": [[-0.0, 1.0, 0.0, 24.0], [-1.0, -0.0, 0.0, 24.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  1 is stacked (studs into its underside) to a existing Baseplate 16 x 16. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 5.6, "farthest point of red from the grey centre, studs": 1.85}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 12.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.01}, "openness": {"free studs on the pair": 255, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "16.0 x 16.0 x 1.6", "how full that box is (1 = solid)": 0.15, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.97}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.022}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "11.0 x 5.0", "new piece distance from the build centre, studs": 3.42, "build centre of mass outside the first piece footprint, mm": 12.7, "pieces in the build after": 12}, "where": {"joins the": "invisible Baseplate 16 x 16", "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)": 0.46, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.9, "new piece": "Slope Brick 45  2 x  1"}}}, {"name": "3039", "aimed": false, "p": 0.01, "T": [[-0.0, 1.0, 0.0, -32.0], [-1.0, -0.0, 0.0, 28.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  2 is stacked (studs into its underside) to a existing Baseplate 16 x 16. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 5.6, "farthest point of red from the grey centre, studs": 1.85}, "angle": {"angle between the long axes seen from above, degrees": 0, "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": 12.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.01}, "openness": {"free studs on the pair": 254, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "16.0 x 16.0 x 1.6", "how full that box is (1 = solid)": 0.16, "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)": 0.031}, "the whole build": {"build height after, mm": 40.0, "build footprint after, studs": "13.0 x 6.0", "new piece distance from the build centre, studs": 7.48, "build centre of mass outside the first piece footprint, mm": 5.0, "pieces in the build after": 12}, "where": {"joins the": "invisible Baseplate 16 x 16", "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)": -0.63, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -2.32, "new piece": "Slope Brick 45  2 x  2"}}}]}