{"turn": 0, "forced": false, "might_be": "a gold crown", "next": "A small gold cone standing straight up from the rim hole at the front left of the ring.", "want_piece": "small", "want_on": "pearl gold", "taste": "a plain gold band with a few sharp points, evenly spaced", "pick": 3, "candidates": [{"name": "3737", "aimed": false, "p": 0.05, "T": [[0.0, 1.0, -0.0, -40.0], [0.0, 0.0, 1.0, 0.0], [1.0, 0.0, 0.0, 35.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Axle 10 is stacked (studs into its underside) to a existing Technic Ring 11. The new piece stands upright. It sits beside the existing piece, at the same height. It does not hang past the existing piece anywhere. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 5.0, "red centre above the grey centre, mm": 35.8, "farthest point of red from the grey centre, studs": 10.79}, "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": 0, "touching area, square studs": 0.6, "can swing on its pin": false}, "balance": {"pair height, mm": 79.6, "height the red adds above the grey top, mm": 71.6, "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": 0.52}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 0, "connectors the join covered up": 0}, "shape": {"pair bounding box, studs (long x short x tall)": "10.9 x 10.9 x 10.0", "how full that box is (1 = solid)": 0.06, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.173}, "the whole build": {"build height after, mm": 79.6, "build footprint after, studs": "10.9 x 10.9", "new piece distance from the build centre, studs": 6.71, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "pearl gold Technic Ring 11", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 4.98, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.78, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.49, "new piece": "Technic Axle 10"}}}, {"name": "3737", "aimed": false, "p": 0.025, "T": [[0.0, 0.5, -0.866, 20.0], [0.0, 0.866, 0.5, 34.641], [1.0, 0.0, 0.0, 35.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Axle 10 is stacked (studs into its underside) to a existing Technic Ring 11. The new piece stands upright. It sits beside the existing piece, at the same height. It does not hang past the existing piece anywhere. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 4.33, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.79, "red centre across the grey, studs from its centre": 2.5, "red centre above the grey centre, mm": 35.8, "farthest point of red from the grey centre, studs": 10.79}, "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": 0, "touching area, square studs": 0.59, "can swing on its pin": false}, "balance": {"pair height, mm": 79.6, "height the red adds above the grey top, mm": 71.6, "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": 0.52}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 0, "connectors the join covered up": 0}, "shape": {"pair bounding box, studs (long x short x tall)": "10.9 x 10.9 x 10.0", "how full that box is (1 = solid)": 0.06, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.39}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.173}, "the whole build": {"build height after, mm": 79.6, "build footprint after, studs": "10.9 x 10.9", "new piece distance from the build centre, studs": 6.71, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "pearl gold Technic Ring 11", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 4.98, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.81, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.43, "new piece": "Technic Axle 10"}}}, {"name": "3705", "aimed": false, "p": 0.135, "T": [[0.0, -0.5, 0.866, -20.0], [-0.0, 0.866, 0.5, 34.641], [-1.0, -0.0, 0.0, 11.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Axle 4 is stacked (studs into its underside) to a existing Technic Ring 11. The new piece stands upright. It sits beside the existing piece, at the same height. It does not hang past the existing piece anywhere. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 4.33, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.79, "red centre across the grey, studs from its centre": 2.5, "red centre above the grey centre, mm": 11.8, "farthest point of red from the grey centre, studs": 6.28}, "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": 0, "touching area, square studs": 0.59, "can swing on its pin": false}, "balance": {"pair height, mm": 31.6, "height the red adds above the grey top, mm": 23.6, "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": 0.22}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 0, "connectors the join covered up": 0}, "shape": {"pair bounding box, studs (long x short x tall)": "10.9 x 10.9 x 4.0", "how full that box is (1 = solid)": 0.15, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.39}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.068}, "the whole build": {"build height after, mm": 31.6, "build footprint after, studs": "10.9 x 10.9", "new piece distance from the build centre, studs": 5.21, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "pearl gold Technic Ring 11", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.98, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.03, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.92, "new piece": "Technic Axle 4"}}}, {"name": "3705", "aimed": false, "p": 0.42, "T": [[-0.0, 0.866, -0.5, -20.0], [0.0, -0.5, -0.866, -34.641], [-1.0, -0.0, 0.0, 11.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Axle 4 is stacked (studs into its underside) to a existing Technic Ring 11. The new piece stands upright. It sits beside the existing piece, at the same height. It does not hang past the existing piece anywhere. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 4.33, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.79, "red centre across the grey, studs from its centre": 2.5, "red centre above the grey centre, mm": 11.8, "farthest point of red from the grey centre, studs": 6.28}, "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": 0, "touching area, square studs": 0.59, "can swing on its pin": false}, "balance": {"pair height, mm": 31.6, "height the red adds above the grey top, mm": 23.6, "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": 0.22}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 0, "connectors the join covered up": 0}, "shape": {"pair bounding box, studs (long x short x tall)": "10.9 x 10.9 x 4.0", "how full that box is (1 = solid)": 0.15, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.39}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.068}, "the whole build": {"build height after, mm": 31.6, "build footprint after, studs": "10.9 x 10.9", "new piece distance from the build centre, studs": 5.21, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "pearl gold Technic Ring 11", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.98, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.81, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.43, "new piece": "Technic Axle 4"}}}]}
{"turn": 1, "forced": true, "might_be": "a gold crown", "next": "A black friction pin pushed straight down into the front rim hole of the gold ring, standing up as a stub for a point.", "want_piece": "small", "want_on": "pearl gold", "taste": "a plain gold band, with the points as the only thing that rises", "pick": 2, "candidates": [{"name": "33320", "aimed": false, "p": 0.0, "T": [[-1.0, -0.0, 0.0, 52.0], [0.0, -1.0, 0.0, 11.936], [0.0, 0.0, 1.0, 7.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Animal Frog 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": 0.7, "red centre above the grey centre, mm": 4.5, "farthest point of red from the grey centre, studs": 1.82}, "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": 1.64, "can swing on its pin": false}, "balance": {"pair height, mm": 10.7, "height the red adds above the grey top, mm": 7.5, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.01}, "openness": {"free studs on the pair": 255, "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 1.3", "how full that box is (1 = solid)": 0.18, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.93}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.007}, "the whole build": {"build height after, mm": 31.6, "build footprint after, studs": "12.5 x 10.9", "new piece distance from the build centre, studs": 8.8, "build centre of mass outside the first piece footprint, mm": 0.0, "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)": 0.14, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 1.18, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.36, "new piece": "Animal Frog"}}}, {"name": "3737", "aimed": false, "p": 0.065, "T": [[0.0, 0.866, -0.5, -20.0], [0.0, 0.5, 0.866, 34.641], [1.0, 0.0, 0.0, 59.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Axle 10 is stacked (studs into its underside) to a existing Technic Ring 11. The new piece stands upright. It sits beside the existing piece, at the same height. It does not hang past the existing piece anywhere. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 4.33, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.79, "red centre across the grey, studs from its centre": 2.5, "red centre above the grey centre, mm": 36.0, "farthest point of red from the grey centre, studs": 10.81}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 0, "touching area, square studs": 0.57, "can swing on its pin": false}, "balance": {"pair height, mm": 79.8, "height the red adds above the grey top, mm": 71.8, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.52}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 0, "connectors the join covered up": 0}, "shape": {"pair bounding box, studs (long x short x tall)": "10.9 x 10.9 x 10.0", "how full that box is (1 = solid)": 0.06, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.39}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.173}, "the whole build": {"build height after, mm": 91.6, "build footprint after, studs": "10.9 x 10.9", "new piece distance from the build centre, studs": 8.0, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 3}, "where": {"joins the": "pearl gold Technic Ring 11", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.64, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.03, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.92, "new piece": "Technic Axle 10"}}}, {"name": "32062", "aimed": false, "p": 0.455, "T": [[-0.0, 0.5, -0.866, 20.0], [0.0, -0.866, -0.5, -34.641], [-1.0, -0.0, 0.0, 23.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Axle 2 notched is stacked (studs into its underside) to a existing Technic Ring 11. The new piece stands upright. It sits beside the existing piece, at the same height. 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": 4.33, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.79, "red centre across the grey, studs from its centre": 2.5, "red centre above the grey centre, mm": 0.0, "farthest point of red from the grey centre, studs": 5.37}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 0, "touching area, square studs": 0.59, "can swing on its pin": false}, "balance": {"pair height, mm": 15.6, "height the red adds above the grey top, mm": 3.8, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.12}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 0, "connectors the join covered up": 0}, "shape": {"pair bounding box, studs (long x short x tall)": "10.9 x 10.9 x 2.0", "how full that box is (1 = solid)": 0.31, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.39}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.031}, "the whole build": {"build height after, mm": 31.6, "build footprint after, studs": "10.9 x 10.9", "new piece distance from the build centre, studs": 4.33, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 3}, "where": {"joins the": "pearl gold Technic Ring 11", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.5, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.03, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.92, "new piece": "Technic Axle 2 notched"}}}]}