{"turn": 0, "might_be": "Statue of Liberty, starting from her robe hem", "next": "A wide light grey plate tucked under the green slope: her stone pedestal.", "want_piece": "plate", "want_on": "green", "taste": "a copper hem that already looks ready to step off", "pick": 2, "candidates": [{"name": "3020", "aimed": true, "p": 0.025, "T": [[-0.0, 1.0, 0.0, -8.0], [-1.0, -0.0, 0.0, -4.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x4 is stacked (studs into its underside) to a existing Slope Brick 45 2 x 2. It sits underneath the existing piece. It hangs 16 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 3.03}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.56}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 3.0 x 1.8", "how full that box is (1 = solid)": 0.29, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.784}, "the whole build": {"build height after, mm": 14.4, "build footprint after, studs": "3.0 x 4.0", "new piece distance from the build centre, studs": 1.32, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "green Slope Brick 45 2 x 2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.05, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.62, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.38, "new piece": "Plate 2x4"}}}, {"name": "3020", "aimed": true, "p": 0.02, "T": [[0.0, -1.0, 0.0, -8.0], [1.0, 0.0, 0.0, 4.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x4 is stacked (studs into its underside) to a existing Slope Brick 45 2 x 2. It sits underneath the existing piece. It hangs 16 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 3.77}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 16.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.83}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 3.0 x 1.8", "how full that box is (1 = solid)": 0.29, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.17}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.784}, "the whole build": {"build height after, mm": 14.4, "build footprint after, studs": "3.0 x 4.0", "new piece distance from the build centre, studs": 1.55, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "green Slope Brick 45 2 x 2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.05, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.23, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -1.0, "new piece": "Plate 2x4"}}}, {"name": "3020", "aimed": true, "p": 0.535, "T": [[-1.0, -0.0, 0.0, 0.0], [0.0, -1.0, 0.0, -4.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x4 is stacked (studs into its underside) to a existing Slope Brick 45 2 x 2. It sits underneath the existing piece. It hangs 16 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 2.49}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 4, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.07}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.43, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 1.0}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.784}, "the whole build": {"build height after, mm": 14.4, "build footprint after, studs": "4.0 x 2.0", "new piece distance from the build centre, studs": 0.86, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "green Slope Brick 45 2 x 2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.05, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.0, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.0, "new piece": "Plate 2x4"}}}, {"name": "4032a", "aimed": false, "p": 0.005, "T": [[-0.0, 1.0, 0.0, 0.0], [-1.0, -0.0, 0.0, 4.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2 x 2 Round with Axlehole is stacked (studs into its underside) to a existing Slope Brick 45 2 x 2. It sits underneath the existing piece. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 2.28}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.44}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.44, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.67}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.463}, "the whole build": {"build height after, mm": 14.4, "build footprint after, studs": "2.0 x 3.0", "new piece distance from the build centre, studs": 1.19, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "green Slope Brick 45 2 x 2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.05, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.38, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.62, "new piece": "Plate 2 x 2 Round with Axlehole"}}}, {"name": "3020", "aimed": false, "p": 0.03, "T": [[1.0, 0.0, 0.0, -16.0], [0.0, 1.0, 0.0, 4.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x4 is stacked (studs into its underside) to a existing Slope Brick 45 2 x 2. It sits underneath the existing piece. It hangs 24 mm past the edge of the existing piece; 88% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 2.0, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 4.61}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 24.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.88}, "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)": 0.8, "centre of mass offset from the grey centre, studs": 1.27}, "openness": {"free studs on the pair": 9, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 3.0 x 1.8", "how full that box is (1 = solid)": 0.23, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.17}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.784}, "the whole build": {"build height after, mm": 14.4, "build footprint after, studs": "5.0 x 3.0", "new piece distance from the build centre, studs": 2.33, "build centre of mass outside the first piece footprint, mm": 0.8, "pieces in the build after": 2}, "where": {"joins the": "green Slope Brick 45 2 x 2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.05, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.85, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -1.38, "new piece": "Plate 2x4"}}}, {"name": "3020", "aimed": false, "p": 0.01, "T": [[-1.0, -0.0, 0.0, -0.0], [0.0, -1.0, 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 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": 14.4, "build footprint after, studs": "4.0 x 2.0", "new piece distance from the build centre, studs": 0.78, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "green Slope Brick 45 2 x 2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.09, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.0, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.0, "new piece": "Plate 2x4"}}}, {"name": "3020", "aimed": false, "p": 0.29, "T": [[-0.0, 1.0, 0.0, -0.0], [-1.0, -0.0, 0.0, -4.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x4 is stacked (studs into its underside) to a existing Slope Brick 45 2 x 2. It sits underneath the existing piece. It hangs 16 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 2.49}, "angle": {"angle between the long axes seen from above, degrees": 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": 4, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.07}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.43, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 1.0}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.784}, "the whole build": {"build height after, mm": 14.4, "build footprint after, studs": "2.0 x 4.0", "new piece distance from the build centre, studs": 0.86, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "green Slope Brick 45 2 x 2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.05, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.0, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.0, "new piece": "Plate 2x4"}}}, {"name": "3062b", "aimed": false, "p": 0.005, "T": [[-0.0, 1.0, 0.0, 4.0], [-1.0, -0.0, 0.0, 0.0], [0.0, 0.0, 1.0, -9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick 1 x 1 Round with Hollow Stud is stacked (studs into its underside) to a existing Slope Brick 45 2 x 2. The new piece stands upright. It sits underneath the existing piece. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 2.2}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.27}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.38, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.283}, "the whole build": {"build height after, mm": 20.8, "build footprint after, studs": "2.0 x 2.0", "new piece distance from the build centre, studs": 1.28, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "green Slope Brick 45 2 x 2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.26, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.5, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.12, "new piece": "Brick 1 x 1 Round with Hollow Stud"}}}]} {"turn": 1, "might_be": "Statue of Liberty, robe rising from her pedestal", "next": "A green 2x4 brick stacked on top of the green slope, going up: the body of her robe.", "want_piece": "brick", "want_on": "green", "taste": "a green robe rising straight up off plain grey stone", "pick": 2, "candidates": [{"name": "3001", "aimed": true, "p": 0.205, "T": [[1.0, 0.0, 0.0, 0.0], [0.0, 1.0, 0.0, 4.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick 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; 75% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 3.3}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 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": 0.75}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 3.0 x 2.6", "how full that box is (1 = solid)": 0.32, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.67}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.417}, "the whole build": {"build height after, mm": 24.0, "build footprint after, studs": "4.0 x 3.0", "new piece distance from the build centre, studs": 2.02, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 3}, "where": {"joins the": "green Slope Brick 45 2 x 2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.42, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.24, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.45, "new piece": "Brick 2x4"}}}, {"name": "3001", "aimed": true, "p": 0.04, "T": [[0.0, -1.0, 0.0, -8.0], [1.0, 0.0, 0.0, 4.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick 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; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 3.99}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 16.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.03}, "openness": {"free studs on the pair": 9, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 3.0 x 2.6", "how full that box is (1 = solid)": 0.32, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.17}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.417}, "the whole build": {"build height after, mm": 24.0, "build footprint after, studs": "4.0 x 4.0", "new piece distance from the build centre, studs": 2.26, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 3}, "where": {"joins the": "green Slope Brick 45 2 x 2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.42, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.14, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.72, "new piece": "Brick 2x4"}}}, {"name": "3001", "aimed": true, "p": 0.695, "T": [[-1.0, -0.0, 0.0, -8.0], [0.0, -1.0, 0.0, -4.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick 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. 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": 3.59}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 4.0, "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": 0.7}, "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 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)": 0.417}, "the whole build": {"build height after, mm": 24.0, "build footprint after, studs": "5.0 x 2.0", "new piece distance from the build centre, studs": 2.06, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 3}, "where": {"joins the": "green Slope Brick 45 2 x 2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.42, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.38, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.28, "new piece": "Brick 2x4"}}}, {"name": "4032a", "aimed": false, "p": 0.005, "T": [[0.0, -1.0, 0.0, 8.0], [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 2 x 2 Round with Axlehole is stacked (studs into its underside) to a existing Plate 2x4. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It 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": 2.12}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 4, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.28}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.54, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.363}, "the whole build": {"build height after, mm": 17.6, "build footprint after, studs": "4.0 x 2.0", "new piece distance from the build centre, studs": 1.3, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 3}, "where": {"joins the": "light grey Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.04, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.38, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.28, "new piece": "Plate 2 x 2 Round with Axlehole"}}}, {"name": "3020", "aimed": false, "p": 0.005, "T": [[-0.0, 1.0, 0.0, 16.0], [-1.0, -0.0, 0.0, -4.0], [0.0, 0.0, 1.0, -12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x4 is stacked (studs into its underside) to a existing Plate 2x4. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 16 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 3.67}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 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": 1.0}, "openness": {"free studs on the pair": 14, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 4.0 x 1.0", "how full that box is (1 = solid)": 0.29, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "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": 17.6, "build footprint after, studs": "5.0 x 4.0", "new piece distance from the build centre, studs": 2.16, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 3}, "where": {"joins the": "light grey Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.04, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.76, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.55, "new piece": "Plate 2x4"}}}, {"name": "3659", "aimed": false, "p": 0.0, "T": [[-0.0, 1.0, 0.0, 12.0], [-1.0, -0.0, 0.0, 4.0], [0.0, 0.0, 1.0, -12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch 1 x 4 is stacked (studs into its underside) to a existing Plate 2x4. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is 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. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 3.91}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 16.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 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": 0.86}, "openness": {"free studs on the pair": 10, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 4.0 x 1.8", "how full that box is (1 = solid)": 0.22, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.29}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.991}, "the whole build": {"build height after, mm": 24.0, "build footprint after, studs": "4.0 x 4.0", "new piece distance from the build centre, studs": 2.01, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 3}, "where": {"joins the": "light grey Plate 2x4", "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)": 0.81, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.03, "new piece": "Arch 1 x 4"}}}, {"name": "3020", "aimed": false, "p": 0.005, "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 2x4 is stacked (studs into its underside) to a existing Plate 2x4. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is in the middle. It hangs 16 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 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": 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": 4, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 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": 12, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 4.0 x 1.0", "how full that box is (1 = solid)": 0.36, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 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)": 1.0}, "the whole build": {"build height after, mm": 17.6, "build footprint after, studs": "4.0 x 4.0", "new piece distance from the build centre, studs": 0.82, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 3}, "where": {"joins the": "light grey Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.04, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.0, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.0, "new piece": "Plate 2x4"}}}]} {"turn": 2, "might_be": "Statue of Liberty, stepping forward off her pedestal", "next": "A green 1x4 brick on top of the green robe, toward the back, so the body rises narrower toward her shoulders.", "want_piece": "brick", "want_on": "green", "taste": "a statue leaning forward like she's about to step off her plinth", "pick": 1, "candidates": [{"name": "3701", "aimed": true, "p": 0.245, "T": [[-1.0, -0.0, 0.0, -16.0], [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 Technic Brick 1x4 with holes is stacked (studs into its underside) to a existing Brick 2x4. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 8 mm past the edge of the existing piece; 25% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 3.59}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.25}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 3, "touching area, square studs": 3.0, "can swing on its pin": false}, "balance": {"pair height, mm": 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": 0.42}, "openness": {"free studs on the pair": 9, "free hole ends on the pair": 6, "connectors the join covered up": 3}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.39, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.57}, "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": 2.84, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 4}, "where": {"joins the": "green Brick 2x4", "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)": -0.58, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.17, "new piece": "Technic Brick 1x4 with holes"}}}, {"name": "3701", "aimed": true, "p": 0.43, "T": [[1.0, 0.0, 0.0, -8.0], [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 Technic Brick 1x4 with holes is stacked (studs into its underside) to a existing Brick 2x4. 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. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 2.81}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 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": 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": 0.19}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 6, "connectors the join covered up": 4}, "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)": 0.48, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.83}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.57}, "the whole build": {"build height after, mm": 33.6, "build footprint after, studs": "5.0 x 2.0", "new piece distance from the build centre, studs": 2.39, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 4}, "where": {"joins the": "green Brick 2x4", "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)": -0.26, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.07, "new piece": "Technic Brick 1x4 with holes"}}}, {"name": "3701", "aimed": true, "p": 0.03, "T": [[0.0, -1.0, 0.0, -12.0], [1.0, 0.0, 0.0, -4.0], [0.0, 0.0, 1.0, 19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x4 with holes is stacked (studs into its underside) to a existing Brick 2x4. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 16 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 2.81}, "angle": {"angle between the long axes seen from above, degrees": 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": 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": 0.19}, "openness": {"free studs on the pair": 10, "free hole ends on the pair": 6, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 4.0 x 2.6", "how full that box is (1 = solid)": 0.24, "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)": 0.568}, "the whole build": {"build height after, mm": 33.6, "build footprint after, studs": "5.0 x 4.0", "new piece distance from the build centre, studs": 2.52, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 4}, "where": {"joins the": "green Brick 2x4", "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)": -0.32, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.24, "new piece": "Technic Brick 1x4 with holes"}}}, {"name": "3020", "aimed": false, "p": 0.0, "T": [[1.0, 0.0, 0.0, -16.0], [0.0, 1.0, 0.0, -12.0], [0.0, 0.0, 1.0, -12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x4 is stacked (studs into its underside) to a existing Plate 2x4. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 16 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 4.53}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 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": 1.12}, "openness": {"free studs on the pair": 14, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 3.0 x 1.0", "how full that box is (1 = solid)": 0.32, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.17}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "6.0 x 3.0", "new piece distance from the build centre, studs": 2.43, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 4}, "where": {"joins the": "light grey Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.02, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.68, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.03, "new piece": "Plate 2x4"}}}, {"name": "3659", "aimed": false, "p": 0.005, "T": [[-0.0, 1.0, 0.0, 4.0], [-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 Arch 1 x 4 is stacked (studs into its underside) to a existing Plate 2x4. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is in the middle. It hangs 16 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 2.69}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 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": 10, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 4.0 x 1.8", "how full that box is (1 = solid)": 0.22, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.88}}, "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)": 0.991}, "the whole build": {"build height after, mm": 33.6, "build footprint after, studs": "5.0 x 4.0", "new piece distance from the build centre, studs": 1.79, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 4}, "where": {"joins the": "light grey Plate 2x4", "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)": 0.32, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.24, "new piece": "Arch 1 x 4"}}}, {"name": "3020", "aimed": false, "p": 0.01, "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 2x4 is stacked (studs into its underside) to a existing Brick 2x4. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is off-centre, toward 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. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 2.97}, "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": 4, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.34}, "openness": {"free studs on the pair": 12, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 4.0 x 1.8", "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)": 0.532}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "5.0 x 4.0", "new piece distance from the build centre, studs": 1.81, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 4}, "where": {"joins the": "green Brick 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.04, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.16, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.12, "new piece": "Plate 2x4"}}}, {"name": "3020", "aimed": false, "p": 0.035, "T": [[-1.0, -0.0, 0.0, -8.0], [0.0, -1.0, 0.0, -12.0], [0.0, 0.0, 1.0, 12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x4 is stacked (studs into its underside) to a existing Brick 2x4. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is in the middle. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 2.97}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 4, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 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": 0.34}, "openness": {"free studs on the pair": 12, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 3.0 x 1.8", "how full that box is (1 = solid)": 0.44, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.67}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.532}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "5.0 x 3.0", "new piece distance from the build centre, studs": 2.17, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 4}, "where": {"joins the": "green Brick 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.04, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.36, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.27, "new piece": "Plate 2x4"}}}, {"name": "3062b", "aimed": false, "p": 0.01, "T": [[1.0, 0.0, 0.0, -20.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick 1 x 1 Round with Hollow Stud is stacked (studs into its underside) to a existing Brick 2x4. The new piece stands upright. It sits underneath the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 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": 2.74}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.18}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.35, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.46}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.118}, "the whole build": {"build height after, mm": 24.0, "build footprint after, studs": "5.0 x 2.0", "new piece distance from the build centre, studs": 2.21, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 4}, "where": {"joins the": "green Brick 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.41, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.54, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.68, "new piece": "Brick 1 x 1 Round with Hollow Stud"}}}]} {"turn": 3, "might_be": "Statue of Liberty, stocky, shoulders squared", "next": "A small green round piece on top of the holed brick at the right end, the start of her arm going up.", "want_piece": "round", "want_on": "green", "taste": "a stocky copper lady with shoulders too broad, about to raise her arm", "pick": 0, "candidates": [{"name": "3062b", "aimed": true, "p": 0.915, "T": [[1.0, 0.0, 0.0, 4.0], [0.0, 1.0, 0.0, -8.0], [0.0, 0.0, 1.0, 28.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick 1 x 1 Round with Hollow Stud is stacked (studs into its underside) to a existing Technic Brick 1x4 with holes. The new piece stands upright. It sits on top of the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 2.62}, "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": 0.26}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 6, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 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)": 0.62}}, "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)": 0.207}, "the whole build": {"build height after, mm": 43.2, "build footprint after, studs": "5.0 x 2.0", "new piece distance from the build centre, studs": 3.13, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 5}, "where": {"joins the": "green Technic Brick 1x4 with holes", "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)": 0.22, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.44, "new piece": "Brick 1 x 1 Round with Hollow Stud"}}}, {"name": "4032a", "aimed": false, "p": 0.0, "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 2 x 2 Round with Axlehole is stacked (studs into its underside) to a existing Plate 2x4. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 3.31}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.64}, "openness": {"free studs on the pair": 11, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 3.0 x 1.0", "how full that box is (1 = solid)": 0.29, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.17}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.363}, "the whole build": {"build height after, mm": 36.8, "build footprint after, studs": "5.0 x 3.0", "new piece distance from the build centre, studs": 2.71, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 5}, "where": {"joins the": "light grey Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.02, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.28, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.76, "new piece": "Plate 2 x 2 Round with Axlehole"}}}, {"name": "3062b", "aimed": false, "p": 0.04, "T": [[1.0, 0.0, 0.0, 12.0], [0.0, 1.0, 0.0, -0.0], [0.0, 0.0, 1.0, -12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick 1 x 1 Round with Hollow Stud is stacked (studs into its underside) to a existing Plate 2x4. The new piece stands upright. It sits underneath the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 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": 2.48}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.31}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.24, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.46}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.222}, "the whole build": {"build height after, mm": 43.2, "build footprint after, studs": "5.0 x 2.0", "new piece distance from the build centre, studs": 3.08, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 5}, "where": {"joins the": "light grey Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.09, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.74, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.29, "new piece": "Brick 1 x 1 Round with Hollow Stud"}}}, {"name": "3659", "aimed": false, "p": 0.0, "T": [[0.0, -1.0, 0.0, -12.0], [1.0, 0.0, 0.0, -4.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch 1 x 4 is stacked (studs into its underside) to a existing Brick 2x4. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is in the middle. It hangs 16 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 2.93}, "angle": {"angle between the long axes seen from above, degrees": 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": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.16}, "openness": {"free studs on the pair": 10, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 4.0 x 2.6", "how full that box is (1 = solid)": 0.24, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.88}}, "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)": 0.537}, "the whole build": {"build height after, mm": 33.6, "build footprint after, studs": "5.0 x 4.0", "new piece distance from the build centre, studs": 1.14, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 5}, "where": {"joins the": "green Brick 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.33, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.32, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.24, "new piece": "Arch 1 x 4"}}}, {"name": "3298", "aimed": false, "p": 0.0, "T": [[-1.0, -0.0, 0.0, 8.0], [0.0, -1.0, 0.0, -8.0], [0.0, 0.0, 1.0, -12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 33 3 x 2 is stacked (studs into its underside) to a existing Plate 2x4. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 8 mm past the edge of the existing piece; 33% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 3.2}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.33}, "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": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.54}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 3.0 x 1.8", "how full that box is (1 = solid)": 0.37, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.955}, "the whole build": {"build height after, mm": 43.2, "build footprint after, studs": "5.0 x 3.0", "new piece distance from the build centre, studs": 2.92, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 5}, "where": {"joins the": "light grey Plate 2x4", "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 33 3 x 2"}}}]} {"turn": 4, "might_be": "Statue of Liberty, torch arm starting up", "next": "A long green beam pinned through the holes at the right end, reaching up and out: her torch arm, maybe able to swing.", "want_piece": "beam", "want_on": "green", "taste": "a stocky copper body with one arm about to go up", "pick": 1, "candidates": [{"name": "32316", "aimed": true, "p": 0.235, "T": [[-0.0, 1.0, 0.0, 8.073], [0.0, 0.0, -1.0, -16.0], [-1.0, -0.0, -0.0, 15.127], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 is pinned (a pin through both) to a existing Technic Brick 1x4 with holes. It lies parallel to the existing piece. It sits beside the existing piece, at the same height. Along the existing piece it is at one end. It hangs 20 mm past the edge of the existing piece; 100% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": -0.1, "farthest point of red from the grey centre, studs": 4.7}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 19.7, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 1.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 2.2, "can swing on its pin": true}, "balance": {"pair height, mm": 11.2, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.05}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 11, "connectors the join covered up": 5}, "shape": {"pair bounding box, studs (long x short x tall)": "6.5 x 2.0 x 1.4", "how full that box is (1 = solid)": 0.33, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.498, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have 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)": 0.812}, "the whole build": {"build height after, mm": 43.2, "build footprint after, studs": "6.5 x 3.0", "new piece distance from the build centre, studs": 2.12, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 6}, "where": {"joins the": "green Technic Brick 1x4 with holes", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.65, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.18, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.95, "new piece": "Technic Beam 5"}}}, {"name": "32316", "aimed": true, "p": 0.57, "T": [[-0.0, 1.0, 0.0, 15.927], [0.0, 0.0, -1.0, -16.0], [-1.0, -0.0, -0.0, 15.127], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 is pinned (a pin through both) to a existing Technic Brick 1x4 with holes. It lies parallel to the existing piece. It sits beside the existing piece, at the same height. Along the existing piece it is at one end. It hangs 28 mm past the edge of the existing piece; 100% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.99, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.5, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": -0.1, "farthest point of red from the grey centre, studs": 5.64}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 27.5, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 1.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 1.31, "can swing on its pin": true}, "balance": {"pair height, mm": 11.2, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.48}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 13, "connectors the join covered up": 3}, "shape": {"pair bounding box, studs (long x short x tall)": "7.4 x 2.0 x 1.4", "how full that box is (1 = solid)": 0.29, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.812}, "the whole build": {"build height after, mm": 43.2, "build footprint after, studs": "7.4 x 3.0", "new piece distance from the build centre, studs": 2.83, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 6}, "where": {"joins the": "green Technic Brick 1x4 with holes", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.65, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.5, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 1.19, "new piece": "Technic Beam 5"}}}, {"name": "32316", "aimed": true, "p": 0.06, "T": [[-0.0, 1.0, 0.0, 0.073], [0.0, 0.0, -1.0, -16.0], [-1.0, -0.0, -0.0, 15.127], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 is pinned (a pin through both) to a existing Technic Brick 1x4 with holes. It lies parallel to the existing piece. It sits beside the existing piece, at the same height. Along the existing piece it is off-centre, toward one end. It hangs 12 mm past the edge of the existing piece; 100% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": -0.1, "farthest point of red from the grey centre, studs": 3.77}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 11.7, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 1.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 3.1, "can swing on its pin": true}, "balance": {"pair height, mm": 11.2, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.66}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 9, "connectors the join covered up": 7}, "shape": {"pair bounding box, studs (long x short x tall)": "5.5 x 2.0 x 1.4", "how full that box is (1 = solid)": 0.39, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.748, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have 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)": 0.812}, "the whole build": {"build height after, mm": 43.2, "build footprint after, studs": "5.5 x 3.0", "new piece distance from the build centre, studs": 1.69, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 6}, "where": {"joins the": "green Technic Brick 1x4 with holes", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.65, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.14, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.71, "new piece": "Technic Beam 5"}}}, {"name": "4032a", "aimed": false, "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 2 x 2 Round with Axlehole is stacked (studs into its underside) to a existing Plate 2x4. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 3.31}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.64}, "openness": {"free studs on the pair": 11, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 3.0 x 1.0", "how full that box is (1 = solid)": 0.29, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.17}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.363}, "the whole build": {"build height after, mm": 46.4, "build footprint after, studs": "6.0 x 3.0", "new piece distance from the build centre, studs": 3.64, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 6}, "where": {"joins the": "light grey Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.01, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 1.0, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.22, "new piece": "Plate 2 x 2 Round with Axlehole"}}}, {"name": "3298", "aimed": false, "p": 0.005, "T": [[1.0, 0.0, 0.0, -16.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 33 3 x 2 is stacked (studs into its underside) to a existing Plate 2x4. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 67% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 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": 3.62}, "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": 8.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.67}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.06}, "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)": "5.0 x 3.0 x 1.8", "how full that box is (1 = solid)": 0.29, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.33}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.955}, "the whole build": {"build height after, mm": 43.2, "build footprint after, studs": "5.0 x 3.0", "new piece distance from the build centre, studs": 2.25, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 6}, "where": {"joins the": "light grey Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.19, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.54, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.26, "new piece": "Slope Brick 33 3 x 2"}}}, {"name": "3298", "aimed": false, "p": 0.01, "T": [[0.0, -1.0, 0.0, -28.0], [1.0, 0.0, 0.0, -12.0], [0.0, 0.0, 1.0, 28.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 33 3 x 2 is stacked (studs into its underside) to a existing Technic Brick 1x4 with holes. 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; 67% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 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": 3.76}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.67}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 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": 0.87}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 6, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 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)": 0.38}}, "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)": 0.904}, "the whole build": {"build height after, mm": 43.2, "build footprint after, studs": "6.0 x 3.0", "new piece distance from the build centre, studs": 3.33, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 6}, "where": {"joins the": "green Technic Brick 1x4 with holes", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.86, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.91, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.15, "new piece": "Slope Brick 33 3 x 2"}}}, {"name": "3747b", "aimed": false, "p": 0.0, "T": [[0.0, -1.0, 0.0, -4.0], [1.0, 0.0, 0.0, 4.0], [0.0, 0.0, 1.0, 19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 33 3 x 2 Inverted with Ribs between Studs is stacked (studs into its underside) to a existing Brick 2x4. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 67% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 3.99}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.67}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 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": 0.84}, "openness": {"free studs on the pair": 12, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 3.0 x 2.6", "how full that box is (1 = solid)": 0.3, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.29}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.485}, "the whole build": {"build height after, mm": 43.2, "build footprint after, studs": "5.0 x 3.0", "new piece distance from the build centre, studs": 1.97, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 6}, "where": {"joins the": "green Brick 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.69, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.58, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.1, "new piece": "Slope Brick 33 3 x 2 Inverted with Ribs between Studs"}}}, {"name": "3894", "aimed": false, "p": 0.005, "T": [[-1.0, -0.0, 0.0, -32.0], [0.0, -1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x6 with holes is stacked (studs into its underside) to a existing Brick 2x4. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 32 mm past the edge of the existing piece; 67% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 3.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.5, "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": 6.37}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 32.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.67}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 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": 1.44}, "openness": {"free studs on the pair": 12, "free hole ends on the pair": 10, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.28, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.33}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.832}, "the whole build": {"build height after, mm": 43.2, "build footprint after, studs": "9.0 x 2.0", "new piece distance from the build centre, studs": 3.99, "build centre of mass outside the first piece footprint, mm": 3.5, "pieces in the build after": 6}, "where": {"joins the": "green Brick 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.22, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -1.02, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -1.05, "new piece": "Technic Brick 1x6 with holes"}}}]} {"turn": 5, "might_be": "Statue of Liberty, torch arm swinging up", "next": "A small orange round plate on the far right tip of the long green beam: the torch flame, carried up when the arm lifts.", "want_piece": "round", "want_on": "green", "taste": "an arm that can still swing, not quite straight up", "pick": 4, "candidates": [{"name": "3039", "aimed": true, "p": 0.01, "T": [[1.0, 0.0, -0.0, 8.103], [0.0, 0.0, 1.0, -20.0], [0.0, -1.0, 0.0, 30.442], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45 2 x 2 is stacked (studs into its underside) to a existing Technic Beam 5. It sits beside the existing piece, at the same height. Along the existing piece it is in the middle. It hangs 10 mm past the edge of the existing piece; 90% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.52, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 3.9, "farthest point of red from the grey centre, studs": 2.71}, "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": 4.3, "past the grey side, mm": 9.6, "share of red footprint not over the grey": 0.9}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.93, "can swing on its pin": false}, "balance": {"pair height, mm": 38.0, "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": 0.47}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 8, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "2.5 x 2.2 x 4.8", "how full that box is (1 = solid)": 0.34, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.24}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": -1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.901}, "the whole build": {"build height after, mm": 62.3, "build footprint after, studs": "5.0 x 4.2", "new piece distance from the build centre, studs": 3.63, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 7}, "where": {"joins the": "green Technic Beam 5", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.74, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.0, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 1.05, "new piece": "Slope Brick 45 2 x 2"}}}, {"name": "3894", "aimed": true, "p": 0.0, "T": [[1.0, 0.0, 0.0, 0.0], [0.0, 1.0, 0.0, -0.0], [0.0, 0.0, 1.0, -12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x6 with holes is stacked (studs into its underside) to a existing Plate 2x4. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is in the middle. It hangs 16 mm past the edge of the existing piece; 33% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 3.5}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.33}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 4, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.32}, "openness": {"free studs on the pair": 10, "free hole ends on the pair": 10, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.37, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.83}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.639}, "the whole build": {"build height after, mm": 71.9, "build footprint after, studs": "6.0 x 3.0", "new piece distance from the build centre, studs": 3.54, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 7}, "where": {"joins the": "light grey Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.06, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.26, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.18, "new piece": "Technic Brick 1x6 with holes"}}}, {"name": "3659", "aimed": true, "p": 0.025, "T": [[-1.0, -0.0, -0.0, -3.718], [-0.0, 0.0, 1.0, -20.0], [-0.0, 1.0, -0.0, 46.037], [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 Technic Beam 5. It lies crossing the existing piece at a right angle. It sits beside the existing piece, at the same height. Along the existing piece it is at one end. It hangs 17 mm past the edge of the existing piece; 93% 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": 0.98, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.02, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 15.5, "farthest point of red from the grey centre, studs": 4.21}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.1, "past the grey side, mm": 9.6, "share of red footprint not over the grey": 0.93}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 1.81, "can swing on its pin": false}, "balance": {"pair height, mm": 38.5, "height the red adds above the grey top, mm": 0.5, "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": 0.57}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 9, "connectors the join covered up": 3}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.2 x 4.8", "how full that box is (1 = solid)": 0.21, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": -1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.863}, "the whole build": {"build height after, mm": 62.8, "build footprint after, studs": "5.0 x 4.2", "new piece distance from the build centre, studs": 4.76, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 7}, "where": {"joins the": "green Technic Beam 5", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.94, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.43, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.66, "new piece": "Arch 1 x 4"}}}, {"name": "3659", "aimed": true, "p": 0.0, "T": [[1.0, 0.0, 0.0, -24.0], [0.0, 1.0, 0.0, -8.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch 1 x 4 is stacked (studs into its underside) to a existing Brick 2x4. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 16 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 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": -9.6, "farthest point of red from the grey centre, studs": 4.54}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 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": 0.66}, "openness": {"free studs on the pair": 10, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.32, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.33}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.537}, "the whole build": {"build height after, mm": 62.3, "build footprint after, studs": "7.0 x 3.0", "new piece distance from the build centre, studs": 3.26, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 7}, "where": {"joins the": "green Brick 2x4", "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)": -0.9, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.48, "new piece": "Arch 1 x 4"}}}, {"name": "4032a", "aimed": true, "p": 0.47, "T": [[0.0, -1.0, 0.0, 4.282], [0.0, -0.0, 1.0, -20.0], [-1.0, -0.0, 0.0, 50.037], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2 x 2 Round with Axlehole is stacked (studs into its underside) to a existing Technic Beam 5. It sits beside the existing piece, at the same height. Along the existing piece it is at one end. It hangs 3 mm past the edge of the existing piece; 68% 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": 0.02, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.02, "red centre across the grey, studs from its centre": 0.6, "red centre above the grey centre, mm": 19.5, "farthest point of red from the grey centre, studs": 3.56}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.5, "past the grey side, mm": 3.2, "share of red footprint not over the grey": 0.68}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 1.81, "can swing on its pin": false}, "balance": {"pair height, mm": 46.5, "height the red adds above the grey top, mm": 8.5, "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": 0.16}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 9, "connectors the join covered up": 3}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 1.4 x 5.8", "how full that box is (1 = solid)": 0.43, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.69}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": -1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.417}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "5.0 x 3.4", "new piece distance from the build centre, studs": 5.2, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 7}, "where": {"joins the": "green Technic Beam 5", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.01, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.08, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.82, "new piece": "Plate 2 x 2 Round with Axlehole"}}}, {"name": "4032a", "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, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2 x 2 Round with Axlehole is stacked (studs into its underside) to a existing Brick 2x4. 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": 2.28}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 4, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.17}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.8", "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)": 0.193}, "the whole build": {"build height after, mm": 62.3, "build footprint after, studs": "5.0 x 3.0", "new piece distance from the build centre, studs": 2.37, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 7}, "where": {"joins the": "green Brick 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.2, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.48, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.44, "new piece": "Plate 2 x 2 Round with Axlehole"}}}, {"name": "4032a", "aimed": true, "p": 0.005, "T": [[-0.0, 1.0, 0.0, -16.0], [-1.0, -0.0, 0.0, -4.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2 x 2 Round with Axlehole is stacked (studs into its underside) to a existing Brick 2x4. 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": 2.28}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 4, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.17}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.8", "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)": 0.193}, "the whole build": {"build height after, mm": 62.3, "build footprint after, studs": "5.0 x 3.0", "new piece distance from the build centre, studs": 2.37, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 7}, "where": {"joins the": "green Brick 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.2, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.48, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.44, "new piece": "Plate 2 x 2 Round with Axlehole"}}}, {"name": "4032a", "aimed": true, "p": 0.32, "T": [[1.0, 0.0, -0.0, -4.0], [0.0, 0.0, 1.0, -20.0], [0.0, -1.0, 0.0, 11.127], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2 x 2 Round with Axlehole is stacked (studs into its underside) to a existing Technic Beam 5. It sits beside the existing piece, at the same height. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 84% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.02, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.05, "red centre across the grey, studs from its centre": 0.6, "red centre above the grey centre, mm": -19.4, "farthest point of red from the grey centre, studs": 3.74}, "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": 8.4, "past the grey side, mm": 3.2, "share of red footprint not over the grey": 0.84}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 0.91, "can swing on its pin": false}, "balance": {"pair height, mm": 46.4, "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": 0.33}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 9, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 1.4 x 5.8", "how full that box is (1 = solid)": 0.29, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.2}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": -1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.417}, "the whole build": {"build height after, mm": 62.3, "build footprint after, studs": "5.0 x 3.4", "new piece distance from the build centre, studs": 1.72, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 7}, "where": {"joins the": "green Technic Beam 5", "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)": -0.41, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.6, "new piece": "Plate 2 x 2 Round with Axlehole"}}}]} {"turn": 6, "might_be": "Statue of Liberty, torch thrust up, no head yet", "next": "A small green block on top of the green holed brick, left of the arm, rising up: her neck and head.", "want_piece": "small", "want_on": "green", "taste": "a torch shoved up crooked, like she's waving it to be seen", "pick": 1, "candidates": [{"name": "3700", "aimed": true, "p": 0.06, "T": [[0.0, -1.0, 0.0, -4.0], [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 Technic Brick 1x2 with hole is stacked (studs into its underside) to a existing Technic Brick 1x4 with holes. 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": 9.6, "farthest point of red from the grey centre, studs": 2.48}, "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": 5, "free hole ends on the pair": 8, "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)": 0.62}}, "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)": 0.539}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "5.0 x 3.4", "new piece distance from the build centre, studs": 1.39, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 8}, "where": {"joins the": "green Technic Brick 1x4 with holes", "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)": -0.18, "new piece": "Technic Brick 1x2 with hole"}}}, {"name": "3700", "aimed": true, "p": 0.68, "T": [[-1.0, -0.0, 0.0, -8.0], [0.0, -1.0, 0.0, -8.0], [0.0, 0.0, 1.0, 28.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x2 with hole is stacked (studs into its underside) to a existing Technic Brick 1x4 with holes. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 2.06}, "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": 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": 0.0}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 8, "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)": 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)": 0.54}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "5.0 x 3.4", "new piece distance from the build centre, studs": 1.5, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 8}, "where": {"joins the": "green Technic Brick 1x4 with holes", "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)": -0.26, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.12, "new piece": "Technic Brick 1x2 with hole"}}}, {"name": "3700", "aimed": false, "p": 0.01, "T": [[-1.0, 0.0, 0.0, 0.0], [0.0, 1.0, 0.0, 0.0], [-0.0, 0.0, -1.0, 11.055], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x2 with hole is pinned (a pin through both) to a existing Technic Brick 1x4 with holes. It lies parallel to the existing piece. It sits beside the existing piece, at the same height. Along the existing piece it is off-centre, toward one end. It hangs 8 mm past the edge of the existing piece; 100% of the new piece's footprint is not over the existing one. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": -0.1, "farthest point of red from the grey centre, studs": 2.59}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 1.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 2.76, "can swing on its pin": true}, "balance": {"pair height, mm": 11.3, "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": 6, "free hole ends on the pair": 5, "connectors the join covered up": 3}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.4", "how full that box is (1 = solid)": 0.44, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "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": 1.05, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": -1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.54}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "5.0 x 3.4", "new piece distance from the build centre, studs": 1.18, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 8}, "where": {"joins the": "green Technic Brick 1x4 with holes", "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)": 0.26, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.24, "new piece": "Technic Brick 1x2 with hole"}}}, {"name": "3659", "aimed": false, "p": 0.0, "T": [[-0.0, 1.0, 0.0, -20.0], [-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 Arch 1 x 4 is stacked (studs into its underside) to a existing Brick 2x4. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 16 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 3.41}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.48}, "openness": {"free studs on the pair": 10, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 4.0 x 2.6", "how full that box is (1 = solid)": 0.24, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.62}}, "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)": 0.537}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "5.0 x 4.4", "new piece distance from the build centre, studs": 3.42, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 8}, "where": {"joins the": "green Brick 2x4", "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)": -0.64, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.58, "new piece": "Arch 1 x 4"}}}, {"name": "2905", "aimed": false, "p": 0.02, "T": [[1.0, 0.0, 0.0, -8.0], [0.0, 0.0, 1.0, -2.0], [0.0, -1.0, 0.0, 31.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 3x3 bent thin (L) is pinned (a pin through both) to a existing Technic Brick 1x4 with holes. It lies parallel to the existing piece. It sits beside the existing piece, at the same height. Along the existing piece it is in the middle. It hangs 7 mm past the edge of the existing piece; 100% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 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": 0.75, "red centre above the grey centre, mm": 8.0, "farthest point of red from the grey centre, studs": 3.43}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 3.6, "past the grey side, mm": 4.0, "share of red footprint not over the grey": 1.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 4.6, "can swing on its pin": true}, "balance": {"pair height, mm": 25.2, "height the red adds above the grey top, mm": 14.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.35}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 12, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "4.9 x 1.5 x 3.2", "how full that box is (1 = solid)": 0.33, "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": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.576}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "5.5 x 3.4", "new piece distance from the build centre, studs": 1.89, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 8}, "where": {"joins the": "green Technic Brick 1x4 with holes", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.57, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.11, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.36, "new piece": "Technic Beam 3x3 bent thin (L)"}}}]} {"turn": 7, "might_be": "Statue of Liberty, torch thrust up", "next": "A small green slope on top of the green holed brick, left of the arm, rising up: her head, tilted back toward the torch.", "want_piece": "slope", "want_on": "green", "taste": "a squat copper lady shoving her flame up like a punch", "pick": 2, "candidates": [{"name": "3039", "aimed": true, "p": 0.19, "T": [[-0.0, 1.0, 0.0, -20.0], [-1.0, -0.0, 0.0, -12.0], [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 Technic Brick 1x4 with holes. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 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": 9.6, "farthest point of red from the grey centre, studs": 3.43}, "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": 0.79}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 6, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.26, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "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)": 0.731}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 3.4", "new piece distance from the build centre, studs": 2.85, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 9}, "where": {"joins the": "green Technic Brick 1x4 with holes", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.54, "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)": -0.33, "new piece": "Slope Brick 45 2 x 2"}}}, {"name": "3039", "aimed": true, "p": 0.15, "T": [[-1.0, -0.0, 0.0, -24.0], [0.0, -1.0, 0.0, -8.0], [0.0, 0.0, 1.0, 28.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45 2 x 2 is stacked (studs into its underside) to a existing Technic Brick 1x4 with holes. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 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": 9.6, "farthest point of red from the grey centre, studs": 3.48}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 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": 0.84}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 6, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.26, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "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)": 0.731}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 3.4", "new piece distance from the build centre, studs": 3.01, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 9}, "where": {"joins the": "green Technic Brick 1x4 with holes", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.54, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.83, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.63, "new piece": "Slope Brick 45 2 x 2"}}}, {"name": "3039", "aimed": true, "p": 0.2, "T": [[-0.0, 1.0, 0.0, -20.0], [-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 Technic Brick 1x4 with holes. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 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": 9.6, "farthest point of red from the grey centre, studs": 3.43}, "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": 0.79}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 6, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.26, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "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)": 0.731}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 3.4", "new piece distance from the build centre, studs": 2.89, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 9}, "where": {"joins the": "green Technic Brick 1x4 with holes", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.54, "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)": -0.65, "new piece": "Slope Brick 45 2 x 2"}}}, {"name": "3039", "aimed": true, "p": 0.105, "T": [[0.0, -1.0, 0.0, -28.0], [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 Technic Brick 1x4 with holes. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 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": 9.6, "farthest point of red from the grey centre, studs": 3.76}, "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": 0.92}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 6, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.26, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "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)": 0.731}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 3.4", "new piece distance from the build centre, studs": 3.19, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 9}, "where": {"joins the": "green Technic Brick 1x4 with holes", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.54, "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)": -0.71, "new piece": "Slope Brick 45 2 x 2"}}}, {"name": "3039", "aimed": true, "p": 0.17, "T": [[-1.0, -0.0, 0.0, -24.0], [0.0, -1.0, 0.0, -16.0], [0.0, 0.0, 1.0, 28.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45 2 x 2 is stacked (studs into its underside) to a existing Technic Brick 1x4 with holes. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 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": 9.6, "farthest point of red from the grey centre, studs": 3.76}, "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": 0.87}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 6, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.26, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "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)": 0.731}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 3.4", "new piece distance from the build centre, studs": 3.02, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 9}, "where": {"joins the": "green Technic Brick 1x4 with holes", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.54, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -1.03, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.31, "new piece": "Slope Brick 45 2 x 2"}}}, {"name": "3659", "aimed": false, "p": 0.01, "T": [[0.0, -1.0, 0.0, -12.0], [1.0, 0.0, 0.0, -4.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch 1 x 4 is stacked (studs into its underside) to a existing Brick 2x4. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is in the middle. It hangs 16 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 2.93}, "angle": {"angle between the long axes seen from above, degrees": 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": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.16}, "openness": {"free studs on the pair": 10, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 4.0 x 2.6", "how full that box is (1 = solid)": 0.24, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.88}}, "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)": 0.537}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "5.0 x 4.4", "new piece distance from the build centre, studs": 2.85, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 9}, "where": {"joins the": "green Brick 2x4", "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)": -0.32, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.38, "new piece": "Arch 1 x 4"}}}, {"name": "3659", "aimed": false, "p": 0.005, "T": [[1.0, 0.0, 0.0, 0.0], [0.0, 1.0, 0.0, -8.0], [0.0, 0.0, 1.0, -12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch 1 x 4 is stacked (studs into its underside) to a existing Plate 2x4. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 2.69}, "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": 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": 8, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.43, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.83}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.991}, "the whole build": {"build height after, mm": 80.4, "build footprint after, studs": "5.0 x 3.4", "new piece distance from the build centre, studs": 4.06, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 9}, "where": {"joins the": "light grey Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.03, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.06, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.08, "new piece": "Arch 1 x 4"}}}, {"name": "3659", "aimed": false, "p": 0.015, "T": [[-1.0, -0.0, 0.0, 8.0], [0.0, -1.0, 0.0, -8.0], [0.0, 0.0, 1.0, 38.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch 1 x 4 is stacked (studs into its underside) to a existing Technic Brick 1x2 with hole. 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": 9.6, "farthest point of red from the grey centre, studs": 4.37}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 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)": 1.6, "centre of mass offset from the grey centre, studs": 1.2}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 2, "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)": 0.574}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 3.4", "new piece distance from the build centre, studs": 2.63, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 9}, "where": {"joins the": "green Technic Brick 1x2 with hole", "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)": 0.38, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.28, "new piece": "Arch 1 x 4"}}}]} {"turn": 8, "might_be": "Statue of Liberty, chin out, torch up", "next": "A small round green plate on top of the left green slope: the first spike of her crown.", "want_piece": "round", "want_on": "green", "taste": "a stubborn copper chin pushing forward under a blazing torch", "pick": 1, "candidates": [{"name": "6141", "aimed": true, "p": 0.355, "T": [[1.0, 0.0, 0.0, -20.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 32.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1 x 1 Round is stacked (studs into its underside) to a existing Slope Brick 45 2 x 2. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 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": 1.51}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.21}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.5, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.109}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 3.4", "new piece distance from the build centre, studs": 2.76, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 10}, "where": {"joins the": "green Slope Brick 45 2 x 2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.62, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.33, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.58, "new piece": "Plate 1 x 1 Round"}}}, {"name": "6141", "aimed": true, "p": 0.59, "T": [[1.0, 0.0, 0.0, -20.0], [0.0, 1.0, 0.0, -8.0], [0.0, 0.0, 1.0, 32.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1 x 1 Round is stacked (studs into its underside) to a existing Slope Brick 45 2 x 2. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 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": 1.51}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.21}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.5, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.109}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 3.4", "new piece distance from the build centre, studs": 2.55, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 10}, "where": {"joins the": "green Slope Brick 45 2 x 2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.62, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.5, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.29, "new piece": "Plate 1 x 1 Round"}}}, {"name": "3659", "aimed": false, "p": 0.0, "T": [[1.0, 0.0, 0.0, 24.0], [0.0, 1.0, 0.0, -8.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch 1 x 4 is stacked (studs into its underside) to a existing Plate 2x4. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 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": 3.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.5, "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": 5.26}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 24.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.44}, "openness": {"free studs on the pair": 11, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "7.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.25, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.33}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.991}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "9.0 x 3.4", "new piece distance from the build centre, studs": 4.32, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 10}, "where": {"joins the": "light grey Plate 2x4", "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)": 1.02, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.71, "new piece": "Arch 1 x 4"}}}, {"name": "3659", "aimed": false, "p": 0.0, "T": [[-0.0, 1.0, 0.0, -4.0], [-1.0, -0.0, 0.0, -4.0], [0.0, 0.0, 1.0, -12.8], [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 Plate 2x4. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is in the middle. It hangs 16 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 2.69}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 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": 10, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 4.0 x 1.8", "how full that box is (1 = solid)": 0.22, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.88}}, "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)": 0.991}, "the whole build": {"build height after, mm": 80.4, "build footprint after, studs": "6.0 x 4.4", "new piece distance from the build centre, studs": 4.2, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 10}, "where": {"joins the": "light grey Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.03, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.14, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.07, "new piece": "Arch 1 x 4"}}}, {"name": "6141", "aimed": false, "p": 0.015, "T": [[0.0, -1.0, 0.0, -20.0], [1.0, 0.0, 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 1 x 1 Round is stacked (studs into its underside) to a existing Brick 2x4. It sits on top of the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 2.27}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 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": 8, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.48, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.46}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.045}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 3.4", "new piece distance from the build centre, studs": 2.43, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 10}, "where": {"joins the": "green Brick 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.35, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.33, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.58, "new piece": "Plate 1 x 1 Round"}}}]} {"turn": 9, "might_be": "Statue of Liberty, torch up, tablet hugged", "next": "A small green block tucked against the left front of the green body, low down: her tablet held against her hip.", "want_piece": "small", "want_on": "green", "taste": "a squat copper woman holding her flame up stubbornly", "pick": 5, "candidates": [{"name": "3659", "aimed": true, "p": 0.01, "T": [[-1.0, -0.0, -0.0, -5.826], [-0.0, 0.0, 1.0, -20.0], [-0.0, 1.0, -0.0, 38.169], [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 Technic Beam 5. It lies crossing the existing piece at a right angle. It sits beside the existing piece, at the same height. Along the existing piece it is off-centre, toward one end. It hangs 18 mm past the edge of the existing piece; 94% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.24, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.29, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 7.7, "farthest point of red from the grey centre, studs": 3.94}, "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": 18.2, "past the grey side, mm": 9.6, "share of red footprint not over the grey": 0.94}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 1.72, "can swing on its pin": false}, "balance": {"pair height, mm": 38.0, "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": 0.68}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 9, "connectors the join covered up": 3}, "shape": {"pair bounding box, studs (long x short x tall)": "4.2 x 2.2 x 4.8", "how full that box is (1 = solid)": 0.2, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": -1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.863}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 4.2", "new piece distance from the build centre, studs": 2.85, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 11}, "where": {"joins the": "green Technic Beam 5", "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)": -0.31, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.54, "new piece": "Arch 1 x 4"}}}, {"name": "3659", "aimed": true, "p": 0.025, "T": [[1.0, 0.0, 0.0, -8.0], [0.0, 1.0, 0.0, -8.0], [0.0, 0.0, 1.0, -12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch 1 x 4 is stacked (studs into its underside) to a existing Plate 2x4. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 8 mm past the edge of the existing piece; 25% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 3.5}, "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": 0.25}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 3, "touching area, square studs": 3.0, "can swing on its pin": false}, "balance": {"pair height, mm": 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": 0.53}, "openness": {"free studs on the pair": 9, "free hole ends on the pair": 0, "connectors the join covered up": 3}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.35, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.991}, "the whole build": {"build height after, mm": 80.4, "build footprint after, studs": "6.0 x 3.4", "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": 11}, "where": {"joins the": "light grey Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.03, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.09, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.02, "new piece": "Arch 1 x 4"}}}, {"name": "3659", "aimed": true, "p": 0.03, "T": [[-1.0, -0.0, -0.0, -1.967], [-0.0, 0.0, 1.0, -20.0], [-0.0, 1.0, -0.0, 22.714], [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 Technic Beam 5. It lies crossing the existing piece at a right angle. It sits beside the existing piece, at the same height. Along the existing piece it is off-centre, toward one end. It hangs 17 mm past the edge of the existing piece; 93% 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": 0.76, "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": 1.0, "red centre above the grey centre, mm": -7.8, "farthest point of red from the grey centre, studs": 3.56}, "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": 14.4, "past the grey side, mm": 9.6, "share of red footprint not over the grey": 0.93}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 1.93, "can swing on its pin": false}, "balance": {"pair height, mm": 38.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.5}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 9, "connectors the join covered up": 3}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.2 x 4.8", "how full that box is (1 = solid)": 0.21, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.11}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": -1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.863}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 4.2", "new piece distance from the build centre, studs": 1.78, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 11}, "where": {"joins the": "green Technic Beam 5", "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)": -0.18, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.63, "new piece": "Arch 1 x 4"}}}, {"name": "3069b", "aimed": true, "p": 0.07, "T": [[-1.0, -0.0, 0.0, -16.0], [0.0, -1.0, 0.0, -8.0], [0.0, 0.0, 1.0, -6.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Tile 1 x 2 with Groove is stacked (studs into its underside) to a existing Plate 2x4. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 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": 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": 2.4, "farthest point of red from the grey centre, studs": 3.2}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 6.4, "height the red adds above the grey top, mm": 1.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.39}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 2.0 x 0.8", "how full that box is (1 = solid)": 0.43, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.33}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.227}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 3.4", "new piece distance from the build centre, studs": 3.8, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 11}, "where": {"joins the": "light grey Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.06, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.36, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.2, "new piece": "Tile 1 x 2 with Groove"}}}, {"name": "3005", "aimed": true, "p": 0.06, "T": [[-1.0, 0.0, -0.0, -8.0], [0.0, 0.0, -1.0, -4.0], [0.0, -1.0, -0.0, 24.727], [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 Technic Brick 1x2 with hole. It lies crossing the existing piece at a right angle. It sits beside the existing piece, at the same height. Along the existing piece it is in the middle. It hangs 10 mm past the edge of the existing piece; 86% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": -0.1, "farthest point of red from the grey centre, studs": 1.84}, "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": 9.6, "share of red footprint not over the grey": 0.86}, "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": 11.2, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.22}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 1, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "2.2 x 2.0 x 1.4", "how full that box is (1 = solid)": 0.41, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 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)": 0.59}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 3.6", "new piece distance from the build centre, studs": 0.97, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 11}, "where": {"joins the": "green Technic Brick 1x2 with hole", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.53, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.02, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.2, "new piece": "Brick 1 x 1"}}}, {"name": "3005", "aimed": true, "p": 0.45, "T": [[-0.0, 1.0, 0.0, -12.0], [-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 Brick 1 x 1 is stacked (studs into its underside) to a existing Brick 2x4. The new piece stands upright. It sits underneath the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "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": -9.6, "farthest point of red from the grey centre, studs": 2.37}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.1}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.36, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.71}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.182}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 3.4", "new piece distance from the build centre, studs": 2.75, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 11}, "where": {"joins the": "green Brick 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.16, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.22, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.11, "new piece": "Brick 1 x 1"}}}, {"name": "3005", "aimed": true, "p": 0.04, "T": [[-1.0, -0.0, 0.0, 4.0], [0.0, -1.0, 0.0, -8.0], [0.0, 0.0, 1.0, 38.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick 1 x 1 is stacked (studs into its underside) to a existing Brick 1 x 1 Round with Hollow Stud. The new piece stands upright. It sits on top of the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 4 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 1.92}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.0}, "openness": {"free studs on the pair": 1, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "1.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.55, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 1.0}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.648}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 3.4", "new piece distance from the build centre, studs": 2.47, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 11}, "where": {"joins the": "green Brick 1 x 1 Round with Hollow Stud", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.71, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.33, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.26, "new piece": "Brick 1 x 1"}}}, {"name": "3005", "aimed": true, "p": 0.07, "T": [[1.0, -0.0, -0.0, -8.0], [-0.0, 0.0, -1.0, -4.0], [0.0, 1.0, 0.0, 24.727], [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 Technic Brick 1x2 with hole. It lies crossing the existing piece at a right angle. It sits beside the existing piece, at the same height. Along the existing piece it is in the middle. It hangs 10 mm past the edge of the existing piece; 86% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": -0.1, "farthest point of red from the grey centre, studs": 1.84}, "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": 9.6, "share of red footprint not over the grey": 0.86}, "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": 11.2, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.22}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 1, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "2.2 x 2.0 x 1.4", "how full that box is (1 = solid)": 0.41, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 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)": 0.59}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 3.6", "new piece distance from the build centre, studs": 0.97, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 11}, "where": {"joins the": "green Technic Brick 1x2 with hole", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.53, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.02, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.2, "new piece": "Brick 1 x 1"}}}]} {"turn": 10, "might_be": "Statue of Liberty, torch up, crown going on", "next": "A green arch on top of the green body at the left, curving over the head like a crown.", "want_piece": "arch", "want_on": "green", "taste": "a chunky copper lady pushing her flame up at a slant", "pick": 4, "candidates": [{"name": "3659", "aimed": true, "p": 0.215, "T": [[0.0, -1.0, 0.0, -12.0], [1.0, 0.0, 0.0, 4.0], [0.0, 0.0, 1.0, 38.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch 1 x 4 is stacked (studs into its underside) to a existing Technic Brick 1x2 with hole. 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": 9.6, "farthest point of red from the grey centre, studs": 4.02}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 24.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 3.2, "centre of mass offset from the grey centre, studs": 0.95}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 2, "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)": 0.25}}, "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)": 0.574}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 5.4", "new piece distance from the build centre, studs": 2.88, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 12}, "where": {"joins the": "green Technic Brick 1x2 with hole", "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)": 0.03, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.54, "new piece": "Arch 1 x 4"}}}, {"name": "3659", "aimed": true, "p": 0.18, "T": [[0.0, -1.0, 0.0, -4.0], [1.0, 0.0, 0.0, 4.0], [0.0, 0.0, 1.0, 38.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch 1 x 4 is stacked (studs into its underside) to a existing Technic Brick 1x2 with hole. 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": 9.6, "farthest point of red from the grey centre, studs": 4.02}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 24.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 3.2, "centre of mass offset from the grey centre, studs": 0.95}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 2, "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)": 0.25}}, "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)": 0.574}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 5.4", "new piece distance from the build centre, studs": 2.8, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 12}, "where": {"joins the": "green Technic Brick 1x2 with hole", "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)": 0.31, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.36, "new piece": "Arch 1 x 4"}}}, {"name": "3659", "aimed": true, "p": 0.08, "T": [[-1.0, -0.0, 0.0, -5.826], [-0.0, 0.0, -1.0, -12.0], [0.0, -1.0, -0.0, 38.169], [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 Technic Beam 5. It lies crossing the existing piece at a right angle. It sits beside the existing piece, at the same height. Along the existing piece it is off-centre, toward one end. It hangs 18 mm past the edge of the existing piece; 94% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.24, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.29, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 7.7, "farthest point of red from the grey centre, studs": 3.94}, "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": 18.2, "past the grey side, mm": 9.6, "share of red footprint not over the grey": 0.94}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 1.72, "can swing on its pin": false}, "balance": {"pair height, mm": 38.0, "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": 0.68}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 9, "connectors the join covered up": 3}, "shape": {"pair bounding box, studs (long x short x tall)": "4.2 x 2.2 x 4.8", "how full that box is (1 = solid)": 0.2, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.863}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 3.4", "new piece distance from the build centre, studs": 2.54, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 12}, "where": {"joins the": "green Technic Beam 5", "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)": -0.06, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.11, "new piece": "Arch 1 x 4"}}}, {"name": "3659", "aimed": true, "p": 0.01, "T": [[0.0, -1.0, 0.0, -20.0], [1.0, 0.0, 0.0, 12.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch 1 x 4 is stacked (studs into its underside) to a existing Brick 2x4. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 2.0, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 4.86}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 24.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.8}, "openness": {"free studs on the pair": 11, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 4.0 x 2.6", "how full that box is (1 = solid)": 0.19, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.12}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.537}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 6.4", "new piece distance from the build centre, studs": 3.95, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 12}, "where": {"joins the": "green Brick 2x4", "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)": -0.07, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -1.02, "new piece": "Arch 1 x 4"}}}, {"name": "3659", "aimed": true, "p": 0.445, "T": [[0.0, -1.0, 0.0, -20.0], [1.0, 0.0, 0.0, -20.0], [0.0, 0.0, 1.0, 41.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch 1 x 4 is stacked (studs into its underside) to a existing Plate 1 x 1 Round. It sits on top of the existing piece. It hangs 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 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": 6.4, "farthest point of red from the grey centre, studs": 3.77}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 24.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 6.7, "centre of mass offset from the grey centre, studs": 1.34}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.5, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.085}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 3.55, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 12}, "where": {"joins the": "green Plate 1 x 1 Round", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.74, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.76, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.15, "new piece": "Arch 1 x 4"}}}, {"name": "32017", "aimed": false, "p": 0.005, "T": [[0.0, -1.0, 0.0, 4.031], [0.0, -0.0, -1.0, -22.0], [1.0, 0.0, 0.0, 30.442], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 thin (1x5 liftarm) is pinned (a pin through both) to a existing Technic Beam 5. It lies crossing the existing piece at a right angle. It sits beside the existing piece, at the same height. Along the existing piece it is in the middle. It hangs 24 mm past the edge of the existing piece; 100% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.01, "red centre across the grey, studs from its centre": 0.75, "red centre above the grey centre, mm": -0.1, "farthest point of red from the grey centre, studs": 2.66}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 12.0, "past the grey side, mm": 4.0, "share of red footprint not over the grey": 1.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 1.73, "can swing on its pin": true}, "balance": {"pair height, mm": 38.0, "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": 0.27}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 17, "connectors the join covered up": 3}, "shape": {"pair bounding box, studs (long x short x tall)": "4.9 x 1.5 x 4.8", "how full that box is (1 = solid)": 0.2, "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": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.472}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.0 x 3.5", "new piece distance from the build centre, studs": 2.64, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 12}, "where": {"joins the": "green Technic Beam 5", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.61, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.03, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.77, "new piece": "Technic Beam 5 thin (1x5 liftarm)"}}}, {"name": "32524", "aimed": false, "p": 0.005, "T": [[-1.0, -0.0, -0.0, 8.282], [-0.0, 0.0, 1.0, -8.0], [-0.0, 1.0, -0.0, 69.964], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 7 is pinned (a pin through both) to a existing Technic Beam 5. The new piece stands upright. It sits beside the existing piece, at the same height. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 100% 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": 0.52, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.54, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 39.5, "farthest point of red from the grey centre, studs": 8.53}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.1, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 1.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 0.8, "can swing on its pin": true}, "balance": {"pair height, mm": 86.1, "height the red adds above the grey top, mm": 48.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.7, "centre of mass offset from the grey centre, studs": 0.66}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 22, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 1.9 x 10.8", "how full that box is (1 = solid)": 0.22, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.23}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.193, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.697}, "the whole build": {"build height after, mm": 110.4, "build footprint after, studs": "6.0 x 3.4", "new piece distance from the build centre, studs": 6.74, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 12}, "where": {"joins the": "green Technic Beam 5", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.17, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.48, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.35, "new piece": "Technic Beam 7"}}}, {"name": "32017", "aimed": false, "p": 0.005, "T": [[0.0, -1.0, 0.0, -24.073], [0.0, 0.0, 1.0, -2.0], [-1.0, -0.0, 0.0, 15.127], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 thin (1x5 liftarm) is pinned (a pin through both) to a existing Technic Brick 1x4 with holes. It lies parallel to the existing piece. It sits beside the existing piece, at the same height. Along the existing piece it is at one end. It hangs 20 mm past the edge of the existing piece; 100% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.75, "red centre above the grey centre, mm": -0.1, "farthest point of red from the grey centre, studs": 4.57}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 19.7, "past the grey side, mm": 4.0, "share of red footprint not over the grey": 1.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 2.2, "can swing on its pin": true}, "balance": {"pair height, mm": 11.2, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.72}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 11, "connectors the join covered up": 5}, "shape": {"pair bounding box, studs (long x short x tall)": "6.5 x 1.5 x 1.4", "how full that box is (1 = solid)": 0.35, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.12}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.498, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have 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)": 0.383}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.5 x 3.4", "new piece distance from the build centre, studs": 2.42, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 12}, "where": {"joins the": "green Technic Brick 1x4 with holes", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.39, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.51, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.6, "new piece": "Technic Beam 5 thin (1x5 liftarm)"}}}]} {"turn": 11, "might_be": "Statue of Liberty, crown too long for her", "next": "A small round green plate standing on top of the long green arch, middle: a crown spike.", "want_piece": "round", "want_on": "green", "taste": "a crown too big for the head it sits on", "pick": 1, "candidates": [{"name": "6141", "aimed": true, "p": 0.37, "T": [[1.0, 0.0, 0.0, -20.0], [0.0, 1.0, 0.0, -24.0], [0.0, 0.0, 1.0, 44.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1 x 1 Round is stacked (studs into its underside) to a existing Arch 1 x 4. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 1.36}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.05}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.5, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.88}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.085}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 3.88, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 13}, "where": {"joins the": "green Arch 1 x 4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.8, "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)": 0.29, "new piece": "Plate 1 x 1 Round"}}}, {"name": "6141", "aimed": true, "p": 0.425, "T": [[1.0, 0.0, 0.0, -20.0], [0.0, 1.0, 0.0, -16.0], [0.0, 0.0, 1.0, 44.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1 x 1 Round is stacked (studs into its underside) to a existing Arch 1 x 4. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 1.36}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.05}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.5, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.88}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.085}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 3.52, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 13}, "where": {"joins the": "green Arch 1 x 4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.8, "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)": 0.0, "new piece": "Plate 1 x 1 Round"}}}, {"name": "6141", "aimed": false, "p": 0.015, "T": [[-0.0, 1.0, 0.0, 8.282], [-0.0, 0.0, -1.0, -12.0], [-1.0, -0.0, -0.0, 46.037], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1 x 1 Round is stacked (studs into its underside) to a existing Technic Beam 5. It sits beside the existing piece, at the same height. Along the existing piece it is at one end. It hangs 3 mm past the edge of the existing piece; 69% 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": 0.52, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.54, "red centre across the grey, studs from its centre": 0.6, "red centre above the grey centre, mm": 15.5, "farthest point of red from the grey centre, studs": 2.59}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.5, "past the grey side, mm": 3.2, "share of red footprint not over the grey": 0.69}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 0.88, "can swing on its pin": false}, "balance": {"pair height, mm": 38.5, "height the red adds above the grey top, mm": 0.5, "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": 0.08}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 9, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 1.4 x 4.8", "how full that box is (1 = solid)": 0.43, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.43}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.098}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 3.82, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 13}, "where": {"joins the": "green Technic Beam 5", "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)": 0.47, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.47, "new piece": "Plate 1 x 1 Round"}}}, {"name": "3659", "aimed": false, "p": 0.0, "T": [[1.0, 0.0, 0.0, -8.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, -12.8], [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 Plate 2x4. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 8 mm past the edge of the existing piece; 25% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 3.5}, "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": 0.25}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 3, "touching area, square studs": 3.0, "can swing on its pin": false}, "balance": {"pair height, mm": 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": 0.53}, "openness": {"free studs on the pair": 9, "free hole ends on the pair": 0, "connectors the join covered up": 3}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.35, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.991}, "the whole build": {"build height after, mm": 80.4, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 4.46, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 13}, "where": {"joins the": "light grey Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.03, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.18, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.31, "new piece": "Arch 1 x 4"}}}, {"name": "3659", "aimed": false, "p": 0.015, "T": [[0.0, -1.0, 0.0, -20.0], [1.0, 0.0, 0.0, -44.0], [0.0, 0.0, 1.0, 51.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch 1 x 4 is stacked (studs into its underside) to a existing 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 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": 3.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.5, "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": 5.3}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 24.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.5}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "7.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.37, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 8.0", "new piece distance from the build centre, studs": 5.92, "build centre of mass outside the first piece footprint, mm": 0.2, "pieces in the build after": 13}, "where": {"joins the": "green Arch 1 x 4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.88, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -1.03, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 1.02, "new piece": "Arch 1 x 4"}}}]} {"turn": 12, "might_be": "Statue of Liberty, crown worn like a visor", "next": "A green slope tucked low against the left front of the green body: her tablet, hugged to her hip.", "want_piece": "slope", "want_on": "green", "taste": "a crown worn as a sun visor against her own torch", "pick": 2, "candidates": [{"name": "3040b", "aimed": true, "p": 0.13, "T": [[-0.0, 1.0, -0.0, -0.0], [-0.0, 0.0, 1.0, -20.0], [1.0, 0.0, -0.0, 15.127], [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 Technic Beam 5. It lies crossing the existing piece at a right angle. It sits beside the existing piece, at the same height. Along the existing piece it is at one end. It hangs 10 mm past the edge of the existing piece; 93% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.02, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.05, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": -15.4, "farthest point of red from the grey centre, studs": 3.58}, "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": 8.4, "past the grey side, mm": 9.6, "share of red footprint not over the grey": 0.93}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 0.91, "can swing on its pin": false}, "balance": {"pair height, mm": 38.4, "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": 0.42}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 9, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 2.2 x 4.8", "how full that box is (1 = solid)": 0.23, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": -1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.557}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 2.06, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 14}, "where": {"joins the": "green Technic Beam 5", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.39, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.12, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.68, "new piece": "Slope Brick 45 2 x 1"}}}, {"name": "3040b", "aimed": true, "p": 0.07, "T": [[0.0, -1.0, -0.0, -8.0], [0.0, 0.0, -1.0, -4.0], [1.0, 0.0, 0.0, 15.127], [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 Technic Brick 1x4 with holes. It lies parallel to the existing piece. It sits beside the existing piece, at the same height. Along the existing piece it is in the middle. It hangs 10 mm past the edge of the existing piece; 86% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": -0.1, "farthest point of red from the grey centre, studs": 2.32}, "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": 9.6, "share of red footprint not over the grey": 0.86}, "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": 11.2, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.31}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 4, "connectors the join covered up": 3}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.2 x 1.4", "how full that box is (1 = solid)": 0.41, "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": 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)": 0.474}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 5.2", "new piece distance from the build centre, studs": 1.52, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 14}, "where": {"joins the": "green Technic Brick 1x4 with holes", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.39, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.27, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.24, "new piece": "Slope Brick 45 2 x 1"}}}, {"name": "3040b", "aimed": true, "p": 0.325, "T": [[-1.0, -0.0, 0.0, -20.0], [0.0, -1.0, 0.0, -32.0], [0.0, 0.0, 1.0, 32.0], [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 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": -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": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.4}, "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)": 0.75}}, "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)": 0.494}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 2.94, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 14}, "where": {"joins the": "green Arch 1 x 4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.58, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.75, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.48, "new piece": "Slope Brick 45 2 x 1"}}}, {"name": "3040b", "aimed": true, "p": 0.075, "T": [[-1.0, 0.0, 0.0, -8.0], [0.0, 0.0, 1.0, -12.0], [0.0, 1.0, -0.0, 24.727], [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 Technic Brick 1x2 with hole. The new piece stands upright. It sits beside the existing piece, at the same height. Along the existing piece it is in the middle. It hangs 10 mm past the edge of the existing piece; 86% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": -4.1, "farthest point of red from the grey centre, studs": 2.33}, "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": 9.6, "share of red footprint not over the grey": 0.86}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.19, "can swing on its pin": false}, "balance": {"pair height, mm": 17.7, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.44}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 1, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "2.2 x 2.0 x 2.2", "how full that box is (1 = solid)": 0.35, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 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)": 0.86}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 0.78, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 14}, "where": {"joins the": "green Technic Brick 1x2 with hole", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.49, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.12, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.28, "new piece": "Slope Brick 45 2 x 1"}}}, {"name": "3040b", "aimed": true, "p": 0.07, "T": [[1.0, 0.0, 0.0, -20.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 51.2], [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)": 0.494}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 3.63, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 14}, "where": {"joins the": "green Arch 1 x 4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.85, "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)": -0.48, "new piece": "Slope Brick 45 2 x 1"}}}, {"name": "3040b", "aimed": false, "p": 0.035, "T": [[1.0, 0.0, 0.0, -20.0], [0.0, 1.0, 0.0, 8.0], [0.0, 0.0, 1.0, 38.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45 2 x 1 is stacked (studs into its underside) to a existing Slope Brick 45 2 x 2. It sits on top of the existing piece. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 2.81}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.51}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.32, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.33}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.635}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 6.0", "new piece distance from the build centre, studs": 2.87, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 14}, "where": {"joins the": "green Slope Brick 45 2 x 2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.67, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.09, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.77, "new piece": "Slope Brick 45 2 x 1"}}}, {"name": "3622", "aimed": false, "p": 0.005, "T": [[0.0, -1.0, 0.0, -12.0], [1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, -12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick 1 x 3 is stacked (studs into its underside) to a existing Plate 2x4. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 33% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 3.2}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.33}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 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": 0.73}, "openness": {"free studs on the pair": 9, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 3.0 x 1.8", "how full that box is (1 = solid)": 0.25, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.46}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.936}, "the whole build": {"build height after, mm": 80.4, "build footprint after, studs": "6.0 x 6.0", "new piece distance from the build centre, studs": 4.75, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 14}, "where": {"joins the": "light grey Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.03, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.06, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.4, "new piece": "Brick 1 x 3"}}}, {"name": "3040b", "aimed": false, "p": 0.2, "T": [[-1.0, -0.0, 0.0, -20.0], [0.0, -1.0, 0.0, -32.0], [0.0, 0.0, 1.0, 32.0], [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 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": -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": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.4}, "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)": 0.75}}, "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)": 0.494}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 2.94, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 14}, "where": {"joins the": "green Arch 1 x 4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.58, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.75, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.48, "new piece": "Slope Brick 45 2 x 1"}}}]} {"turn": 13, "might_be": "Statue of Liberty squinting under her tablet", "next": "A thin green bent beam standing up on top of her head, between the slab and the torch, its arm sticking up like crown spikes.", "want_piece": "angle", "want_on": "green", "taste": "a monument dazzled by her own torch, shading her eyes", "pick": 0, "candidates": [{"name": "2905", "aimed": true, "p": 0.62, "T": [[-0.0, -1.0, -0.0, -8.073], [0.0, 0.0, -1.0, -14.0], [1.0, -0.0, 0.0, 24.727], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 3x3 bent thin (L) is pinned (a pin through both) to a existing Technic Brick 1x2 with hole. The new piece stands upright. It sits beside the existing piece, at the same height. Along the existing piece it is at one end. It hangs 12 mm past the edge of the existing piece; 100% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.01, "red centre across the grey, studs from its centre": 0.75, "red centre above the grey centre, mm": -0.1, "farthest point of red from the grey centre, studs": 2.65}, "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": 11.7, "past the grey side, mm": 4.0, "share of red footprint not over the grey": 1.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 2.02, "can swing on its pin": true}, "balance": {"pair height, mm": 39.2, "height the red adds above the grey top, mm": 13.9, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.55}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 9, "connectors the join covered up": 3}, "shape": {"pair bounding box, studs (long x short x tall)": "3.5 x 1.5 x 4.9", "how full that box is (1 = solid)": 0.23, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.12}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.973}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 0.58, "build centre of mass outside the first piece footprint, mm": 0.1, "pieces in the build after": 15}, "where": {"joins the": "green Technic Brick 1x2 with hole", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.53, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.19, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.12, "new piece": "Technic Beam 3x3 bent thin (L)"}}}, {"name": "2905", "aimed": true, "p": 0.245, "T": [[-0.0, -1.0, -0.0, -8.073], [0.0, 0.0, -1.0, -14.0], [1.0, -0.0, 0.0, 16.727], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 3x3 bent thin (L) is pinned (a pin through both) to a existing Technic Brick 1x2 with hole. The new piece stands upright. It sits beside the existing piece, at the same height. Along the existing piece it is at one end. It hangs 12 mm past the edge of the existing piece; 100% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.01, "red centre across the grey, studs from its centre": 0.75, "red centre above the grey centre, mm": -8.1, "farthest point of red from the grey centre, studs": 3.6}, "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": 11.7, "past the grey side, mm": 4.0, "share of red footprint not over the grey": 1.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 2.02, "can swing on its pin": true}, "balance": {"pair height, mm": 39.2, "height the red adds above the grey top, mm": 5.9, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.55}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 10, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "3.5 x 1.5 x 4.9", "how full that box is (1 = solid)": 0.23, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.12}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.973}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 0.82, "build centre of mass outside the first piece footprint, mm": 0.1, "pieces in the build after": 15}, "where": {"joins the": "green Technic Brick 1x2 with hole", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.42, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.19, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.12, "new piece": "Technic Beam 3x3 bent thin (L)"}}}, {"name": "3622", "aimed": false, "p": 0.0, "T": [[-0.0, 1.0, 0.0, 12.0], [-1.0, -0.0, 0.0, -8.0], [0.0, 0.0, 1.0, -12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick 1 x 3 is stacked (studs into its underside) to a existing Plate 2x4. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 33% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 3.2}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.33}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 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": 0.73}, "openness": {"free studs on the pair": 9, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 3.0 x 1.8", "how full that box is (1 = solid)": 0.25, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.46}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.936}, "the whole build": {"build height after, mm": 80.4, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 5.33, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 15}, "where": {"joins the": "light grey Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.03, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.65, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.44, "new piece": "Brick 1 x 3"}}}, {"name": "3622", "aimed": false, "p": 0.015, "T": [[1.0, 0.0, 0.0, 4.0], [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 3 is stacked (studs into its underside) to a existing Brick 2x4. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 33% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "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": 3.59}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.33}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 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": 0.49}, "openness": {"free studs on the pair": 9, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.36, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.46}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.498}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 2.23, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 15}, "where": {"joins the": "green Brick 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.42, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.55, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.03, "new piece": "Brick 1 x 3"}}}]} {"turn": 14, "might_be": "Statue of Liberty, both hands on the torch", "next": "A small round green plate on top of the green round stub at right, behind the arms: her head peeking, crown starting.", "want_piece": "round", "want_on": "green", "taste": "a torch so heavy it takes both arms to hold up", "pick": 0, "candidates": [{"name": "6141", "aimed": true, "p": 0.79, "T": [[1.0, 0.0, 0.0, 4.0], [0.0, 1.0, 0.0, -8.0], [0.0, 0.0, 1.0, 32.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1 x 1 Round is stacked (studs into its underside) to a existing Brick 1 x 1 Round with Hollow Stud. It sits on top of the existing piece. Along the existing piece it is at one end. It 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": 1.14}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.0}, "openness": {"free studs on the pair": 1, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "1.0 x 1.0 x 1.8", "how full that box is (1 = solid)": 0.45, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 1.0}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.385}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 2.03, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 16}, "where": {"joins the": "green Brick 1 x 1 Round with Hollow Stud", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.62, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.4, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.26, "new piece": "Plate 1 x 1 Round"}}}, {"name": "6141", "aimed": false, "p": 0.015, "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 1 x 1 Round is stacked (studs into its underside) to a existing Plate 2x4. It sits underneath the existing piece. Along the existing piece it is in the middle. It 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": 0.5, "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": -3.2, "farthest point of red from the grey centre, studs": 1.31}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.07}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.39, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.71}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.085}, "the whole build": {"build height after, mm": 74.0, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 4.76, "build centre of mass outside the first piece footprint, mm": 0.1, "pieces in the build after": 16}, "where": {"joins the": "light grey Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.01, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.31, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.22, "new piece": "Plate 1 x 1 Round"}}}, {"name": "3894", "aimed": false, "p": 0.005, "T": [[-1.0, 0.0, 0.0, 16.0], [0.0, 1.0, 0.0, 0.0], [-0.0, 0.0, -1.0, 11.055], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x6 with holes is pinned (a pin through both) to a existing Technic Brick 1x4 with holes. It lies parallel to the existing piece. It sits beside the existing piece, at the same height. Along the existing piece it is at one end. It hangs 32 mm past the edge of the existing piece; 100% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 3.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.5, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": -0.1, "farthest point of red from the grey centre, studs": 6.22}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 32.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 1.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 2.76, "can swing on its pin": true}, "balance": {"pair height, mm": 11.3, "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)": 0.8, "centre of mass offset from the grey centre, studs": 1.89}, "openness": {"free studs on the pair": 10, "free hole ends on the pair": 12, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 2.0 x 1.4", "how full that box is (1 = solid)": 0.37, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": -1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.685}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "9.0 x 5.0", "new piece distance from the build centre, studs": 3.59, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 16}, "where": {"joins the": "green Technic Brick 1x4 with holes", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.39, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.92, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.24, "new piece": "Technic Brick 1x6 with holes"}}}, {"name": "32524", "aimed": false, "p": 0.0, "T": [[0.0, -1.0, 0.0, -23.927], [0.0, -0.0, -1.0, -24.0], [1.0, 0.0, 0.0, 15.127], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 7 is pinned (a pin through both) to a existing Technic Beam 5. It lies crossing the existing piece at a right angle. It sits beside the existing piece, at the same height. Along the existing piece it is at one end. It hangs 48 mm past the edge of the existing piece; 100% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 3.51, "same, as a share of the half-length (0 = middle, 1 = at the end)": 3.64, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": -15.4, "farthest point of red from the grey centre, studs": 7.39}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 47.9, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 1.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 0.82, "can swing on its pin": true}, "balance": {"pair height, mm": 38.0, "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)": 8.8, "centre of mass offset from the grey centre, studs": 2.14}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 22, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "7.9 x 2.0 x 4.8", "how full that box is (1 = solid)": 0.12, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.193, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.697}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "8.4 x 5.0", "new piece distance from the build centre, studs": 2.59, "build centre of mass outside the first piece footprint, mm": 2.0, "pieces in the build after": 16}, "where": {"joins the": "green Technic Beam 5", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.39, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.77, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.21, "new piece": "Technic Beam 7"}}}]} {"turn": 15, "might_be": "Statue of Liberty hugging her torch to keep warm", "next": "A green inverted dish on top of the green body, middle, behind the flame: her round head, crown going on.", "want_piece": "round", "want_on": "green", "taste": "a monument hugging her own flame close, like it's cold out", "pick": 0, "candidates": [{"name": "4740", "aimed": true, "p": 0.855, "T": [[1.0, -0.0, -0.0, -8.0], [-0.0, 0.0, -1.0, -4.0], [0.0, 1.0, 0.0, 24.727], [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 Technic Brick 1x2 with hole. It sits beside the existing piece, at the same height. Along the existing piece it is in the middle. It hangs 3 mm past the edge of the existing piece; 67% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.6, "red centre above the grey centre, mm": -0.1, "farthest point of red from the grey centre, studs": 1.35}, "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": 3.2, "share of red footprint not over the grey": 0.67}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 2.8, "can swing on its pin": false}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 2.3, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.21}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 1, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 1.4 x 2.0", "how full that box is (1 = solid)": 0.38, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.7}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 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)": 0.296}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 1.07, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 17}, "where": {"joins the": "green Technic Brick 1x2 with hole", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.53, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.13, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.21, "new piece": "Dish 2 x 2 Inverted"}}}, {"name": "3894", "aimed": false, "p": 0.01, "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 Technic Brick 1x6 with holes is stacked (studs into its underside) to a existing Brick 2x4. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 16 mm past the edge of the existing piece; 33% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 4.46}, "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": 0.33}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 4, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 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": 0.53}, "openness": {"free studs on the pair": 10, "free hole ends on the pair": 10, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.38, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.832}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.0 x 5.0", "new piece distance from the build centre, studs": 1.91, "build centre of mass outside the first piece footprint, mm": 1.1, "pieces in the build after": 17}, "where": {"joins the": "green Brick 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.4, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.06, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.49, "new piece": "Technic Brick 1x6 with holes"}}}, {"name": "3001", "aimed": false, "p": 0.01, "T": [[0.0, -1.0, 0.0, 12.282], [0.0, 0.0, 1.0, -10.4], [-1.0, -0.0, 0.0, 66.037], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick 2x4 is stacked (studs into its underside) to a existing Plate 2 x 2 Round with Axlehole. The new piece stands upright. It sits beside the existing piece, at the same height. It hangs 10 mm past the edge of the existing piece; 93% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.8, "red centre above the grey centre, mm": 16.0, "farthest point of red from the grey centre, studs": 4.66}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 9.6, "share of red footprint not over the grey": 0.93}, "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": 40.0, "height the red adds above the grey top, mm": 24.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 4.6, "centre of mass offset from the grey centre, studs": 1.2}, "openness": {"free studs on the pair": 11, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 1.8 x 5.0", "how full that box is (1 = solid)": 0.3, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.0}}, "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)": 0.193}, "the whole build": {"build height after, mm": 94.8, "build footprint after, studs": "6.5 x 5.0", "new piece distance from the build centre, studs": 5.99, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 17}, "where": {"joins the": "orange Plate 2 x 2 Round with Axlehole", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.11, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.57, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.61, "new piece": "Brick 2x4"}}}, {"name": "32017", "aimed": false, "p": 0.0, "T": [[1.0, -0.0, -0.0, -8.0], [-0.0, 0.0, -1.0, -18.0], [0.0, 1.0, 0.0, 0.655], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 thin (1x5 liftarm) is pinned (a pin through both) to a existing Technic Beam 3x3 bent thin (L). The new piece stands upright. It sits beside the existing piece, at the same height. Along the existing piece it is at one end. It hangs 4 mm past the edge of the existing piece; 100% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.7, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -24.1, "farthest point of red from the grey centre, studs": 5.6}, "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": 0.1, "past the grey side, mm": 4.0, "share of red footprint not over the grey": 1.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 1.68, "can swing on its pin": true}, "balance": {"pair height, mm": 63.3, "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": 0.75}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 17, "connectors the join covered up": 3}, "shape": {"pair bounding box, studs (long x short x tall)": "2.9 x 1.0 x 7.9", "how full that box is (1 = solid)": 0.24, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.32}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.691}, "the whole build": {"build height after, mm": 77.0, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 2.9, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 17}, "where": {"joins the": "green Technic Beam 3x3 bent thin (L)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.19, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.16, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.35, "new piece": "Technic Beam 5 thin (1x5 liftarm)"}}}]} {"turn": 16, "might_be": "Statue of Liberty, finally lifting her torch", "next": "A tiny green tile on top of the round dish behind the flame, a head peeking up, with the torch arm swung higher.", "want_piece": "tile", "want_on": "green", "taste": "a cold statue who has to choose between hugging her flame and holding it up", "pick": 4, "candidates": [{"name": "3001", "aimed": true, "p": 0.005, "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 Brick 2x4 is stacked (studs into its underside) to a existing Plate 2x4. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is in the middle. It hangs 16 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 3.5}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 16.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 4, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 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": 0.66}, "openness": {"free studs on the pair": 12, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 4.0 x 1.8", "how full that box is (1 = solid)": 0.33, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.67}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.532}, "the whole build": {"build height after, mm": 80.4, "build footprint after, studs": "6.0 x 7.0", "new piece distance from the build centre, studs": 5.16, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 18}, "where": {"joins the": "light grey Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.03, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.51, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.27, "new piece": "Brick 2x4"}}}, {"name": "3659", "aimed": true, "p": 0.005, "T": [[-0.0, 1.0, 0.0, -28.0], [-1.0, -0.0, 0.0, -12.0], [0.0, 0.0, 1.0, 19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch 1 x 4 is stacked (studs into its underside) to a existing Slope Brick 45 2 x 2. It sits underneath the existing piece. It hangs 16 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 3.69}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 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": 0.56}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.32, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.33}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.777}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 2.56, "build centre of mass outside the first piece footprint, mm": 1.5, "pieces in the build after": 18}, "where": {"joins the": "green Slope Brick 45 2 x 2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.43, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.66, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.33, "new piece": "Arch 1 x 4"}}}, {"name": "2412b", "aimed": true, "p": 0.085, "T": [[0.0, -1.0, 0.0, 0.282], [0.0, 0.0, 1.0, -16.8], [-1.0, -0.0, 0.0, 58.037], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Tile 1 x 2 Grille with Groove is stacked (studs into its underside) to a existing Plate 2 x 2 Round with Axlehole. The new piece stands upright. It sits beside the existing piece, at the same height. It hangs 2 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 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": 0.3, "red centre above the grey centre, mm": 8.0, "farthest point of red from the grey centre, studs": 2.29}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 1.6, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 24.0, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.22}, "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 0.8 x 3.0", "how full that box is (1 = solid)": 0.4, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.56}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.464}, "the whole build": {"build height after, mm": 78.8, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 4.63, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 18}, "where": {"joins the": "orange Plate 2 x 2 Round with Axlehole", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.0, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.08, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.57, "new piece": "Tile 1 x 2 Grille with Groove"}}}, {"name": "3894", "aimed": true, "p": 0.02, "T": [[-1.0, 0.0, 0.0, 10.033], [-0.0, -1.0, -0.0, -24.0], [0.0, -0.0, 1.0, 26.787], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x6 with holes is pinned (a pin through both) to a existing Technic Beam 5. It lies crossing the existing piece at a right angle. It sits beside the existing piece, at the same height. Along the existing piece it is off-centre, toward one end. It hangs 33 mm past the edge of the existing piece; 100% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.74, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.77, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": -7.7, "farthest point of red from the grey centre, studs": 4.36}, "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": 22.2, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 1.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 2.7, "can swing on its pin": true}, "balance": {"pair height, mm": 38.0, "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)": 1.0, "centre of mass offset from the grey centre, studs": 0.78}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 17, "connectors the join covered up": 3}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 2.0 x 4.8", "how full that box is (1 = solid)": 0.18, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.12}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 0.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.556}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "8.3 x 5.0", "new piece distance from the build centre, studs": 2.84, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 18}, "where": {"joins the": "green Technic Beam 5", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.51, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.28, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.98, "new piece": "Technic Brick 1x6 with holes"}}}, {"name": "3070b", "aimed": true, "p": 0.61, "T": [[0.0, -1.0, 0.0, 4.0], [1.0, 0.0, 0.0, -8.0], [0.0, 0.0, 1.0, 35.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Tile 1 x 1 with Groove is stacked (studs into its underside) to a existing Plate 1 x 1 Round. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 4 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 2.4, "farthest point of red from the grey centre, studs": 0.87}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 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": 1.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.0}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "1.0 x 1.0 x 0.8", "how full that box is (1 = solid)": 0.68, "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)": 0.702}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 2.01, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 18}, "where": {"joins the": "green Plate 1 x 1 Round", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.65, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.4, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.26, "new piece": "Tile 1 x 1 with Groove"}}}, {"name": "3070b", "aimed": true, "p": 0.025, "T": [[0.0, -1.0, 0.0, -4.0], [1.0, 0.0, 0.0, -0.0], [0.0, 0.0, 1.0, 12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Tile 1 x 1 with Groove is stacked (studs into its underside) to a existing Brick 2x4. It sits on top of the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 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": 5.6, "farthest point of red from the grey centre, studs": 1.68}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 12.8, "height the red adds above the grey top, mm": 1.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.04}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.6", "how full that box is (1 = solid)": 0.55, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.71}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.065}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 2.11, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 18}, "where": {"joins the": "green Brick 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.33, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.31, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.22, "new piece": "Tile 1 x 1 with Groove"}}}, {"name": "3070b", "aimed": true, "p": 0.015, "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 Tile 1 x 1 with Groove is stacked (studs into its underside) to a existing Brick 2x4. It sits on top of the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 5.6, "farthest point of red from the grey centre, studs": 2.41}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 12.8, "height the red adds above the grey top, mm": 1.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.1}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.6", "how full that box is (1 = solid)": 0.55, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.46}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.065}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 2.56, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 18}, "where": {"joins the": "green Brick 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.33, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.55, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.03, "new piece": "Tile 1 x 1 with Groove"}}}, {"name": "3070b", "aimed": true, "p": 0.045, "T": [[-0.0, 1.0, 0.0, -20.0], [-1.0, -0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 32.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Tile 1 x 1 with Groove is stacked (studs into its underside) to a existing Slope Brick 45 2 x 2. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 5.6, "farthest point of red from the grey centre, studs": 1.68}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 12.8, "height the red adds above the grey top, mm": 1.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.22}, "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 1.6", "how full that box is (1 = solid)": 0.57, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.155}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 2.15, "build centre of mass outside the first piece footprint, mm": 0.1, "pieces in the build after": 18}, "where": {"joins the": "green Slope Brick 45 2 x 2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.6, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.19, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.58, "new piece": "Tile 1 x 1 with Groove"}}}]} {"turn": 17, "might_be": "Statue of Liberty hugging her torch to keep warm", "next": "A green rounded-top brick standing on the round dish behind the flame, rising up: her head peeking over the torch.", "want_piece": "brick", "want_on": "green", "taste": "a monument hugging her torch close, like it's cold out", "pick": 3, "candidates": [{"name": "6091", "aimed": true, "p": 0.13, "T": [[1.0, 0.0, 0.0, -12.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 41.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick 2 x 1 x 1.333 with Curved Top is stacked (studs into its underside) to a existing Technic Brick 1x2 with hole. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 10.4, "farthest point of red from the grey centre, studs": 2.48}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 22.4, "height the red adds above the grey top, mm": 11.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.34}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 2, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 2.8", "how full that box is (1 = solid)": 0.32, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.864}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 2.01, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 19}, "where": {"joins the": "green Technic Brick 1x2 with hole", "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)": 0.0, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.28, "new piece": "Brick 2 x 1 x 1.333 with Curved Top"}}}, {"name": "6091", "aimed": true, "p": 0.075, "T": [[1.0, 0.0, 0.0, -4.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 41.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick 2 x 1 x 1.333 with Curved Top is stacked (studs into its underside) to a existing Technic Brick 1x2 with hole. It sits on top of the existing piece. Along the existing piece it is off-centre, toward one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 10.4, "farthest point of red from the grey centre, studs": 2.48}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 22.4, "height the red adds above the grey top, mm": 11.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.34}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 2, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 2.8", "how full that box is (1 = solid)": 0.32, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.864}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 1.99, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 19}, "where": {"joins the": "green Technic Brick 1x2 with hole", "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)": 0.25, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.1, "new piece": "Brick 2 x 1 x 1.333 with Curved Top"}}}, {"name": "6091", "aimed": true, "p": 0.13, "T": [[0.0, -1.0, 0.0, -20.0], [1.0, 0.0, 0.0, -8.0], [0.0, 0.0, 1.0, 41.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick 2 x 1 x 1.333 with Curved Top is stacked (studs into its underside) to a existing Technic Brick 1x2 with hole. 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": 10.4, "farthest point of red from the grey centre, studs": 2.67}, "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": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 22.4, "height the red adds above the grey top, mm": 11.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.48}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 2, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 1.0 x 2.8", "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)": 0.917}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 2.07, "build centre of mass outside the first piece footprint, mm": 0.2, "pieces in the build after": 19}, "where": {"joins the": "green Technic Brick 1x2 with hole", "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)": -0.24, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.22, "new piece": "Brick 2 x 1 x 1.333 with Curved Top"}}}, {"name": "6091", "aimed": true, "p": 0.405, "T": [[-0.0, 1.0, 0.0, -4.0], [-1.0, -0.0, 0.0, -8.0], [0.0, 0.0, 1.0, 41.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick 2 x 1 x 1.333 with Curved Top is stacked (studs into its underside) to a existing Technic Brick 1x2 with hole. 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": 10.4, "farthest point of red from the grey centre, studs": 2.16}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 22.4, "height the red adds above the grey top, mm": 11.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.05}, "openness": {"free studs on the pair": 1, "free hole ends on the pair": 2, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 1.0 x 2.8", "how full that box is (1 = solid)": 0.64, "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)": 0.838}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 1.73, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 19}, "where": {"joins the": "green Technic Brick 1x2 with hole", "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)": 0.06, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.0, "new piece": "Brick 2 x 1 x 1.333 with Curved Top"}}}, {"name": "6091", "aimed": false, "p": 0.11, "T": [[1.0, 0.0, 0.0, 4.0], [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 Brick 2 x 1 x 1.333 with Curved Top is stacked (studs into its underside) to a existing Brick 2x4. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 10.4, "farthest point of red from the grey centre, studs": 3.3}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 22.4, "height the red adds above the grey top, mm": 11.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.36}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 3.0 x 2.8", "how full that box is (1 = solid)": 0.26, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.29}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.266}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 6.0", "new piece distance from the build centre, studs": 2.51, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 19}, "where": {"joins the": "green Brick 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.43, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.65, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.21, "new piece": "Brick 2 x 1 x 1.333 with Curved Top"}}}, {"name": "3894", "aimed": false, "p": 0.01, "T": [[-1.0, -0.0, 0.0, -40.0], [0.0, -1.0, 0.0, -32.0], [0.0, 0.0, 1.0, 51.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Brick 1x6 with holes is stacked (studs into its underside) to a existing 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 40 mm past the edge of the existing piece; 83% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 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": 2.5, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 6.09}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 40.0, "share of red footprint not over the grey": 0.83}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 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)": 9.1, "centre of mass offset from the grey centre, studs": 1.91}, "openness": {"free studs on the pair": 9, "free hole ends on the pair": 10, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 4.0 x 2.6", "how full that box is (1 = solid)": 0.13, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.12}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.645}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "10.0 x 5.0", "new piece distance from the build centre, studs": 5.72, "build centre of mass outside the first piece footprint, mm": 4.1, "pieces in the build after": 19}, "where": {"joins the": "green Arch 1 x 4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.85, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -1.42, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.13, "new piece": "Technic Brick 1x6 with holes"}}}, {"name": "3659", "aimed": false, "p": 0.005, "T": [[-1.0, -0.0, 0.0, -16.0], [0.0, -1.0, 0.0, -8.0], [0.0, 0.0, 1.0, -12.8], [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 Plate 2x4. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is at one end. It hangs 16 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 4.39}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 16.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.98}, "openness": {"free studs on the pair": 10, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.29, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.33}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.991}, "the whole build": {"build height after, mm": 80.4, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 4.89, "build centre of mass outside the first piece footprint, mm": 0.5, "pieces in the build after": 19}, "where": {"joins the": "light grey Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.03, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.22, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.2, "new piece": "Arch 1 x 4"}}}]} {"turn": 18, "might_be": "Statue of Liberty, torch up, no face yet", "next": "A thin green beam standing on the curved-top head brick behind the flame, sticking up past the torch: a crown ray.", "want_piece": "beam", "want_on": "green", "taste": "a torch finally held up, and a face still to come", "pick": 4, "candidates": [{"name": "32017", "aimed": true, "p": 0.05, "T": [[1.0, 0.0, 0.0, -0.0], [0.0, 0.0, -1.0, -22.0], [-0.0, 1.0, 0.0, 7.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 thin (1x5 liftarm) is pinned (a pin through both) to a existing Technic Beam 5. The new piece stands upright. It sits beside the existing piece, at the same height. Along the existing piece it is at one end. It hangs 4 mm past the edge of the existing piece; 100% 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": 0.52, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.53, "red centre across the grey, studs from its centre": 0.75, "red centre above the grey centre, mm": -23.3, "farthest point of red from the grey centre, studs": 5.48}, "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": 4.0, "share of red footprint not over the grey": 1.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 1.72, "can swing on its pin": true}, "balance": {"pair height, mm": 61.9, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.33}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 16, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "1.9 x 1.5 x 7.7", "how full that box is (1 = solid)": 0.3, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.36}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.285, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the 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": 70.8, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 2.74, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 20}, "where": {"joins the": "green Technic Beam 5", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.28, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.01, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.68, "new piece": "Technic Beam 5 thin (1x5 liftarm)"}}}, {"name": "32017", "aimed": true, "p": 0.005, "T": [[0.0, 1.0, -0.0, -32.073], [0.0, -0.0, -1.0, -18.0], [-1.0, -0.0, -0.0, 24.727], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 thin (1x5 liftarm) is pinned (a pin through both) to a existing Technic Beam 3x3 bent thin (L). It lies crossing the existing piece at a right angle. It sits beside the existing piece, at the same height. Along the existing piece it is in the middle. It hangs 24 mm past the edge of the existing piece; 100% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.38, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -0.0, "farthest point of red from the grey centre, studs": 4.51}, "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": 4.0, "share of red footprint not over the grey": 1.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 1.71, "can swing on its pin": true}, "balance": {"pair height, mm": 39.2, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.42}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 16, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "5.9 x 1.0 x 4.9", "how full that box is (1 = solid)": 0.19, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.17}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.5, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.691}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "8.5 x 5.0", "new piece distance from the build centre, studs": 3.2, "build centre of mass outside the first piece footprint, mm": 1.0, "pieces in the build after": 20}, "where": {"joins the": "green Technic Beam 3x3 bent thin (L)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.53, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.9, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.2, "new piece": "Technic Beam 5 thin (1x5 liftarm)"}}}, {"name": "32017", "aimed": true, "p": 0.11, "T": [[-1.0, 0.0, -0.0, -8.0], [0.0, 0.0, -1.0, -18.0], [-0.0, -1.0, -0.0, 8.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 thin (1x5 liftarm) is pinned (a pin through both) to a existing Technic Beam 3x3 bent thin (L). The new piece stands upright. It sits beside the existing piece, at the same height. Along the existing piece it is at one end. It hangs 4 mm past the edge of the existing piece; 100% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.7, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -15.9, "farthest point of red from the grey centre, studs": 4.62}, "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": 0.1, "past the grey side, mm": 4.0, "share of red footprint not over the grey": 1.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 2.59, "can swing on its pin": true}, "balance": {"pair height, mm": 55.1, "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": 0.75}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 15, "connectors the join covered up": 5}, "shape": {"pair bounding box, studs (long x short x tall)": "2.9 x 1.0 x 6.9", "how full that box is (1 = solid)": 0.28, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.32}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.498, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.691}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 2.15, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 20}, "where": {"joins the": "green Technic Beam 3x3 bent thin (L)", "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)": -0.16, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.35, "new piece": "Technic Beam 5 thin (1x5 liftarm)"}}}, {"name": "32017", "aimed": true, "p": 0.01, "T": [[0.0, -1.0, 0.0, 22.247], [0.0, -0.0, -1.0, -22.0], [1.0, 0.0, 0.0, 38.169], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 thin (1x5 liftarm) is pinned (a pin through both) to a existing Technic Beam 5. It lies crossing the existing piece at a right angle. It sits beside the existing piece, at the same height. Along the existing piece it is off-centre, toward one end. It hangs 30 mm past the edge of the existing piece; 100% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.27, "same, as a share of the half-length (0 = middle, 1 = at the end)": 2.35, "red centre across the grey, studs from its centre": 0.75, "red centre above the grey centre, mm": 7.7, "farthest point of red from the grey centre, studs": 4.92}, "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": 30.0, "past the grey side, mm": 4.0, "share of red footprint not over the grey": 1.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 1.03, "can swing on its pin": true}, "balance": {"pair height, mm": 38.0, "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": 0.87}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 18, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "5.7 x 1.5 x 4.8", "how full that box is (1 = solid)": 0.17, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.12}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.472}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "9.2 x 5.0", "new piece distance from the build centre, studs": 4.37, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 20}, "where": {"joins the": "green Technic Beam 5", "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)": 0.69, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 1.18, "new piece": "Technic Beam 5 thin (1x5 liftarm)"}}}, {"name": "32017", "aimed": true, "p": 0.58, "T": [[1.0, -0.0, -0.0, -8.0], [-0.0, 0.0, -1.0, -18.0], [0.0, 1.0, 0.0, 32.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 5 thin (1x5 liftarm) is pinned (a pin through both) to a existing Technic Beam 3x3 bent thin (L). The new piece stands upright. It sits beside the existing piece, at the same height. Along the existing piece it is off-centre, toward one end. It hangs 4 mm past the edge of the existing piece; 100% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.7, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 8.1, "farthest point of red from the grey centre, studs": 3.7}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.1, "past the grey side, mm": 4.0, "share of red footprint not over the grey": 1.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 3.47, "can swing on its pin": true}, "balance": {"pair height, mm": 47.3, "height the red adds above the grey top, mm": 8.1, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.75}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 13, "connectors the join covered up": 7}, "shape": {"pair bounding box, studs (long x short x tall)": "2.9 x 1.0 x 5.9", "how full that box is (1 = solid)": 0.32, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.32}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.748, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.691}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 1.44, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 20}, "where": {"joins the": "green Technic Beam 3x3 bent thin (L)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.64, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.16, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.35, "new piece": "Technic Beam 5 thin (1x5 liftarm)"}}}, {"name": "3659", "aimed": false, "p": 0.035, "T": [[-1.0, -0.0, 0.0, -8.0], [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 Arch 1 x 4 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 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": 2.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 4.46}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 24.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 1.0, "centre of mass offset from the grey centre, studs": 1.16}, "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 2.6", "how full that box is (1 = solid)": 0.26, "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)": 0.777}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 2.02, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 20}, "where": {"joins the": "green Slope Brick 45 2 x 2", "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)": 0.18, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.31, "new piece": "Arch 1 x 4"}}}, {"name": "3659", "aimed": false, "p": 0.0, "T": [[-1.0, -0.0, 0.0, -24.0], [0.0, -1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch 1 x 4 is stacked (studs into its underside) to a existing Plate 2x4. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 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": 3.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.5, "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": 5.26}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 24.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.44}, "openness": {"free studs on the pair": 11, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "7.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.25, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.33}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.991}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.0 x 5.0", "new piece distance from the build centre, studs": 4.06, "build centre of mass outside the first piece footprint, mm": 1.0, "pieces in the build after": 20}, "where": {"joins the": "light grey Plate 2x4", "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)": -0.31, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.67, "new piece": "Arch 1 x 4"}}}, {"name": "3023", "aimed": false, "p": 0.005, "T": [[1.0, 0.0, 0.0, -16.0], [0.0, 1.0, 0.0, -32.0], [0.0, 0.0, 1.0, 44.8], [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": 70.8, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 3.84, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 20}, "where": {"joins the": "green Arch 1 x 4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.81, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.68, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.68, "new piece": "Plate 1x2"}}}]} {"turn": 19, "might_be": "Statue of Liberty, torch high, crown going on", "next": "A ridged green grille tile on top of the curved green head behind the flame: her crown's ridges.", "want_piece": "tile", "want_on": "green", "taste": "a squat copper lady finally getting her flame up high", "pick": 0, "candidates": [{"name": "2412b", "aimed": true, "p": 0.425, "T": [[1.0, 0.0, 0.0, 0.0], [0.0, 1.0, 0.0, -8.0], [0.0, 0.0, 1.0, 41.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Tile 1 x 2 Grille with Groove is stacked (studs into its underside) to a existing Brick 2 x 1 x 1.333 with Curved Top. It sits beside the existing piece, at the same height. 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": 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": 4.8, "farthest point of red from the grey centre, studs": 2.21}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 0.4, "can swing on its pin": false}, "balance": {"pair height, mm": 12.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.41}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 1.0 x 1.6", "how full that box is (1 = solid)": 0.5, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.347}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 2.13, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 21}, "where": {"joins the": "green Brick 2 x 1 x 1.333 with Curved Top", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.74, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.28, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.17, "new piece": "Tile 1 x 2 Grille with Groove"}}}, {"name": "2412b", "aimed": true, "p": 0.375, "T": [[0.0, -1.0, 0.0, -4.0], [1.0, 0.0, 0.0, -4.0], [0.0, 0.0, 1.0, 41.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Tile 1 x 2 Grille with Groove is stacked (studs into its underside) to a existing Brick 2 x 1 x 1.333 with Curved Top. It sits beside the existing piece, at the same height. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 4.8, "farthest point of red from the grey centre, studs": 1.97}, "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": 0.4, "can swing on its pin": false}, "balance": {"pair height, mm": 12.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.3}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 1.6", "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)": 0.347}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "6.0 x 5.0", "new piece distance from the build centre, studs": 2.1, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 21}, "where": {"joins the": "green Brick 2 x 1 x 1.333 with Curved Top", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.74, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.23, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.07, "new piece": "Tile 1 x 2 Grille with Groove"}}}, {"name": "3659", "aimed": false, "p": 0.05, "T": [[-1.0, -0.0, 0.0, -32.0], [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 Arch 1 x 4 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": 0.5, "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": 3.59}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 16.0, "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": 0.52}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.32, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.42}}, "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)": 0.777}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "8.0 x 5.0", "new piece distance from the build centre, studs": 3.65, "build centre of mass outside the first piece footprint, mm": 1.5, "pieces in the build after": 21}, "where": {"joins the": "green Slope Brick 45 2 x 2", "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)": -0.56, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.85, "new piece": "Arch 1 x 4"}}}, {"name": "3659", "aimed": false, "p": 0.01, "T": [[1.0, 0.0, 0.0, 12.282], [0.0, 0.0, -1.0, -12.0], [-0.0, 1.0, 0.0, 46.037], [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 Technic Beam 5. It lies crossing the existing piece at a right angle. It sits beside the existing piece, at the same height. Along the existing piece it is at one end. It hangs 17 mm past the edge of the existing piece; 93% 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": 1.02, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.06, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 15.5, "farthest point of red from the grey centre, studs": 4.24}, "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": 16.5, "past the grey side, mm": 9.6, "share of red footprint not over the grey": 0.93}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 1.81, "can swing on its pin": false}, "balance": {"pair height, mm": 38.5, "height the red adds above the grey top, mm": 0.5, "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": 0.59}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 9, "connectors the join covered up": 3}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.2 x 4.8", "how full that box is (1 = solid)": 0.21, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.863}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.5 x 5.0", "new piece distance from the build centre, studs": 3.66, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 21}, "where": {"joins the": "green Technic Beam 5", "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)": 0.61, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.52, "new piece": "Arch 1 x 4"}}}, {"name": "3666", "aimed": false, "p": 0.005, "T": [[0.0, -1.0, 0.0, -12.0], [1.0, 0.0, 0.0, 12.0], [0.0, 0.0, 1.0, -12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1 x 6 is stacked (studs into its underside) to a existing Plate 2x4. It lies 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 32 mm past the edge of the existing piece; 67% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 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": 2.0, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 5.43}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 32.0, "share of red footprint not over the grey": 0.67}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.13}, "openness": {"free studs on the pair": 12, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "6.0 x 4.0 x 1.0", "how full that box is (1 = solid)": 0.21, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.12}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.833}, "the whole build": {"build height after, mm": 74.0, "build footprint after, studs": "6.0 x 9.0", "new piece distance from the build centre, studs": 5.58, "build centre of mass outside the first piece footprint, mm": 0.1, "pieces in the build after": 21}, "where": {"joins the": "light grey Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.01, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.29, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.84, "new piece": "Plate 1 x 6"}}}]} {"turn": 20, "might_be": "Statue of Liberty, torch going up", "next": "A small green plate standing on top of the curved green head behind the flame, sticking up: a crown spike showing above.", "want_piece": "plate", "want_on": "green", "taste": "a torch held so close it nearly singes her nose", "pick": 6, "candidates": [{"name": "3659", "aimed": true, "p": 0.0, "T": [[0.0, -1.0, 0.0, 12.0], [1.0, 0.0, 0.0, -4.0], [0.0, 0.0, 1.0, -12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch 1 x 4 is stacked (studs into its underside) to a existing Plate 2x4. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is 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. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "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": 3.2}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.71}, "openness": {"free studs on the pair": 10, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 4.0 x 1.8", "how full that box is (1 = solid)": 0.22, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.62}}, "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)": 0.991}, "the whole build": {"build height after, mm": 80.4, "build footprint after, studs": "7.3 x 6.0", "new piece distance from the build centre, studs": 5.57, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 22}, "where": {"joins the": "light grey Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.03, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.72, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.18, "new piece": "Arch 1 x 4"}}}, {"name": "3659", "aimed": true, "p": 0.03, "T": [[0.0, 1.0, 0.0, -8.0], [0.0, -0.0, 1.0, -20.0], [1.0, 0.0, -0.0, 28.727], [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 Technic Beam 5 thin (1x5 liftarm). The new piece stands upright. It sits beside the existing piece, at the same height. Along the existing piece it is in the middle. It hangs 10 mm past the edge of the existing piece; 87% 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": 0.75, "red centre above the grey centre, mm": -4.1, "farthest point of red from the grey centre, studs": 2.94}, "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": 0.4, "past the grey side, mm": 9.6, "share of red footprint not over the grey": 0.87}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 4, "touching area, square studs": 3.55, "can swing on its pin": false}, "balance": {"pair height, mm": 39.7, "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)": 0.3, "centre of mass offset from the grey centre, studs": 0.29}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 6, "connectors the join covered up": 8}, "shape": {"pair bounding box, studs (long x short x tall)": "1.7 x 1.0 x 5.0", "how full that box is (1 = solid)": 0.56, "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)": 0.407}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.3 x 5.0", "new piece distance from the build centre, studs": 1.48, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 22}, "where": {"joins the": "green Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.59, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.24, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.35, "new piece": "Arch 1 x 4"}}}, {"name": "3023", "aimed": true, "p": 0.02, "T": [[-1.0, -0.0, 0.0, 8.0], [0.0, -1.0, 0.0, -0.0], [0.0, 0.0, 1.0, -12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x2 is stacked (studs into its underside) to a existing Plate 2x4. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is off-centre, toward one end. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -3.2, "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": 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": 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 1.0", "how full that box is (1 = solid)": 0.45, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.284}, "the whole build": {"build height after, mm": 74.0, "build footprint after, studs": "7.3 x 5.0", "new piece distance from the build centre, studs": 5.32, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 22}, "where": {"joins the": "light grey Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.01, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.67, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.04, "new piece": "Plate 1x2"}}}, {"name": "3039", "aimed": true, "p": 0.03, "T": [[0.0, -1.0, 0.0, 12.0], [1.0, 0.0, 0.0, 4.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45 2 x 2 is stacked (studs into its underside) to a existing Plate 2x4. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 3.62}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.94}, "openness": {"free studs on the pair": 9, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 3.0 x 1.8", "how full that box is (1 = solid)": 0.23, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.17}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.784}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.3 x 6.0", "new piece distance from the build centre, studs": 4.84, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 22}, "where": {"joins the": "light grey Plate 2x4", "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)": 0.95, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.03, "new piece": "Slope Brick 45 2 x 2"}}}, {"name": "3023", "aimed": true, "p": 0.02, "T": [[1.0, -0.0, 0.0, -4.0], [-0.0, -0.0, 1.0, -20.0], [-0.0, -1.0, -0.0, 32.727], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x2 is stacked (studs into its underside) to a existing Technic Beam 5 thin (1x5 liftarm). It lies crossing the existing piece at a right angle. It sits beside the existing piece, at the same height. Along the existing piece it is in the middle. It hangs 9 mm past the edge of the existing piece; 85% 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)": 1.11, "red centre across the grey, studs from its centre": 0.35, "red centre above the grey centre, mm": -0.1, "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": 8.4, "past the grey side, mm": 3.2, "share of red footprint not over the grey": 0.85}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 0.9, "can swing on its pin": false}, "balance": {"pair height, mm": 39.2, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.19}, "openness": {"free studs on the pair": 1, "free hole ends on the pair": 9, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 0.9 x 4.9", "how full that box is (1 = solid)": 0.23, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.27}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": -1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.69}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.3 x 5.0", "new piece distance from the build centre, studs": 1.6, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 22}, "where": {"joins the": "green Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.64, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.09, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.39, "new piece": "Plate 1x2"}}}, {"name": "3023", "aimed": true, "p": 0.02, "T": [[-0.0, 1.0, 0.0, -20.0], [-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 Brick 2x4. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "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": 2.49}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 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": 0.2}, "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)": 0.52, "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)": 0.151}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.3 x 5.0", "new piece distance from the build centre, studs": 3.69, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 22}, "where": {"joins the": "green Brick 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.17, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.26, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.49, "new piece": "Plate 1x2"}}}, {"name": "3023", "aimed": true, "p": 0.585, "T": [[-0.0, 1.0, 0.0, 22.627], [-0.0, 0.0, -1.0, -12.0], [-1.0, -0.0, -0.0, 41.755], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x2 is stacked (studs into its underside) to a existing Technic Beam 5. The new piece stands upright. It sits beside the existing piece, at the same height. Along the existing piece it is at one end. It hangs 3 mm past the edge of the existing piece; 69% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.42, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.76, "red centre across the grey, studs from its centre": 0.6, "red centre above the grey centre, mm": 15.4, "farthest point of red from the grey centre, studs": 3.61}, "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": 0.5, "past the grey side, mm": 3.2, "share of red footprint not over the grey": 0.69}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 0.89, "can swing on its pin": false}, "balance": {"pair height, mm": 38.3, "height the red adds above the grey top, mm": 8.5, "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": 0.33}, "openness": {"free studs on the pair": 1, "free hole ends on the pair": 9, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "3.8 x 1.4 x 4.8", "how full that box is (1 = solid)": 0.36, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.32}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.326}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.3 x 5.0", "new piece distance from the build centre, studs": 4.24, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 22}, "where": {"joins the": "green Technic Beam 5", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.77, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.9, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.64, "new piece": "Plate 1x2"}}}, {"name": "3023", "aimed": true, "p": 0.01, "T": [[-1.0, 0.0, 0.0, -28.145], [0.0, 0.0, 1.0, -16.0], [0.0, 1.0, -0.0, 24.727], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1x2 is stacked (studs into its underside) to a existing Technic Beam 3x3 bent thin (L). It lies crossing the existing piece at a right angle. It sits beside the existing piece, at the same height. Along the existing piece it is in the middle. It hangs 8 mm past the edge of the existing piece; 84% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.51, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.04, "red centre across the grey, studs from its centre": 0.35, "red centre above the grey centre, mm": -0.0, "farthest point of red from the grey centre, studs": 2.64}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.5, "past the grey side, mm": 3.2, "share of red footprint not over the grey": 0.84}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 0.94, "can swing on its pin": false}, "balance": {"pair height, mm": 39.2, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.13}, "openness": {"free studs on the pair": 1, "free hole ends on the pair": 9, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 0.9 x 4.9", "how full that box is (1 = solid)": 0.29, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.27}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": -1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.477}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.8 x 5.0", "new piece distance from the build centre, studs": 2.75, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 22}, "where": {"joins the": "green Technic Beam 3x3 bent thin (L)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.53, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.75, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.24, "new piece": "Plate 1x2"}}}]} {"turn": 21, "might_be": "Statue of Liberty, torch high, tablet out", "next": "A green corner plate on top of the curved green head behind the flame, jutting up and out: a jagged crown.", "want_piece": "plate", "want_on": "green", "taste": "a squat copper lady who finally got her torch up", "pick": 4, "candidates": [{"name": "2420", "aimed": true, "p": 0.105, "T": [[-1.0, -0.0, 0.0, -12.0], [0.0, -1.0, 0.0, -32.0], [0.0, 0.0, 1.0, 22.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2 x 2 Corner is stacked (studs into its underside) to a existing Slope Brick 45 2 x 1. 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": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 2.73}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.56}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.29, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.845}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.3 x 6.0", "new piece distance from the build centre, studs": 3.23, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 23}, "where": {"joins the": "green Slope Brick 45 2 x 1", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.49, "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)": 0.64, "new piece": "Plate 2 x 2 Corner"}}}, {"name": "2420", "aimed": true, "p": 0.07, "T": [[-0.0, 1.0, 0.0, 4.0], [-1.0, -0.0, 0.0, 8.0], [0.0, 0.0, 1.0, 12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2 x 2 Corner is stacked (studs into its underside) to a existing Brick 2x4. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 3.72}, "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": 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": 0.39}, "openness": {"free studs on the pair": 10, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 3.0 x 1.8", "how full that box is (1 = solid)": 0.3, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.17}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.224}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.3 x 6.0", "new piece distance from the build centre, studs": 3.05, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 23}, "where": {"joins the": "green Brick 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.35, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.67, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.25, "new piece": "Plate 2 x 2 Corner"}}}, {"name": "2420", "aimed": true, "p": 0.205, "T": [[0.0, -1.0, 0.0, -12.0], [1.0, 0.0, 0.0, -32.0], [0.0, 0.0, 1.0, 44.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2 x 2 Corner is stacked (studs into its underside) to a existing Arch 1 x 4. 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": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 2.66}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 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": 5, "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)": 0.33, "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)": 0.417}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.3 x 5.0", "new piece distance from the build centre, studs": 3.46, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 23}, "where": {"joins the": "green Arch 1 x 4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.8, "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)": 0.47, "new piece": "Plate 2 x 2 Corner"}}}, {"name": "2420", "aimed": true, "p": 0.15, "T": [[-0.0, -1.0, 0.0, -8.0], [-0.0, 0.0, 1.0, -20.0], [-1.0, 0.0, -0.0, 56.873], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2 x 2 Corner is stacked (studs into its underside) to a existing Technic Beam 5 thin (1x5 liftarm). It sits beside the existing piece, at the same height. Along the existing piece it is at one end. It hangs 9 mm past the edge of the existing piece; 85% 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)": 1.11, "red centre across the grey, studs from its centre": 0.35, "red centre above the grey centre, mm": 20.1, "farthest point of red from the grey centre, studs": 3.87}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.4, "past the grey side, mm": 3.2, "share of red footprint not over the grey": 0.85}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 0.85, "can swing on its pin": false}, "balance": {"pair height, mm": 47.7, "height the red adds above the grey top, mm": 8.5, "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": 0.19}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 9, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 0.9 x 6.0", "how full that box is (1 = solid)": 0.26, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.27}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": -1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.976}, "the whole build": {"build height after, mm": 73.7, "build footprint after, studs": "7.3 x 5.0", "new piece distance from the build centre, studs": 3.82, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 23}, "where": {"joins the": "green Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.95, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.32, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.26, "new piece": "Plate 2 x 2 Corner"}}}, {"name": "2420", "aimed": true, "p": 0.285, "T": [[1.0, 0.0, 0.0, -20.0], [0.0, 1.0, 0.0, -40.0], [0.0, 0.0, 1.0, 44.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2 x 2 Corner is stacked (studs into its underside) to a existing Arch 1 x 4. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 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": 3.47}, "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": 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": 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": 0.7}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "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)": 0.417}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.3 x 6.0", "new piece distance from the build centre, studs": 4.31, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 23}, "where": {"joins the": "green Arch 1 x 4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.8, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.83, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.68, "new piece": "Plate 2 x 2 Corner"}}}, {"name": "3665a", "aimed": false, "p": 0.025, "T": [[-1.0, 0.0, 0.0, -8.0], [0.0, -0.0, 1.0, -20.0], [0.0, 1.0, 0.0, 40.727], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45 2 x 1 Inverted without Inner Stopper Ring is stacked (studs into its underside) to a existing Technic Beam 5 thin (1x5 liftarm). The new piece stands upright. It sits beside the existing piece, at the same height. Along the existing piece it is in the middle. It hangs 10 mm past the edge of the existing piece; 87% 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": 0.75, "red centre above the grey centre, mm": 3.9, "farthest point of red from the grey centre, studs": 2.14}, "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": 0.4, "past the grey side, mm": 9.6, "share of red footprint not over the grey": 0.87}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.8, "can swing on its pin": false}, "balance": {"pair height, mm": 39.2, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.21}, "openness": {"free studs on the pair": 1, "free hole ends on the pair": 8, "connectors the join covered up": 3}, "shape": {"pair bounding box, studs (long x short x tall)": "1.7 x 1.0 x 4.9", "how full that box is (1 = solid)": 0.36, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": -1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.816}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.3 x 5.0", "new piece distance from the build centre, studs": 1.78, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 23}, "where": {"joins the": "green Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.67, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.26, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.34, "new piece": "Slope Brick 45 2 x 1 Inverted without Inner Stopper Ring"}}}, {"name": "2420", "aimed": false, "p": 0.03, "T": [[-0.0, -1.0, 0.0, -24.145], [0.0, 0.0, 1.0, -16.0], [-1.0, 0.0, 0.0, 32.727], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2 x 2 Corner is stacked (studs into its underside) to a existing Technic Beam 3x3 bent thin (L). It sits beside the existing piece, at the same height. Along the existing piece it is in the middle. It hangs 8 mm past the edge of the existing piece; 84% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.51, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.04, "red centre across the grey, studs from its centre": 0.35, "red centre above the grey centre, mm": 4.0, "farthest point of red from the grey centre, studs": 2.99}, "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": 8.5, "past the grey side, mm": 3.2, "share of red footprint not over the grey": 0.84}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 1.88, "can swing on its pin": false}, "balance": {"pair height, mm": 39.2, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.1}, "openness": {"free studs on the pair": 1, "free hole ends on the pair": 9, "connectors the join covered up": 3}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 0.9 x 4.9", "how full that box is (1 = solid)": 0.33, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.27}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": -1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.708}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.8 x 5.0", "new piece distance from the build centre, studs": 2.79, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 23}, "where": {"joins the": "green Technic Beam 3x3 bent thin (L)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.61, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.72, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.2, "new piece": "Plate 2 x 2 Corner"}}}, {"name": "3659", "aimed": false, "p": 0.015, "T": [[-0.0, 1.0, 0.0, 4.0], [-1.0, -0.0, 0.0, 12.0], [0.0, 0.0, 1.0, 19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Arch 1 x 4 is stacked (studs into its underside) to a existing Brick 2x4. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is at one end. It 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": 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": 2.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 4.78}, "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)": 0.0, "centre of mass offset from the grey centre, studs": 0.8}, "openness": {"free studs on the pair": 11, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 4.0 x 2.6", "how full that box is (1 = solid)": 0.19, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.12}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.537}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.3 x 8.0", "new piece distance from the build centre, studs": 3.26, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 23}, "where": {"joins the": "green Brick 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.43, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.71, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.52, "new piece": "Arch 1 x 4"}}}]} {"turn": 22, "might_be": "Statue of Liberty, torch high, crown going on", "next": "A thin green bent beam standing on the curved head beside the flame, its arm sticking up and out like crown rays.", "want_piece": "beam", "want_on": "green", "taste": "a flame finally held straight up after all that hugging", "pick": 0, "candidates": [{"name": "2905", "aimed": true, "p": 0.31, "T": [[-0.0, -1.0, -0.0, -8.073], [0.0, 0.0, -1.0, -22.0], [1.0, -0.0, 0.0, 16.873], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 3x3 bent thin (L) is pinned (a pin through both) to a existing Technic Beam 5 thin (1x5 liftarm). The new piece stands upright. It sits beside the existing piece, at the same height. Along the existing piece it is at one end. It hangs 16 mm past the edge of the existing piece; 100% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 2.24, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -15.9, "farthest point of red from the grey centre, studs": 4.5}, "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": 16.1, "past the grey side, mm": 4.0, "share of red footprint not over the grey": 1.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 2.59, "can swing on its pin": true}, "balance": {"pair height, mm": 55.1, "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)": 0.5, "centre of mass offset from the grey centre, studs": 0.42}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 15, "connectors the join covered up": 5}, "shape": {"pair bounding box, studs (long x short x tall)": "2.9 x 1.0 x 6.9", "how full that box is (1 = solid)": 0.28, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.17}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.498, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.691}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.3 x 6.0", "new piece distance from the build centre, studs": 1.89, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 24}, "where": {"joins the": "green Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.42, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.28, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.23, "new piece": "Technic Beam 3x3 bent thin (L)"}}}, {"name": "2905", "aimed": true, "p": 0.05, "T": [[-1.0, -0.0, 0.0, -0.0], [-0.0, 0.0, -1.0, -22.0], [0.0, -1.0, -0.0, 31.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 3x3 bent thin (L) is pinned (a pin through both) to a existing Technic Beam 5. It lies crossing the existing piece at a right angle. It sits beside the existing piece, at the same height. Along the existing piece it is at one end. It hangs 16 mm past the edge of the existing piece; 100% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.41, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.76, "red centre across the grey, studs from its centre": 0.75, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 4.03}, "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": 15.9, "past the grey side, mm": 4.0, "share of red footprint not over the grey": 1.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 8.43, "can swing on its pin": true}, "balance": {"pair height, mm": 29.8, "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": 0.8}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 12, "connectors the join covered up": 8}, "shape": {"pair bounding box, studs (long x short x tall)": "5.7 x 1.5 x 3.7", "how full that box is (1 = solid)": 0.39, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.71}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.3 x 6.0", "new piece distance from the build centre, studs": 1.49, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 24}, "where": {"joins the": "green Technic Beam 5", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.57, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.04, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.46, "new piece": "Technic Beam 3x3 bent thin (L)"}}}, {"name": "2905", "aimed": true, "p": 0.08, "T": [[1.0, 0.0, 0.0, 16.868], [0.0, 0.0, -1.0, -22.0], [-0.0, 1.0, 0.0, 32.068], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 3x3 bent thin (L) is pinned (a pin through both) to a existing Technic Beam 5. It lies crossing the existing piece at a right angle. It sits beside the existing piece, at the same height. Along the existing piece it is off-centre, toward one end. It hangs 10 mm past the edge of the existing piece; 100% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.7, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.38, "red centre across the grey, studs from its centre": 0.75, "red centre above the grey centre, mm": 13.7, "farthest point of red from the grey centre, studs": 3.4}, "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": 10.3, "past the grey side, mm": 4.0, "share of red footprint not over the grey": 1.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 5.8, "can swing on its pin": true}, "balance": {"pair height, mm": 40.2, "height the red adds above the grey top, mm": 10.4, "centre of 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": 0, "free hole ends on the pair": 14, "connectors the join covered up": 6}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 1.5 x 5.0", "how full that box is (1 = solid)": 0.33, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.44}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.71}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "8.6 x 6.0", "new piece distance from the build centre, studs": 3.33, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 24}, "where": {"joins the": "green Technic Beam 5", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.68, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.5, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.79, "new piece": "Technic Beam 3x3 bent thin (L)"}}}, {"name": "2905", "aimed": true, "p": 0.205, "T": [[0.0, -1.0, -0.0, 16.795], [-0.0, 0.0, -1.0, -22.0], [1.0, 0.0, -0.0, 31.995], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 3x3 bent thin (L) is pinned (a pin through both) to a existing Technic Beam 5. The new piece stands upright. It sits beside the existing piece, at the same height. Along the existing piece it is in the middle. It hangs 4 mm past the edge of the existing piece; 100% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.31, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.17, "red centre across the grey, studs from its centre": 0.75, "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": 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": 4.0, "share of red footprint not over the grey": 1.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 10.48, "can swing on its pin": true}, "balance": {"pair height, mm": 40.1, "height the red adds above the grey top, mm": 10.3, "centre of 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": 0, "free hole ends on the pair": 11, "connectors the join covered up": 9}, "shape": {"pair bounding box, studs (long x short x tall)": "3.7 x 1.5 x 5.0", "how full that box is (1 = solid)": 0.45, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.54}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.25, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.757}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.3 x 6.0", "new piece distance from the build centre, studs": 2.82, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 24}, "where": {"joins the": "green Technic Beam 5", "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)": 0.41, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.72, "new piece": "Technic Beam 3x3 bent thin (L)"}}}, {"name": "2905", "aimed": true, "p": 0.115, "T": [[0.0, -1.0, -0.0, 16.795], [-0.0, 0.0, -1.0, -22.0], [1.0, 0.0, -0.0, 23.995], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 3x3 bent thin (L) is pinned (a pin through both) to a existing Technic Beam 5. The new piece stands upright. It sits beside the existing piece, at the same height. Along the existing piece it is in the middle. It hangs 4 mm past the edge of the existing piece; 100% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.31, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.17, "red centre across the grey, studs from its centre": 0.75, "red centre above the grey centre, mm": -2.4, "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": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 4.0, "share of red footprint not over the grey": 1.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 10.81, "can swing on its pin": true}, "balance": {"pair height, mm": 39.2, "height the red adds above the grey top, mm": 2.3, "centre of 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": 0, "free hole ends on the pair": 11, "connectors the join covered up": 9}, "shape": {"pair bounding box, studs (long x short x tall)": "3.7 x 1.5 x 4.9", "how full that box is (1 = solid)": 0.46, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.54}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.252, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.757}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.3 x 6.0", "new piece distance from the build centre, studs": 2.76, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 24}, "where": {"joins the": "green Technic Beam 5", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.52, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.41, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.72, "new piece": "Technic Beam 3x3 bent thin (L)"}}}, {"name": "2905", "aimed": false, "p": 0.125, "T": [[0.0, 1.0, -0.0, -32.073], [0.0, -0.0, -1.0, -18.0], [-1.0, -0.0, -0.0, 24.727], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Technic Beam 3x3 bent thin (L) is pinned (a pin through both) to a existing Technic Beam 3x3 bent thin (L). The new piece stands upright. It sits beside the existing piece, at the same height. Along the existing piece it is in the middle. It hangs 8 mm past the edge of the existing piece; 100% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.69, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 0.0, "farthest point of red from the grey centre, studs": 3.36}, "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": 8.0, "past the grey side, mm": 4.0, "share of red footprint not over the grey": 1.0}, "contact": {"joined by": "pin", "pins": 1, "studs engaged": 0, "touching area, square studs": 9.31, "can swing on its pin": true}, "balance": {"pair height, mm": 39.2, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.56}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 16, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "3.9 x 1.0 x 4.9", "how full that box is (1 = solid)": 0.45, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.32}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.5, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.852}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.8 x 6.0", "new piece distance from the build centre, studs": 2.92, "build centre of mass outside the first piece footprint, mm": 0.4, "pieces in the build after": 24}, "where": {"joins the": "green Technic Beam 3x3 bent thin (L)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.53, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.68, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.23, "new piece": "Technic Beam 3x3 bent thin (L)"}}}, {"name": "3039", "aimed": false, "p": 0.015, "T": [[-0.0, -1.0, 0.0, -8.0], [-0.0, 0.0, 1.0, -20.0], [-1.0, 0.0, -0.0, 36.727], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45 2 x 2 is stacked (studs into its underside) to a existing Technic Beam 5 thin (1x5 liftarm). It sits beside the existing piece, at the same height. Along the existing piece it is in the middle. It hangs 10 mm past the edge of the existing piece; 94% 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)": 1.11, "red centre across the grey, studs from its centre": 0.75, "red centre above the grey centre, mm": 3.9, "farthest point of red from the grey centre, studs": 2.56}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.4, "past the grey side, mm": 9.6, "share of red footprint not over the grey": 0.94}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 1.8, "can swing on its pin": false}, "balance": {"pair height, mm": 39.2, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 1.2, "centre of mass offset from the grey centre, studs": 0.44}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 8, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 1.7 x 4.9", "how full that box is (1 = solid)": 0.28, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": -1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.524}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.3 x 6.0", "new piece distance from the build centre, studs": 1.92, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 24}, "where": {"joins the": "green Technic Beam 5 thin (1x5 liftarm)", "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)": -0.13, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.4, "new piece": "Slope Brick 45 2 x 2"}}}]} {"turn": 23, "might_be": "Statue of Liberty, torch high, crown going on", "next": "A small green block standing on the grille tile behind the flame, rising up past it: her head finally showing.", "want_piece": "small", "want_on": "green", "taste": "a tired copper giant, arms flung wide, still looking for her face", "pick": 1, "candidates": [{"name": "3005", "aimed": true, "p": 0.175, "T": [[0.0, -1.0, 0.0, 4.0], [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 Brick 1 x 1 is stacked (studs into its underside) to a existing Brick 2x4. The new piece stands upright. It sits on top of the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 2.81}, "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": 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": 0.22}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.36, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.46}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.182}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.3 x 6.0", "new piece distance from the build centre, studs": 2.25, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 25}, "where": {"joins the": "green Brick 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.44, "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)": -0.16, "new piece": "Brick 1 x 1"}}}, {"name": "3005", "aimed": true, "p": 0.52, "T": [[0.0, -1.0, 0.0, -20.0], [1.0, 0.0, 0.0, -24.0], [0.0, 0.0, 1.0, 51.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new 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": 70.8, "build footprint after, studs": "7.3 x 6.0", "new piece distance from the build centre, studs": 3.73, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 25}, "where": {"joins the": "green Arch 1 x 4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.89, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.55, "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": 0.015, "T": [[1.0, 0.0, 0.0, -20.0], [0.0, 1.0, 0.0, -8.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick 1 x 1 is stacked (studs into its underside) to a existing Brick 2x4. The new piece stands upright. It sits underneath the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 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": 2.93}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.22}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.36, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.46}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.182}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.3 x 6.0", "new piece distance from the build centre, studs": 3.87, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 25}, "where": {"joins the": "green Brick 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.16, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.27, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.38, "new piece": "Brick 1 x 1"}}}, {"name": "3005", "aimed": true, "p": 0.035, "T": [[-1.0, -0.0, 0.0, -20.0], [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 Slope Brick 45 2 x 2. The new piece stands upright. It sits underneath the existing piece. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 2.37}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.29}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.4, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.436}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.3 x 6.0", "new piece distance from the build centre, studs": 2.51, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 25}, "where": {"joins the": "green Slope Brick 45 2 x 2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.44, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.13, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.64, "new piece": "Brick 1 x 1"}}}, {"name": "3005", "aimed": true, "p": 0.02, "T": [[-0.0, 1.0, 0.0, -16.0], [0.0, 0.0, -1.0, -4.0], [-1.0, -0.0, -0.0, 15.127], [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 Technic Brick 1x4 with holes. It lies crossing the existing piece at a right angle. It sits beside the existing piece, at the same height. Along the existing piece it is off-centre, toward one end. It hangs 10 mm past the edge of the existing piece; 86% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": -0.1, "farthest point of red from the grey centre, studs": 2.32}, "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": 9.6, "share of red footprint not over the grey": 0.86}, "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": 11.2, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.25}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 5, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.2 x 1.4", "how full that box is (1 = solid)": 0.34, "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": 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)": 0.319}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.3 x 6.2", "new piece distance from the build centre, studs": 2.19, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 25}, "where": {"joins the": "green Technic Brick 1x4 with holes", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.39, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.07, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.47, "new piece": "Brick 1 x 1"}}}, {"name": "3298", "aimed": false, "p": 0.005, "T": [[0.0, -1.0, 0.0, -20.0], [1.0, 0.0, 0.0, 4.0], [0.0, 0.0, 1.0, 19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 33 3 x 2 is stacked (studs into its underside) to a existing Slope Brick 45 2 x 2. It sits underneath the existing piece. It hangs 16 mm past the edge of the existing piece; 83% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 1.5, "red centre above the grey centre, mm": -9.6, "farthest point of red from the grey centre, studs": 4.08}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 16.0, "share of red footprint not over the grey": 0.83}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 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": 0.99}, "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)": "4.0 x 3.0 x 2.6", "how full that box is (1 = solid)": 0.27, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.698}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.3 x 7.0", "new piece distance from the build centre, studs": 2.66, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 25}, "where": {"joins the": "green Slope Brick 45 2 x 2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.39, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.11, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.64, "new piece": "Slope Brick 33 3 x 2"}}}, {"name": "3005", "aimed": false, "p": 0.01, "T": [[0.0, 1.0, 0.0, -8.0], [0.0, -0.0, 1.0, -24.0], [1.0, 0.0, -0.0, 16.873], [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 Technic Beam 3x3 bent thin (L). It lies crossing the existing piece at a right angle. It sits beside the existing piece, at the same height. Along the existing piece it is in the middle. It hangs 10 mm past the edge of the existing piece; 87% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.7, "red centre across the grey, studs from its centre": 0.75, "red centre above the grey centre, mm": -0.0, "farthest point of red from the grey centre, studs": 2.15}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.5, "past the grey side, mm": 9.6, "share of red footprint not over the grey": 0.87}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 0.94, "can swing on its pin": false}, "balance": {"pair height, mm": 39.2, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.68}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 9, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 1.7 x 4.9", "how full that box is (1 = solid)": 0.21, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.15}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": -1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.575}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.3 x 6.0", "new piece distance from the build centre, studs": 2.01, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 25}, "where": {"joins the": "green Technic Beam 3x3 bent thin (L)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.42, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.24, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.4, "new piece": "Brick 1 x 1"}}}]} {"turn": 24, "might_be": "Statue of Liberty, torch high, head still hiding", "next": "A small green block standing on the grille tile just beside the flame, rising up: her head finally peeking.", "want_piece": "small", "want_on": "green", "taste": "a flame held above a knot of arms, the head hiding", "pick": 0, "candidates": [{"name": "3005", "aimed": true, "p": 0.425, "T": [[0.0, -1.0, 0.0, -20.0], [1.0, 0.0, 0.0, -24.0], [0.0, 0.0, 1.0, 60.8], [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 Brick 1 x 1. The new piece stands upright. It sits on top of the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 4 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 1.92}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.0}, "openness": {"free studs on the pair": 1, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "1.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.65, "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)": 1.0}, "the whole build": {"build height after, mm": 75.2, "build footprint after, studs": "7.3 x 6.0", "new piece distance from the build centre, studs": 4.59, "build centre of mass outside the first piece footprint, mm": 0.2, "pieces in the build after": 26}, "where": {"joins the": "green Brick 1 x 1", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.02, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.55, "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": 0.045, "T": [[1.0, -0.0, 0.0, -16.0], [-0.0, -0.0, 1.0, -24.0], [-0.0, -1.0, -0.0, 16.873], [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 Technic Beam 3x3 bent thin (L). It lies crossing the existing piece at a right angle. It sits beside the existing piece, at the same height. Along the existing piece it is in the middle. It hangs 10 mm past the edge of the existing piece; 86% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.01, "red centre across the grey, studs from its centre": 0.75, "red centre above the grey centre, mm": -0.0, "farthest point of red from the grey centre, studs": 1.62}, "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": 9.6, "share of red footprint not over the grey": 0.86}, "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": 39.2, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.44}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 9, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "2.9 x 1.7 x 4.9", "how full that box is (1 = solid)": 0.21, "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)": 0.575}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.3 x 6.0", "new piece distance from the build centre, studs": 2.32, "build centre of mass outside the first piece footprint, mm": 0.3, "pieces in the build after": 26}, "where": {"joins the": "green Technic Beam 3x3 bent thin (L)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.42, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.46, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.24, "new piece": "Brick 1 x 1"}}}, {"name": "3005", "aimed": true, "p": 0.195, "T": [[-0.0, 1.0, 0.0, 4.0], [-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 Brick 1 x 1 is stacked (studs into its underside) to a existing Brick 2x4. The new piece stands upright. It sits on top of the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.75, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 2.81}, "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": 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": 0.22}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.36, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.46}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.182}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.3 x 6.0", "new piece distance from the build centre, studs": 2.39, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 26}, "where": {"joins the": "green Brick 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.44, "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)": -0.16, "new piece": "Brick 1 x 1"}}}, {"name": "3005", "aimed": true, "p": 0.08, "T": [[-1.0, 0.0, 0.0, -8.0], [0.0, -0.0, 1.0, -20.0], [0.0, 1.0, 0.0, 48.873], [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 Technic Beam 5 thin (1x5 liftarm). It lies crossing the existing piece at a right angle. It sits beside the existing piece, at the same height. Along the existing piece it is at one end. It hangs 10 mm past the edge of the existing piece; 87% 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": 0.75, "red centre above the grey centre, mm": 16.1, "farthest point of red from the grey centre, studs": 2.94}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.4, "past the grey side, mm": 9.6, "share of red footprint not over the grey": 0.87}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 0.85, "can swing on its pin": false}, "balance": {"pair height, mm": 39.7, "height the red adds above the grey top, mm": 0.5, "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": 0.14}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 9, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "1.7 x 1.0 x 5.0", "how full that box is (1 = solid)": 0.26, "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)": 0.832}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.3 x 6.0", "new piece distance from the build centre, studs": 2.91, "build centre of mass outside the first piece footprint, mm": 0.2, "pieces in the build after": 26}, "where": {"joins the": "green Technic Beam 5 thin (1x5 liftarm)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.87, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.17, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.27, "new piece": "Brick 1 x 1"}}}, {"name": "3005", "aimed": true, "p": 0.055, "T": [[-0.0, -1.0, 0.0, -8.0], [-0.0, 0.0, 1.0, -24.0], [-1.0, 0.0, -0.0, 24.873], [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 Technic Beam 3x3 bent thin (L). It lies crossing the existing piece at a right angle. It sits beside the existing piece, at the same height. Along the existing piece it is off-centre, toward one end. It hangs 10 mm past the edge of the existing piece; 87% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.7, "red centre across the grey, studs from its centre": 0.75, "red centre above the grey centre, mm": 8.0, "farthest point of red from the grey centre, studs": 2.57}, "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": 0.5, "past the grey side, mm": 9.6, "share of red footprint not over the grey": 0.87}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 0.94, "can swing on its pin": false}, "balance": {"pair height, mm": 39.2, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.68}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 9, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 1.7 x 4.9", "how full that box is (1 = solid)": 0.21, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.15}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": -1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.575}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.3 x 6.0", "new piece distance from the build centre, studs": 1.59, "build centre of mass outside the first piece footprint, mm": 0.3, "pieces in the build after": 26}, "where": {"joins the": "green Technic Beam 3x3 bent thin (L)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.53, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.24, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.4, "new piece": "Brick 1 x 1"}}}, {"name": "3034", "aimed": false, "p": 0.01, "T": [[1.0, 0.0, 0.0, -56.0], [0.0, 1.0, 0.0, -12.0], [0.0, 0.0, 1.0, 19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 2x8 is stacked (studs into its underside) to a existing Slope Brick 45 2 x 2. It sits underneath the existing piece. It hangs 56 mm past the edge of the existing piece; 94% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 4.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 8.32}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 56.0, "share of red footprint not over the grey": 0.94}, "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)": 14.2, "centre of mass offset from the grey centre, studs": 2.87}, "openness": {"free studs on the pair": 17, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "9.0 x 3.0 x 1.8", "how full that box is (1 = solid)": 0.19, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.399}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "14.3 x 6.0", "new piece distance from the build centre, studs": 6.24, "build centre of mass outside the first piece footprint, mm": 5.1, "pieces in the build after": 26}, "where": {"joins the": "green Slope Brick 45 2 x 2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.44, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -1.33, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.97, "new piece": "Plate 2x8"}}}, {"name": "3665a", "aimed": false, "p": 0.01, "T": [[-1.0, -0.0, 0.0, -4.0], [0.0, -1.0, 0.0, 0.0], [0.0, 0.0, 1.0, -12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45 2 x 1 Inverted without Inner Stopper Ring is stacked (studs into its underside) to a existing Plate 2x4. It lies crossing the existing piece at a right angle. It sits underneath the existing piece. Along the existing piece it is in the middle. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.25, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 2.29}, "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": 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": 0.47}, "openness": {"free studs on the pair": 9, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 3.0 x 1.8", "how full that box is (1 = solid)": 0.21, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.54}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.504}, "the whole build": {"build height after, mm": 80.4, "build footprint after, studs": "7.3 x 7.0", "new piece distance from the build centre, studs": 5.69, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 26}, "where": {"joins the": "light grey Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.02, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.41, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.5, "new piece": "Slope Brick 45 2 x 1 Inverted without Inner Stopper Ring"}}}, {"name": "3659", "aimed": false, "p": 0.005, "T": [[-1.0, 0.0, 0.0, -12.0], [0.0, -0.0, 1.0, -24.0], [0.0, 1.0, 0.0, 16.873], [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 Technic Beam 3x3 bent thin (L). It lies crossing the existing piece at a right angle. It sits beside the existing piece, at the same height. Along the existing piece it is in the middle. It hangs 10 mm past the edge of the existing piece; 90% 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": 0.51, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.35, "red centre across the grey, studs from its centre": 0.75, "red centre above the grey centre, mm": -0.0, "farthest point of red from the grey centre, studs": 2.94}, "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": 8.5, "past the grey side, mm": 9.6, "share of red footprint not over the grey": 0.9}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 3, "touching area, square studs": 2.9, "can swing on its pin": false}, "balance": {"pair height, mm": 39.2, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.58}, "openness": {"free studs on the pair": 1, "free hole ends on the pair": 7, "connectors the join covered up": 6}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.7 x 4.9", "how full that box is (1 = solid)": 0.23, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.32}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": -1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.59}, "the whole build": {"build height after, mm": 70.8, "build footprint after, studs": "7.3 x 6.0", "new piece distance from the build centre, studs": 2.19, "build centre of mass outside the first piece footprint, mm": 0.8, "pieces in the build after": 26}, "where": {"joins the": "green Technic Beam 3x3 bent thin (L)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.42, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.36, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.34, "new piece": "Arch 1 x 4"}}}]} {"turn": 25, "might_be": "Statue of Liberty, head up at left, torch at chest", "next": "A small green slope on top of the tall green block at left, pointing up: a crown spike on her head.", "want_piece": "slope", "want_on": "green", "taste": "a head showing up where I didn't plan one", "pick": 2, "candidates": [{"name": "3040b", "aimed": true, "p": 0.245, "T": [[-1.0, -0.0, 0.0, -20.0], [0.0, -1.0, 0.0, -24.0], [0.0, 0.0, 1.0, 70.4], [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 Brick 1 x 1. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 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": 0.22}, "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)": 0.686}, "the whole build": {"build height after, mm": 84.8, "build footprint after, studs": "7.3 x 6.0", "new piece distance from the build centre, studs": 5.1, "build centre of mass outside the first piece footprint, mm": 0.5, "pieces in the build after": 27}, "where": {"joins the": "green Brick 1 x 1", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.05, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.5, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.04, "new piece": "Slope Brick 45 2 x 1"}}}, {"name": "3040b", "aimed": true, "p": 0.175, "T": [[1.0, 0.0, 0.0, -20.0], [0.0, 1.0, 0.0, -16.0], [0.0, 0.0, 1.0, 70.4], [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 Brick 1 x 1. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 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": 2.32}, "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": 0.39}, "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)": 0.686}, "the whole build": {"build height after, mm": 84.8, "build footprint after, studs": "7.3 x 6.0", "new piece distance from the build centre, studs": 5.05, "build centre of mass outside the first piece footprint, mm": 0.5, "pieces in the build after": 27}, "where": {"joins the": "green Brick 1 x 1", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.05, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.46, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.04, "new piece": "Slope Brick 45 2 x 1"}}}, {"name": "3040b", "aimed": true, "p": 0.41, "T": [[0.0, -1.0, 0.0, -28.0], [1.0, 0.0, 0.0, -24.0], [0.0, 0.0, 1.0, 70.4], [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 Brick 1 x 1. It lies crossing the existing piece at a right angle. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 9.6, "farthest point of red from the grey centre, studs": 2.32}, "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": 0.39}, "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)": 0.5}}, "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)": 0.604}, "the whole build": {"build height after, mm": 84.8, "build footprint after, studs": "7.3 x 6.0", "new piece distance from the build centre, studs": 5.41, "build centre of mass outside the first piece footprint, mm": 0.6, "pieces in the build after": 27}, "where": {"joins the": "green Brick 1 x 1", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.05, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.69, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.03, "new piece": "Slope Brick 45 2 x 1"}}}, {"name": "3665a", "aimed": false, "p": 0.035, "T": [[-1.0, -0.0, -0.0, -0.0], [-0.0, 0.0, 1.0, -20.0], [-0.0, 1.0, -0.0, 15.127], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45 2 x 1 Inverted without Inner Stopper Ring is stacked (studs into its underside) to a existing Technic Beam 5. The new piece stands upright. It sits beside the existing piece, at the same height. Along the existing piece it is at one end. It hangs 10 mm past the edge of the existing piece; 86% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.41, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.76, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": -15.3, "farthest point of red from the grey centre, studs": 3.55}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 90.0}, "overhang": {"past the grey end, mm": 0.3, "past the grey side, mm": 9.6, "share of red footprint not over the grey": 0.86}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 0.91, "can swing on its pin": false}, "balance": {"pair height, mm": 38.2, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.55}, "openness": {"free studs on the pair": 1, "free hole ends on the pair": 9, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "3.8 x 2.2 x 4.8", "how full that box is (1 = solid)": 0.25, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.12}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": -1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.578}, "the whole build": {"build height after, mm": 75.2, "build footprint after, studs": "7.3 x 6.0", "new piece distance from the build centre, studs": 2.76, "build centre of mass outside the first piece footprint, mm": 0.6, "pieces in the build after": 27}, "where": {"joins the": "green Technic Beam 5", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.29, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.05, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.44, "new piece": "Slope Brick 45 2 x 1 Inverted without Inner Stopper Ring"}}}, {"name": "3040b", "aimed": false, "p": 0.005, "T": [[-0.0, 1.0, 0.0, 4.0], [-1.0, -0.0, 0.0, -0.0], [0.0, 0.0, 1.0, -12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45 2 x 1 is stacked (studs into its underside) to a existing Plate 2x4. It lies parallel to the existing piece. It sits underneath the existing piece. Along the existing piece it is in the middle. It does not hang past the existing piece anywhere. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 2.06}, "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": 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": 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": 8, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.32, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.83}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.496}, "the whole build": {"build height after, mm": 84.8, "build footprint after, studs": "7.3 x 6.0", "new piece distance from the build centre, studs": 5.99, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 27}, "where": {"joins the": "light grey Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.05, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.45, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.22, "new piece": "Slope Brick 45 2 x 1"}}}, {"name": "3665a", "aimed": false, "p": 0.015, "T": [[-0.0, 1.0, 0.0, -12.0], [-1.0, -0.0, 0.0, -40.0], [0.0, 0.0, 1.0, 41.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45 2 x 1 Inverted without Inner Stopper Ring is stacked (studs into its underside) to a existing Plate 2 x 2 Corner. It sits underneath the existing piece. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 2.06}, "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": 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": 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": 0.41}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.43, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.83}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.849}, "the whole build": {"build height after, mm": 75.2, "build footprint after, studs": "7.3 x 6.0", "new piece distance from the build centre, studs": 3.88, "build centre of mass outside the first piece footprint, mm": 1.2, "pieces in the build after": 27}, "where": {"joins the": "green Plate 2 x 2 Corner", "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)": -0.76, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.68, "new piece": "Slope Brick 45 2 x 1 Inverted without Inner Stopper Ring"}}}]} {"turn": 26, "might_be": "Statue of Liberty, torch arm finally the tallest thing", "next": "A small orange slope standing on top of the tall green column at left, pointing up: the flame at the top of the raised arm.", "want_piece": "slope", "want_on": "green", "taste": "an accident that turned out to be the arm, the flame going highest", "pick": 2, "candidates": [{"name": "3040b", "aimed": true, "p": 0.1, "T": [[1.0, 0.0, 0.0, -28.0], [0.0, 1.0, 0.0, -24.0], [0.0, 0.0, 1.0, 80.0], [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 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 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": 2.06}, "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": 0.37}, "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)": 0.88}, "the whole build": {"build height after, mm": 94.4, "build footprint after, studs": "7.3 x 6.0", "new piece distance from the build centre, studs": 6.5, "build centre of mass outside the first piece footprint, mm": 1.3, "pieces in the build after": 28}, "where": {"joins the": "orange Slope Brick 45 2 x 1", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.05, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.82, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.06, "new piece": "Slope Brick 45 2 x 1"}}}, {"name": "3040b", "aimed": true, "p": 0.08, "T": [[1.0, 0.0, 0.0, -28.0], [0.0, 1.0, 0.0, -16.0], [0.0, 0.0, 1.0, 80.0], [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 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 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": 2.48}, "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": 0.45}, "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)": 0.88}, "the whole build": {"build height after, mm": 94.4, "build footprint after, studs": "7.3 x 6.0", "new piece distance from the build centre, studs": 6.32, "build centre of mass outside the first piece footprint, mm": 1.1, "pieces in the build after": 28}, "where": {"joins the": "orange Slope Brick 45 2 x 1", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.05, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.68, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.19, "new piece": "Slope Brick 45 2 x 1"}}}, {"name": "3040b", "aimed": true, "p": 0.39, "T": [[0.0, -1.0, 0.0, -36.0], [1.0, 0.0, 0.0, -24.0], [0.0, 0.0, 1.0, 80.0], [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 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 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": 2.67}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 8.0, "past the grey side, mm": 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": 0.64}, "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)": 0.96}, "the whole build": {"build height after, mm": 94.4, "build footprint after, studs": "8.3 x 6.0", "new piece distance from the build centre, studs": 6.69, "build centre of mass outside the first piece footprint, mm": 1.4, "pieces in the build after": 28}, "where": {"joins the": "orange Slope Brick 45 2 x 1", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.05, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.91, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.13, "new piece": "Slope Brick 45 2 x 1"}}}, {"name": "3040b", "aimed": false, "p": 0.17, "T": [[1.0, -0.0, 0.0, -8.0], [-0.0, -0.0, 1.0, -24.0], [-0.0, -1.0, -0.0, 8.873], [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 Technic Beam 3x3 bent thin (L). The new piece stands upright. It sits beside the existing piece, at the same height. Along the existing piece it is in the middle. It hangs 10 mm past the edge of the existing piece; 87% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.7, "red centre across the grey, studs from its centre": 0.75, "red centre above the grey centre, mm": -4.0, "farthest point of red from the grey centre, studs": 2.57}, "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": 0.5, "past the grey side, mm": 9.6, "share of red footprint not over the grey": 0.87}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.88, "can swing on its pin": false}, "balance": {"pair height, mm": 39.2, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.75}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 8, "connectors the join covered up": 3}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 1.7 x 4.9", "how full that box is (1 = solid)": 0.24, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.15}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": -1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.837}, "the whole build": {"build height after, mm": 84.8, "build footprint after, studs": "7.3 x 6.0", "new piece distance from the build centre, studs": 2.9, "build centre of mass outside the first piece footprint, mm": 1.1, "pieces in the build after": 28}, "where": {"joins the": "green Technic Beam 3x3 bent thin (L)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.29, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.28, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.49, "new piece": "Slope Brick 45 2 x 1"}}}, {"name": "3665a", "aimed": false, "p": 0.025, "T": [[-0.0, 1.0, 0.0, -20.0], [-1.0, -0.0, 0.0, -40.0], [0.0, 0.0, 1.0, 41.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45 2 x 1 Inverted without Inner Stopper Ring is stacked (studs into its underside) to a existing Plate 2 x 2 Corner. It sits underneath the existing piece. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 2.29}, "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": 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": 0.85}, "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)": "3.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.29, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.33}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.71}, "the whole build": {"build height after, mm": 84.8, "build footprint after, studs": "7.3 x 6.0", "new piece distance from the build centre, studs": 4.18, "build centre of mass outside the first piece footprint, mm": 1.7, "pieces in the build after": 28}, "where": {"joins the": "green Plate 2 x 2 Corner", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.62, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.98, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.52, "new piece": "Slope Brick 45 2 x 1 Inverted without Inner Stopper Ring"}}}]} {"turn": 27, "might_be": "Statue of Liberty, torch high, round face looking out", "next": "A small round green plate on top of the round head disc, sticking up: the first crown spike.", "want_piece": "round", "want_on": "green", "taste": "a flame held so high it tips, and a round face under it", "pick": 0, "candidates": [{"name": "3039", "aimed": true, "p": 0.01, "T": [[0.0, -1.0, 0.0, 4.0], [1.0, 0.0, 0.0, -4.0], [0.0, 0.0, 1.0, -12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45 2 x 2 is stacked (studs into its underside) to a existing Plate 2x4. 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": 2.69}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 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": 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": 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)": 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)": 0.784}, "the whole build": {"build height after, mm": 104.0, "build footprint after, studs": "8.3 x 6.0", "new piece distance from the build centre, studs": 6.41, "build centre of mass outside the first piece footprint, mm": 0.6, "pieces in the build after": 29}, "where": {"joins the": "light grey Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.04, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.57, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.02, "new piece": "Slope Brick 45 2 x 2"}}}, {"name": "3665a", "aimed": true, "p": 0.055, "T": [[0.0, -1.0, 0.0, 12.0], [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 Slope Brick 45 2 x 1 Inverted without Inner Stopper Ring is stacked (studs into its underside) to a existing Plate 2x4. It lies parallel to the existing piece. It sits on top of the existing piece. Along the existing piece it is at one end. It hangs 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": 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": 3.42}, "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": 0.81}, "openness": {"free studs on the pair": 9, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "5.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.25, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.33}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.357}, "the whole build": {"build height after, mm": 94.4, "build footprint after, studs": "8.3 x 6.0", "new piece distance from the build centre, studs": 5.58, "build centre of mass outside the first piece footprint, mm": 0.5, "pieces in the build after": 29}, "where": {"joins the": "light grey Plate 2x4", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.12, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.91, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.11, "new piece": "Slope Brick 45 2 x 1 Inverted without Inner Stopper Ring"}}}, {"name": "3665a", "aimed": true, "p": 0.15, "T": [[1.0, 0.0, 0.0, -12.0], [0.0, 1.0, 0.0, -40.0], [0.0, 0.0, 1.0, 54.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45 2 x 1 Inverted without Inner Stopper Ring is stacked (studs into its underside) to a existing Plate 2 x 2 Corner. It sits on top of the existing piece. It hangs 8 mm past the edge of the existing piece; 50% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 2.59}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.8}, "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)": "3.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.29, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.42}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.836}, "the whole build": {"build height after, mm": 94.4, "build footprint after, studs": "8.3 x 7.0", "new piece distance from the build centre, studs": 4.81, "build centre of mass outside the first piece footprint, mm": 2.3, "pieces in the build after": 29}, "where": {"joins the": "green Plate 2 x 2 Corner", "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)": -0.57, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.98, "new piece": "Slope Brick 45 2 x 1 Inverted without Inner Stopper Ring"}}}, {"name": "3665a", "aimed": true, "p": 0.005, "T": [[0.0, 1.0, 0.0, -8.0], [0.0, -0.0, 1.0, -24.0], [1.0, 0.0, -0.0, 16.873], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45 2 x 1 Inverted without Inner Stopper Ring is stacked (studs into its underside) to a existing Technic Beam 3x3 bent thin (L). It lies crossing the existing piece at a right angle. It sits beside the existing piece, at the same height. Along the existing piece it is in the middle. It hangs 10 mm past the edge of the existing piece; 86% 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": 0.51, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.35, "red centre across the grey, studs from its centre": 0.75, "red centre above the grey centre, mm": -0.0, "farthest point of red from the grey centre, studs": 2.15}, "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": 0.5, "past the grey side, mm": 9.6, "share of red footprint not over the grey": 0.86}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.94, "can swing on its pin": false}, "balance": {"pair height, mm": 39.2, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.49}, "openness": {"free studs on the pair": 1, "free hole ends on the pair": 8, "connectors the join covered up": 3}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 1.7 x 4.9", "how full that box is (1 = solid)": 0.24, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.32}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": -1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.65}, "the whole build": {"build height after, mm": 94.4, "build footprint after, studs": "8.3 x 6.0", "new piece distance from the build centre, studs": 2.4, "build centre of mass outside the first piece footprint, mm": 1.8, "pieces in the build after": 29}, "where": {"joins the": "green Technic Beam 3x3 bent thin (L)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.31, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.29, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.3, "new piece": "Slope Brick 45 2 x 1 Inverted without Inner Stopper Ring"}}}, {"name": "6141", "aimed": true, "p": 0.105, "T": [[0.0, -1.0, 0.0, -20.0], [1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1 x 1 Round is stacked (studs into its underside) to a existing Brick 2x4. It sits underneath the existing piece. Along the existing piece it is at one end. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 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": 2.27}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 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": 0.09}, "openness": {"free studs on the pair": 8, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.48, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.46}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.045}, "the whole build": {"build height after, mm": 94.4, "build footprint after, studs": "8.3 x 6.0", "new piece distance from the build centre, studs": 4.63, "build centre of mass outside the first piece footprint, mm": 1.4, "pieces in the build after": 29}, "where": {"joins the": "green Brick 2x4", "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)": -0.05, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.64, "new piece": "Plate 1 x 1 Round"}}}, {"name": "6141", "aimed": true, "p": 0.035, "T": [[-1.0, 0.0, 0.0, -24.145], [0.0, 0.0, 1.0, -16.0], [0.0, 1.0, -0.0, 24.727], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1 x 1 Round is stacked (studs into its underside) to a existing Technic Beam 3x3 bent thin (L). It sits beside the existing piece, at the same height. Along the existing piece it is in the middle. It hangs 3 mm past the edge of the existing piece; 69% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.01, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.7, "red centre across the grey, studs from its centre": 0.35, "red centre above the grey centre, mm": -0.0, "farthest point of red from the grey centre, studs": 1.56}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.5, "past the grey side, mm": 3.2, "share of red footprint not over the grey": 0.69}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 0.94, "can swing on its pin": false}, "balance": {"pair height, mm": 39.2, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.41}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 9, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 0.9 x 4.9", "how full that box is (1 = solid)": 0.34, "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)": 0.143}, "the whole build": {"build height after, mm": 94.4, "build footprint after, studs": "8.3 x 6.0", "new piece distance from the build centre, studs": 2.11, "build centre of mass outside the first piece footprint, mm": 1.5, "pieces in the build after": 29}, "where": {"joins the": "green Technic Beam 3x3 bent thin (L)", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.4, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.42, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.18, "new piece": "Plate 1 x 1 Round"}}}, {"name": "6141", "aimed": true, "p": 0.035, "T": [[-0.0, 1.0, 0.0, -16.0], [0.0, 0.0, -1.0, -4.0], [-1.0, -0.0, -0.0, 15.127], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1 x 1 Round is stacked (studs into its underside) to a existing Technic Brick 1x4 with holes. It sits beside the existing piece, at the same height. Along the existing piece it is off-centre, toward one end. It hangs 3 mm past the edge of the existing piece; 67% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.6, "red centre above the grey centre, mm": -0.1, "farthest point of red from the grey centre, studs": 1.66}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 3.2, "share of red footprint not over the grey": 0.67}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 11.2, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.1}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 5, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 1.4 x 1.4", "how full that box is (1 = solid)": 0.46, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.45}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 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)": 0.08}, "the whole build": {"build height after, mm": 94.4, "build footprint after, studs": "8.3 x 6.0", "new piece distance from the build centre, studs": 2.61, "build centre of mass outside the first piece footprint, mm": 1.3, "pieces in the build after": 29}, "where": {"joins the": "green Technic Brick 1x4 with holes", "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)": 0.01, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.46, "new piece": "Plate 1 x 1 Round"}}}, {"name": "6141", "aimed": true, "p": 0.075, "T": [[0.0, -1.0, 0.0, -28.0], [1.0, 0.0, 0.0, -8.0], [0.0, 0.0, 1.0, 19.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate 1 x 1 Round is stacked (studs into its underside) to a existing Slope Brick 45 2 x 2. It sits underneath the existing piece. It does not hang past the existing piece anywhere. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -6.4, "farthest point of red from the grey centre, studs": 1.56}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.0, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.1}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.5, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.58}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.109}, "the whole build": {"build height after, mm": 94.4, "build footprint after, studs": "8.3 x 6.0", "new piece distance from the build centre, studs": 2.99, "build centre of mass outside the first piece footprint, mm": 1.4, "pieces in the build after": 29}, "where": {"joins the": "green Slope Brick 45 2 x 2", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.33, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.38, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.54, "new piece": "Plate 1 x 1 Round"}}}]}