{"turn": 0, "might_be": "not sure yet", "next": "A small tan curved-top brick on the elbow stud, tucked in, so the corner gets a soft hump.", "want_piece": "brick", "want_on": "tan", "taste": "an awkward L-corner, and not knowing which way it turns", "pick": 0, "candidates": [{"name": "6091", "aimed": true, "p": 0.375, "T": [[-0.0, 1.0, 0.0, 8.0], [-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  2 x  1 x  1.333 with Curved Top is stacked (studs into its underside) to a existing Plate  2 x  2 Corner. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 7.2, "farthest point of red from the grey centre, studs": 1.97}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 11.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.18}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 2.0", "how full that box is (1 = solid)": 0.42, "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)": 0.829}, "the whole build": {"build height after, mm": 16.0, "build footprint after, studs": "2.0 x 2.0", "new piece distance from the build centre, studs": 1.34, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "tan Plate  2 x  2 Corner", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 2.39, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.55, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.27, "new piece": "Brick  2 x  1 x  1.333 with Curved Top"}}}, {"name": "6091", "aimed": true, "p": 0.255, "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 Brick  2 x  1 x  1.333 with Curved Top is stacked (studs into its underside) to a existing Plate  2 x  2 Corner. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 3 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 7.2, "farthest point of red from the grey centre, studs": 1.97}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 11.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.35}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 2.0", "how full that box is (1 = solid)": 0.42, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.842}, "the whole build": {"build height after, mm": 16.0, "build footprint after, studs": "2.0 x 2.0", "new piece distance from the build centre, studs": 1.2, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "tan Plate  2 x  2 Corner", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 2.39, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.09, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.26, "new piece": "Brick  2 x  1 x  1.333 with Curved Top"}}}, {"name": "6091", "aimed": true, "p": 0.15, "T": [[-0.0, 1.0, 0.0, 0.0], [-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  2 x  1 x  1.333 with Curved Top is stacked (studs into its underside) to a existing Plate  2 x  2 Corner. 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. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": -5.6, "farthest point of red from the grey centre, studs": 2.69}, "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": 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": 0.4, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.58}, "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)": 0.31, "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)": 0.855}, "the whole build": {"build height after, mm": 14.4, "build footprint after, studs": "3.0 x 2.0", "new piece distance from the build centre, studs": 1.1, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "tan Plate  2 x  2 Corner", "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)": -0.21, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.65, "new piece": "Brick  2 x  1 x  1.333 with Curved Top"}}}, {"name": "3062b", "aimed": false, "p": 0.03, "T": [[0.0, -1.0, 0.0, 8.0], [1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, -3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  1 Round with Hollow Stud is stacked (studs into its underside) to a existing Plate  2 x  2 Corner. 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": -6.4, "farthest point of red from the grey centre, studs": 1.86}, "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": 0.3}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.28, "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)": 0.526}, "the whole build": {"build height after, mm": 14.4, "build footprint after, studs": "2.0 x 2.0", "new piece distance from the build centre, studs": 1.01, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "tan Plate  2 x  2 Corner", "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)": 0.38, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.5, "new piece": "Brick  1 x  1 Round with Hollow Stud"}}}, {"name": "2420", "aimed": false, "p": 0.02, "T": [[-0.0, 1.0, 0.0, 0.0], [-1.0, -0.0, 0.0, 8.0], [0.0, 0.0, 1.0, 3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  2 x  2 Corner is stacked (studs into its underside) to a existing Plate  2 x  2 Corner. 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": 3.2, "farthest point of red from the grey centre, studs": 1.5}, "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": 3, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.18}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 0, "connectors the join covered up": 3}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.72, "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": 8.0, "build footprint after, studs": "2.0 x 2.0", "new piece distance from the build centre, studs": 0.54, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "tan Plate  2 x  2 Corner", "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)": 0.19, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.18, "new piece": "Plate  2 x  2 Corner"}}}, {"name": "122c01", "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, -3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  2 x  2 with Red Wheels (Complete) is stacked (studs into its underside) to a existing Plate  2 x  2 Corner. 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": -4.8, "farthest point of red from the grey centre, studs": 2.19}, "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": 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": 0.08}, "openness": {"free studs on the pair": 3, "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 1.4", "how full that box is (1 = solid)": 0.56, "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)": 0.515}, "the whole build": {"build height after, mm": 11.2, "build footprint after, studs": "2.0 x 4.0", "new piece distance from the build centre, studs": 0.61, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "tan Plate  2 x  2 Corner", "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)": 0.24, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.0, "new piece": "Plate  2 x  2 with Red Wheels (Complete)"}}}, {"name": "6091", "aimed": false, "p": 0.16, "T": [[1.0, 0.0, 0.0, 8.0], [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  2 x  1 x  1.333 with Curved Top is stacked (studs into its underside) to a existing Plate  2 x  2 Corner. 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. 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": -5.6, "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": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 0.4, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.58}, "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)": 0.31, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.42}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.842}, "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": 1.1, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "tan Plate  2 x  2 Corner", "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)": 0.19, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.74, "new piece": "Brick  2 x  1 x  1.333 with Curved Top"}}}, {"name": "3034", "aimed": false, "p": 0.01, "T": [[1.0, 0.0, 0.0, -12.0], [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 2x8 is stacked (studs into its underside) to a existing Plate  2 x  2 Corner. It sits underneath the existing piece. It hangs 48 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 2 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 2.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 2.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -3.2, "farthest point of red from the grey centre, studs": 6.12}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 40.0, "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": 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)": 5.4, "centre of mass offset from the grey centre, studs": 1.68}, "openness": {"free studs on the pair": 15, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.45, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.5}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.214}, "the whole build": {"build height after, mm": 8.0, "build footprint after, studs": "8.0 x 2.0", "new piece distance from the build centre, studs": 1.87, "build centre of mass outside the first piece footprint, mm": 5.4, "pieces in the build after": 2}, "where": {"joins the": "tan Plate  2 x  2 Corner", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": -0.14, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -1.29, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.77, "new piece": "Plate 2x8"}}}]}
{"turn": 1, "might_be": "not sure yet", "next": "The inverted slope hanging under the tan plate on the left, its sloped face turned down and out, like a bracket.", "want_piece": "slope", "want_on": "tan", "taste": "an awkward part finding the one spot only it can hold", "pick": 1, "candidates": [{"name": "3665a", "aimed": true, "p": 0.345, "T": [[0.0, -1.0, 0.0, 0.0], [1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, -3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new 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": 0.36}, "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)": 0.946}, "the whole build": {"build height after, mm": 25.6, "build footprint after, studs": "2.0 x 3.0", "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": 4}, "where": {"joins the": "tan Plate  2 x  2 Corner", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.32, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.1, "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 Inverted without Inner Stopper Ring"}}}, {"name": "3665a", "aimed": true, "p": 0.4, "T": [[-0.0, 1.0, 0.0, 8.0], [-1.0, -0.0, 0.0, 0.0], [0.0, 0.0, 1.0, -3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new 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)": 0.836}, "the whole build": {"build height after, mm": 25.6, "build footprint after, studs": "2.0 x 3.0", "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": 4}, "where": {"joins the": "tan Plate  2 x  2 Corner", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.32, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.36, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.33, "new piece": "Slope Brick 45  2 x  1 Inverted without Inner Stopper Ring"}}}, {"name": "3665a", "aimed": true, "p": 0.205, "T": [[1.0, 0.0, 0.0, 0.0], [0.0, 1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Slope Brick 45  2 x  1 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": 0.85}, "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)": 0.42}}, "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": 25.6, "build footprint after, studs": "2.0 x 4.0", "new piece distance from the build centre, studs": 1.99, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 4}, "where": {"joins the": "tan Plate  2 x  2 Corner", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.82, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.79, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.62, "new piece": "Slope Brick 45  2 x  1 Inverted without Inner Stopper Ring"}}}, {"name": "2420", "aimed": false, "p": 0.0, "T": [[0.0, -1.0, 0.0, 16.0], [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  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; 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": 5.6, "farthest point of red from the grey centre, studs": 2.62}, "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": 2, "touching area, square studs": 0.4, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 1.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.63}, "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)": 0.31, "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)": 0.829}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "3.0 x 3.0", "new piece distance from the build centre, studs": 1.95, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 4}, "where": {"joins the": "yellow Brick  2 x  1 x  1.333 with Curved Top", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.97, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.94, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.1, "new piece": "Plate  2 x  2 Corner"}}}, {"name": "2420", "aimed": false, "p": 0.005, "T": [[-1.0, -0.0, 0.0, 8.0], [0.0, -1.0, 0.0, 16.0], [0.0, 0.0, 1.0, 12.8], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  2 x  2 Corner 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": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 5.6, "farthest point of red from the grey centre, studs": 1.97}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 0.8, "can swing on its pin": false}, "balance": {"pair height, mm": 14.4, "height the red adds above the grey top, mm": 1.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.35}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.47, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.829}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "2.0 x 3.0", "new piece distance from the build centre, studs": 1.68, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 4}, "where": {"joins the": "yellow Brick  2 x  1 x  1.333 with Curved Top", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.97, "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)": -0.42, "new piece": "Plate  2 x  2 Corner"}}}, {"name": "3747b", "aimed": false, "p": 0.035, "T": [[0.0, -1.0, 0.0, 8.0], [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  2 x  1 x  1.333 with Curved Top. It sits beside the existing piece, at the same height. It hangs 16 mm past the edge of the existing piece; 83% of the new piece's footprint is not over the existing one. 1 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.5, "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": 8.8, "farthest point of red from the grey centre, studs": 3.72}, "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": 0.83}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 0.4, "can swing on its pin": false}, "balance": {"pair height, mm": 20.8, "height the red adds above the grey top, mm": 8.0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 2.3, "centre of mass offset from the grey centre, studs": 1.35}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "4.0 x 2.0 x 2.6", "how full that box is (1 = solid)": 0.33, "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)": 0.764}, "the whole build": {"build height after, mm": 33.6, "build footprint after, studs": "4.0 x 3.0", "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": 4}, "where": {"joins the": "yellow Brick  2 x  1 x  1.333 with Curved Top", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 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)": 0.93, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.69, "new piece": "Slope Brick 33  3 x  2 Inverted with Ribs between Studs"}}}, {"name": "3062b", "aimed": false, "p": 0.0, "T": [[-1.0, -0.0, 0.0, 8.0], [0.0, -1.0, 0.0, 16.0], [0.0, 0.0, 1.0, 6.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  1 Round with Hollow Stud is stacked (studs into its underside) to a existing Brick  2 x  2 Round without Reinforcement. The new piece stands upright. 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": 9.6, "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": 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": 0.16}, "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 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)": 0.281}, "the whole build": {"build height after, mm": 25.6, "build footprint after, studs": "2.0 x 3.0", "new piece distance from the build centre, studs": 1.25, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 4}, "where": {"joins the": "green Brick  2 x  2 Round without Reinforcement", "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)": 0.79, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.49, "new piece": "Brick  1 x  1 Round with Hollow Stud"}}}, {"name": "2420", "aimed": false, "p": 0.01, "T": [[-1.0, -0.0, 0.0, 8.0], [0.0, -1.0, 0.0, 0.0], [0.0, 0.0, 1.0, 3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  2 x  2 Corner is stacked (studs into its underside) to a existing Plate  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. 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": 3.2, "farthest point of red from the grey centre, studs": 2.29}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.5}, "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 1.0", "how full that box is (1 = solid)": 0.48, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.67}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 1.0}, "the whole build": {"build height after, mm": 25.6, "build footprint after, studs": "2.0 x 4.0", "new piece distance from the build centre, studs": 1.31, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 4}, "where": {"joins the": "tan Plate  2 x  2 Corner", "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)": -0.24, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.64, "new piece": "Plate  2 x  2 Corner"}}}]}