{"turn": 0, "forced": false, "might_be": "pickup arm over a record", "next": "A grey axle poking straight out of the round left socket, a stub for a round counterweight.", "want_piece": "long", "want_on": "light grey", "taste": "a long arm with a heavy little weight at the back", "pick": 2, "candidates": [{"name": "3941", "aimed": false, "p": 0.16, "T": [[-1.0, -0.0, 0.0, -4.0], [0.0, -1.0, 0.0, -48.0], [0.0, 0.0, 1.0, 9.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  2 Round without Reinforcement is stacked (studs into its underside) to a existing Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole. 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": 3.0, "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": 4.37}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 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": 1.22}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 2, "connectors the join covered up": 1}, "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)": 0.24, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.38}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.816}, "the whole build": {"build height after, mm": 20.8, "build footprint after, studs": "2.0 x 8.0", "new piece distance from the build centre, studs": 3.3, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "light grey Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.38, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.79, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.62, "new piece": "Brick  2 x  2 Round without Reinforcement"}}}, {"name": "3001", "aimed": false, "p": 0.06, "T": [[1.0, 0.0, 0.0, -12.0], [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 2x4 is stacked (studs into its underside) to a existing Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole. 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 24 mm past the edge of the existing piece; 75% of the new piece's footprint is not over the existing one. 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": 3.0, "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": 1.5, "red centre above the grey centre, mm": 0.0, "farthest point of red from the grey centre, studs": 5.36}, "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": 4, "touching area, square studs": 2.8, "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)": 3.5, "centre of mass offset from the grey centre, studs": 2.1}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 2, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 4.0 x 1.4", "how full that box is (1 = solid)": 0.3, "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)": 0.514}, "the whole build": {"build height after, mm": 11.2, "build footprint after, studs": "4.0 x 8.0", "new piece distance from the build centre, studs": 3.31, "build centre of mass outside the first piece footprint, mm": 3.5, "pieces in the build after": 2}, "where": {"joins the": "light grey Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole", "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)": 0.12, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.91, "new piece": "Brick 2x4"}}}, {"name": "3941", "aimed": false, "p": 0.425, "T": [[-0.0, 1.0, -0.0, 4.0], [0.0, 0.0, 1.0, -56.0], [1.0, 0.0, -0.0, -1.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  2 Round without Reinforcement is stacked (studs into its underside) to a existing Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole. 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. 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": 4.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.12, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 2.4, "farthest point of red from the grey centre, studs": 5.43}, "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": 9.6, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.93}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.4, "can swing on its pin": false}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 4.8, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 1.82}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 1, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "9.2 x 2.0 x 2.0", "how full that box is (1 = solid)": 0.27, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.25}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 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)": 0.816}, "the whole build": {"build height after, mm": 16.0, "build footprint after, studs": "2.0 x 9.2", "new piece distance from the build centre, studs": 4.56, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "light grey Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole", "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)": -0.76, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 1.11, "new piece": "Brick  2 x  2 Round without Reinforcement"}}}, {"name": "3062b", "aimed": false, "p": 0.045, "T": [[1.0, 0.0, 0.0, 8.0], [0.0, 1.0, 0.0, -20.0], [0.0, 0.0, 1.0, 0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  1 x  1 Round with Hollow Stud is stacked (studs into its underside) to a existing Baseplate 16 x 16. The new piece stands upright. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.06, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 5.6, "farthest point of red from the grey centre, studs": 1.72}, "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": 12.8, "height the red adds above the grey top, mm": 9.6, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.01}, "openness": {"free studs on the pair": 256, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "16.0 x 16.0 x 1.6", "how full that box is (1 = solid)": 0.15, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.94}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.009}, "the whole build": {"build height after, mm": 11.2, "build footprint after, studs": "2.0 x 8.0", "new piece distance from the build centre, studs": 1.09, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 2}, "where": {"joins the": "invisible Baseplate 16 x 16", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.6, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.44, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.03, "new piece": "Brick  1 x  1 Round with Hollow Stud"}}}]}
{"turn": 1, "forced": false, "might_be": "pickup arm over a record", "next": "A flat dark grey round plate on the ground, right under the right-hand block, the start of the record.", "want_piece": "round", "want_on": "any", "taste": "an accidental counterweight, and the arm reaching for something round", "pick": 1, "candidates": [{"name": "4032a", "aimed": true, "p": 0.22, "T": [[1.0, 0.0, 0.0, 28.0], [0.0, 1.0, 0.0, -64.0], [0.0, 0.0, 1.0, -6.4], [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 Baseplate 16 x 16. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.12, "red centre across the grey, studs from its centre": 1.0, "red centre above the grey centre, mm": 2.4, "farthest point of red from the grey centre, studs": 2.49}, "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": 6.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.03}, "openness": {"free studs on the pair": 256, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "16.0 x 16.0 x 0.8", "how full that box is (1 = solid)": 0.31, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.88}}, "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)": 0.015}, "the whole build": {"build height after, mm": 17.7, "build footprint after, studs": "5.0 x 10.0", "new piece distance from the build centre, studs": 4.4, "build centre of mass outside the first piece footprint, mm": 2.1, "pieces in the build after": 3}, "where": {"joins the": "invisible Baseplate 16 x 16", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.15, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.22, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 1.2, "new piece": "Plate  2 x  2 Round with Axlehole"}}}, {"name": "4032a", "aimed": true, "p": 0.255, "T": [[-0.0, 1.0, 0.0, 28.0], [-1.0, -0.0, 0.0, -72.0], [0.0, 0.0, 1.0, -6.4], [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 Baseplate 16 x 16. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 1.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.12, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 2.4, "farthest point of red from the grey centre, studs": 2.04}, "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": 6.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.02}, "openness": {"free studs on the pair": 256, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "16.0 x 16.0 x 0.8", "how full that box is (1 = solid)": 0.31, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.94}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.015}, "the whole build": {"build height after, mm": 17.7, "build footprint after, studs": "5.0 x 11.0", "new piece distance from the build centre, studs": 5.09, "build centre of mass outside the first piece footprint, mm": 2.1, "pieces in the build after": 3}, "where": {"joins the": "invisible Baseplate 16 x 16", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.15, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.04, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 1.39, "new piece": "Plate  2 x  2 Round with Axlehole"}}}, {"name": "4032a", "aimed": true, "p": 0.1, "T": [[-1.0, -0.0, 0.0, 20.0], [0.0, -1.0, 0.0, -72.0], [0.0, 0.0, 1.0, -6.4], [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 Baseplate 16 x 16. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 2.4, "farthest point of red from the grey centre, studs": 1.17}, "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": 6.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.0}, "openness": {"free studs on the pair": 256, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "16.0 x 16.0 x 0.8", "how full that box is (1 = solid)": 0.31, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 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)": 0.015}, "the whole build": {"build height after, mm": 17.7, "build footprint after, studs": "4.0 x 11.0", "new piece distance from the build centre, studs": 4.52, "build centre of mass outside the first piece footprint, mm": 0.7, "pieces in the build after": 3}, "where": {"joins the": "invisible Baseplate 16 x 16", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.15, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.26, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 1.27, "new piece": "Plate  2 x  2 Round with Axlehole"}}}, {"name": "3005", "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, 16.073], [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 Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole. 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": 2.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.62, "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": 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": 0.58}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 2, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 1.0 x 2.6", "how full that box is (1 = solid)": 0.36, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.69}}, "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)": 0.354}, "the whole build": {"build height after, mm": 27.3, "build footprint after, studs": "2.0 x 9.2", "new piece distance from the build centre, studs": 5.03, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 3}, "where": {"joins the": "light grey Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.39, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.57, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.65, "new piece": "Brick  1 x  1"}}}, {"name": "3700", "aimed": false, "p": 0.01, "T": [[0.0, -1.0, 0.0, -0.0], [1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 16.073], [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 Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole. 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 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": 3.0, "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": 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": 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": 1.06}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 4, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 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)": 0.62}}, "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)": 0.598}, "the whole build": {"build height after, mm": 27.3, "build footprint after, studs": "2.0 x 9.2", "new piece distance from the build centre, studs": 5.44, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 3}, "where": {"joins the": "light grey Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.29, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.67, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.75, "new piece": "Technic Brick 1x2 with hole"}}}, {"name": "3700", "aimed": false, "p": 0.02, "T": [[-0.0, 1.0, 0.0, -0.0], [0.0, 0.0, -1.0, 8.0], [-1.0, -0.0, -0.0, -1.6], [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 Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole. 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. 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": 4.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.12, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -4.1, "farthest point of red from the grey centre, studs": 5.44}, "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": 9.6, "past the grey side, mm": 0.0, "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": 1.52}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 3, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "9.2 x 1.0 x 2.2", "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)": 0.598}, "the whole build": {"build height after, mm": 17.7, "build footprint after, studs": "2.0 x 10.4", "new piece distance from the build centre, studs": 6.58, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 3}, "where": {"joins the": "light grey Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.45, "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)": -1.01, "new piece": "Technic Brick 1x2 with hole"}}}, {"name": "3005", "aimed": false, "p": 0.015, "T": [[-1.0, -0.0, -0.0, -0.0], [0.0, 0.0, -1.0, 8.0], [0.0, -1.0, -0.0, 2.4], [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 Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole. 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 10 mm past the edge of the existing piece; 86% 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": 4.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.12, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -0.1, "farthest point of red from the grey centre, studs": 5.25}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 9.6, "past the grey side, mm": 0.0, "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": 0.93}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 1, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "9.2 x 1.0 x 1.4", "how full that box is (1 = solid)": 0.59, "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)": 0.354}, "the whole build": {"build height after, mm": 17.7, "build footprint after, studs": "2.0 x 10.4", "new piece distance from the build centre, studs": 6.36, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 3}, "where": {"joins the": "light grey Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole", "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)": 0.88, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.97, "new piece": "Brick  1 x  1"}}}, {"name": "4032a", "aimed": false, "p": 0.195, "T": [[0.0, -1.0, -0.0, -4.0], [0.0, 0.0, -1.0, 8.0], [1.0, 0.0, 0.0, -1.6], [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 Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole. 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; 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": 4.1, "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": 0.5, "red centre above the grey centre, mm": -4.1, "farthest point of red from the grey centre, studs": 4.71}, "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": 3.2, "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": 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": 1.09}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 1, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "8.4 x 2.0 x 2.2", "how full that box is (1 = solid)": 0.22, "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)": 0.376}, "the whole build": {"build height after, mm": 17.7, "build footprint after, studs": "3.0 x 9.6", "new piece distance from the build centre, studs": 6.33, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 3}, "where": {"joins the": "light grey Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.45, "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)": -1.01, "new piece": "Plate  2 x  2 Round with Axlehole"}}}]}
{"turn": 2, "forced": false, "might_be": "pickup arm over a record", "next": "A dark grey dish flat on the ground under the right block, so the needle has something round to drop onto.", "want_piece": "round", "want_on": "any", "taste": "the needle end hanging over something round and dark", "pick": 4, "candidates": [{"name": "4740", "aimed": true, "p": 0.13, "T": [[1.0, 0.0, 0.0, 48.0], [0.0, 1.0, 0.0, -84.0], [0.0, 0.0, 1.0, -6.4], [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 Baseplate 16 x 16. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.06, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 2.4, "farthest point of red from the grey centre, studs": 1.71}, "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": 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": 9, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 6.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.01}, "openness": {"free studs on the pair": 248, "free hole ends on the pair": 0, "connectors the join covered up": 9}, "shape": {"pair bounding box, studs (long x short x tall)": "16.0 x 16.0 x 0.8", "how full that box is (1 = solid)": 0.3, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.94}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.007}, "the whole build": {"build height after, mm": 17.7, "build footprint after, studs": "7.5 x 12.5", "new piece distance from the build centre, studs": 6.21, "build centre of mass outside the first piece footprint, mm": 6.7, "pieces in the build after": 4}, "where": {"joins the": "invisible Baseplate 16 x 16", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.11, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.5, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 1.28, "new piece": "Dish  2 x  2 Inverted"}}}, {"name": "4740", "aimed": true, "p": 0.175, "T": [[1.0, 0.0, 0.0, 40.0], [0.0, 1.0, 0.0, -84.0], [0.0, 0.0, 1.0, -6.4], [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 Baseplate 16 x 16. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.06, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 2.4, "farthest point of red from the grey centre, studs": 1.71}, "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": 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": 9, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 6.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.01}, "openness": {"free studs on the pair": 248, "free hole ends on the pair": 0, "connectors the join covered up": 9}, "shape": {"pair bounding box, studs (long x short x tall)": "16.0 x 16.0 x 0.8", "how full that box is (1 = solid)": 0.3, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.94}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.007}, "the whole build": {"build height after, mm": 17.7, "build footprint after, studs": "6.5 x 12.5", "new piece distance from the build centre, studs": 5.5, "build centre of mass outside the first piece footprint, mm": 5.8, "pieces in the build after": 4}, "where": {"joins the": "invisible Baseplate 16 x 16", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.11, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.21, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 1.19, "new piece": "Dish  2 x  2 Inverted"}}}, {"name": "4740", "aimed": false, "p": 0.26, "T": [[-0.0, 1.0, 0.0, -0.0], [0.0, 0.0, -1.0, 8.0], [-1.0, -0.0, -0.0, 2.4], [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 Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole. 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; 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": 4.1, "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": 0.0, "red centre above the grey centre, mm": -0.1, "farthest point of red from the grey centre, studs": 4.51}, "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": 3.2, "past the grey side, mm": 4.0, "share of red footprint not over the grey": 0.83}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.4, "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": 0.88}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 1, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "8.4 x 2.0 x 2.0", "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": 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)": 0.178}, "the whole build": {"build height after, mm": 20.0, "build footprint after, studs": "5.5 x 11.4", "new piece distance from the build centre, studs": 7.76, "build centre of mass outside the first piece footprint, mm": 1.4, "pieces in the build after": 4}, "where": {"joins the": "light grey Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole", "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)": 0.88, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.98, "new piece": "Dish  2 x  2 Inverted"}}}, {"name": "3941", "aimed": false, "p": 0.01, "T": [[-1.0, -0.0, 0.0, 28.0], [0.0, -1.0, 0.0, -64.0], [0.0, 0.0, 1.0, -0.0], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  2 Round without Reinforcement is stacked (studs into its underside) to a existing Plate  2 x  2 Round with Axlehole. 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": 3.2, "farthest point of red from the grey centre, studs": 2.19}, "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": 1.2, "can swing on its pin": false}, "balance": {"pair height, mm": 11.2, "height the red adds above the grey top, mm": 6.4, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.67}, "openness": {"free studs on the pair": 6, "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 1.4", "how full that box is (1 = solid)": 0.57, "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)": 0.461}, "the whole build": {"build height after, mm": 17.7, "build footprint after, studs": "5.0 x 11.0", "new piece distance from the build centre, studs": 2.66, "build centre of mass outside the first piece footprint, mm": 7.7, "pieces in the build after": 4}, "where": {"joins the": "dark grey Plate  2 x  2 Round with Axlehole", "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)": 0.22, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.68, "new piece": "Brick  2 x  2 Round without Reinforcement"}}}, {"name": "4740", "aimed": false, "p": 0.305, "T": [[-1.0, -0.0, 0.0, 0.0], [0.0, -1.0, 0.0, 4.0], [0.0, 0.0, 1.0, -3.127], [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 Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole. 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; 62% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 3.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.88, "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": 4.63}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 4.0, "past the grey side, mm": 4.0, "share of red footprint not over the grey": 0.62}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.5, "can swing on its pin": false}, "balance": {"pair height, mm": 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": 0.75}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 2, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "8.5 x 2.0 x 1.8", "how full that box is (1 = solid)": 0.23, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.56}}, "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)": 0.178}, "the whole build": {"build height after, mm": 17.7, "build footprint after, studs": "5.5 x 11.5", "new piece distance from the build centre, studs": 7.1, "build centre of mass outside the first piece footprint, mm": 1.4, "pieces in the build after": 4}, "where": {"joins the": "light grey Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.3, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.76, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.88, "new piece": "Dish  2 x  2 Inverted"}}}, {"name": "3941", "aimed": false, "p": 0.015, "T": [[0.0, -1.0, -0.0, -4.0], [0.0, 0.0, -1.0, 8.0], [1.0, 0.0, 0.0, 6.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Brick  2 x  2 Round without Reinforcement is stacked (studs into its underside) to a existing Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole. 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": 4.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.12, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 3.9, "farthest point of red from the grey centre, studs": 5.46}, "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": 9.6, "past the grey side, mm": 8.0, "share of red footprint not over the grey": 0.93}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.21, "can swing on its pin": false}, "balance": {"pair height, mm": 17.5, "height the red adds above the grey top, mm": 6.3, "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": 1.88}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 1, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "9.2 x 2.0 x 2.2", "how full that box is (1 = solid)": 0.25, "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)": 0.816}, "the whole build": {"build height after, mm": 24.0, "build footprint after, studs": "6.0 x 12.2", "new piece distance from the build centre, studs": 8.21, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 4}, "where": {"joins the": "light grey Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.91, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.79, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -1.07, "new piece": "Brick  2 x  2 Round without Reinforcement"}}}, {"name": "4740", "aimed": false, "p": 0.02, "T": [[0.0, -1.0, 0.0, 0.0], [0.0, -0.0, -1.0, -32.0], [1.0, 0.0, -0.0, 2.473], [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 Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole. 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; 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": 0.9, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.23, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 0.0, "farthest point of red from the grey centre, studs": 1.24}, "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": 4.0, "share of red footprint not over the grey": 0.5}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.4, "can swing on its pin": false}, "balance": {"pair height, mm": 16.0, "height the red adds above the grey top, mm": 2.4, "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": 0.12}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 2, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 2.0 x 2.0", "how full that box is (1 = solid)": 0.22, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.89}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have 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)": 0.178}, "the whole build": {"build height after, mm": 20.1, "build footprint after, studs": "5.5 x 11.0", "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": 4}, "where": {"joins the": "light grey Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole", "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)": -0.05, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.24, "new piece": "Dish  2 x  2 Inverted"}}}]}
{"turn": 3, "forced": false, "might_be": "pickup arm over a record", "next": "Another dark grey dish flat on the ground, right beside the first one under the right block, so the record grows wider.", "want_piece": "round", "want_on": "dark grey", "taste": "a needle end coming down onto something round and dark", "pick": 1, "candidates": [{"name": "4740", "aimed": true, "p": 0.3, "T": [[1.0, 0.0, 0.0, 40.0], [0.0, 1.0, 0.0, -4.0], [0.0, 0.0, 1.0, -6.4], [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 Baseplate 16 x 16. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.06, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 2.4, "farthest point of red from the grey centre, studs": 1.71}, "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": 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": 9, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 6.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.01}, "openness": {"free studs on the pair": 248, "free hole ends on the pair": 0, "connectors the join covered up": 9}, "shape": {"pair bounding box, studs (long x short x tall)": "16.0 x 16.0 x 0.8", "how full that box is (1 = solid)": 0.3, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.94}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.007}, "the whole build": {"build height after, mm": 17.7, "build footprint after, studs": "7.0 x 9.7", "new piece distance from the build centre, studs": 5.85, "build centre of mass outside the first piece footprint, mm": 2.7, "pieces in the build after": 5}, "where": {"joins the": "invisible Baseplate 16 x 16", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.11, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 1.91, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.02, "new piece": "Dish  2 x  2 Inverted"}}}, {"name": "4740", "aimed": true, "p": 0.395, "T": [[1.0, 0.0, 0.0, 40.0], [0.0, 1.0, 0.0, -12.0], [0.0, 0.0, 1.0, -6.4], [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 Baseplate 16 x 16. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.06, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 2.4, "farthest point of red from the grey centre, studs": 1.71}, "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": 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": 9, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 6.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.01}, "openness": {"free studs on the pair": 248, "free hole ends on the pair": 0, "connectors the join covered up": 9}, "shape": {"pair bounding box, studs (long x short x tall)": "16.0 x 16.0 x 0.8", "how full that box is (1 = solid)": 0.3, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.94}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.007}, "the whole build": {"build height after, mm": 17.7, "build footprint after, studs": "7.0 x 9.7", "new piece distance from the build centre, studs": 5.28, "build centre of mass outside the first piece footprint, mm": 2.7, "pieces in the build after": 5}, "where": {"joins the": "invisible Baseplate 16 x 16", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.11, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 1.73, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.16, "new piece": "Dish  2 x  2 Inverted"}}}, {"name": "3747b", "aimed": false, "p": 0.01, "T": [[1.0, 0.0, -0.0, 12.0], [0.0, 0.0, 1.0, -43.2], [0.0, -1.0, 0.0, -5.6], [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 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; 86% 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": 0.8, "red centre above the grey centre, mm": 4.0, "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": 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": 4, "touching area, square studs": 4.0, "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)": 4.2, "centre of mass offset from the grey centre, studs": 0.83}, "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)": "2.0 x 1.8 x 3.0", "how full that box is (1 = solid)": 0.6, "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)": 0.342}, "the whole build": {"build height after, mm": 24.0, "build footprint after, studs": "3.5 x 9.7", "new piece distance from the build centre, studs": 1.9, "build centre of mass outside the first piece footprint, mm": 2.2, "pieces in the build after": 5}, "where": {"joins the": "dark grey Plate  2 x  2 Round with Axlehole", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.76, "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)": 0.53, "new piece": "Slope Brick 33  3 x  2 Inverted with Ribs between Studs"}}}, {"name": "59900", "aimed": false, "p": 0.01, "T": [[1.0, 0.0, -0.0, 8.0], [0.0, 0.0, 1.0, -43.2], [0.0, -1.0, 0.0, 2.4], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Cone  1 x  1 with Stop is stacked (studs into its underside) to a existing Plate  2 x  2 Round with Axlehole. It sits beside the existing piece, at the same height. It hangs 10 mm past the edge of the existing piece; 86% 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": 0.8, "red centre above the grey centre, mm": 4.0, "farthest point of red from the grey centre, studs": 1.81}, "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": 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": 16.0, "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": 0.35}, "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 1.8 x 2.0", "how full that box is (1 = solid)": 0.32, "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)": 0.431}, "the whole build": {"build height after, mm": 17.7, "build footprint after, studs": "3.5 x 9.7", "new piece distance from the build centre, studs": 1.88, "build centre of mass outside the first piece footprint, mm": 0.0, "pieces in the build after": 5}, "where": {"joins the": "dark grey Plate  2 x  2 Round with Axlehole", "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)": -0.17, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.52, "new piece": "Cone  1 x  1 with Stop"}}}, {"name": "122c01", "aimed": false, "p": 0.005, "T": [[1.0, 0.0, 0.0, 4.0], [0.0, 1.0, 0.0, -8.0], [0.0, 0.0, 1.0, 9.673], [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 Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole. 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 24 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)": 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": 3.47}, "angle": {"angle between the long axes seen from above, degrees": 90.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 16.0, "share of red footprint not over the grey": 0.75}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.2, "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": 0.92}, "openness": {"free studs on the pair": 6, "free hole ends on the pair": 2, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 4.0 x 1.8", "how full that box is (1 = solid)": 0.2, "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)": 0.868}, "the whole build": {"build height after, mm": 20.9, "build footprint after, studs": "4.0 x 9.7", "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": 5}, "where": {"joins the": "light grey Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.98, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.55, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.45, "new piece": "Plate  2 x  2 with Red Wheels (Complete)"}}}, {"name": "2540", "aimed": false, "p": 0.045, "T": [[0.0, -1.0, -0.0, 16.0], [-0.0, -0.0, 1.0, -49.6], [-1.0, -0.0, -0.0, -1.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  2 with Handle is stacked (studs into its underside) to a existing Plate  2 x  2 Round with Axlehole. It sits beside the existing piece, at the same height. It hangs 6 mm past the edge of the existing piece; 81% 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": 0.9, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.9, "red centre across the grey, studs from its centre": 0.4, "red centre above the grey centre, mm": 0.0, "farthest point of red from the grey centre, studs": 2.02}, "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": 6.4, "past the grey side, mm": 3.2, "share of red footprint not over the grey": 0.81}, "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": 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": 0.6}, "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)": "2.8 x 1.0 x 2.0", "how full that box is (1 = solid)": 0.49, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.3}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.834}, "the whole build": {"build height after, mm": 17.7, "build footprint after, studs": "4.3 x 9.7", "new piece distance from the build centre, studs": 2.98, "build centre of mass outside the first piece footprint, mm": 1.4, "pieces in the build after": 5}, "where": {"joins the": "dark grey Plate  2 x  2 Round with Axlehole", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.45, "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)": 0.77, "new piece": "Plate  1 x  2 with Handle"}}}]}
{"turn": 4, "forced": false, "might_be": "pickup arm over a record", "next": "Another dark grey dish flat on the ground, tucked against the first under the right block, so the record spreads out under the needle.", "want_piece": "round", "want_on": "dark grey", "taste": "a long arm laid gently across a wide dark circle", "pick": 0, "candidates": [{"name": "4740", "aimed": false, "p": 0.545, "T": [[1.0, 0.0, 0.0, 40.0], [0.0, 1.0, 0.0, -12.0], [0.0, 0.0, 1.0, -6.4], [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 Dish  2 x  2 Inverted. It sits beside the existing piece, at the same height. It does not hang past the existing piece anywhere. 6 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.0, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.0, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 0.0, "farthest point of red from the grey centre, studs": 1.04}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 1.2, "can swing on its pin": false}, "balance": {"pair height, mm": 4.8, "height the red adds above the grey top, mm": 0, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.0}, "openness": {"free studs on the pair": 0, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 0.6", "how full that box is (1 = solid)": 0.37, "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": 17.7, "build footprint after, studs": "7.0 x 9.7", "new piece distance from the build centre, studs": 4.23, "build centre of mass outside the first piece footprint, mm": 5.7, "pieces in the build after": 6}, "where": {"joins the": "dark grey Dish  2 x  2 Inverted", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.11, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.79, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.16, "new piece": "Dish  2 x  2 Inverted"}}}, {"name": "4740", "aimed": false, "p": 0.125, "T": [[-1.0, -0.0, 0.0, 0.0], [0.0, -1.0, 0.0, 4.0], [0.0, 0.0, 1.0, -6.327], [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 Dish  2 x  2 Inverted. It sits underneath 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": 1.22}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 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": 1, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.22, "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": 17.7, "build footprint after, studs": "7.0 x 9.7", "new piece distance from the build centre, studs": 4.4, "build centre of mass outside the first piece footprint, mm": 2.1, "pieces in the build after": 6}, "where": {"joins the": "dark grey Dish  2 x  2 Inverted", "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)": 0.09, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.78, "new piece": "Dish  2 x  2 Inverted"}}}, {"name": "4740", "aimed": false, "p": 0.085, "T": [[-0.0, 1.0, 0.0, 0.0], [-1.0, -0.0, 0.0, 4.0], [0.0, 0.0, 1.0, -6.327], [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 Dish  2 x  2 Inverted. It sits underneath 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": 1.22}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 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": 1, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.22, "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": 17.7, "build footprint after, studs": "7.0 x 9.7", "new piece distance from the build centre, studs": 4.4, "build centre of mass outside the first piece footprint, mm": 2.1, "pieces in the build after": 6}, "where": {"joins the": "dark grey Dish  2 x  2 Inverted", "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)": 0.09, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.78, "new piece": "Dish  2 x  2 Inverted"}}}]}
{"turn": 5, "forced": true, "might_be": "pickup arm over a record", "next": "A big flat black disc on the ground right under the right-hand block, much wider than the arm's head.", "want_piece": "round", "want_on": "dark grey", "taste": "a big flat circle with one thin arm reaching onto it", "pick": 5, "candidates": [{"name": "3039", "aimed": false, "p": 0.01, "T": [[0.0, -1.0, -0.0, 16.0], [-0.0, -0.0, 1.0, -43.2], [-1.0, -0.0, -0.0, 1.6], [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  2 x  2 Round with Axlehole. 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. 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": 0.8, "red centre above the grey centre, mm": 0.0, "farthest point of red from the grey centre, studs": 2.26}, "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": 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": 2.0, "can swing on its pin": false}, "balance": {"pair height, mm": 16.0, "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)": 2.3, "centre of mass offset from the grey centre, studs": 0.82}, "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 1.8 x 2.0", "how full that box is (1 = solid)": 0.44, "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)": 0.463}, "the whole build": {"build height after, mm": 20.9, "build footprint after, studs": "10.0 x 9.7", "new piece distance from the build centre, studs": 2.76, "build centre of mass outside the first piece footprint, mm": 9.2, "pieces in the build after": 7}, "where": {"joins the": "dark grey Plate  2 x  2 Round with Axlehole", "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)": -0.4, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.66, "new piece": "Slope Brick 45  2 x  2"}}}, {"name": "15573", "aimed": false, "p": 0.005, "T": [[-1.0, -0.0, 0.0, 44.0], [0.0, -1.0, 0.0, -12.0], [0.0, 0.0, 1.0, -3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  1 x  2 with Groove with 1 Centre Stud, without Understud is stacked (studs into its underside) to a existing Dish  2 x  2 Inverted. It sits on top of the existing piece. It hangs 4 mm past the edge of the existing piece; 25% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 1.66}, "angle": {"angle between the long axes seen from above, degrees": 0.0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 4.0, "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": 1, "touching area, square studs": 1.5, "can swing on its pin": false}, "balance": {"pair height, mm": 8.0, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.24}, "openness": {"free studs on the pair": 1, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.5 x 2.0 x 1.0", "how full that box is (1 = solid)": 0.23, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.75}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.708}, "the whole build": {"build height after, mm": 20.9, "build footprint after, studs": "10.0 x 9.7", "new piece distance from the build centre, studs": 3.42, "build centre of mass outside the first piece footprint, mm": 10.2, "pieces in the build after": 7}, "where": {"joins the": "dark grey Dish  2 x  2 Inverted", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.27, "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)": 0.22, "new piece": "Plate  1 x  2 with Groove with 1 Centre Stud, without Understud"}}}, {"name": "6091", "aimed": false, "p": 0.0, "T": [[-1.0, -0.0, 0.0, -0.0], [0.0, -1.0, 0.0, -4.0], [0.0, 0.0, 1.0, 22.473], [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 Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole. 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": 3.0, "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": 10.4, "farthest point of red from the grey centre, studs": 4.22}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 0.0, "share of red footprint not over the grey": 0.0}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 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": 0.87}, "openness": {"free studs on the pair": 2, "free hole ends on the pair": 2, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 1.0 x 2.8", "how full that box is (1 = solid)": 0.39, "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)": 0.518}, "the whole build": {"build height after, mm": 32.1, "build footprint after, studs": "10.0 x 9.7", "new piece distance from the build centre, studs": 4.57, "build centre of mass outside the first piece footprint, mm": 6.3, "pieces in the build after": 7}, "where": {"joins the": "light grey Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.32, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.23, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.67, "new piece": "Brick  2 x  1 x  1.333 with Curved Top"}}}, {"name": "4032a", "aimed": false, "p": 0.015, "T": [[0.0, -1.0, 0.0, -4.0], [1.0, 0.0, 0.0, 0.0], [0.0, 0.0, 1.0, 12.873], [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 Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole. 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": 3.0, "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": 4.13}, "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": 0.82}, "openness": {"free studs on the pair": 5, "free hole ends on the pair": 2, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 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)": 0.376}, "the whole build": {"build height after, mm": 24.1, "build footprint after, studs": "10.5 x 9.7", "new piece distance from the build centre, studs": 4.63, "build centre of mass outside the first piece footprint, mm": 6.1, "pieces in the build after": 7}, "where": {"joins the": "light grey Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole", "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)": -0.29, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.75, "new piece": "Plate  2 x  2 Round with Axlehole"}}}, {"name": "4032a", "aimed": true, "p": 0.045, "T": [[0.0, -1.0, 0.0, 68.0], [1.0, 0.0, 0.0, -0.0], [0.0, 0.0, 1.0, -3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  2 x  2 Round with Axlehole is stacked (studs into its underside) to a existing Dish  2 x  2 Inverted. It sits on top of the existing piece. It hangs 4 mm past the edge of the existing piece; 44% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 1.85}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 4.0, "past the grey side, mm": 4.0, "share of red footprint not over the grey": 0.44}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 2.25, "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": 0.41}, "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)": "2.5 x 2.5 x 1.0", "how full that box is (1 = solid)": 0.3, "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)": 0.472}, "the whole build": {"build height after, mm": 20.9, "build footprint after, studs": "10.5 x 9.7", "new piece distance from the build centre, studs": 6.76, "build centre of mass outside the first piece footprint, mm": 13.9, "pieces in the build after": 7}, "where": {"joins the": "dark grey Dish  2 x  2 Inverted", "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)": 0.95, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.29, "new piece": "Plate  2 x  2 Round with Axlehole"}}}, {"name": "4032a", "aimed": true, "p": 0.075, "T": [[-1.0, -0.0, -0.0, 20.0], [-0.0, 0.0, 1.0, -49.6], [-0.0, 1.0, -0.0, 1.6], [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 Plate  2 x  2 Round with Axlehole. It sits beside the existing piece, at the same height. It hangs 8 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": 1.0, "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": 0.4, "red centre above the grey centre, mm": 0.0, "farthest point of red from the grey centre, studs": 2.06}, "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": 3.2, "share of red footprint not over the grey": 0.83}, "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": 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": 6, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 1.0 x 2.0", "how full that box is (1 = solid)": 0.48, "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)": 1.0}, "the whole build": {"build height after, mm": 20.9, "build footprint after, studs": "10.0 x 9.7", "new piece distance from the build centre, studs": 3.19, "build centre of mass outside the first piece footprint, mm": 8.7, "pieces in the build after": 7}, "where": {"joins the": "dark grey Plate  2 x  2 Round with Axlehole", "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)": -0.42, "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": "4032a", "aimed": true, "p": 0.015, "T": [[-0.0, 1.0, 0.0, 44.0], [-1.0, -0.0, 0.0, -16.0], [0.0, 0.0, 1.0, -3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  2 x  2 Round with Axlehole is stacked (studs into its underside) to a existing Dish  2 x  2 Inverted. It sits on top of the existing piece. It hangs 4 mm past the edge of the existing piece; 44% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 1.85}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 4.0, "past the grey side, mm": 4.0, "share of red footprint not over the grey": 0.44}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 2.25, "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": 0.41}, "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)": "2.5 x 2.5 x 1.0", "how full that box is (1 = solid)": 0.3, "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)": 0.472}, "the whole build": {"build height after, mm": 20.9, "build footprint after, studs": "10.0 x 9.7", "new piece distance from the build centre, studs": 3.21, "build centre of mass outside the first piece footprint, mm": 11.3, "pieces in the build after": 7}, "where": {"joins the": "dark grey Dish  2 x  2 Inverted", "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)": 0.36, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.31, "new piece": "Plate  2 x  2 Round with Axlehole"}}}, {"name": "4032a", "aimed": true, "p": 0.03, "T": [[0.0, -1.0, -0.0, 12.0], [-0.0, -0.0, 1.0, -49.6], [-1.0, -0.0, -0.0, 1.6], [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 Plate  2 x  2 Round with Axlehole. It sits beside the existing piece, at the same height. It hangs 3 mm past the edge of the existing piece; 67% of the new piece's footprint is not over the existing one. 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": 0.4, "red centre above the grey centre, mm": 0.0, "farthest point of red from the grey centre, studs": 1.22}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 0.0, "past the grey side, mm": 3.2, "share of red footprint not over the grey": 0.67}, "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": 16.0, "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": 0.23}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 4}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 1.0 x 2.0", "how full that box is (1 = solid)": 0.72, "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)": 1.0}, "the whole build": {"build height after, mm": 20.9, "build footprint after, studs": "10.0 x 9.7", "new piece distance from the build centre, studs": 3.35, "build centre of mass outside the first piece footprint, mm": 7.8, "pieces in the build after": 7}, "where": {"joins the": "dark grey Plate  2 x  2 Round with Axlehole", "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)": -0.56, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.64, "new piece": "Plate  2 x  2 Round with Axlehole"}}}]}
{"turn": 6, "forced": false, "might_be": "pickup arm over a record", "next": "Another dark grey dish flat on the ground, right against the dish under the right-hand block, so the record gathers under the tip.", "want_piece": "round", "want_on": "dark grey", "taste": "a long arm with its tip resting on something round and dark", "pick": 1, "candidates": [{"name": "4740", "aimed": true, "p": 0.33, "T": [[1.0, 0.0, 0.0, 80.0], [0.0, 1.0, 0.0, 4.0], [0.0, 0.0, 1.0, -6.4], [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 Baseplate 16 x 16. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.06, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 2.4, "farthest point of red from the grey centre, studs": 1.71}, "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": 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": 9, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 6.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.01}, "openness": {"free studs on the pair": 248, "free hole ends on the pair": 0, "connectors the join covered up": 9}, "shape": {"pair bounding box, studs (long x short x tall)": "16.0 x 16.0 x 0.8", "how full that box is (1 = solid)": 0.3, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.94}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.007}, "the whole build": {"build height after, mm": 20.9, "build footprint after, studs": "12.0 x 9.7", "new piece distance from the build centre, studs": 8.57, "build centre of mass outside the first piece footprint, mm": 13.7, "pieces in the build after": 8}, "where": {"joins the": "invisible Baseplate 16 x 16", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.1, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 1.2, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.37, "new piece": "Dish  2 x  2 Inverted"}}}, {"name": "4740", "aimed": true, "p": 0.47, "T": [[1.0, 0.0, 0.0, 88.0], [0.0, 1.0, 0.0, 4.0], [0.0, 0.0, 1.0, -6.4], [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 Baseplate 16 x 16. It sits on top of the existing piece. It does not hang past the existing piece anywhere. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.06, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 2.4, "farthest point of red from the grey centre, studs": 1.71}, "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": 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": 9, "touching area, square studs": 4.0, "can swing on its pin": false}, "balance": {"pair height, mm": 6.4, "height the red adds above the grey top, mm": 3.2, "centre of mass outside the grey footprint, mm (0 = it would stand on the grey)": 0.0, "centre of mass offset from the grey centre, studs": 0.01}, "openness": {"free studs on the pair": 248, "free hole ends on the pair": 0, "connectors the join covered up": 9}, "shape": {"pair bounding box, studs (long x short x tall)": "16.0 x 16.0 x 0.8", "how full that box is (1 = solid)": 0.3, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.94}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.007}, "the whole build": {"build height after, mm": 20.9, "build footprint after, studs": "13.0 x 9.7", "new piece distance from the build centre, studs": 9.46, "build centre of mass outside the first piece footprint, mm": 14.3, "pieces in the build after": 8}, "where": {"joins the": "invisible Baseplate 16 x 16", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.1, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 1.34, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.49, "new piece": "Dish  2 x  2 Inverted"}}}, {"name": "3262", "aimed": false, "p": 0.015, "T": [[-1.0, -0.0, 0.0, 36.0], [0.0, -1.0, 0.0, -8.0], [0.0, 0.0, 1.0, 3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Cylinder  2 x  2 with Dome Top with Axle Hole and Vented Stud is stacked (studs into its underside) to a existing Dish  2 x  2 Inverted. It sits on top of the existing piece. It hangs 4 mm past the edge of the existing piece; 44% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 6.4, "farthest point of red from the grey centre, studs": 1.87}, "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": 4.0, "past the grey side, mm": 4.0, "share of red footprint not over the grey": 0.44}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 2.25, "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": 0.5}, "openness": {"free studs on the pair": 1, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.5 x 2.5 x 1.8", "how full that box is (1 = solid)": 0.34, "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)": 0.291}, "the whole build": {"build height after, mm": 20.9, "build footprint after, studs": "10.0 x 9.7", "new piece distance from the build centre, studs": 3.24, "build centre of mass outside the first piece footprint, mm": 12.4, "pieces in the build after": 8}, "where": {"joins the": "dark grey Dish  2 x  2 Inverted", "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)": 0.31, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.01, "new piece": "Cylinder  2 x  2 with Dome Top with Axle Hole and Vented Stud"}}}, {"name": "3622", "aimed": false, "p": 0.005, "T": [[1.0, 0.0, 0.0, 8.0], [0.0, 1.0, 0.0, -4.0], [0.0, 0.0, 1.0, 19.273], [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 Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole. 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 16 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": 2.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.62, "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": 4.26}, "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": 0.67}, "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": 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": 1.17}, "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)": "8.0 x 3.0 x 2.6", "how full that box is (1 = solid)": 0.15, "mirror symmetry of the pair about the grey centre (1 = symmetric)": 0.19}}, "more measurements": {"share of the red piece's holes whose axis is parallel to and within about 1 mm of the axis of some hole in the grey piece (soft, fading by about 1.5 mm), plus a small bonus for the count of such shared axes; 0 when the red has no holes": 0.0, "dot product of the red piece's stud-side direction with the grey piece's stud-side direction: 1 when both face the same way, 0 when the red is rolled onto its side, -1 when it is flipped over; for red pieces with no studs (beams, which have no top or bottom) the absolute value, so a beam lying in the grey's plane scores 1 and one standing on edge 0": 1.0, "volume of plastic in the smaller of the two pieces divided by the volume of the larger one (1 = the red and grey pieces hold the same amount of plastic, near 0 = one is tiny next to the other)": 0.969}, "the whole build": {"build height after, mm": 30.5, "build footprint after, studs": "10.0 x 9.7", "new piece distance from the build centre, studs": 4.07, "build centre of mass outside the first piece footprint, mm": 7.8, "pieces in the build after": 8}, "where": {"joins the": "light grey Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 1.28, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.13, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.48, "new piece": "Brick  1 x  3"}}}, {"name": "30248", "aimed": false, "p": 0.01, "T": [[1.0, 0.0, 0.0, 4.0], [0.0, 1.0, 0.0, -4.0], [0.0, 0.0, 1.0, 12.873], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Landing Skids is stacked (studs into its underside) to a existing Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole. 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 40 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": 3.0, "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": 1.6, "farthest point of red from the grey centre, studs": 9.57}, "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": 40.0, "past the grey side, mm": 24.0, "share of red footprint not over the grey": 0.9}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 2, "touching area, square studs": 9.8, "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": 2.74}, "openness": {"free studs on the pair": 23, "free hole ends on the pair": 1, "connectors the join covered up": 3}, "shape": {"pair bounding box, studs (long x short x tall)": "13.0 x 6.0 x 1.8", "how full that box is (1 = solid)": 0.6, "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)": 0.221}, "the whole build": {"build height after, mm": 24.1, "build footprint after, studs": "11.5 x 14.2", "new piece distance from the build centre, studs": 4.54, "build centre of mass outside the first piece footprint, mm": 3.9, "pieces in the build after": 8}, "where": {"joins the": "light grey Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole", "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)": -0.12, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.71, "new piece": "Landing Skids"}}}, {"name": "33121", "aimed": false, "p": 0.005, "T": [[1.0, 0.0, 0.0, -0.0], [0.0, 0.0, -1.0, 8.0], [0.0, 1.0, 0.0, 5.6], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Animal Crab is stacked (studs into its underside) to a existing Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole. It sits beside the existing piece, at the same height. Along the existing piece it is at one end. It hangs 15 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": 4.3, "same, as a share of the half-length (0 = middle, 1 = at the end)": 1.08, "red centre across the grey, studs from its centre": 0.0, "red centre above the grey centre, mm": -1.4, "farthest point of red from the grey centre, studs": 4.89}, "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": 6.4, "past the grey side, mm": 7.4, "share of red footprint not over the grey": 0.93}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 1.4, "can swing on its pin": false}, "balance": {"pair height, mm": 18.9, "height the red adds above the grey top, mm": 2.4, "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": 1.28}, "openness": {"free studs on the pair": 3, "free hole ends on the pair": 1, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "8.8 x 2.8 x 2.4", "how full that box is (1 = solid)": 0.18, "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)": 0.483}, "the whole build": {"build height after, mm": 23.3, "build footprint after, studs": "10.4 x 10.0", "new piece distance from the build centre, studs": 5.55, "build centre of mass outside the first piece footprint, mm": 7.3, "pieces in the build after": 8}, "where": {"joins the": "light grey Bar  1 x  8 with Brick  1 x  2 Curved Top End With Axlehole", "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)": -0.11, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.95, "new piece": "Animal Crab"}}}]}
{"turn": 7, "forced": false, "might_be": "pickup arm over a record", "next": "A dark grey round plate flat on the ground, tucked against the dish under the tip, so the record gathers under the needle.", "want_piece": "round", "want_on": "dark grey", "taste": "a long arm reaching out to rest one small point on something round", "pick": 4, "candidates": [{"name": "4032a", "aimed": false, "p": 0.27, "T": [[-0.0, 1.0, 0.0, -12.0], [-1.0, -0.0, 0.0, -64.0], [0.0, 0.0, 1.0, -3.2], [0.0, 0.0, 0.0, 1.0]], "desc": {"description": "A new Plate  2 x  2 Round with Axlehole is stacked (studs into its underside) to a existing Dish  2 x  2 Inverted. It sits on top of the existing piece. It hangs 4 mm past the edge of the existing piece; 44% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 1.85}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 4.0, "past the grey side, mm": 4.0, "share of red footprint not over the grey": 0.44}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 2.25, "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": 0.41}, "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)": "2.5 x 2.5 x 1.0", "how full that box is (1 = solid)": 0.3, "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)": 0.472}, "the whole build": {"build height after, mm": 20.9, "build footprint after, studs": "13.0 x 13.0", "new piece distance from the build centre, studs": 4.48, "build centre of mass outside the first piece footprint, mm": 5.0, "pieces in the build after": 9}, "where": {"joins the": "dark grey Dish  2 x  2 Inverted", "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)": -0.79, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.08, "new piece": "Plate  2 x  2 Round with Axlehole"}}}, {"name": "3005", "aimed": false, "p": 0.005, "T": [[0.0, -1.0, -0.0, 16.0], [-0.0, -0.0, 1.0, -40.0], [-1.0, -0.0, -0.0, 5.6], [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 Plate  2 x  2 Round with Axlehole. It sits beside the existing piece, at the same height. It hangs 10 mm past the edge of the existing piece; 86% 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": 0.8, "red centre above the grey centre, mm": 4.0, "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": 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": 16.0, "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)": 1.8, "centre of mass offset from the grey centre, studs": 0.57}, "openness": {"free studs on the pair": 4, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "2.0 x 1.8 x 2.0", "how full that box is (1 = solid)": 0.32, "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)": 0.941}, "the whole build": {"build height after, mm": 20.9, "build footprint after, studs": "13.0 x 13.0", "new piece distance from the build centre, studs": 0.91, "build centre of mass outside the first piece footprint, mm": 7.5, "pieces in the build after": 9}, "where": {"joins the": "dark grey Plate  2 x  2 Round with Axlehole", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.73, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.02, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.15, "new piece": "Brick  1 x  1"}}}, {"name": "4032a", "aimed": false, "p": 0.05, "T": [[-1.0, -0.0, -0.0, 28.0], [-0.0, -0.0, 1.0, -46.4], [-0.0, 1.0, 0.0, 1.6], [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 Plate  2 x  2 Round with Axlehole. It sits beside the existing piece, at the same height. It hangs 8 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": 1.0, "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": 0.4, "red centre above the grey centre, mm": 0.0, "farthest point of red from the grey centre, studs": 2.06}, "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": 3.2, "share of red footprint not over the grey": 0.83}, "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": 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": 6, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 1.0 x 2.0", "how full that box is (1 = solid)": 0.48, "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)": 1.0}, "the whole build": {"build height after, mm": 20.9, "build footprint after, studs": "13.0 x 13.0", "new piece distance from the build centre, studs": 1.6, "build centre of mass outside the first piece footprint, mm": 8.7, "pieces in the build after": 9}, "where": {"joins the": "dark grey Plate  2 x  2 Round with Axlehole", "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)": 0.17, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.03, "new piece": "Plate  2 x  2 Round with Axlehole"}}}, {"name": "3034", "aimed": false, "p": 0.01, "T": [[0.0, -1.0, 0.0, 76.0], [1.0, 0.0, 0.0, -64.0], [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 Dish  2 x  2 Inverted. It sits on top of the existing piece. It hangs 48 mm past the edge of the existing piece; 81% 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": 2.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 2.5, "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": 6.69}, "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": 44.0, "past the grey side, mm": 4.0, "share of red footprint not over the grey": 0.81}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 3.0, "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)": 9.4, "centre of mass offset from the grey centre, studs": 2.22}, "openness": {"free studs on the pair": 16, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "8.0 x 2.5 x 1.0", "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)": 0.087}, "the whole build": {"build height after, mm": 20.9, "build footprint after, studs": "13.5 x 13.5", "new piece distance from the build centre, studs": 7.92, "build centre of mass outside the first piece footprint, mm": 28.8, "pieces in the build after": 9}, "where": {"joins the": "dark grey Dish  2 x  2 Inverted", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.27, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.89, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.65, "new piece": "Plate 2x8"}}}, {"name": "4032a", "aimed": true, "p": 0.28, "T": [[0.0, -1.0, 0.0, 36.0], [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 Round with Axlehole is stacked (studs into its underside) to a existing Dish  2 x  2 Inverted. It sits on top of the existing piece. It hangs 4 mm past the edge of the existing piece; 44% of the new piece's footprint is not over the existing one. 0 of its six sides line up flush with the existing piece's sides.", "measurements against the piece it joins": {"position": {"red centre along the grey, studs from its centre": 0.5, "same, as a share of the half-length (0 = middle, 1 = at the end)": 0.5, "red centre across the grey, studs from its centre": 0.5, "red centre above the grey centre, mm": 3.2, "farthest point of red from the grey centre, studs": 1.85}, "angle": {"angle between the long axes seen from above, degrees": 0, "red long axis tilted up from flat, degrees": 0.0}, "overhang": {"past the grey end, mm": 4.0, "past the grey side, mm": 4.0, "share of red footprint not over the grey": 0.44}, "contact": {"joined by": "studs", "pins": 0, "studs engaged": 1, "touching area, square studs": 2.25, "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": 0.41}, "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)": "2.5 x 2.5 x 1.0", "how full that box is (1 = solid)": 0.3, "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)": 0.472}, "the whole build": {"build height after, mm": 20.9, "build footprint after, studs": "13.0 x 13.0", "new piece distance from the build centre, studs": 4.95, "build centre of mass outside the first piece footprint, mm": 9.4, "pieces in the build after": 9}, "where": {"joins the": "dark grey Dish  2 x  2 Inverted", "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)": 0.79, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.42, "new piece": "Plate  2 x  2 Round with Axlehole"}}}, {"name": "4032a", "aimed": true, "p": 0.085, "T": [[-0.0, 1.0, -0.0, 12.0], [0.0, 0.0, 1.0, -46.4], [1.0, 0.0, -0.0, 1.6], [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 Plate  2 x  2 Round with Axlehole. It sits beside the existing piece, at the same height. It hangs 8 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": 1.0, "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": 0.4, "red centre above the grey centre, mm": 0.0, "farthest point of red from the grey centre, studs": 2.06}, "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": 3.2, "share of red footprint not over the grey": 0.83}, "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": 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": 6, "free hole ends on the pair": 0, "connectors the join covered up": 2}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 1.0 x 2.0", "how full that box is (1 = solid)": 0.48, "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)": 1.0}, "the whole build": {"build height after, mm": 20.9, "build footprint after, studs": "13.0 x 13.0", "new piece distance from the build centre, studs": 0.9, "build centre of mass outside the first piece footprint, mm": 7.2, "pieces in the build after": 9}, "where": {"joins the": "dark grey Plate  2 x  2 Round with Axlehole", "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)": -0.13, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.11, "new piece": "Plate  2 x  2 Round with Axlehole"}}}, {"name": "4032a", "aimed": true, "p": 0.005, "T": [[-1.0, -0.0, -0.0, 12.0], [-0.0, -0.0, 1.0, -46.4], [-0.0, 1.0, 0.0, 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 Plate  2 x  2 Round with Axlehole. It sits beside the existing piece, at the same height. It hangs 8 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": 0.4, "red centre above the grey centre, mm": 8.0, "farthest point of red from the grey centre, studs": 2.51}, "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": 8.0, "past the grey side, mm": 3.2, "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": 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": 0.55}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 1.0 x 3.0", "how full that box is (1 = solid)": 0.32, "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)": 1.0}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "13.0 x 13.0", "new piece distance from the build centre, studs": 1.61, "build centre of mass outside the first piece footprint, mm": 7.2, "pieces in the build after": 9}, "where": {"joins the": "dark grey Plate  2 x  2 Round with Axlehole", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.92, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": -0.13, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": -0.11, "new piece": "Plate  2 x  2 Round with Axlehole"}}}, {"name": "4032a", "aimed": true, "p": 0.005, "T": [[1.0, 0.0, -0.0, 28.0], [0.0, -0.0, 1.0, -46.4], [0.0, -1.0, -0.0, 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 Plate  2 x  2 Round with Axlehole. It sits beside the existing piece, at the same height. It hangs 8 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": 0.4, "red centre above the grey centre, mm": 8.0, "farthest point of red from the grey centre, studs": 2.51}, "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": 8.0, "past the grey side, mm": 3.2, "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": 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": 0.55}, "openness": {"free studs on the pair": 7, "free hole ends on the pair": 0, "connectors the join covered up": 1}, "shape": {"pair bounding box, studs (long x short x tall)": "3.0 x 1.0 x 3.0", "how full that box is (1 = solid)": 0.32, "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)": 1.0}, "the whole build": {"build height after, mm": 27.2, "build footprint after, studs": "13.0 x 13.0", "new piece distance from the build centre, studs": 2.09, "build centre of mass outside the first piece footprint, mm": 8.7, "pieces in the build after": 9}, "where": {"joins the": "dark grey Plate  2 x  2 Round with Axlehole", "height in the build (0 = bottom, 1 = top, above 1 = higher than anything yet)": 0.92, "left or right in the picture (-1 = far left of the build, 0 = middle, 1 = far right, beyond 1 = further out than anything)": 0.17, "front or back in the picture (-1 = back, away from you, 1 = front, toward you)": 0.03, "new piece": "Plate  2 x  2 Round with Axlehole"}}}]}