{ "canvas": { "width": 832, "height": 480 }, "instructions": "Rigidly move all seven pieces (translation + rotation; the parallelogram may also be reflected) so that together they exactly tile target_silhouette without overlaps. Report each piece's final pose.", "pieces": [ { "piece_id": "large_tri_1", "color": [ 147, 94, 54 ], "vertices": [ [ 0.0, 0.0 ], [ 98.9949, 0.0 ], [ 0.0, 98.9949 ] ], "start_pose": { "reflect": false, "rot_deg": 0.0, "tx": 542.1429033392038, "ty": 60.66040321854459 } }, { "piece_id": "large_tri_2", "color": [ 70, 111, 93 ], "vertices": [ [ 0.0, 0.0 ], [ 98.9949, 0.0 ], [ 0.0, 98.9949 ] ], "start_pose": { "reflect": false, "rot_deg": 270.0, "tx": 692.4674173517435, "ty": 390.43350840249195 } }, { "piece_id": "medium_tri", "color": [ 64, 139, 151 ], "vertices": [ [ 0.0, 0.0 ], [ 70.0, 0.0 ], [ 0.0, 70.0 ] ], "start_pose": { "reflect": false, "rot_deg": 270.0, "tx": 186.06596590375733, "ty": 274.70803991940045 } }, { "piece_id": "square", "color": [ 164, 75, 64 ], "vertices": [ [ 0.0, 0.0 ], [ 49.4975, 0.0 ], [ 49.4975, 49.4975 ], [ 0.0, 49.4975 ] ], "start_pose": { "reflect": false, "rot_deg": 225.0, "tx": 260.47571998867403, "ty": 438.7030811647704 } }, { "piece_id": "parallelogram", "color": [ 66, 72, 155 ], "vertices": [ [ 0.0, 0.0 ], [ 49.4975, 0.0 ], [ 98.9949, 49.4975 ], [ 49.4975, 49.4975 ] ], "start_pose": { "reflect": false, "rot_deg": 0.0, "tx": 74.79310584460151, "ty": 327.64043798923086 } }, { "piece_id": "small_tri_1", "color": [ 132, 53, 133 ], "vertices": [ [ 0.0, 0.0 ], [ 49.4975, 0.0 ], [ 0.0, 49.4975 ] ], "start_pose": { "reflect": false, "rot_deg": 270.0, "tx": 218.04040121174205, "ty": 208.15327028519016 } }, { "piece_id": "small_tri_2", "color": [ 177, 119, 48 ], "vertices": [ [ 0.0, 0.0 ], [ 49.4975, 0.0 ], [ 0.0, 49.4975 ] ], "start_pose": { "reflect": false, "rot_deg": 90.0, "tx": 810.091952450911, "ty": 155.96550370267926 } } ], "target_silhouette": [ [ [ 416.0, 135.0 ], [ 416.0, 205.0 ], [ 381.0, 240.0 ], [ 346.0, 205.0 ], [ 346.0, 275.0 ], [ 346.0, 345.0 ], [ 416.0, 344.9999 ], [ 416.0, 345.0 ], [ 451.0, 380.0 ], [ 486.0, 345.0 ], [ 451.0, 310.0 ], [ 486.0, 275.0 ], [ 451.0, 240.0 ], [ 451.0, 170.0 ], [ 451.0, 100.0 ], [ 416.0, 135.0 ] ] ] }