{ "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": [ 177, 119, 48 ], "vertices": [ [ 0.0, 0.0 ], [ 131.9932, 0.0 ], [ 0.0, 131.9932 ] ], "start_pose": { "reflect": false, "rot_deg": 90.0, "tx": 729.7310968186877, "ty": 114.7220579492172 } }, { "piece_id": "large_tri_2", "color": [ 70, 111, 93 ], "vertices": [ [ 0.0, 0.0 ], [ 131.9932, 0.0 ], [ 0.0, 131.9932 ] ], "start_pose": { "reflect": false, "rot_deg": 135.0, "tx": 238.46393932023034, "ty": 347.96903970472556 } }, { "piece_id": "medium_tri", "color": [ 132, 53, 133 ], "vertices": [ [ 0.0, 0.0 ], [ 93.3333, 0.0 ], [ 0.0, 93.3333 ] ], "start_pose": { "reflect": false, "rot_deg": 315.0, "tx": 26.94841685623632, "ty": 257.9143522667998 } }, { "piece_id": "square", "color": [ 66, 72, 155 ], "vertices": [ [ 0.0, 0.0 ], [ 65.9966, 0.0 ], [ 65.9966, 65.9966 ], [ 0.0, 65.9966 ] ], "start_pose": { "reflect": false, "rot_deg": 180.0, "tx": 736.2776904746169, "ty": 419.01729552112437 } }, { "piece_id": "parallelogram", "color": [ 147, 94, 54 ], "vertices": [ [ 0.0, 0.0 ], [ 65.9966, 0.0 ], [ 131.9932, 65.9966 ], [ 65.9966, 65.9966 ] ], "start_pose": { "reflect": true, "rot_deg": 0.0, "tx": 775.3587945993637, "ty": 40.20328509518906 } }, { "piece_id": "small_tri_1", "color": [ 164, 75, 64 ], "vertices": [ [ 0.0, 0.0 ], [ 65.9966, 0.0 ], [ 0.0, 65.9966 ] ], "start_pose": { "reflect": false, "rot_deg": 0.0, "tx": 455.5904758935519, "ty": 52.93581696154804 } }, { "piece_id": "small_tri_2", "color": [ 64, 139, 151 ], "vertices": [ [ 0.0, 0.0 ], [ 65.9966, 0.0 ], [ 0.0, 65.9966 ] ], "start_pose": { "reflect": false, "rot_deg": 90.0, "tx": 369.19649435799096, "ty": 26.533442106566532 } } ], "target_silhouette": [ [ [ 322.6667, 193.3333 ], [ 276.0, 239.9999 ], [ 276.0, 333.3333 ], [ 369.3333, 333.3333 ], [ 416.0, 380.0 ], [ 416.0, 286.6667 ], [ 462.6667, 240.0 ], [ 509.3333, 286.6667 ], [ 556.0, 240.0001 ], [ 509.3333, 193.3334 ], [ 416.0, 193.3334 ], [ 416.0, 193.3333 ], [ 322.6667, 100.0 ], [ 276.0, 146.6667 ], [ 322.6667, 193.3333 ] ] ] }