{ "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 ], [ 131.9932, 0.0 ], [ 0.0, 131.9932 ] ], "start_pose": { "reflect": false, "rot_deg": 90.0, "tx": 766.3024836665516, "ty": 239.54813406962947 } }, { "piece_id": "large_tri_2", "color": [ 132, 53, 133 ], "vertices": [ [ 0.0, 0.0 ], [ 131.9932, 0.0 ], [ 0.0, 131.9932 ] ], "start_pose": { "reflect": false, "rot_deg": 90.0, "tx": 622.3326274748075, "ty": 76.11083765184011 } }, { "piece_id": "medium_tri", "color": [ 64, 139, 151 ], "vertices": [ [ 0.0, 0.0 ], [ 93.3333, 0.0 ], [ 0.0, 93.3333 ] ], "start_pose": { "reflect": false, "rot_deg": 225.0, "tx": 623.6507575322574, "ty": 439.0104011457454 } }, { "piece_id": "square", "color": [ 177, 119, 48 ], "vertices": [ [ 0.0, 0.0 ], [ 65.9966, 0.0 ], [ 65.9966, 65.9966 ], [ 0.0, 65.9966 ] ], "start_pose": { "reflect": false, "rot_deg": 45.0, "tx": 773.3277630043293, "ty": 106.24315576830895 } }, { "piece_id": "parallelogram", "color": [ 70, 111, 93 ], "vertices": [ [ 0.0, 0.0 ], [ 65.9966, 0.0 ], [ 131.9932, 65.9966 ], [ 65.9966, 65.9966 ] ], "start_pose": { "reflect": true, "rot_deg": 90.0, "tx": 198.9959275212576, "ty": 355.93502916145235 } }, { "piece_id": "small_tri_1", "color": [ 66, 72, 155 ], "vertices": [ [ 0.0, 0.0 ], [ 65.9966, 0.0 ], [ 0.0, 65.9966 ] ], "start_pose": { "reflect": false, "rot_deg": 270.0, "tx": 28.137596425686546, "ty": 432.4914843963229 } }, { "piece_id": "small_tri_2", "color": [ 164, 75, 64 ], "vertices": [ [ 0.0, 0.0 ], [ 65.9966, 0.0 ], [ 0.0, 65.9966 ] ], "start_pose": { "reflect": false, "rot_deg": 45.0, "tx": 222.5221865623817, "ty": 380.5506608456949 } } ], "target_silhouette": [ [ [ 369.3333, 146.6667 ], [ 322.6667, 193.3334 ], [ 369.3333, 240.0 ], [ 322.6667, 286.6667 ], [ 276.0, 333.3333 ], [ 322.6667, 380.0 ], [ 322.6667, 379.9999 ], [ 369.3333, 333.3333 ], [ 462.6667, 333.3333 ], [ 556.0, 240.0 ], [ 462.6667, 146.6667 ], [ 416.0, 193.3333 ], [ 415.9999, 100.0 ], [ 369.3333, 146.6667 ] ] ] }