{ "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": [ 70, 111, 93 ], "vertices": [ [ 0.0, 0.0 ], [ 100.5663, 0.0 ], [ 0.0, 100.5663 ] ], "start_pose": { "reflect": false, "rot_deg": 90.0, "tx": 618.8900238159695, "ty": 34.29860296187505 } }, { "piece_id": "large_tri_2", "color": [ 66, 72, 155 ], "vertices": [ [ 0.0, 0.0 ], [ 100.5663, 0.0 ], [ 0.0, 100.5663 ] ], "start_pose": { "reflect": false, "rot_deg": 135.0, "tx": 121.5682864292729, "ty": 372.21591366253745 } }, { "piece_id": "medium_tri", "color": [ 132, 53, 133 ], "vertices": [ [ 0.0, 0.0 ], [ 71.1111, 0.0 ], [ 0.0, 71.1111 ] ], "start_pose": { "reflect": false, "rot_deg": 315.0, "tx": 70.31276206765892, "ty": 147.4729373646426 } }, { "piece_id": "square", "color": [ 64, 139, 151 ], "vertices": [ [ 0.0, 0.0 ], [ 50.2831, 0.0 ], [ 50.2831, 50.2831 ], [ 0.0, 50.2831 ] ], "start_pose": { "reflect": false, "rot_deg": 180.0, "tx": 345.82515245303847, "ty": 440.2854142308256 } }, { "piece_id": "parallelogram", "color": [ 147, 94, 54 ], "vertices": [ [ 0.0, 0.0 ], [ 50.2831, 0.0 ], [ 100.5663, 50.2831 ], [ 50.2831, 50.2831 ] ], "start_pose": { "reflect": true, "rot_deg": 270.0, "tx": 236.7728651928477, "ty": 317.08437896149775 } }, { "piece_id": "small_tri_1", "color": [ 164, 75, 64 ], "vertices": [ [ 0.0, 0.0 ], [ 50.2831, 0.0 ], [ 0.0, 50.2831 ] ], "start_pose": { "reflect": false, "rot_deg": 0.0, "tx": 643.4758609104745, "ty": 55.71766073191239 } }, { "piece_id": "small_tri_2", "color": [ 177, 119, 48 ], "vertices": [ [ 0.0, 0.0 ], [ 50.2831, 0.0 ], [ 0.0, 50.2831 ] ], "start_pose": { "reflect": false, "rot_deg": 270.0, "tx": 620.1096561516042, "ty": 390.1946013465641 } } ], "target_silhouette": [ [ [ 398.2223, 240.0 ], [ 398.2222, 240.0 ], [ 362.6667, 275.5556 ], [ 362.6667, 204.4444 ], [ 291.5556, 204.4444 ], [ 256.0, 240.0 ], [ 327.1111, 240.0 ], [ 327.1111, 311.1111 ], [ 469.3334, 311.1111 ], [ 504.8889, 275.5556 ], [ 540.4445, 311.1111 ], [ 576.0, 275.5556 ], [ 540.4445, 240.0 ], [ 469.3334, 240.0 ], [ 398.2223, 168.8889 ], [ 398.2223, 240.0 ] ] ] }