{ "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 ], [ 140.0, 0.0 ], [ 0.0, 140.0 ] ], "start_pose": { "reflect": false, "rot_deg": 180.0, "tx": 181.39058096682894, "ty": 371.9518380532 } }, { "piece_id": "large_tri_2", "color": [ 66, 72, 155 ], "vertices": [ [ 0.0, 0.0 ], [ 140.0, 0.0 ], [ 0.0, 140.0 ] ], "start_pose": { "reflect": false, "rot_deg": 315.0, "tx": 206.70118860498502, "ty": 346.3370638237899 } }, { "piece_id": "medium_tri", "color": [ 64, 139, 151 ], "vertices": [ [ 0.0, 0.0 ], [ 98.9949, 0.0 ], [ 0.0, 98.9949 ] ], "start_pose": { "reflect": false, "rot_deg": 270.0, "tx": 573.3538262048733, "ty": 183.53316216398034 } }, { "piece_id": "square", "color": [ 164, 75, 64 ], "vertices": [ [ 0.0, 0.0 ], [ 70.0, 0.0 ], [ 70.0, 70.0 ], [ 0.0, 70.0 ] ], "start_pose": { "reflect": false, "rot_deg": 0.0, "tx": 41.657172527891206, "ty": 67.66334236747318 } }, { "piece_id": "parallelogram", "color": [ 132, 53, 133 ], "vertices": [ [ 0.0, 0.0 ], [ 70.0, 0.0 ], [ 140.0, 70.0 ], [ 70.0, 70.0 ] ], "start_pose": { "reflect": true, "rot_deg": 135.0, "tx": 768.1688448253414, "ty": 400.7204328684086 } }, { "piece_id": "small_tri_1", "color": [ 70, 111, 93 ], "vertices": [ [ 0.0, 0.0 ], [ 70.0, 0.0 ], [ 0.0, 70.0 ] ], "start_pose": { "reflect": false, "rot_deg": 270.0, "tx": 698.8405469055963, "ty": 284.2357191991064 } }, { "piece_id": "small_tri_2", "color": [ 177, 119, 48 ], "vertices": [ [ 0.0, 0.0 ], [ 70.0, 0.0 ], [ 0.0, 70.0 ] ], "start_pose": { "reflect": false, "rot_deg": 180.0, "tx": 179.67486047836542, "ty": 461.0607228740717 } } ], "target_silhouette": [ [ [ 346.0, 240.0 ], [ 416.0, 240.0 ], [ 416.0, 310.0 ], [ 346.0, 380.0 ], [ 416.0, 380.0 ], [ 486.0, 310.0 ], [ 556.0, 380.0 ], [ 556.0, 310.0 ], [ 486.0, 240.0 ], [ 486.0, 100.0 ], [ 346.0, 100.0 ], [ 276.0, 170.0 ], [ 346.0, 240.0 ] ] ] }