{ "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": [ 64, 139, 151 ], "vertices": [ [ 0.0, 0.0 ], [ 128.0, 0.0 ], [ 0.0, 128.0 ] ], "start_pose": { "reflect": false, "rot_deg": 180.0, "tx": 167.37207708582534, "ty": 152.07025601324796 } }, { "piece_id": "large_tri_2", "color": [ 70, 111, 93 ], "vertices": [ [ 0.0, 0.0 ], [ 128.0, 0.0 ], [ 0.0, 128.0 ] ], "start_pose": { "reflect": false, "rot_deg": 135.0, "tx": 723.8322863600382, "ty": 116.39529441828272 } }, { "piece_id": "medium_tri", "color": [ 164, 75, 64 ], "vertices": [ [ 0.0, 0.0 ], [ 90.5097, 0.0 ], [ 0.0, 90.5097 ] ], "start_pose": { "reflect": false, "rot_deg": 135.0, "tx": 813.4911760055916, "ty": 176.75247524132615 } }, { "piece_id": "square", "color": [ 177, 119, 48 ], "vertices": [ [ 0.0, 0.0 ], [ 64.0, 0.0 ], [ 64.0, 64.0 ], [ 0.0, 64.0 ] ], "start_pose": { "reflect": false, "rot_deg": 45.0, "tx": 320.0139250746305, "ty": 61.22944751517606 } }, { "piece_id": "parallelogram", "color": [ 132, 53, 133 ], "vertices": [ [ 0.0, 0.0 ], [ 64.0, 0.0 ], [ 128.0, 64.0 ], [ 64.0, 64.0 ] ], "start_pose": { "reflect": false, "rot_deg": 135.0, "tx": 159.08535687265083, "ty": 354.252230739411 } }, { "piece_id": "small_tri_1", "color": [ 66, 72, 155 ], "vertices": [ [ 0.0, 0.0 ], [ 64.0, 0.0 ], [ 0.0, 64.0 ] ], "start_pose": { "reflect": false, "rot_deg": 270.0, "tx": 669.5599205381436, "ty": 433.2690485699487 } }, { "piece_id": "small_tri_2", "color": [ 147, 94, 54 ], "vertices": [ [ 0.0, 0.0 ], [ 64.0, 0.0 ], [ 0.0, 64.0 ] ], "start_pose": { "reflect": false, "rot_deg": 45.0, "tx": 163.0033522037964, "ty": 251.7416944882054 } } ], "target_silhouette": [ [ [ 384.0, 176.0 ], [ 320.0, 240.0 ], [ 256.0, 304.0 ], [ 320.0, 304.0 ], [ 384.0, 304.0 ], [ 448.0, 304.0 ], [ 512.0, 368.0 ], [ 576.0, 368.0 ], [ 512.0, 304.0 ], [ 512.0, 176.0 ], [ 448.0, 112.0 ], [ 384.0, 176.0 ] ] ] }