{"id":"four-rotations-are-exhaustive","text":"Checking 0°, 90°, 180°, 270° covers all distinct rotations of a square matrix because the rotation group is cyclic of order 4 (Z₄); 360° ≡ 0° so no further checks are needed.","truth_value":"IN","source":"entries/2026/06/06/determine-whether-matrix-can-be-obtained-by-rotation-solution.md","source_url":"","source_hash":"","justifications":[],"dependents":[],"metadata":{},"created_at":"","updated_at":"","reviewed_at":"","verified_at":"","retracted_at":"","explanation":{"steps":[{"node":"four-rotations-are-exhaustive","truth_value":"IN","reason":"premise"}]}}