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In physics and mathematics, rotational symmetry is the invariance of an object or a system of equations under a set of rotations - for example, rotational symmetry about an axis of rotation, or the SO(3) transformations of all possible rotations in three-dimensional space.
Laws of physics are SO(3) invariant if they do not distinguish different directions in space. Because of Noether's theorem, rotational symmetry of a physical system is equivalent to the angular momentum conservation law.
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