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Reflection (mathematics)

In mathematics, reflection (also spelt reflexion) refers to an involutive automorphism of a space which leaves invariant a subspace of codimension 1.

Note that this applies to more than just Euclidean geometry. Reflections in affine geometry with respect to a given hyperplane is not unique, for example. Also, an inversion in inversive geometry is considered a reflection by this definition.

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