automorphisms

/ˌɔːtoʊˈmɔːrfɪzəmz/
noun
  1. Plural of automorphism; multiple mathematical transformations that map an object onto itself while preserving its structure.
    • The set of all automorphisms of a structure forms a group under composition.
    • Mathematicians classify groups by studying their automorphisms.
    • The automorphisms of a cube include 24 different rotations.
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