Automorphism

An automorphism is like a symmetry within a mathematical structure, such as a graph or a set, where the structure can be transformed in a way that preserves all its properties. Imagine rearranging a pattern or a network so that it looks different, but everything fits exactly as before—connections remain intact, and relationships are unchanged. This form of transformation helps to understand the inherent symmetry and structure inside mathematical systems, revealing how their parts relate and behave without altering their fundamental nature.