Isometry group
= Isometry group
{wiki=Isometry_group}
An isometry group is a mathematical structure that consists of all isometries (distance-preserving transformations) of a metric space. In more formal terms, given a metric space \\((X, d)\\), the isometry group of that space is the group of all bijective mappings \\(f: X \\to X\\) such that for any points \\(x, y \\in X\\): \\\[ d(f(x), f(y)) = d(x, y).