Distance-preserving moves always keep a point fixed
Shaula Fiorelli Vilmart · TheScienceBreaker · 2024
A fixed point is a point that does not move when subjected to a given transformation. Theorems guaranteeing the existence of such points have a wide application not only in mathematics, but also in economics or in Google's search engine. Such a new theorem has recently been discovered: every isometry has a fixed point when viewed in an extended space.