Incidence Geometry and Tiled Surfaces

Explore a 48-minute mathematics lecture from IHES where Professor Sergey Fomin of the University of Michigan demonstrates how classical linear incidence geometry theorems - including Pappus, Desargues, and Möbius theorems - can be understood as specific applications of a broader principle involving triangulated closed oriented surfaces and quadrilateral tilings. Learn about a novel framework for generating new incidence theorems and expanding existing ones through the lens of surface geometry and tiling patterns.