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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.
Syllabus
Sergey Fomin - Incidence Geometry and Tiled Surfaces
Taught by
Institut des Hautes Etudes Scientifiques (IHES)