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eulers gem the polyhedron formula and birth of topology david s richeson

The Most Beautiful Theorem in Topology: Euler's Formula Euler's polyhedron formula, is one of the most beautiful theorems in mathematics and is a corner stone of algebraic topology.

Polyhedra and Euler's formula | Algebraic Topology | NJ Wildberger We investigate the five Platonic solids: tetrahedron, cube, octohedron, icosahedron and dodecahedron. Euler's