Rational Curvature of Polytopes and the Euler Number - Algebraic Topology Lecture 16
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Overview
Syllabus
Introduction
Harriott's theorem
Ex. A has degree 3
Ex. A has degree 4
Tangles of opposite Cone at vertex A has internal tangles
Theorem. IF A polygon P has vertex A with tangles of facesat A.
Tetrahedron
Ex.2 Cube
Ex.3 Octahedron
Ex.4 Cosahedron
Ex.5 Dodecahedron
Problem 18. Computing directly the curvature at a vertex
Problem 19. Compute directly the curvatures
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