Rational Curvature of Polytopes and the Euler Number - Algebraic Topology Lecture 16

Rational Curvature of Polytopes and the Euler Number - Algebraic Topology Lecture 16

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Introduction

1 of 13

1 of 13

Introduction

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Classroom Contents

Rational Curvature of Polytopes and the Euler Number - Algebraic Topology Lecture 16

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  1. 1 Introduction
  2. 2 Harriott's theorem
  3. 3 Ex. A has degree 3
  4. 4 Ex. A has degree 4
  5. 5 Tangles of opposite Cone at vertex A has internal tangles
  6. 6 Theorem. IF A polygon P has vertex A with tangles of facesat A.
  7. 7 Tetrahedron
  8. 8 Ex.2 Cube
  9. 9 Ex.3 Octahedron
  10. 10 Ex.4 Cosahedron
  11. 11 Ex.5 Dodecahedron
  12. 12 Problem 18. Computing directly the curvature at a vertex
  13. 13 Problem 19. Compute directly the curvatures

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