San José State University

applet-magic.com Thayer Watkins Silicon Valley USA

The Euler-Poincaré Characteristic in Algebraic Topology

• The Euler Characteristic for Polyhedra
• The Euler Poincaré Characteristic for Polyhedral Solids
• The Euler Poincare Characteristic for Different Dimensions of Geometric Figures
• The Euler-Poincaré Formula in Algebraic Topology
• The Euler-Poincaré Characteristic of Polyhedral Solids with a Cavity
• The Euler-Poincare Characteristic of Strips and Slabs: Open, Closed and Mobius
• Euler's Theorem Concerning Polyhedra Composed of Pentagons and Hexagons: There Must Be Exactly 12 Pentagons
• The Theorem Dual to Euler's Twelve Pentagon Theorem
• Proof That There Are Only Five Platonic Polyhedra

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