San José State University Department of Economics

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applet-magic.com Thayer Watkins Silicon Valley & Tornado Alley USA

New Analyses of Polyhedra

• The Polyhedral Structure of Nuclear Shells
• The Regularities of the Platonic and Archimedean Polyhedra
• The Algebraic Determination of the Structures of Polyhedra
• On the Algebraic Determination of the Structure of Polyhedra
• The Analogues of the Dual Theorem of Euler's Twelve Pentagon Theorem
• Euler-type Theorems Concerning the Number of Polygons of Polyhedra
• The Euler-Poincare Characteristic of Conjoined Polyhedra
• Proof That There Are Only Five Platonic Polyhedra
• The Theorem Dual to Euler's Twelve Pentagon Theorem
• Euler's Theorem Concerning Polyhedra Composed of Pentagons and Hexagons: There Must Be Exactly 12 Pentagons

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