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Introduction
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Classroom Contents
The Remarkable Platonic Solids I - Universal Hyperbolic Geometry
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- 1 Introduction
- 2 Symmetrty properties
- 3 Platonic solids are examples of polyhedra
- 4 History of the Platonic solids
- 5 Euclid: Book 13 of The Elements
- 6 Formulas that Euclid derived
- 7 Euclid proved there are 5 regular solids
- 8 L. Euler's fundamental relation for polyhedra
- 9 A platonic solid viewed as a regular tiling of the sphere