The Remarkable Platonic Solids I - Universal Hyperbolic Geometry

The Remarkable Platonic Solids I - Universal Hyperbolic Geometry

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Formulas that Euclid derived

6 of 9

6 of 9

Formulas that Euclid derived

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The Remarkable Platonic Solids I - Universal Hyperbolic Geometry

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

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