Canonical Structures Inside the Platonic Solids III - Universal Hyperbolic Geometry

Canonical Structures Inside the Platonic Solids III - Universal Hyperbolic Geometry

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Relationship between two handle sets

5 of 9

5 of 9

Relationship between two handle sets

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Canonical Structures Inside the Platonic Solids III - Universal Hyperbolic Geometry

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  1. 1 Introduction
  2. 2 The five handle sets of the dodecahedron
  3. 3 The five cubes inside the dodecahedron
  4. 4 Diagonals of pentagonal faces
  5. 5 Relationship between two handle sets
  6. 6 An approximate construction of the dodecahedron
  7. 7 The ten tetrahedra of the dodecahedron
  8. 8 One dodecahedron=5 tetrahedra
  9. 9 The six face diameters of the dodecahedron

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