[deutsche Fassung] [diploma thesis] [homepage]

Hyperbolic Tilings

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• my diploma thesis -- it contains a lot of nice pictures -- but it's written in german :-(
• Dodecahedra on the Mars
• shells around the dodecahedron
• 1+110+3458 cubes
• hyperbolic buckyballs
• hyperbolic animations
• triangle-tessellations II
• triangle-tessellations I
• quadrangle-tessellations
• two-holed cloth torus (associated tiling)
• a small picture of my poster for ICM'98
• Subsets of PSL_2(Z[w]), D=-3, as sets of points in H^3
• my dissertation on growth functions of Coxeter-groups and Bianchi-groups (in german)

The Dodecahedron

• four dodecahdrons in the hyperbolic disc-model
  
  
• This is the real hyperbolic 3-space:
  

Links

• Hyperbolic Geometry Links (Geometry Junkyard)
• Tiling Links (Geometry Junkyard)
• Hyperbolic Non-Euclidian World (Tadao Ito)
• Tessellations of the hyperbolic plane (David E. Joyce)
• Ideal Hyperbolic Polyhedra (Matthias Weber)