Geometry and Topology

Complete Graph K12 on Surface of Genus-6

Semi-Regular Polyhedra

Uniform Polyhedra


Tilings R3 with Toroids

Tilings R3 with Trefoil-Knots

Topologically Important Surfaces

  1. Figure-8 Immersion of Torus
  2. Elliptical Torus of Revolution
  3. Standard Model of Klein Bottle
  4. Figure-8 Model of the Klein Bottle
  5. The Crosscap
  6. The Roman Surface
  7. Boy's Surface -- and "Boy's Planet" -- and a write-up -- and the publisher
  8. Hunt's Surface
  9. Schwarz' Surface
    This forms the basis for a closed surface with chaotic flow, or where almost every geodesic line covers (almost) the whole surface
    Harriet Brisson's modular Schwarz sculpture
  10. Costa Surface
Skeleton of a Klein Bottle

Math Models

Artistic Geometry

  • Benno Artmann's Topological Models


    Page Editor: Carlo H. Séquin