Geometry and Topology
The general topic is to make smooth curves on smooth (subdivision) surfaces.
One special goal is to make a few mathematical models that demonstrate
how graphs of relatively high interconnectivity can be mapped crossingfree
onto surfaces of suitable genus. As one example, we will map Dyck's graph
with 12 vertices and 48 edges onto a genus3 surface.
SemiRegular Polyhedra
Uniform
Polyhedra
Zonohedron
Topologically Important Surfaces

Figure8 Immersion
of Torus

Elliptical
Torus of Revolution

Standard
Model of Klein Bottle

Figure8 Model
of the Klein Bottle

The Crosscap

The Roman Surface

Boy's Surface
 and "Boy's
Planet"  and a
writeup  and the publisher

Hunt's Surface
Skeleton of a Klein Bottle
Benno
Artmann's Topological Models
Page Editor: Carlo H. Séquin