Cayley Graphs on Orientable 2-Manifolds

This is an index page to some pages showing some of the Cayley graphs that can be drawn on some orientable 2-manifolds. Each Cayley graph is drawn on the surface of the same genus as the group it portrays: so none of these Cayley graphs could have been drawn on a surface of lower genus.

The diagrams for manifolds of genus higher than 1 use pink lines and labels to show how the manifolds are constructed from the diagrams. This is explained in the page Representation of 2-manifolds.

Some regular polyhedra drawn on orientable 2-manifolds
Some pages on groups

Copyright N.S.Wedd 2009