A few links about Regular Maps

If you are reading these pages, you may find the links here interesting. However these are just a few links, mainly put here for my own use. Are Your Polyhedra the Same as My Polyhedra?
by Brunko Grünbaum.
Interested in "noble maps" which are face- and vertex-transitive, but not edge-transitive. Allows vertices or faces to coincide in space.

Maps, Hypermaps and Related Topics
by Roman Nedela.
Many useful references.

Platonic tilings of Riemann surfaces
With pictures of genus-2 {5,4}, also genus-3 {8,3}.

Patterns on the Genus-3 Klein Quartic
Interesting pictures, but not reliable.

A Group Portrait on a Surface of Genus Five
Of a group of order 32.

K12 and the Genus-6 Tiffany Lamp.
Describes G6:{3,11} (12 vertices, 44 faces and 66 edges), G3:{3,8}, and G3:{8,3}.

Wikipedia articles

Abstract polytope
Cantellation
Möbius-Kantor graph
Petrie polygon
Regular map
Uniform polyhedron

Some regular maps

Copyright N.S.Wedd 2009