Finding Regular Maps

These page lists the techniques I have used for finding the regular maps presented in these pages.

You may be able to prove that there is no regular map for a particular manifold, number of edges per face, and number of edges per vertex; i.e. Schäfli formula M{g,h}. Then you can stop looking. But if you find a regular map for a particular M{g,h}, you may not have finished, there may be another one. Unless this is a manifold with Euler number 0, any others will have the same number of vertices etc. as the one you have found.

Some regular maps drawn on orientable 2-manifolds

Copyright N.S.Wedd 2010