The Genus-2 Map {12,4}

The figure shown and described here is not a regular map. Each vertex is connected by two edges to each of the others; but for one of them the edges alternate in destination as you go around it, for the other two they don't.

This polyhedron has one dodecagonal faces, three vertices, and six edges.

Its dual is {4,12}.

Faces share vertices with themselvesFaces share edges with themselves The face shares all its vertices and edges with itself. Some readers may consider that this invalidates it as a map.

Other regular maps on the genus-2 oriented surface.
Index to other pages on regular maps.
Some pages on groups

Copyright N.S.Wedd 2009