The Genus-2 Map {18,3}

The figure shown and described here is not a regular map. Some vertices are connected to three distinct vertices, others are connected to only two, one of them twice.

This map has one 18-gonal face, six vertices, and nine edges.

Its dual is {3,18}.

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