The Genus-4c Map {18,3}

The figure shown and described here is not a regular map. Some of its Petrie polygons have three edges, some have four.

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

Its rotational symmetry group is D6.

Its dual is C1:{18,3}.

Its Petrie dual is the triangular prism.

Faces share edges with themselvesThis non-regular map has a face which shares an edge with itself. You may threfore consider that it does not qualify as an irregular map.

Other regular maps on the C4 non-oriented surface.
Index to other pages on regular maps.
Some pages on groups

Copyright N.S.Wedd 2009