The Genus-C5 Regular Map {5,4}

This regular map has 12 pentagonal faces, 15 4-valent vertices, and 30 edges.

It is the dual of {4,5}.

Its rotational symmetry group is S5.

Its Petrie polygons are hexagons. Its holes are hexagons which traverse sets of three edges twice.

It c an be costructed by cantellating {5,5}.

Its Petrie dual is C7{6,4}.

Its vertices form antipodal threesomes. Its faces form antipodal pairs (as shown by the colours of the diagram). Its edges form antipodal pairs.

Other regular maps on the genus-C5 non-oriented surface.
Index to other pages on regular maps.
Some pages on groups

Copyright N.S.Wedd 2010