The Genus-C5 Regular Map {4,5}

This regular map has 15 square faces, 12 5-valent vertices, and 30 edges.

It is the dual of {5,4}.

Its rotational symmetry group is S5.

Its Petrie polygons are hexagons, its holes are hexagons, and its order-2 Petrie polygons are squares.

Its Petrie dual would be S5{6,5} or C10{6,5}, but neither exists.

Its vertices form antipodal pairs. Its faces form antipodal threesomes (as shown by the colours of the diagram). Each face is also antipodal to a pair of mutually antipodal edges.

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