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