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
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