This regular map has 15 square faces, 10 6-valent vertices, and 30 edges.

Its dual is C^{7}{6,4}.
Its Petrie dual is S^{5}{5,6}.

Its rotational symmetry group is S5.

Its Petrie polygons are pentagons, its holes are triangles, its second-order Petrie polygons are triangles, and its 3rd-order holes as hexagons which traverse the same sets of three edhges twice.

Each vertex is antipodal to a 3rd-order hole. Each face is antipodal to a Petrie polygon. The faces form antipodal threesomes ‒ eacg threesome is shown in a single colour in the diagram to the right.

Other regular maps on the genus-C^{7} non-oriented surface.

Index to other pages on regular maps.

Some pages on groups

Copyright N.S.Wedd 2010