The Genus-2 Regular Map {4,8}

This regular map has four square faces, two vertices, and eight edges.

Its holes have two edges, and its Petrie polygons eight. Its Petrie dual is S3:{8,8}4.

Its rotational symmetry group is the quasidihedral group of order 16.

Its dual is {8,4}. Its double cover is S3:{4,8}.

Faces share vertices with themselvesEach face shares all its vertices with itself. Some readers may consider that this invalidates it as a regular map.

Other regular maps on the genus-2 oriented surface.
Index to other pages on regular maps.
Some pages on groups

Copyright N.S.Wedd 2009