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