The Genus-2 Regular Map {6,4}

This genus-2 regular map has four hexagonal faces, six vertices, and twelve edges. Two images of it are shown to the right.

Its rotational symmetry group is C3⋊D8.

Its dual is {4,6}. Its double cover is G3:{6,4}. It is the result of cantellating S2:{6,6}. Its Petrie dual is S3{12,4}.

Its Petrie polygons are Eulerian dodecagons, and its holes are digons.

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