The Genus-3 Map {3,8}

The regular map S3{3,8} shown to the right has 32 triangular faces, 12 8-valent vertices, and 48 edges.

Its Petrie polygons have six edges, its holes have eight edges, its 2nd-order Petrie polygons have eight edges, its 3rd-order holes have three edges, its 4th-order Petrie polygons have six edges, and its 4th-order holes have four edges.

It is the dual of S3{8,3}. It is a double cover of S2{3,8}.

Other regular maps on the genus-3 oriented surface.
Index to other pages on regular maps.
Some pages on groups

Copyright N.S.Wedd 2009