The Genus-3 Regular Map {7,14}

This genus-3 regular map, shown to the right, has two heptagonal faces, each meeting itself six times at each vertex. It has seven edges, and a Euler characteristic of -2.

Its dual is {14,7}. Its Petrie dual is the 7-hemihosohedron.

Its rotational symmetry group is D14.

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

Its holes have four edges. Its Petrie polygons have two edges.

Antipodal Faces and Vertices

The faces are antipodal to one another.

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