**This genus-3 map is not regular.**
Its faces fall into two sets, which are not interchanged by rotations.
It is therefore not dart-transitive.
This genus-3 regular map has 14 triangular faces, all 14 meeting at
each of its three vertices. It has 21 edges, and a Euler characteristic
of -4. It is shown to the right.

Its Petrie polygons have six edges.

Each pair of vertices is connected by seven edges.

Its dual is S^{3}{14,3}.

The edges of this regular map can be 3-coloured, and the faces 2-coloured,
as shown in the diagram.

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