The Genus-4 Regular Map {12,3}

This regular map has six dodecagonal faces, of which three meet at each of its 24 vertices. It has 36 edges, and a Euler characteristic of -6. It is shown to the right.

Its Petrie polygons have six edges. Its Petrie dual is S¹{6,3}_(0,4).

It is isomorphic to the Nauru graph.