The Genus-C⁵ Regular Map {4,6}

This regular map has nine square faces, six 6-valent vertices, and 18 edges. Each face borders other faces twice each (i.e. its face-multiplicity is 2), and each vertex is connected to four distinct other vertices (i.e. its vertex-multiplicity is 1).

Its rotational symmetry group has order 36.

Its Petrie polygons are squares, its holes are dodecagons with each of six edges traversed twice, its order-2 Petrie polygons are hexagons, and its holes are squares with each of two edges traversed twice.

Its dual is {6,4}.

It is self-Petrie dual.

Other regular maps on the genus-C⁵ non-oriented surface.
Index to other pages on regular maps.
Some pages on groups

The Genus-C5 Regular Map {4,6}

The Genus-C⁵ Regular Map {4,6}