The Genus-C5 Regular Map {6,4}

This regular map has six hexagonal faces, nine 4-valent vertices, and 18 edges. Each face borders four sistinct other (i.e. its face-multiplicity is 3), and each vertex is connected by two edges to each of three of the other two edges (i.e. its vertex-multiplicity is 2).

Its rotational symmetry group has order 36.

Its Petrie polygons are squares, and its holes are hexagons with each of three edges traversed twice.

Its dual is {4,6}.

Its Petrie dual is S1{4,4}(3,0)

It is the result of cantellating C5{6,6}.

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

Copyright N.S.Wedd 2010