This regular map has three hexagonal faces, three 6-valent vertices, and nine
edges. Each face borders each other face three times (*i.e.* its face-multiplicity
is 3), and each vertex is connected by three edges to each of the other two edges
(*i.e.* its vertex-multiplicity is 3).

Its is self-dual.
It is cantankerous, see W89.
It is the shuriken of S^{1}{6,3}_{(o,2)}.
It can be cantellated to give {6,4}.
Its Petrie dual is S^{1}{3,6}_{(0,2)}.

Its rotational symmetry group has order 36.

Its Petrie polygons are triangles, its holes are digons, its order-2 Petrie polygons are hexagons, and its order-3 holes are hexagons which comprise just three edges of the regular map, each in both directions.

It is the shuriken of S^{1}{6,3}_{(0,2)}

Other regular maps on the genus-C^{5} non-oriented surface.

Index to other pages on regular maps.

Some pages on groups

Copyright N.S.Wedd 2010