This regular map has four hexagonal faces, six 4-valent vertices, and 12 edges.
Each face borders two other faces twice each (*i.e.* its face-multiplicity
is 2), and each vertex is connected by two edges to each of two other edges
(*i.e.* its vertex-multiplicity is also 2).

Its dual is C^{4}{6,4}_{6}.
It is cantankerous, see W89.
It is self-Petrie dual.

Its rotational symmetry group has order 48.

Its Petrie polygons are hexagons, its holes are squares, its order-2 Petrie polygons are triangles, and its order-3 holes are digons.

It is cantankerous^{L02}.

Another image of it is below.

Other regular maps on the genus-C^{4} non-oriented surface.

Index to other pages on regular maps.

Some pages on groups

Copyright N.S.Wedd 2009,2010