This regular map has four hexagonal faces, six 4-valent vertices, and 12 edges.
Each face borders each other face twice (*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}{4,6}_{6}.
It is self-Petrie dual.

Its rotational symmetry group has order 48.

Its Petrie polygons are hexagons, and its holes are squares.

It is cantankerous^{L02, W89}.

Two more portrayals of it are 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