This regular map has six square faces, four 6-valent vertices, and 12 edges.
Each face borders four distinct other faces (*i.e.* its face-multiplicity
is 1), and each vertex is connected by two edges to each of the other vertices
(*i.e.* its vertex-multiplicity is 2).

Its rotational symmetry group has order 48.

Its dual is C^{4}:{6,4}_{3}.

Its Petrie polygons have three edges, its holes have four edges, its 2nd-order Petrie polygons have six edges, and its 3rd-order holes have 2 edges.

Its Petrie dual is S^{1}{3,6}_{(2,2)}

The image to the left shows how it can be constructed as a shuriken of the cube.

Two more versions are shown 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