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 edges to four distinct other edges (*i.e.*
its vertex-multiplicity is 1).

Its rotational symmetry group has order 48.

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

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

Three 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