genus c1, orientable
Schläfli formula c{4,4}
V / F / E c 9 / 9 / 18
notesreplete singular is a polyhedral map permutes its vertices evenly
vertex, face multiplicity c1, 1
Petrie polygons
2nd-order Petrie polygons
6, each with 6 edges
12, each with 3 edges
6, each with 6 edges
rotational symmetry group(C3×C3)⋊C4, with 36 elements
full symmetry group72 elements.
C&D number cR1.s3-0
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

Its Petrie dual is C5:{6,4}.

It can be 2-fold covered to give {4,4}(3,3).

It can be rectified to give {4,4}(3,3).

List of regular maps in orientable genus 1.

Underlying Graph

Its skeleton is K3 × K3.

Cayley Graphs based in this Regular Map

Type I


Other Regular Maps

General Index

The images on this page are copyright © 2010 N. Wedd