genus c1, orientable
Schläfli formula c{4,4}
V / F / E c 36 / 36 / 72
notesreplete singular is a polyhedral map permutes its vertices oddly
vertex, face multiplicity c1, 1
Petrie polygons
12, each with 12 edges
24, each with 6 edges
rotational symmetry group(C6×C6)⋊C4, with 144 elements
full symmetry group288 elements.
C&D number cR1.s6-0
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 R13.3′.

It is a 2-fold cover of {4,4}(3,3).

It can be 5-split to give R73.26′.

It is the result of rectifying {4,4}(3,3).

List of regular maps in orientable genus 1.

Other Regular Maps

General Index

The image on this page is copyright © 2010 N. Wedd