genus c1, orientable
Schläfli formula c{4,4}
V / F / E c 18 / 18 / 36
notesreplete singular is a polyhedral map permutes its vertices oddly
vertex, face multiplicity c1, 1
Petrie polygons
2nd-order Petrie polygons
12, each with 6 edges
12, each with 6 edges
12, each with 6 edges
rotational symmetry group((C3×C3)⋊C4)×C2, with 72 elements
full symmetry group((C3×C3)⋊C4)×C2, with 144 elements
C&D number cR1.s3-3
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 S4:{6,4}.

It can be 2-fold covered to give {4,4}(6,0).
It is a 2-fold cover of {4,4}(3,0).

It can be 5-split to give R37.18′.
It can be 7-split to give R55.12′.
It can be 9-split to give R73.29′.
It can be 11-split to give R91.25′.

It can be rectified to give {4,4}(6,0).
It is the result of rectifying {4,4}(3,0).

List of regular maps in orientable genus 1.

Other Regular Maps

General Index

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