genus c1, orientable
Schläfli formula c{4,4}
V / F / E c 32 / 32 / 64
notesreplete singular is a polyhedral map permutes its vertices evenly
vertex, face multiplicity c1, 1
Petrie polygons
16, each with 8 edges
16, each with 8 edges
rotational symmetry group((C4×C4)⋊C4)×C2, with 128 elements
full symmetry group256 elements.
C&D number cR1.s4-4
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 R9.6′.

It is a 2-fold cover of {4,4}(4,0).

It can be 3-split to give R33.24′.
It can be 5-split to give R65.41′.
It can be 7-split to give R97.51′.

It is the result of rectifying {4,4}(4,0).

List of regular maps in orientable genus 1.

Other Regular Maps

General Index

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