genus c1, orientable
Schläfli formula c{4,4}
V / F / E c 10 / 10 / 20
notesChiral replete singular is a polyhedral map permutes its vertices oddly
vertex, face multiplicity c1, 1
Petrie polygons
4, each with 10 edges
4, each with 10 edges
rotational symmetry group(C5⋊C4)×C2, with 40 elements
full symmetry group(C5⋊C4)×C2, with 40 elements
C&D number cC1.s3-1
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:{10,4}a.

It can be 2-fold covered to give {4,4}(4,2).
It is a 2-fold cover of {4,4}(2,1).

It can be 3-split to give C11.3′.
It can be 5-split to give C21.5′.
It can be 7-split to give C31.3′.
It can be 9-split to give C41.11′.
It can be 11-split to give C51.9′.

It can be rectified to give {4,4}(4,2).
It is the result of rectifying {4,4}(2,1).

List of regular maps in orientable genus 1.

Underlying Graph

Its skeleton is K5 × K2.

Other Regular Maps

General Index

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