genus c1, orientable
Schläfli formula c{4,4}
V / F / E c 20 / 20 / 40
notesChiral replete singular is a polyhedral map permutes its vertices oddly
vertex, face multiplicity c1, 1
Petrie polygons
4, each with 20 edges
8, each with 10 edges
rotational symmetry group(C5×(C2×C2))⋊C4, with 80 elements
full symmetry group80 elements.
C&D number cC1.s4-2
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

It can be 2-fold covered to give {4,4}(6,2).
It is a 2-fold cover of {4,4}(3,1).

It can be 3-split to give C21.4′.
It can be 5-split to give C41.10′.
It can be 7-split to give C61.5′.
It can be 9-split to give C81.11′.

It can be rectified to give {4,4}(6,2).
It is the result of rectifying {4,4}(3,1).

List of regular maps in orientable genus 1.

Wireframe constructions

q  {8,4}  2 | 4/4 | 4 × the di-decagon
qd  {4,8}  4/4 | 2 | 4 × the di-decagon

Other Regular Maps

General Index

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