R10.11′

Statistics

genus c10, orientable
Schläfli formula c{22,4}
V / F / E c 22 / 4 / 44
notesreplete
vertex, face multiplicity c2, 11
Petrie polygons
2, each with 44 edges
rotational symmetry group88 elements.
full symmetry group176 elements.
its presentation c< r, s, t | t2, s4, (sr)2, (sr‑1)2, (st)2, (rt)2, r22  >
C&D number cR10.11′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R10.11.

Its Petrie dual is R11.4′.

It can be 3-split to give R32.1′.
It can be 5-split to give R54.2′.
It can be 7-split to give R76.6′.
It can be 9-split to give R98.1′.

It is the result of rectifying R10.23.

It is a member of series ζ' .

List of regular maps in orientable genus 10.

Wireframe constructions

p  {22,4}  2 | 4/11 | 4 × the 11-hosohedron
q  {22,4}  2 | 4/11 | 4 × the 11-hosohedron

Other Regular Maps

General Index

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