R10.11′

Statistics

genus c	10, orientable
Schläfli formula c	{22,4}
V / F / E c	22 / 4 / 44
notes
vertex, face multiplicity c	2, 11
Petrie polygons	2, each with 44 edges
rotational symmetry group	88 elements.
full symmetry group	176 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (sr‑1)2, (st)2, (rt)2, r22  >
C&D number c	R10.11′
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′.
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 l.

List of regular maps in orientable genus 10.

Wireframe constructions

	×	the 11-hosohedron
	×	the 11-hosohedron

Other Regular Maps

General Index

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