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′.

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