R9.12′

Statistics

genus c	9, orientable
Schläfli formula c	{20,4}
V / F / E c	20 / 4 / 40
notes
vertex, face multiplicity c	2, 10
Petrie polygons	4, each with 20 edges
rotational symmetry group	80 elements.
full symmetry group	160 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (sr‑1)2, (st)2, (rt)2, r20  >
C&D number c	R9.12′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R9.12.

It is self-Petrie dual.

It can be 3-split to give R29.5′.
It can be 7-split to give R69.10′.
It can be 9-split to give R89.15′.
It can be built by 5-splitting {4,4}_(2,0).

It is the result of rectifying R9.31.

It is a member of series θ'.

List of regular maps in orientable genus 9.

Wireframe constructions

	×	the 10-hosohedron
	×	the 10-hosohedron

Other Regular Maps

General Index

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