R66.5′

Statistics

genus c	66, orientable
Schläfli formula c	{264,4}
V / F / E c	132 / 2 / 264
notes
vertex, face multiplicity c	2, 264
Petrie polygons	2, each with 264 edges
rotational symmetry group	528 elements.
full symmetry group	1056 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (sr‑1)2, (st)2, (rt)2, r66s2r66  >
C&D number c	R66.5′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R66.5.

It is self-Petrie dual.

It can be built by 3-splitting R22.6′.
It can be built by 11-splitting S6:{24,4}.

It is a member of series η'.

List of regular maps in orientable genus 66.

Other Regular Maps

General Index