R41.22

Statistics

genus c	41, orientable
Schläfli formula c	{6,6}
V / F / E c	80 / 80 / 240
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons	40, each with 12 edges 24, each with 20 edges 24, each with 20 edges 60, each with 8 edges 60, each with 8 edges
rotational symmetry group	SL(2,5) ⋊ (C2 x C2), with 480 elements
full symmetry group	960 elements.
its presentation c	< r, s, t | t2, (rs)2, (rt)2, (st)2, r6, s6, (rs‑1rs‑1r)2, (rs‑2rs‑1)2  >
C&D number c	R41.22
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

Its Petrie dual is R61.16′.

It can be rectified to give R41.3′.

List of regular maps in orientable genus 41.

Other Regular Maps

General Index