R61.12

Statistics

genus c	61, orientable
Schläfli formula c	{6,6}
V / F / E c	120 / 120 / 360
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons	120, each with 6 edges 24, each with 30 edges 72, each with 10 edges 180, each with 4 edges 180, each with 4 edges
rotational symmetry group	C6 x S5, with 720 elements
full symmetry group	1440 elements.
its presentation c	< r, s, t | t2, (rs)2, (rt)2, (st)2, r6, s6, (rs‑1r)4, srs‑1rs‑1r2sr‑1sr‑1s  >
C&D number c	R61.12
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 R61.13′.

List of regular maps in orientable genus 61.

Other Regular Maps

General Index