R56.6

Statistics

genus c	56, orientable
Schläfli formula c	{6,6}
V / F / E c	110 / 110 / 330
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons	66, each with 10 edges 132, each with 5 edges 66, each with 10 edges 220, each with 3 edges 110, each with 6 edges
rotational symmetry group	PSL(2,11), with 660 elements
full symmetry group	1320 elements.
its presentation c	< r, s, t | t2, (rs)2, (rt)2, (st)2, r6, s6, (r‑2s)3, (sr‑1s)3, (s‑1r)5  >
C&D number c	R56.6
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

It can be rectified to give R56.3′.

List of regular maps in orientable genus 56.

Other Regular Maps

General Index