R81.62

Statistics

genus c	81, orientable
Schläfli formula c	{6,11}
V / F / E c	60 / 110 / 330
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons 4th-order holes 4th-order Petrie polygons 5th-order holes 5th-order Petrie polygons	55, each with 12 edges 220, each with 3 edges 66, each with 10 edges 132, each with 5 edges 66, each with 10 edges 60, each with 11 edges 55, each with 12 edges 132, each with 5 edges 165, each with 4 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, (s‑1r)3, s‑1r‑1s3r2s3r‑1s‑1, s‑11  >
C&D number c	R81.62
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R81.62′.

Its 2-hole derivative is R26.2.
Its 5-hole derivative is R70.3.
Its 3-hole derivative is R70.4.

List of regular maps in orientable genus 81.

Other Regular Maps

General Index