R45.12

Statistics

genus c	45, orientable
Schläfli formula c	{5,6}
V / F / E c	110 / 132 / 330
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons	55, each with 12 edges 60, each with 11 edges 66, each with 10 edges 132, each with 5 edges 66, each with 10 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, r‑5, s6, (rs‑1rs‑1r)2, s‑1r‑1srs‑1r‑2s‑2rs‑1rs‑1  >
C&D number c	R45.12
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R45.12′.

Its Petrie dual is N167.2′.

List of regular maps in orientable genus 45.

Other Regular Maps

General Index