R91.31′

Statistics

genus c	91, orientable
Schläfli formula c	{12,6}
V / F / E c	120 / 60 / 360
notes
vertex, face multiplicity c	1, 3
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons	72, each with 10 edges 120, each with 6 edges 180, each with 4 edges 120, each with 6 edges 120, each with 6 edges
rotational symmetry group	720 elements.
full symmetry group	1440 elements.
its presentation c	< r, s, t | t2, (sr)2, (st)2, (rt)2, s6, rsr‑3sr4, rs2r‑1s3r‑1s2rs‑1, r‑1sr‑1sr‑1s2r‑1sr‑1sr‑1  >
C&D number c	R91.31′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R91.31.

Its Petrie dual is R85.22′.

List of regular maps in orientable genus 91.

Other Regular Maps

General Index