R91.7

Statistics

genus c	91, orientable
Schläfli formula c	{4,8}
V / F / E c	180 / 360 / 720
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	144, each with 10 edges 360, each with 4 edges 240, each with 6 edges 180, each with 8 edges 180, each with 8 edges 480, each with 3 edges 240, each with 6 edges
rotational symmetry group	A6 ⋊ C4, with 1440 elements
full symmetry group	2880 elements.
its presentation c	< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, (rs‑1)4, s8, (s‑2rs‑1)3  >
C&D number c	R91.7
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R91.7′.

List of regular maps in orientable genus 91.

Other Regular Maps

General Index