R9.16

Statistics

genus c	9, orientable
Schläfli formula c	{5,6}
V / F / E c	20 / 24 / 60
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons	30, each with 4 edges 30, each with 4 edges 20, each with 6 edges 40, each with 3 edges 20, each with 6 edges
rotational symmetry group	S5, with 120 elements
full symmetry group	240 elements.
its presentation c	< r, s, t | t2, (rs)2, (rt)2, (st)2, r‑5, s6, s‑1r‑1sr2sr‑1s‑1  >
C&D number c	R9.16
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R9.16′.

It can be 2-split to give R29.11′.
It can be 3-split to give R49.52′.
It can be 4-split to give R69.15′.

List of regular maps in orientable genus 9.

Other Regular Maps

General Index