R19.13

Statistics

genus c	19, orientable
Schläfli formula c	{5,5}
V / F / E c	72 / 72 / 180
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons	36, each with 10 edges 90, each with 4 edges 45, each with 8 edges
rotational symmetry group	A6, with 360 elements
full symmetry group	720 elements.
its presentation c	< r, s, t | t2, (rs)2, (rt)2, (st)2, r‑5, s‑5, (rs‑1)4  >
C&D number c	R19.13
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

Its Petrie dual is N74.2′.

It can be 2-split to give R73.37′.

It can be rectified to give R19.3′.

Its 2-hole derivative is R10.6.

List of regular maps in orientable genus 19.

Other Regular Maps

General Index