R16.6

Statistics

genus c	16, orientable
Schläfli formula c	{5,5}
V / F / E c	60 / 60 / 150
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons	50, each with 6 edges 20, each with 15 edges 30, each with 10 edges
rotational symmetry group	A5 x C5, with 300 elements
full symmetry group	600 elements.
its presentation c	< r, s, t | t2, (rs)2, (rt)2, (st)2, r‑5, s‑5, srs‑1rs‑1r2s2r‑1sr‑1  >
C&D number c	R16.6
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 N42.1′.

It can be 2-split to give R61.11′.

It can be rectified to give R16.2′.

Its 2-hole derivative is R36.8′.

List of regular maps in orientable genus 16.

Other Regular Maps

General Index