R17.16

Statistics

genus c	17, orientable
Schläfli formula c	{5,6}
V / F / E c	40 / 48 / 120
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons	30, each with 8 edges 30, each with 8 edges 20, each with 12 edges 40, each with 6 edges 40, each with 6 edges
rotational symmetry group	SL(2,5) x C2, with 240 elements
full symmetry group	480 elements.
its presentation c	< r, s, t | t2, (rs)2, (rt)2, (st)2, r‑5, s6, rs‑1rs‑1r‑2sr‑1s3  >
C&D number c	R17.16
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R17.16′.

Its Petrie dual is N52.4′.

It can be 2-split to give R57.17′.
It can be 3-split to give R97.83′.

List of regular maps in orientable genus 17.

Other Regular Maps

General Index