R57.56

Statistics

genus c	57, orientable
Schläfli formula c	{18,18}
V / F / E c	16 / 16 / 144
notes
vertex, face multiplicity c	3, 3
Petrie polygons	72, each with 4 edges
rotational symmetry group	288 elements.
full symmetry group	576 elements.
its presentation c	< r, s, t | t2, (rs)2, (rt)2, (st)2, s‑1r‑1sr2sr‑1s‑1, sr5sr‑1sr‑1, r‑5s2r‑7sr‑1s2  >
C&D number c	R57.56
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 N58.3.

List of regular maps in orientable genus 57.

Other Regular Maps

General Index