R57.17′

Statistics

genus c	57, orientable
Schläfli formula c	{10,6}
V / F / E c	80 / 48 / 240
notes
vertex, face multiplicity c	1, 2
Petrie polygons	60, each with 8 edges
rotational symmetry group	480 elements.
full symmetry group	960 elements.
its presentation c	< r, s, t | t2, (sr)2, (st)2, (rt)2, s6, (sr‑4)2, r10, sr‑1sr‑1s3rs‑1r‑3  >
C&D number c	R57.17′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R57.17.

Its Petrie dual is R51.14′.

It can be built by 2-splitting R17.16.

List of regular maps in orientable genus 57.

Other Regular Maps

General Index