R57.48′

Statistics

genus c	57, orientable
Schläfli formula c	{40,8}
V / F / E c	40 / 8 / 160
notes
vertex, face multiplicity c	2, 20
Petrie polygons	8, each with 40 edges
rotational symmetry group	320 elements.
full symmetry group	640 elements.
its presentation c	< r, s, t | t2, (sr)2, (st)2, (rt)2, s8, (sr‑1s2)2, r‑1sr‑1s2r‑1sr‑1, r10sr‑1sr9  >
C&D number c	R57.48′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R57.48.

It can be built by 5-splitting R9.20.

List of regular maps in orientable genus 57.

Other Regular Maps

General Index