R57.46′

Statistics

genus c	57, orientable
Schläfli formula c	{40,8}
V / F / E c	40 / 8 / 160
notes
vertex, face multiplicity c	2, 10
Petrie polygons	16, each with 20 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, r10s4r10  >
C&D number c	R57.46′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R57.46.

Its Petrie dual is R53.11′.

It can be built by 5-splitting R9.22.

List of regular maps in orientable genus 57.

Other Regular Maps

General Index