R37.20′

Statistics

genus c	37, orientable
Schläfli formula c	{40,4}
V / F / E c	80 / 8 / 160
notes
vertex, face multiplicity c	1, 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, s4, (sr)2, (st)2, (rt)2, (sr‑1)4, (sr‑3)2, r10s2r5s‑1r‑1sr4  >
C&D number c	R37.20′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R37.20.

Its Petrie dual is R33.25′.

It can be built by 5-splitting S5:{8,4}₄.

List of regular maps in orientable genus 37.

Other Regular Maps

General Index