R37.18′

Statistics

genus c	37, orientable
Schläfli formula c	{20,4}
V / F / E c	90 / 18 / 180
notes
vertex, face multiplicity c	1, 5
Petrie polygons	12, each with 30 edges
rotational symmetry group	360 elements.
full symmetry group	720 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, (sr‑3)2, (sr‑1)6, r‑2s‑1r2sr‑1s2r‑1sr2s‑1r‑2  >
C&D number c	R37.18′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R37.18.

Its Petrie dual is R40.1′.

It can be built by 5-splitting {4,4}_(3,3).

It is the result of rectifying R37.48.

List of regular maps in orientable genus 37.

Other Regular Maps

General Index