R37.31′

Statistics

genus c	37, orientable
Schläfli formula c	{15,6}
V / F / E c	45 / 18 / 135
notes
vertex, face multiplicity c	1, 5
Petrie polygons	9, each with 30 edges
rotational symmetry group	270 elements.
full symmetry group	540 elements.
its presentation c	< r, s, t | t2, (sr)2, (st)2, (rt)2, s6, (sr‑2)2, r‑1s2r‑1s2rs‑1r‑1s, r‑15  >
C&D number c	R37.31′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R37.31.

Its Petrie dual is N83.4′.

It can be 2-split to give R82.43′.

List of regular maps in orientable genus 37.

Other Regular Maps

General Index