R37.3′

Statistics

genus c	37, orientable
Schläfli formula c	{18,3}
V / F / E c	216 / 36 / 324
notes
vertex, face multiplicity c	1, 2
Petrie polygons	54, each with 12 edges
rotational symmetry group	648 elements.
full symmetry group	1296 elements.
its presentation c	< r, s, t | t2, s‑3, (sr)2, (st)2, (rt)2, r‑1s‑1r2s‑1r2s2r‑3sr‑2, (rs‑1r)6  >
C&D number c	R37.3′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R37.3.

It can be built by 2-splitting R10.1′.

List of regular maps in orientable genus 37.

Other Regular Maps

General Index