R37.37

Statistics

genus c	37, orientable
Schläfli formula c	{9,18}
V / F / E c	12 / 24 / 108
notes
vertex, face multiplicity c	3, 3
Petrie polygons	18, each with 12 edges
rotational symmetry group	216 elements.
full symmetry group	432 elements.
its presentation c	< r, s, t | t2, (rs)2, (rt)2, (st)2, sr4sr‑2, r‑9, s2r‑3s4, srs‑2rs‑1rs3r‑1s  >
C&D number c	R37.37
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R37.37′.

Its Petrie dual is N80.1.

It can be 2-split to give R85.55′.

List of regular maps in orientable genus 37.

Other Regular Maps

General Index