R37.50

Statistics

genus c	37, orientable
Schläfli formula c	{27,54}
V / F / E c	3 / 6 / 81
notes
vertex, face multiplicity c	27, 9
Petrie polygons	27, each with 6 edges
rotational symmetry group	162 elements.
full symmetry group	324 elements.
its presentation c	< r, s, t | t2, (rs)2, (rt)2, (st)2, srs‑1rs2, sr4sr‑2, s‑1rs‑2r4s‑1r11s‑1r4s‑1r  >
C&D number c	R37.50
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R37.50′.

Its Petrie dual is N53.2.

It can be 2-split to give R76.31′.

List of regular maps in orientable genus 37.

Other Regular Maps

General Index