R37.31

Statistics

genus c	37, orientable
Schläfli formula c	{6,15}
V / F / E c	18 / 45 / 135
notes
vertex, face multiplicity c	5, 1
Petrie polygons	9, each with 30 edges
rotational symmetry group	270 elements.
full symmetry group	540 elements.
its presentation c	< r, s, t | t2, (rs)2, (rt)2, (st)2, r6, (rs‑2)2, s‑1r2s‑1r2sr‑1s‑1r, s‑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 R55.45′.

List of regular maps in orientable genus 37.

Underlying Graph

Its skeleton is 5 . Pappus graph.

Other Regular Maps

General Index