R18.3

Statistics

genus c	18, orientable
Schläfli formula c	{4,72}
V / F / E c	2 / 36 / 72
notes
vertex, face multiplicity c	72, 2
Petrie polygons	2, each with 72 edges
rotational symmetry group	144 elements.
full symmetry group	288 elements.
its presentation c	< r, s, t | t2, r4, (rs)2, (rs‑1)2, (rt)2, (st)2, s18r2s18  >
C&D number c	R18.3
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R18.3′.

Its Petrie dual is R35.18.

It is a member of series η.

List of regular maps in orientable genus 18.

Other Regular Maps

General Index