R18.4′

Statistics

genus c	18, orientable
Schläfli formula c	{20,6}
V / F / E c	20 / 6 / 60
notes
vertex, face multiplicity c	3, 10
Petrie polygons	2, each with 60 edges
rotational symmetry group	120 elements.
full symmetry group	240 elements.
its presentation c	< r, s, t | t2, (sr)2, (sr‑1)2, (st)2, (rt)2, s6, r20  >
C&D number c	R18.4′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R18.4.

Its Petrie dual is R20.4′.

It can be 3-split to give R58.5′.
It can be built by 5-splitting S2:{4,6}.

List of regular maps in orientable genus 18.

Other Regular Maps

General Index