genus c18, orientable
Schläfli formula c{72,4}
V / F / E c 36 / 2 / 72
notesFaces share vertices with themselves
vertex, face multiplicity c2, 72
Petrie polygons
2, each with 72 edges
rotational symmetry group144 elements.
full symmetry group288 elements.
its presentation c< r, s, t | t2, s4, (sr)2, (sr‑1)2, (st)2, (rt)2, r18s2r18  >
C&D number cR18.3′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R18.3.

It can be 5-split to give R90.3′.
It can be built by 9-splitting S2:{8,4}.

It is a member of series j.

List of regular maps in orientable genus 18.

Other Regular Maps

General Index