R18.5

Statistics

genus c	18, orientable
Schläfli formula c	{8,14}
V / F / E c	8 / 14 / 56
notes
vertex, face multiplicity c	7, 4
Petrie polygons	2, each with 56 edges
rotational symmetry group	112 elements.
full symmetry group	224 elements.
its presentation c	< r, s, t | t2, (rs)2, (rs‑1)2, (rt)2, (st)2, r8, s14  >
C&D number c	R18.5
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R18.5′.

Its Petrie dual is R24.10′.

It can be 3-split to give R66.13′.

List of regular maps in orientable genus 18.

Other Regular Maps

General Index