R18.7′

Statistics

genus c	18, orientable
Schläfli formula c	{16,12}
V / F / E c	8 / 6 / 48
notes
vertex, face multiplicity c	6, 8
Petrie polygons	2, each with 48 edges
rotational symmetry group	96 elements.
full symmetry group	192 elements.
its presentation c	< r, s, t | t2, (sr)2, (sr‑1)2, (st)2, (rt)2, r‑2tr2s5r‑2trsr‑1  >
C&D number c	R18.7′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R18.7.

Its Petrie dual is R20.8′.

It can be 3-split to give R58.11′.
It can be 5-split to give R98.7′.

List of regular maps in orientable genus 18.

Other Regular Maps

General Index