R18.10

Statistics

genus c	18, orientable
Schläfli formula c	{21,21}
V / F / E c	4 / 4 / 42
notes
vertex, face multiplicity c	7, 7
Petrie polygons	21, each with 4 edges
rotational symmetry group	84 elements.
full symmetry group	168 elements.
its presentation c	< r, s, t | t2, (rs)2, (rt)2, (st)2, sr3s2, r‑2s7r‑1sr‑8s2  >
C&D number c	R18.10
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

Its Petrie dual is N19.1.

It can be 2-split to give R37.49′.

It can be rectified to give R18.1′.

List of regular maps in orientable genus 18.

Underlying Graph

Its skeleton is 7 . K₄.

Other Regular Maps

General Index