R10.4

Statistics

genus c	10, orientable
Schläfli formula c	{3,18}
V / F / E c	9 / 54 / 81
notes
vertex, face multiplicity c	3, 1
Petrie polygons	27, each with 6 edges
rotational symmetry group	162 elements.
full symmetry group	324 elements.
its presentation c	< r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, (sr‑1s)3, s‑6r‑1s5r‑1s‑1  >
C&D number c	R10.4
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R10.4′.

Its Petrie dual is N47.6.

It can be 2-split to give R46.18.

List of regular maps in orientable genus 10.

Other Regular Maps

General Index