R10.4′

Statistics

genus c	10, orientable
Schläfli formula c	{18,3}
V / F / E c	54 / 9 / 81
notes
vertex, face multiplicity c	1, 3
Petrie polygons	27, each with 6 edges
rotational symmetry group	162 elements.
full symmetry group	324 elements.
its presentation c	< r, s, t | t2, s‑3, (sr)2, (st)2, (rt)2, (rs‑1r)3, r‑6s‑1r5s‑1r‑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 {6,3}_(0,6).

It can be obtained from {6,3}_(3,3) by Eppstein tunnelling.

It is a member of series ο° .

List of regular maps in orientable genus 10.

Underlying Graph

Its skeleton is torus-h-0-6.

Other Regular Maps

General Index