R10.2′

Statistics

genus c	10, orientable
Schläfli formula c	{12,3}
V / F / E c	72 / 18 / 108
notes
vertex, face multiplicity c	1, 1
Petrie polygons	36, each with 6 edges
rotational symmetry group	216 elements.
full symmetry group	432 elements.
its presentation c	< r, s, t | t2, s‑3, (sr)2, (st)2, (rt)2, (rs‑1r)3, r12  >
C&D number c	R10.2′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R10.2.

Its Petrie dual is {6,3}_(6,6).

It can be Eppstein tunnelled to give R46.3′.

List of regular maps in orientable genus 10.

Underlying Graph

Its skeleton is torus-h-0-6.

Other Regular Maps

General Index