R10.17′

Statistics

genus c	10, orientable
Schläfli formula c	{12,6}
V / F / E c	12 / 6 / 36
notes
vertex, face multiplicity c	3, 6
Petrie polygons	6, each with 12 edges
rotational symmetry group	72 elements.
full symmetry group	144 elements.
its presentation c	< r, s, t | t2, (sr)2, (sr‑1)2, (st)2, (rt)2, s6, r12  >
C&D number c	R10.17′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is R10.17.

It can be 5-split to give R58.5′.
It can be 7-split to give R82.47′.
It can be built by 3-splitting S2:{4,6}.

List of regular maps in orientable genus 10.

Other Regular Maps

General Index