S6:{10,3}

Statistics

genus c	6, orientable
Schläfli formula c	{10,3}
V / F / E c	50 / 15 / 75
notes
vertex, face multiplicity c	1, 1
Petrie polygons	25, each with 6 edges
rotational symmetry group	150 elements.
full symmetry group	300 elements.
its presentation c	< r, s, t | t2, s‑3, (sr)2, (st)2, (rt)2, (rs‑1r)3, r10  >
C&D number c	R6.1′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S6:{3,10}.

Its Petrie dual is {6,3}_(5,5).

It can be Eppstein tunnelled to give R31.2′.

List of regular maps in orientable genus 6.

Underlying Graph

Its skeleton is torus-h-5-5.

Other Regular Maps

General Index