S6:{5,10}

Statistics

genus c	6, orientable
Schläfli formula c	{5,10}
V / F / E c	5 / 10 / 25
notes
vertex, face multiplicity c	5, 1
Petrie polygons	5, each with 10 edges
rotational symmetry group	50 elements.
full symmetry group	100 elements.
its presentation c	< r, s, t | t2, (rs)2, (rt)2, (st)2, r‑5, srs‑1rs2  >
C&D number c	R6.6
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S6:{10,5}.

Its Petrie dual is N17.4.

It can be 2-split to give R16.11.

List of regular maps in orientable genus 6.

Other Regular Maps

General Index