S10:{30,6}

Statistics

genus c	10, orientable
Schläfli formula c	{30,6}
V / F / E c	10 / 2 / 30
notes
vertex, face multiplicity c	3, 30
Petrie polygons	6, each with 10 edges
rotational symmetry group	60 elements.
full symmetry group	120 elements.
its presentation c	< r, s, t | t2, (sr)2, (st)2, (rt)2, s6, r‑1s3r‑1s, r‑5s2r‑5  >
C&D number c	R10.19′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S10:{6,30}.

Its Petrie dual is R8.5′.

It can be 7-split to give R70.7′.
It can be built by 2-splitting S5:{15,6}₁₀.

It is a member of series ε'.

List of regular maps in orientable genus 10.

Other Regular Maps

General Index

The image on this page is copyright © 2010 N. Wedd