S5:{3,10}

Statistics

genus c	5, orientable
Schläfli formula c	{3,10}
V / F / E c	12 / 40 / 60
notes
vertex, face multiplicity c	2, 1
Petrie polygons	12, each with 10 edges
rotational symmetry group	120 elements.
full symmetry group	240 elements.
its presentation c	< r, s, t | t2, r‑3, (rs)2, (rt)2, (st)2, (rs‑4)2  >
C&D number c	R5.2
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S5:{10,3}.

Its Petrie dual is N38.4.

It is a 2-fold cover of C6:{3,10}₁₀.
It is a 2-fold cover of C6:{3,10}₅.

It can be 2-split to give R29.10.
It can be 4-split to give R77.14′.
It can be 5-split to give R101.38′.

List of regular maps in orientable genus 5.

Other Regular Maps

General Index