S5:{10,3}

Statistics

genus c	5, orientable
Schläfli formula c	{10,3}
V / F / E c	40 / 12 / 60
notes
vertex, face multiplicity c	1, 2
Petrie polygons	12, each with 10 edges
rotational symmetry group	120 elements.
full symmetry group	240 elements.
its presentation c	< r, s, t | t2, s‑3, (sr)2, (st)2, (rt)2, (sr‑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:{3,10}.

It is self-Petrie dual.

It is a 2-fold cover of N6:{10,3}₁₀.
It is a 2-fold cover of N6:{10,3}₅.

It can be built by 2-splitting the dodecahedron.

List of regular maps in orientable genus 5.

Underlying Graph

Its skeleton is F040A.

Other Regular Maps

General Index