S5:{10,3}

Statistics

genus c5, orientable
Schläfli formula c{10,3}
V / F / E c 40 / 12 / 60
notesreplete
vertex, face multiplicity c1, 2
Petrie polygons
12, each with 10 edges
rotational symmetry group120 elements.
full symmetry group240 elements.
its presentation c< r, s, t | t2, s‑3, (sr)2, (st)2, (rt)2, (sr‑4)2  >
C&D number cR5.2′
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 a 2-fold cover of C6:{10,3}10.
It is a 2-fold cover of C6:{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