S5:{5,5}

Statistics

genus c5, orientable
Schläfli formula c{5,5}
V / F / E c 16 / 16 / 40
notesreplete singular
vertex, face multiplicity c1, 1
Petrie polygons
20, each with 4 edges
rotational symmetry group80 elements.
full symmetry group160 elements.
its presentation c< r, s, t | t2, (rs)2, (rt)2, (st)2, r‑5, s‑5, s‑1r‑1sr2sr‑1s‑1  >
C&D number cR5.9
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

Its Petrie dual is C6:{4,5}.

It can be 2-split to give R17.18′.

List of regular maps in orientable genus 5.

Underlying Graph

Its skeleton is Clebsch graph.

Other Regular Maps

General Index