S5:{4,20}

Statistics

genus c5, orientable
Schläfli formula c{4,20}
V / F / E c 2 / 10 / 20
notesFaces share vertices with themselves is not a polyhedral map permutes its vertices oddly
vertex, face multiplicity c20, 2
Petrie polygons
4, each with 10 edges
rotational symmetry group40 elements.
full symmetry group80 elements.
its presentation c< r, s, t | t2, r4, (rs)2, (rs‑1)2, (rt)2, (st)2, s5rs‑4rs  >
C&D number cR5.8
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S5:{20,4}.

Its Petrie dual is R8.8.

It is a member of series h.

List of regular maps in orientable genus 5.

Underlying Graph

Its skeleton is 20 . K2.

Other Regular Maps

General Index

The images on this page are copyright © 2010 N. Wedd