S4:{4,5}

Statistics

genus c4, orientable
Schläfli formula c{4,5}
V / F / E c 24 / 30 / 60
notesreplete singular is a polyhedral map permutes its vertices evenly
vertex, face multiplicity c1, 1
Petrie polygons
holes
2nd-order Petrie polygons
20, each with 6 edges
20, each with 6 edges
30, each with 4 edges
antipodal sets12 of ( 2v ), 15 of ( 2f ), 30 of ( 2e )
rotational symmetry groupS5, with 120 elements
full symmetry group240 elements.
its presentation c< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, s‑5, (rs‑2rs‑1)2 >
C&D number cR4.2
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S4:{5,4}.

Its Petrie dual is R9.16′.

It is a 2-fold cover of C5:{4,5}.

List of regular maps in orientable genus 4.

Underlying Graph

Its skeleton is 2 . K6 × K2.

Other Regular Maps

General Index

The image on this page is copyright © 2010 N. Wedd