S4:{10,4}a

Statistics

genus c4, orientable
Schläfli formula c{10,4}
V / F / E c 10 / 4 / 20
notesThis is not a regular map.
vertex, face multiplicity c1, 5
Petrie polygons
holes
10, each with 4 edges
4 Hamiltonian, each with 10 edges
antipodal sets5 of ( 2v ), 2 of ( 2f ), 5 of ( 2v, p )
rotational symmetry groupC5⋊C4, with 20 elements
full symmetry group(C5⋊C4)×C2, with 40 elements

Relations to other Regular Maps

Its Petrie dual is {4,4}(3,1).

It is a 2-fold cover of C5:{10,4}.

List of regular maps in orientable genus 4.

Underlying Graph

Its skeleton is K5 × K2.

Other Regular Maps

General Index

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