N5:{5,4}

Statistics

genus c	5, non-orientable
Schläfli formula c	{5,4}
V / F / E c	15 / 12 / 30
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons	10, each with 6 edges 10, each with 6 edges 20, each with 3 edges
antipodal sets	5 of ( 3v ), 6 of ( 2f ), 15 of ( 2e ), 10 of ( p, h )
rotational symmetry group	S5, with 120 elements
full symmetry group	S5, with 120 elements
its presentation c	< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, r‑5, r‑1sr‑1s2rs‑1t >
C&D number c	N5.1′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is N5:{4,5}.

Its Petrie dual is N7:{6,4}.

It can be 2-fold covered to give S4:{5,4}.

It can be rectified to give rectification of C5:{5,4}.
It is the result of rectifying N5:{5,5}.

It is the result of pyritifying (type 10/4/5/4) C5:{10,4}.

List of regular maps in non-orientable genus 5.

Underlying Graph

Its skeleton is hemi-icosidodecahedron.

Other Regular Maps

General Index

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