N5:{4,5}

Statistics

genus c	5, non-orientable
Schläfli formula c	{4,5}
V / F / E c	12 / 15 / 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 15, each with 4 edges
antipodal sets	6 of ( 2v ), 5 of ( 3f, 3p2 ), 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, r4, (rs)2, (rt)2, (st)2, s‑5, s‑1rs‑1r2sr‑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:{5,4}.

Its Petrie dual is N10.6′.

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

It can be rectified to give rectification of C5:{5,4}.

Its 2-hole derivative is N10.6′.

List of regular maps in non-orientable genus 5.

Other Regular Maps

General Index

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