N5:{6,4}

Statistics

genus c	5, non-orientable
Schläfli formula c	{6,4}
V / F / E c	9 / 6 / 18
notes
vertex, face multiplicity c	1, 2
Petrie polygons holes 2nd-order Petrie polygons	9, each with 4 edges 6, each with 6 edges 12, each with 3 edges
antipodal sets	9 of ( v, 2e, p ), 2 of ( 3f ), 2 of ( 3h )
rotational symmetry group	72 elements.
full symmetry group	72 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, r6, r‑1sr‑1s2rs‑1t, rsr‑1s2r‑1sr >
C&D number c	N5.2′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is N5:{4,6}.

Its Petrie dual is {4,4}_(3,0).

It can be 2-fold covered to give S4:{6,4}.

It can be rectified to give rectification of C5:{6,4}.
It is the result of rectifying N5:{6,6}.

It is a member of series κ .
It is a member of series λ .

List of regular maps in non-orientable genus 5.

Underlying Graph

Its skeleton is K₃ × K₃.

Other Regular Maps

General Index

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