N11:{6,6}

Statistics

genus c	11, non-orientable
Schläfli formula c	{6,6}
V / F / E c	9 / 9 / 27
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons	18, each with 3 edges 9, each with 6 edges 9, each with 6 edges 9, each with 6 edges 18, each with 3 edges
rotational symmetry group	108 elements.
full symmetry group	108 elements.
its presentation c	< r, s, t | t2, (rs)2, (rt)2, (st)2, r6, s6, rs‑1r‑2s‑2t  >
C&D number c	N11.2
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

Its Petrie dual is {3,6}_(3,3).

It can be rectified to give N11:{6,4}.

It is the half shuriken of {6,3}_(3,3).

List of regular maps in non-orientable genus 11.

Underlying Graph

Its skeleton is K_3,3,3.

Other Regular Maps

General Index

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