N11:{6,4}

Statistics

genus c	11, non-orientable
Schläfli formula c	{6,4}
V / F / E c	27 / 18 / 54
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons	9, each with 12 edges 18 double, each with 6 edges 36, each with 3 edges
rotational symmetry group	216 elements.
full symmetry group	216 elements.
its presentation c	< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, r6, r‑1sr‑1s2rs‑1t  >
C&D number c	N11.1′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is N11:{4,6}.

Its Petrie dual is R10.10′.

It is the result of rectifying N11:{6,6}.

List of regular maps in non-orientable genus 11.

Comments

This regular map could be used for a Type I Cayley graph of C9 ⋊ C3.

Other Regular Maps

General Index

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