C11:{6,6}

Statistics

genus c11, non-orientable
Schläfli formula c{6,6}
V / F / E c 9 / 9 / 27
notesreplete singular
vertex, face multiplicity c1, 1
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
18, each with 3 edges
9, each with 6 edges
9, each with 6 edges
18, each with 3 edges
rotational symmetry group108 elements.
full symmetry group108 elements.
its presentation c< r, s, t | t2, (rs)2, (rt)2, (st)2, r6, s6, rs‑1r‑2s‑2t  >
C&D number cN11.2
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 C11:{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 K3,3,3.

Other Regular Maps

General Index

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