C7:{9,4}

Statistics

genus c7, non-orientable
Schläfli formula c{9,4}
V / F / E c 9 / 4 / 18
notesreplete is not a polyhedral map cantankerous
vertex, face multiplicity c2, 3
Petrie polygons
holes
4 Hamiltonian, each with 9 edges
9 double, each with 4 edges
antipodal sets4 of ( f, p )
rotational symmetry group72 elements.
full symmetry group72 elements.
its presentation c< r, s, t | t2, s4, (sr)2, (st)2, (rt)2, sr‑1s2rt, r‑9  >
C&D number cN7.2′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is C7:{4,9}.

It is self-Petrie dual.

It can be 2-fold covered to give S6:{9,4}.

It can be 2-split to give N16.4′.

List of regular maps in non-orientable genus 7.

Underlying Graph

Its skeleton is 2 . 9-cycle.

Other Regular Maps

General Index

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