C5:{4,6}

Statistics

genus c5, non-orientable
Schläfli formula c{4,6}
V / F / E c 6 / 9 / 18
notesreplete cantankerous is not a polyhedral map permutes its vertices oddly
vertex, face multiplicity c2, 1
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
9, each with 4 edges
6 Hamiltonian, each with 6 edges
6 Hamiltonian, each with 6 edges
9 double, each with 4 edges
antipodal sets3 of ( v, 3p ), 9 of ( f, 2e, h3 ), 6 of ( h, p2 )
rotational symmetry group72 elements.
full symmetry group72 elements.
its presentation c< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, s6, s‑1rs‑1r2sr‑1t, srs‑1r2s‑1rs >
C&D number cN5.2
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is C5:{6,4}.

It is self-Petrie dual.

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

It can be 3-split to give N29.4′.

It can be rectified to give rectification of C5:{6,4}.

List of regular maps in non-orientable genus 5.

Underlying Graph

Its skeleton is 2 . K3,3.

Other Regular Maps

General Index

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