C4:{4,6}6

Statistics

genus c4, non-orientable
Schläfli formula c{4,6}
V / F / E c 4 / 6 / 12
notesreplete is not a polyhedral map permutes its vertices oddly
vertex, face multiplicity c2, 2
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
4, each with 6 edges
6 Hamiltonian, each with 4 edges
8, each with 3 edges
12, each with 2 edges
antipodal sets4 of ( v, p, p2 ), 3 of ( 2f ), 6 of ( 2e ), 6 of ( 2h3 )
rotational symmetry groupS4×C2, with 48 elements
full symmetry groupS4×C2, with 48 elements
its presentation c< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, rs‑1r2st, s6 >
C&D number cN4.1
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is C4:{6,4}6.

Its Petrie dual is S3:{6,6}.

It can be 2-fold covered to give S3:{4,6}.

It can be rectified to give rectification of C4:{6,4}6.

List of regular maps in non-orientable genus 4.

Underlying Graph

Its skeleton is 2 . K4.

Other Regular Maps

General Index

The images on this page are copyright © 2010 N. Wedd