C4:{4,6}₃

Statistics

genus c	4, non-orientable
Schläfli formula c	{4,6}
V / F / E c	4 / 6 / 12
notes
vertex, face multiplicity c	2, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons	8, each with 3 edges 6, each with 4 edges 4, each with 6 edges 12, each with 2 edges 12, each with 2 edges
antipodal sets	4 of ( v, 2p, p2 ), 3 of ( 2f ), 6 of ( 2e, 2h3 )
rotational symmetry group	S4×C2, with 48 elements
full symmetry group	S4×C2, with 48 elements
its presentation c	< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, (rs‑2)2, s6, rs‑1r‑2s‑2t >
C&D number c	N4.2
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is C4:{6,4}₃.

Its Petrie dual is {3,6}_(2,2).

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

It can be rectified to give rectification of C4:{6,4}₃.

It is the half shuriken of the cube.

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