S3:{4,6}

Statistics

genus c	3, orientable
Schläfli formula c	{4,6}
V / F / E c	8 / 12 / 24
notes
vertex, face multiplicity c	2, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes	8, each with 6 edges 12, each with 4 edges 8, each with 6 edges 24, each with 2 edges
antipodal sets	4 of ( 2v ), 6 of ( 2f ), 12 of ( 2e )
rotational symmetry group	48 elements.
full symmetry group	96 elements.
its presentation c	< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, (rs‑2)2, s6 >
C&D number c	R3.4
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S3:{6,4}.

Its Petrie dual is S5:{6,6}.

It is a 2-fold cover of N4:{4,6}₃.
It is a 2-fold cover of N4:{4,6}₆.
It is a 2-fold cover of S2:{4,6}.

It can be 3-split to give R19.18′.

It can be rectified to give rectification of S3:{6,4}.

List of regular maps in orientable genus 3.

Underlying Graph

Its skeleton is 2 . cubic graph.

Other Regular Maps

General Index

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