S6:{4,6}

Statistics

genus c	6, orientable
Schläfli formula c	{4,6}
V / F / E c	20 / 30 / 60
notes
vertex, face multiplicity c	1, 1
Petrie polygons holes 2nd-order Petrie polygons 3rd-order holes 3rd-order Petrie polygons	12, each with 10 edges 40, each with 3 edges 30, each with 4 edges 20, each with 6 edges 20, each with 6 edges
antipodal sets	10 of ( 2v ), 15 of ( 2f ), 30 of ( 2e )
rotational symmetry group	S5, with 120 elements
full symmetry group	240 elements.
its presentation c	< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, (s‑1r)3, s6  >
C&D number c	R6.2
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S6:{6,4}.

It is a 2-fold cover of C7:{4,6}.

List of regular maps in orientable genus 6.

Other Regular Maps

General Index

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