S6:{4,6}

Statistics

genus c6, orientable
Schläfli formula c{4,6}
V / F / E c 20 / 30 / 60
notesreplete singular is a polyhedral map permutes its vertices oddly
vertex, face multiplicity c1, 1
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
12, each with 10 edges
40, each with 3 edges
30, each with 4 edges
20, each with 6 edges
antipodal sets10 of ( 2v ), 15 of ( 2f ), 30 of ( 2e )
rotational symmetry groupS5, with 120 elements
full symmetry group240 elements.
its presentation c< r, s, t | t2, r4, (rs)2, (rt)2, (st)2, (s‑1r)3, s6  >
C&D number cR6.2
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