S6:{4,24}

Statistics

genus c6, orientable
Schläfli formula c{4,24}
V / F / E c 2 / 12 / 24
notesFaces share vertices with themselves is not a polyhedral map permutes its vertices oddly
vertex, face multiplicity c24, 2
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
2, each with 24 edges
24, each with 2 edges
4, each with 12 edges
12, each with 4 edges
6, each with 8 edges
rotational symmetry group48 elements.
full symmetry group96 elements.
its presentation c< r, s, t | t2, r4, (rs)2, (rs‑1)2, (rt)2, (st)2, s6r2s6  >
C&D number cR6.5
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S6:{24,4}.

Its Petrie dual is S11:{24,24}4.

It is a member of series h.

List of regular maps in orientable genus 6.

Underlying Graph

Its skeleton is 24 . K2.

Other Regular Maps

General Index

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