S3:{8,8}2

Statistics

genus c3, orientable
Schläfli formula c{8,8}
V / F / E c 2 / 2 / 8
notesFaces share vertices with themselves trivial is not a polyhedral map permutes its vertices oddly
vertex, face multiplicity c8, 8
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
4th-order holes
8, each with 2 edges
4, each with 4 edges
8, each with 2 edges
2, each with 8 edges
8, each with 2 edges
8, each with 2 edges
antipodal sets1 of ( 2v ), 1 of ( 2f ), 4 of ( 2e )
rotational symmetry groupC8×C2, with 16 elements
full symmetry groupD16×C2, with 32 elements
its presentation c< r, s, t | t2, sr2s, (r, s), (rt)2, (st)2, r8 >
C&D number cR3.11
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

Its Petrie dual is the 8-hosohedron.

It is a 2-fold cover of S2:{8,8}.

It can be rectified to give S3:{8,4|2}.

It is a member of series k.

List of regular maps in orientable genus 3.

Underlying Graph

Its skeleton is 8 . K2.

Other Regular Maps

General Index

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