S4:{16,16}

Statistics

genus c4, orientable
Schläfli formula c{16,16}
V / F / E c 1 / 1 / 8
notesFaces share vertices with themselves Faces share edges with themselves Vertices share edges with themselves trivial is not a polyhedral map permutes its vertices evenly
vertex, face multiplicity c16, 16
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
8, each with 2 edges
2 double, each with 8 edges
8, each with 2 edges
1 double Eulerian, with 16 edges
8, each with 2 edges
rotational symmetry groupC16, with 16 elements
full symmetry groupD32, with 32 elements
its presentation c< r, s, t | t2, sr2s, (r, s), (rt)2, (st)2, r7s‑1 >
C&D number cR4.12
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

It is self-dual.

It can be rectified to give S4:{16,4}.

It is a member of series s.

List of regular maps in orientable genus 4.

Underlying Graph

Its skeleton is 8 . 1-cycle.

Other Regular Maps

General Index

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