S4:{4,16}

Statistics

genus c	4, orientable
Schläfli formula c	{4,16}
V / F / E c	2 / 8 / 16
notes
vertex, face multiplicity c	16, 2
Petrie polygons	2, each with 16 edges
rotational symmetry group	32 elements.
full symmetry group	64 elements.
its presentation c	< r, s, t | t2, r4, (rs)2, (rs‑1)2, (rt)2, (st)2, s‑4r2s‑4 >
C&D number c	R4.5
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S4:{16,4}.

Its Petrie dual is S7:{16,16}₄.

It is a member of series h.

List of regular maps in orientable genus 4.

Wireframe construction

	×	S2:{8,8}

Underlying Graph

Its skeleton is 16 . K₂.

Other Regular Maps

General Index

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