S4:{18,9}

Statistics

genus c4, orientable
Schläfli formula c{18,9}
V / F / E c 2 / 1 / 9
notesFaces share vertices with themselves Faces share edges with themselves trivial is not a polyhedral map permutes its vertices oddly
vertex, face multiplicity c9, 18
Petrie polygons
9, each with 2 edges
rotational symmetry groupC18, with 18 elements
full symmetry groupD18×C2, with 36 elements
its presentation c< r, s, t | t2, rs2r, (s, r), (st)2, (rt)2, sr‑1trs‑5ts >
C&D number cR4.10′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S4:{9,18}.

Its Petrie dual is the 9-hosohedron.

It is a member of series i.

List of regular maps in orientable genus 4.

Underlying Graph

Its skeleton is 9 . K2.

Other Regular Maps

General Index

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