S5:{22,11}

Statistics

genus c5, orientable
Schläfli formula c{22,11}
V / F / E c 2 / 1 / 11
notesFaces share vertices with themselves Faces share edges with themselves trivial is not a polyhedral map permutes its vertices oddly
vertex, face multiplicity c11, 22
Petrie polygons
11, each with 2 edges
rotational symmetry groupC22, with 22 elements
full symmetry groupD44, with 44 elements
its presentation c< r, s, t | t2, rs2r, (s, r), (st)2, (rt)2, s‑11  >
C&D number cR5.14′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is S5:{11,22}.

Its Petrie dual is the 11-hosohedron.

It is a member of series i.

List of regular maps in orientable genus 5.

Underlying Graph

Its skeleton is 11 . K2.

Other Regular Maps

General Index

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