S5:{11,22}

Statistics

genus c5, orientable
Schläfli formula c{11,22}
V / F / E c 1 / 2 / 11
notesFaces share vertices with themselves Vertices share edges with themselves trivial is not a polyhedral map permutes its vertices evenly
vertex, face multiplicity c22, 11
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, sr2s, (r, s), (rt)2, (st)2, r‑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:{22,11}.

Its Petrie dual is the hemi-22-hosohedron.

It can be 2-split to give R10.23.

It is a member of series z.

List of regular maps in orientable genus 5.


Other Regular Maps

General Index

The image on this page is copyright © 2010 N. Wedd