The di-11-gon

Statistics

genus c0, orientable
Schläfli formula c{11,2}
V / F / E c 11 / 2 / 11
notesVertices with < 3 edges trivial is not a polyhedral map permutes its vertices oddly
vertex, face multiplicity c1, 11
Petrie polygons
1, with 22 edges
antipodal sets1 of ( v, e ), 1 of ( 2f )
rotational symmetry groupD22, with 22 elements
full symmetry groupD44, with 44 elements
its presentation c< r, s, t | r2, s2, t2, (rs)11, (st)2, (rt)2 >
C&D number cR0.n11′
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is the 11-hosohedron.

Its Petrie dual is the regular map with C&D number N1.n11p.

It can be rectified to give the 11-lucanicohedron.

List of regular maps in orientable genus 0.

Underlying Graph

Its skeleton is 11-cycle.

Cayley Graphs based in this Regular Map


Type I

C11

Other Regular Maps

General Index

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