The 7-hosohedron

Statistics

genus c0, orientable
Schläfli formula c{2,7}
V / F / E c 2 / 7 / 7
notesFaces with < 3 edges trivial is not a polyhedral map permutes its vertices oddly
vertex, face multiplicity c7, 1
Petrie polygons
holes
2nd-order Petrie polygons
3rd-order holes
3rd-order Petrie polygons
1, with 14 edges
7, each with 2 edges
1, with 14 edges
7, each with 2 edges
1, with 14 edges
antipodal sets1 of ( 2v ), 7 of ( f, e, h2, h3 )
rotational symmetry groupD14, with 14 elements
full symmetry groupD28, with 28 elements
its presentation c< r, s, t | r2, s2, t2, (rs)2, (st)7, (rt)2 >
C&D number cR0.n7
The statistics marked c are from the published work of Professor Marston Conder.

Relations to other Regular Maps

Its dual is the di-heptagon.

Its Petrie dual is S3:{14,7}.

It can be rectified to give the 7-lucanicohedron.

Its half shuriken is the hemi-14-hosohedron.

List of regular maps in orientable genus 0.

Underlying Graph

Its skeleton is 7 . K2.

Cayley Graphs based in this Regular Map


Type II

D14

Type IIa

C14

Type III

D28

Type IIIa

D28

Other Regular Maps

General Index

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