The 7-hosohedron

Statistics

genus c	0, orientable
Schläfli formula c	{2,7}
V / F / E c	2 / 7 / 7
notes
vertex, face multiplicity c	7, 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 sets	1 of ( 2v ), 7 of ( f, e, h2, h3 )
rotational symmetry group	D14, with 14 elements
full symmetry group	D28, with 28 elements
its presentation c	< r, s, t | r2, s2, t2, (rs)2, (st)7, (rt)2 >
C&D number c	R0.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.

It is its own 2-hole derivative.
It is its own 3-hole derivative.

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

Type IIa

Type III

Type IIIa

Other Regular Maps

General Index

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