Icosahedral 120-cell

Icosahedral 120-cell

In geometry, the icosahedral 120-cell is a star polychoron with Schläfli symbol {3,5,5/2}. It is one of 10 regular Schläfli-Hess polychora.

It is constructed by 5 icosahedra around each edge in a pentagrammic figure. The vertex figure is a great dodecahedron.

It has the same edge arrangement as the 600-cell, grand 120-cell and great 120-cell.

References

* Edmund Hess, (1883) "Einleitung in die Lehre von der Kugelteilung mit besonderer Berücksichtigung ihrer Anwendung auf die Theorie der Gleichflächigen und der gleicheckigen Polyeder" [http://www.hti.umich.edu/cgi/b/bib/bibperm?q1=ABN8623.0001.001] .
*H. S. M. Coxeter, "Regular Polytopes", 3rd. ed., Dover Publications, 1973. ISBN 0-486-61480-8.

See also

* List of regular polytopes
* Convex regular 4-polytope - Set of convex regular polychoron
* Kepler-Poinsot solids - regular star polyhedron
* Star polygon - regular star polygons

External links

* [http://hometown.aol.com/hedrondude/regulars.html Regular polychora]
* [http://mathforum.org/library/drmath/view/54786.html Discussion on names]
* [http://www.mathematik.uni-regensburg.de/Goette/sterne Reguläre Polytope]
* [http://davidf.faricy.net/polyhedra/Star_Polychora.html The Regular Star Polychora]


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