Great grand stellated 120-cell
- Great grand stellated 120-cell
In geometry, the great grand stellated 120-cell is a star polychoron with Schläfli symbol {5/2,3,3}. It is one of 10 regular Schläfli-Hess polychora. It is unique among the 10 for having 600 vertices, and has the same vertex arrangement as the regular convex 120-cell.
It is one of four "regular star polychora" discovered by Ludwig Schläfli. It is named by John Horton Conway, extending the naming system by Arthur Cayley for the Kepler-Poinsot solids, and the only one containing all three modifiers in the name.
As a stellation
The great grand stellated 120-cell is the "final stellation" of the 120-cell.
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
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.
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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