Great grand stellated 120-cell
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| Great grand stellated 120-cell | |
|---|---|
 Orthogonal projection |
|
| Type | Schläfli-Hess polychoron |
| Cells | 120 {5/2,3} |
| Faces | 720 {5/2} |
| Edges | 1200 |
| Vertices | 600 |
| Vertex figure | {3,3} |
| Schläfli symbol | {5/2,3,3} |
| Coxeter-Dynkin diagram |     |
| Symmetry group | H4, [3,3,5] |
| Dual | Grand 600-cell |
| Properties | -- |
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, the same 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.
[edit] 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
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[edit] 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 [1].
- H. S. M. Coxeter, Regular Polytopes, 3rd. ed., Dover Publications, 1973. ISBN 0-486-61480-8.
