Great grand stellated 120-cell
In geometry, the great grand stellated 120-cell or great grand stellated polydodecahedron is a regular star 4-polytope with Schläfli symbol {5/2,3,3}, one of 10 regular Schläfli-Hess 4-polytopes. It is unique among the 10 for having 600 vertices, and has the same vertex arrangement as the regular convex 120-cell.
| 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 | Regular |
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.
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