Icosahedral 120-cell
In geometry, the icosahedral 120-cell, polyicosahedron, faceted 600-cell or icosaplex is a regular star 4-polytope with Schläfli symbol {3,5,5/2}. It is one of 10 regular Schläfli-Hess polytopes.
| Icosahedral 120-cell | |
|---|---|
Orthogonal projection | |
| Type | Schläfli-Hess polytope |
| Cells | 120 {3,5} |
| Faces | 1200 {3} |
| Edges | 720 |
| Vertices | 120 |
| Vertex figure | {5,5/2} |
| Schläfli symbol | {3,5,5/2} |
| Symmetry group | H4, [3,3,5] |
| Coxeter-Dynkin diagram | |
| Dual | Small stellated 120-cell |
| Properties | Regular |
It is constructed by 5 icosahedra around each edge in a pentagrammic figure. The vertex figure is a great dodecahedron.
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