| Rectified 120-cell | |
|---|---|
Schlegel diagram, centered on icosidodecahedon, tetrahedral cells visible |
|
| Type | Uniform polychoron |
| Uniform index | 33 |
| Coxeter-Dynkin diagram | |
| Cells | 720 total: 120 (3.5.3.5) 600 (3.3.3) |
| Faces | 3120 total: 2400 {3}, 720 {5} |
| Edges | 3600 |
| Vertices | 1200 |
| Vertex figure | triangular prism |
| Schläfli symbol | t1{5,3,3} |
| Symmetry group | H4 or |
| Properties | convex, edge-transitive |
In geometry, the rectified 120-cell is a convex uniform polychoron composed of 600 regular tetrahedra and 120 icosidodecahedra cells. Its vertex figure is a triangular prism, with 3 icosidodecahedra and 2 tetrahedra meeting at each vertex.
Alternative names:
- Rectified 120-cell (Norman Johnson)
- Rectified hecatonicosichoron
- Rectified polydodecahedron
- Icosidodecahedral hexacosihecatonicosachoron
- Rahi (Jonathan Bowers: for rectified hecatonicosachoron)
- Ambohecatonicosachoron (Neil Sloane & John Horton Conway)
Read more about this topic: Rectified 120-cell