Rectified 600-cell
From Wikipedia, the free encyclopedia
| Rectified 600-cell | |
|---|---|
 |
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| Type | Uniform polychoron |
| Cells | 600 (3.3.3.3) 120 (3.3.3.3.3) |
| Faces | 3600 {3} |
| Edges | 3600 |
| Vertices | 720 |
| Vertex figure | 5 (3.3.3.3) 2 (3.3.3.3.3) (pentagonal prism) |
| Schläfli symbol | t1{3,3,5} |
| Symmetry group | H4, [3,3,5] |
| Properties | convex |
In geometry, the rectified 600-cell is a convex uniform polychoron composed of 600 regular octahedra and 120 icosahedra cells. Each edge has two octahedra and one icosahedron. Each vertex has five octahedra and two icosahedra. In total it has 3600 triangle faces, 3600 edges, and 720 vertices.
It is one of three semiregular polychora made of two or more cells which are platonic solids.
Containing the cell realms of both the regular 120-cell and the regular 600-cell, it can be considered analogous to the polyhedron icosidodecahedron, which is a rectified icosahedron and rectified dodecahedron.
Names:
- Icosahedral hexacosihecatonicosachoron
- Rectified 600-cell (Norman W. Johnson)
- Rectified hexacosichoron
- Rectified polytetrahedron
- Rox (Jonathan Bowers)
The vertex figure of the rectified 600-cell is a regular pentagonal prism.
[edit] See also
[edit] External links
- Icosahedral hexacosihecatonicosachoron - Data
- rectified 600-cell - Data and images
