Rectified 24-cell
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| Rectified 24-cell | |
|---|---|
 Schlegel diagram 8 of 24 cuboctahedral cells shown |
|
| Type | Uniform polychoron |
| Cells | 24 3.4.3.4  24 4.4.4  |
| Faces | 96 {3} 144 {4} |
| Edges | 288 |
| Vertices | 96 |
| Vertex figure | Right equilateral-triangular prism |
| Schläfli symbol | t1{3,4,3} t0,2{3,3,4} t0,2,3{31,1,1} |
| Coxeter-Dynkin diagrams |        |
| Symmetry groups | F4 [3,4,3] B4 [3,3,4] D4 [31,1,1] |
| Properties | convex |
In geometry, the rectified 24-cell is a uniform 4-dimensional polytope (or uniform polychoron), which is bounded by 48 cells: 24 cubes, and 24 cuboctahedra.
It can also be considered a cantellated 16-cell with the lower symmetries B4 = [3,3,4], or even D4. B4 would lead to a bicoloring of the cuboctahedral cells into 8 + 16 colors, and D4 leads to 3 colors, 8 of each.
Contents |
[edit] Images
 Center of stereographic projection with 96 triangular faces blue |
[edit] Alternate names
- Rectified 24-cell (Norman Johnson)
- Rectified icositetrachoron
- Rectified polyoctahedron
- Cantellated 16-cell (Norman Johnson)
- Cantellated hexadecachoron
- Disicositetrachoron
- Rico (Jonathan Bowers: for rectified icositetrachoron)
- Amboicositetrachoron (Neil Sloane & John Horton Conway)
