| Omnitruncated 24-cell | ||
| Type | Uniform polychoron | |
| Schläfli symbol | t0,1,2,3{3,4,3} | |
| Coxeter-Dynkin diagram | ||
| Cells | 240 | 48 (4.6.8) 192 (4.4.6) |
| Faces | 1392 | 864{4} 384{6} 144{8} |
| Edges | 2304 | |
| Vertices | 1152 | |
| Vertex figure | Irreg. tetrahedron |
|
| Symmetry group | F4, ], order 2304 | |
| Properties | convex | |
| Uniform index | 29 30 31 | |
The omnitruncated 24-cell is a uniform polychoron derived from the 24-cell. It is composed of 1152 vertices, 2304 edges, and 1392 faces (864 squares, 384 hexagons, and 144 octagons). It has 240 cells: 48 great rhombicuboctahedra, 192 hexagonal prisms. Each vertex contains four cells in an irregular tetrahedral vertex figure: two hexagonal prisms, and two truncated cuboctahedra.
Read more about this topic: Runcinated 24-cell