Three Coxeter Group Constructions
There are two lower symmetry forms of the 24-cell, derived as a rectified 16-cell, with B4 or symmetry drawn bicolored with 8 and 16 octahedral cells. Lastly it can be constructed from D4 or symmetry, and drawn tricolored with 8 octahedra each.
| Rectified demitesseract | Rectified 16-cell | Regular 24-cell |
|---|---|---|
| D4: Three sets of 8 rectified tetrahedral cells | B4:One set of 16 rectified tetrahedral cells and one set of 8 octahedral cells. | F4: One set of 24 octahedral cells |
| Vertex figure (Each edge corresponds to one triangular face, colored by symmetry arrangement) |
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