24-cell - Three Coxeter Group Constructions

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.

Three nets of the 24-cell with cells colored by D4, B4, and F4 symmetry
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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