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24-cell

In four-dimensional geometry, the 24-cell is the convex regular 4-polytope with Schläfli symbol {3,4,3}. It is also called C₂₄, or the icositetrachoron, octaplex, icosatetrahedroid, octacube, hyper-diamond or polyoctahedron, being constructed of... Wikipedia
Cells: 24
Coxeter group: F4,, order 1152; B4,, order 384; D4,, order 192
Dual: Self-dual
Faces: 96
Petrie polygon: dodecagon
Vertex figure: Cube