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In four-dimensional geometry, the 24-cell is a convex regular 4-polytope, a four-dimensional analogue of a Platonic solid. It is named for the 24 octahedra that form its boundary.
Root systems, Geometric description & Rotations
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rotation vertices regular cells 24 vertex displaystyle great rotations planes plane also right group two 5-cell left isoclinic symmetry convex
| Subject | Predicate | Object | Confidence | Src |
|---|---|---|---|---|
| 24-cell | Cells | 24 {3,4} | 1.00 | infobox |
| 24-cell | Coxeter diagram | or or | 1.00 | infobox |
| 24-cell | Coxeter group | F4, [3,4,3], order 1152 B4, [4,3,3], order 384 D4, [31,1,1], order 192 | 1.00 | infobox |
| 24-cell | Dual | Self-dual | 1.00 | infobox |
| 24-cell | Edges | 96 | 1.00 | infobox |
| 24-cell | Faces | 96 {3} | 1.00 | infobox |
| 24-cell | Petrie polygon | dodecagon | 1.00 | infobox |
| 24-cell | Properties | convex, isogonal, isotoxal, isohedral | 1.00 | infobox |
| 24-cell | Schläfli symbol | {3,4,3} r{3,3,4} = { 3 3 , 4 } {\displaystyle \left\{{\begin{array}{l}3\\3,4\end{array}}\right\}} {31,1,1} = { 3 3 3 } {\displaystyle \left\{{\begin{array}{l}3\\3\\3\end{array}}… | 1.00 | infobox |
| 24-cell | Type | Convex regular 4-polytope | 1.00 | infobox |
| 24-cell | Uniform index | 22 | 1.00 | infobox |
| 24-cell | Vertex figure | Cube | 1.00 | infobox |
| 24-cell | Vertices | 24 | 1.00 | infobox |
| 24-cell | is a | convex regular 4-polytope | 0.90 | text |
| 24-cell | is a | convex four-dimensional polytope boundary | 0.90 | text |
| 24-cell | is a | fourth in the sequence of six convex regular 4-polytopes | 0.90 | text |
| 24-cell | is a | 24-point 4-polytope | 0.90 | text |
| 24-cell | is a | convex hull of its vertices which can be described as the 24 coordinate permutations of | 0.90 | text |
| 24-cell | is a | Weyl group of F4 | 0.90 | text |
| 24-cell | is a | example of a parallelotope | 0.90 | text |
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