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List of F4 polytopes : ウィキペディア英語版 | List of F4 polytopes
In 4-dimensional geometry, there are 9 uniform 4-polytopes with F4 symmetry, and one chiral half symmetry, the snub 24-cell. There is one self-dual regular form, the 24-cell with 24 vertices. == Visualization==
Each can be visualized as symmetric orthographic projections in Coxeter planes of the F4 Coxeter group, and other subgroups. The 3D picture are drawn as Schlegel diagram projections, centered on the cell at pos. 3, with a consistent orientation, and the 5 cells at position 0 are shown solid. |80px |80px |80px |80px |80px | |80px |- BGCOLOR="#f0e0e0" align=center !23 ||rectified 24-cell (cantellated 16-cell) = r = rr |80px |80px |80px |80px | 80px | |80px |- BGCOLOR="#f0e0e0" align=center !24 ||truncated 24-cell (cantitruncated 16-cell) = t = tr |80px |80px |80px |80px |80px | |80px |- BGCOLOR="#f0e0e0" align=center !25 ||cantellated 24-cell rr |80px |80px |80px |80px |80px | |80px |- BGCOLOR="#f0e0e0" align=center !28 ||cantitruncated 24-cell tr |80px |80px |80px |80px |80px | |80px |- BGCOLOR="#f0e0e0" align=center !29 ||runcitruncated 24-cell t0,1,3 |80px |80px |80px |80px |80px | |80px |} |80px |80px |80px |80px |80px |80px |- BGCOLOR="#e0f0e0" align=center !30 || *omnitruncated 24-cell t0,1,2,3 |80px |80px |80px |80px |80px |80px |} | | |80px |80px | | |80px |80px |}
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