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List of A4 polytopes : ウィキペディア英語版 | List of A4 polytopes
In 4-dimensional geometry, there are 9 uniform polytopes with A4 symmetry. There is one self-dual regular form, the 5-cell with 5 vertices. == Visualizations== Each can be visualized as symmetric orthographic projections in Coxeter planes of the A4 Coxeter group, and other subgroups. Three Coxeter plane 2D projections are given, for the A4, A3, A2 Coxeter groups, showing symmetry order 5,4,3, and doubled on even Ak orders to 10,4,6 for symmetric Coxeter diagrams. 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. |60px |60px |60px |60px | |60px |- BGCOLOR="#f0e0e0" align=center !3 ||truncated 5-cell || t |60px |60px |60px |60px | |60px |- BGCOLOR="#f0e0e0" align=center !4 ||cantellated 5-cell || rr |60px |60px |60px |60px | |60px |- BGCOLOR="#f0e0e0" align=center !7 ||cantitruncated 5-cell || tr |60px |60px |60px |60px | |60px |- BGCOLOR="#f0e0e0" align=center !8 ||runcitruncated 5-cell || t0,1,3 |60px |60px |60px |60px | |60px |} |60px |60px |60px |60px |60px |- BGCOLOR="#e0f0e0" align=center !9 || *omnitruncated 5-cell || t0,1,2,3 |60px |60px |60px |60px |60px |}
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