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List of D4 polytopes : ウィキペディア英語版 | List of D4 polytopes
In 4-dimensional geometry, there are 7 uniform 4-polytopes with reflections of D4 symmetry, all are shared with higher symmetry constructions in the B4 or F4 symmetry families. there is also one half symmetry alternation, the snub 24-cell. == Visualizations== Each can be visualized as symmetric orthographic projections in Coxeter planes of the D4 Coxeter group, and other subgroups. The B4 coxeter planes are also displayed, while D4 polytopes only have half the symmetry. They can also be shown in perspective projections of Schlegel diagrams, centered on different cells. |80px |80px |80px | |80px |80px |- align=center !17 ||cantic tesseract (Same as truncated 16-cell) = = h2 = = t t |80px |80px |80px | |80px |80px |- align=center !11 |runcic tesseract birectified 16-cell (Same as rectified tesseract) = = h3 = = r 2r |80px |80px |80px |80px | |80px |- align=center !16 |runcicantic tesseract bitruncated 16-cell (Same as bitruncated tesseract) = = h2,3 = = 2t 2t |80px |80px |80px | | 80px |80px |} = |80px |80px |80px |80px | |80px | |80px |- align=center !23 ||cantellated 16-cell (Same as ''rectified 24-cell'') = = r = rr = r |80px |80px |80px |80px | | 80px | |80px |- align=center !24 ||cantitruncated 16-cell (Same as ''truncated 24-cell'') = = t = tr = tr = t |80px |80px |80px |80px | |80px | |80px |- BGCOLOR="#d0f0f0" align=center !31 ||(Same as snub 24-cell) = = s = sr = sr = s |80px |80px |80px |80px | | |80px |80px |}
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