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List of B4 polytopes : ウィキペディア英語版 | List of B4 polytopes
In 4-dimensional geometry, there are 15 uniform 4-polytopes with B4 symmetry. There are two regular forms, the tesseract, and 16-cell with 16 and 8 vertices respectively. == Visualizations==
They can be visualized as symmetric orthographic projections in Coxeter planes of the B5 Coxeter group, and other subgroups. Symmetric orthographic projections of these 32 polytopes can be made in the B5, B4, B3, B2, A3, Coxeter planes. Ak has ''()'' symmetry, and Bk has ''()'' symmetry. These 32 polytopes are each shown in these 5 symmetry planes, with vertices and edges drawn, and vertices colored by the number of overlapping vertices in each projective position. The pictures are drawn as Schlegel diagram perspective projections, centered on the cell at pos. 3, with a consistent orientation, and the 16 cells at position 0 are shown solid, alternately colored. |80px |80px |80px |80px |70px | |70px |- BGCOLOR="#e0e0f0" !12 ||16-cell = |80px |80px |80px |80px | |80px |70px |- BGCOLOR="#f0e0e0" !13 ||truncated 8-cell = t |80px |80px |80px |80px |80px | |70px |- BGCOLOR="#f0e0e0" !14 ||cantellated 8-cell = rr |80px |80px |80px |80px |80px | |70px |- BGCOLOR="#e0f0e0" !15 ||''runcinated 8-cell'' (also ''runcinated 16-cell'') = t03 |80px |80px |80px |80px |80px |80px |70px |- BGCOLOR="#e0f0e0" !16 ||''bitruncated 8-cell'' (also ''bitruncated 16-cell'') = 2t |80px |80px |80px |80px | 80px |80px |70px |- BGCOLOR="#e0e0f0" !17 ||truncated 16-cell = t |80px |80px |80px |80px | |80px |70px |- BGCOLOR="#f0e0e0" !18 ||cantitruncated 8-cell = tr |80px |80px |80px |80px | 80px | |70px |- BGCOLOR="#f0e0e0" !19 ||runcitruncated 8-cell = t013 |80px |80px |80px |80px | 80px | |70px |- BGCOLOR="#e0e0f0" !20 ||runcitruncated 16-cell = t013 |80px |80px |80px |80px | | 80px |70px |- BGCOLOR="#e0f0e0" !21 ||''omnitruncated 8-cell'' (also ''omnitruncated 16-cell'') = t0123 |80px |80px |80px |80px |80px |80px |70px |} |80px |80px |80px |80px |80px | |80px |70px |- BGCOLOR="#e0e0f0" !23 || *cantellated 16-cell (Same as ''rectified 24-cell'') = rr = r |80px |80px |80px |80px |80px | | 80px | 70px |- BGCOLOR="#e0e0f0" !24 || *cantitruncated 16-cell (Same as ''truncated 24-cell'') = tr = t |80px |80px |80px |80px |80px | |80px |70px |} |80px |80px |80px |80px | | |80px |70px |}
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