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In 5-dimensional geometry, there are 19 uniform polytopes with A5 symmetry. There is one self-dual regular form, the 5-simplex with 6 vertices. Each can be visualized as symmetric orthographic projections in Coxeter planes of the A5 Coxeter group, and other subgroups. == Graphs == Symmetric orthographic projections of these 19 polytopes can be made in the A5, A4, A3, A2 Coxeter planes. Ak graphs have ''()'' symmetry. For even k and symmetrically nodea_1ed-diagrams, symmetry doubles to ''()''. These 19 polytopes are each shown in these 4 symmetry planes, with vertices and edges drawn, and vertices colored by the number of overlapping vertices in each projective position. Rectified 5-simplex (rix) |- BGCOLOR="#e0f0e0" align=center !3 | 80px | 80px | 80px | 80px | t2 Birectified 5-simplex (dot) |- align=center !4 | 80px | 80px | 80px | 80px | t0,1 Truncated 5-simplex (tix) |- align=center !5 | 80px | 80px | 80px | 80px | t1,2 Bitruncated 5-simplex (bittix) |- align=center !6 | 80px | 80px | 80px | 80px | t0,2 Cantellated 5-simplex (sarx) |- BGCOLOR="#e0f0e0" align=center !7 | 80px | 80px | 80px | 80px | t1,3 Bicantellated 5-simplex (sibrid) |- align=center !8 | 80px | 80px | 80px | 80px | t0,3 Runcinated 5-simplex (spix) |- BGCOLOR="#e0f0e0" align=center !9 | 80px | 80px | 80px | 80px | t0,4 Stericated 5-simplex (scad) |- align=center !10 | 80px | 80px | 80px | 80px | t0,1,2 Cantitruncated 5-simplex (garx) |- BGCOLOR="#e0f0e0" align=center !11 | 80px | 80px | 80px | 80px | t1,2,3 Bicantitruncated 5-simplex (gibrid) |- align=center !12 | 80px | 80px | 80px | 80px | t0,1,3 Runcitruncated 5-simplex (pattix) |- align=center !13 | 80px | 80px | 80px | 80px | t0,2,3 Runcicantellated 5-simplex (pirx) |- align=center !14 | 80px | 80px | 80px | 80px | t0,1,4 Steritruncated 5-simplex (cappix) |- BGCOLOR="#e0f0e0" align=center !15 | 80px | 80px | 80px | 80px | t0,2,4 Stericantellated 5-simplex (card) |- align=center !16 | 80px | 80px | 80px | 80px | t0,1,2,3 Runcicantitruncated 5-simplex (gippix) |- align=center !17 | 80px | 80px | 80px | 80px | t0,1,2,4 Stericantitruncated 5-simplex (cograx) |- BGCOLOR="#e0f0e0" align=center !18 | 80px | 80px | 80px | 80px | t0,1,3,4 Steriruncitruncated 5-simplex (captid) |- BGCOLOR="#e0f0e0" align=center !19 | 80px | 80px | 80px | 80px | t0,1,2,3,4 Omnitruncated 5-simplex (gocad) |} 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「List of A5 polytopes」の詳細全文を読む スポンサード リンク
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