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In 6-dimensional geometry, there are 35 uniform polytopes with A6 symmetry. There is one self-dual regular form, the 6-simplex with 7 vertices. Each can be visualized as symmetric orthographic projections in Coxeter planes of the A6 Coxeter group, and other subgroups. == Graphs == Symmetric orthographic projections of these 35 polytopes can be made in the A6, A5, A4, A3, A2 Coxeter planes. Ak graphs have ''()'' symmetry. For even k and symmetric ringed diagrams, symmetry doubles to ''()''. These 63 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. Rectified 6-simplex Rectified heptapeton (ril) |- align=center |3||80px||80px||80px||80px||80px|| t0,1 Truncated 6-simplex Truncated heptapeton (til) |- align=center |4||80px||80px||80px||80px||80px|| t2 Birectified 6-simplex Birectified heptapeton (bril) |- align=center |5||80px||80px||80px||80px||80px|| t0,2 Cantellated 6-simplex Small rhombated heptapeton (sril) |- align=center |6||80px||80px||80px||80px||80px|| t1,2 Bitruncated 6-simplex Bitruncated heptapeton (batal) |- align=center |7||80px||80px||80px||80px||80px|| t0,1,2 Cantitruncated 6-simplex Great rhombated heptapeton (gril) |- align=center |8||80px||80px||80px||80px||80px|| t0,3 Runcinated 6-simplex Small prismated heptapeton (spil) |- align=center |9||80px||80px||80px||80px||80px|| t1,3 Bicantellated 6-simplex Small birhombated heptapeton (sabril) |- align=center |10||80px||80px||80px||80px||80px|| t0,1,3 Runcitruncated 6-simplex Prismatotruncated heptapeton (patal) |- align=center BGCOLOR="#e0f0e0" |11||80px||80px||80px||80px||80px|| t2,3 Tritruncated 6-simplex Tetradecapeton (fe) |- align=center |12||80px||80px||80px||80px||80px|| t0,2,3 Runcicantellated 6-simplex Prismatorhombated heptapeton (pril) |- align=center |13||80px||80px||80px||80px||80px|| t1,2,3 Bicantitruncated 6-simplex Great birhombated heptapeton (gabril) |- align=center |14||80px||80px||80px||80px||80px|| t0,1,2,3 Runcicantitruncated 6-simplex Great prismated heptapeton (gapil) |- align=center |15||80px||80px||80px||80px||80px|| t0,4 Stericated 6-simplex Small cellated heptapeton (scal) |- align=center BGCOLOR="#e0f0e0" |16||80px||80px||80px||80px||80px|| t1,4 Biruncinated 6-simplex Small biprismato-tetradecapeton (sibpof) |- align=center |17||80px||80px||80px||80px||80px|| t0,1,4 Steritruncated 6-simplex cellitruncated heptapeton (catal) |- align=center |18||80px||80px||80px||80px||80px|| t0,2,4 Stericantellated 6-simplex Cellirhombated heptapeton (cral) |- align=center |19||80px||80px||80px||80px||80px|| t1,2,4 Biruncitruncated 6-simplex Biprismatorhombated heptapeton (bapril) |- align=center |20||80px||80px||80px||80px||80px|| t0,1,2,4 Stericantitruncated 6-simplex Celligreatorhombated heptapeton (cagral) |- align=center |21||80px||80px||80px||80px||80px|| t0,3,4 Steriruncinated 6-simplex Celliprismated heptapeton (copal) |- align=center |22||80px||80px||80px||80px||80px|| t0,1,3,4 Steriruncitruncated 6-simplex celliprismatotruncated heptapeton (captal) |- align=center |23||80px||80px||80px||80px||80px|| t0,2,3,4 Steriruncicantellated 6-simplex celliprismatorhombated heptapeton (copril) |- align=center BGCOLOR="#e0f0e0" |24||80px||80px||80px||80px||80px|| t1,2,3,4 Biruncicantitruncated 6-simplex Great biprismato-tetradecapeton (gibpof) |- align=center |25||80px||80px||80px||80px||80px|| t0,1,2,3,4 Steriruncicantitruncated 6-simplex Great cellated heptapeton (gacal) |- align=center BGCOLOR="#e0f0e0" |26||80px||80px||80px||80px||80px|| t0,5 Pentellated 6-simplex Small teri-tetradecapeton (staf) |- align=center |27||80px||80px||80px||80px||80px|| t0,1,5 Pentitruncated 6-simplex Tericellated heptapeton (tocal) |- align=center |28||80px||80px||80px||80px||80px|| t0,2,5 Penticantellated 6-simplex Teriprismated heptapeton (tapal) |- align=center |29||80px||80px||80px||80px||80px|| t0,1,2,5 Penticantitruncated 6-simplex Terigreatorhombated heptapeton (togral) |- align=center |30||80px||80px||80px||80px||80px|| t0,1,3,5 Pentiruncitruncated 6-simplex Tericellirhombated heptapeton (tocral) |- align=center BGCOLOR="#e0f0e0" |31||80px||80px||80px||80px||80px|| t0,2,3,5 Pentiruncicantellated 6-simplex Teriprismatorhombi-tetradecapeton (taporf) |- align=center |32||80px||80px||80px||80px||80px|| t0,1,2,3,5 Pentiruncicantitruncated 6-simplex Terigreatoprismated heptapeton (tagopal) |- align=center BGCOLOR="#e0f0e0" |33||80px||80px||80px||80px||80px|| t0,1,4,5 Pentisteritruncated 6-simplex tericellitrunki-tetradecapeton (tactaf) |- align=center |34||80px||80px||80px||80px||80px|| t0,1,2,4,5 Pentistericantitruncated 6-simplex tericelligreatorhombated heptapeton (tacogral) |- align=center BGCOLOR="#e0f0e0" |35||80px||80px||80px||80px||80px|| t0,1,2,3,4,5 Omnitruncated 6-simplex Great teri-tetradecapeton (gotaf) |} 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 A6 polytopes」の詳細全文を読む スポンサード リンク
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