The **pentistericantitruncated 6-simplex**, also called the **pentistericantitruncated heptapeton**, **tericelligreatorhombated heptapeton**, or **tacogral**, is a convex uniform 6-polytope. It consists of 7 stericantitruncated 5-simplices, 7 steriruncitruncated 5-simplices, 21 prismatorhombated pentachoric prisms, 21 great rhombated pentachoric prisms, 35 hexagonal-truncated tetrahedral duoprisms, and 35 hexagonal-truncated octahedral duoprisms. 1 stericantitruncated 5-simplex, 1 steriruncitruncated 5-simplex, 1 prismatorhombated pentachoric prism, 1 great rhombated pentachoric prism, 1 hexagonal-truncated tetrahedral duoprism, and 2 hexagonal-truncated octahedral duoprisms join at each vertex. As the name suggests, it is the pentistericantitruncation of the 6-simplex.

truncations |
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Name | OBSA | Schläfli symbol | CD diagram | Image |
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6-simplex | hop | {3,3,3,3,3} | | |
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Rectified 6-simplex | ril | r{3,3,3,3,3} | | |
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Birectified 6-simplex | bril | t_{2}{3,3,3,3,3} | | |
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Truncated 6-simplex | til | t{3,3,3,3,3} | | |
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Cantellated 6-simplex | sril | rr{3,3,3,3,3} | | |
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Runcinated 6-simplex | spil | t_{0,3}{3,3,3,3,3} | | |
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Stericated 6-simplex | scal | t_{0,4}{3,3,3,3,3} | | |
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Pentellated 6-simplex | staf | t_{0,5}{3,3,3,3,3} | | |
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Bitruncated 6-simplex | batal | t_{1,2}{3,3,3,3,3} | | |
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Bicantellated 6-simplex | sabril | t_{1,3}{3,3,3,3,3} | | |
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Biruncinated 6-simplex | sibpof | t_{1,4}{3,3,3,3,3} | | |
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Tritruncated 6-simplex | fe | t_{2,3}{3,3,3,3,3} | | |
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Cantitruncated 6-simplex | gril | tr{3,3,3,3,3} | | |
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Runcitruncated 6-simplex | patal | t_{0,1,3}{3,3,3,3,3} | | |
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Steritruncated 6-simplex | catal | t_{0,1,4}{3,3,3,3,3} | | |
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Pentitruncated 6-simplex | tocal | t_{0,1,5}{3,3,3,3,3} | | |
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Runcicantellated 6-simplex | pril | t_{0,2,3}{3,3,3,3,3} | | |
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Stericantellated 6-simplex | cral | t_{0,2,4}{3,3,3,3,3} | | |
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Penticantellated 6-simplex | topal | t_{0,2,5}{3,3,3,3,3} | | |
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Steriruncinated 6-simplex | copal | t_{0,3,4}{3,3,3,3,3} | | |
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Bicantitruncated 6-simplex | gabril | t_{1,2,3}{3,3,3,3,3} | | |
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Biruncitruncated 6-simplex | bapril | t_{1,2,4}{3,3,3,3,3} | | |
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Runcicantitruncated 6-simplex | gapil | t_{0,1,2,3}{3,3,3,3,3} | | |
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Stericantitruncated 6-simplex | cagral | t_{0,1,2,4}{3,3,3,3,3} | | |
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Penticantitruncated 6-simplex | togral | t_{0,1,2,5}{3,3,3,3,3} | | |
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Steriruncitruncated 6-simplex | captal | t_{0,1,3,4}{3,3,3,3,3} | | |
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Pentiruncitruncated 6-simplex | tocral | t_{0,1,3,5}{3,3,3,3,3} | | |
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Pentisteritruncated 6-simplex | tactaf | t_{0,1,4,5}{3,3,3,3,3} | | |
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Steriruncicantellated 6-simplex | copril | t_{0,2,3,4}{3,3,3,3,3} | | |
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Pentiruncicantellated 6-simplex | taporf | t_{0,2,3,5}{3,3,3,3,3} | | |
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Biruncicantitruncated 6-simplex | gibpof | t_{1,2,3,4}{3,3,3,3,3} | | |
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Steriruncicantitruncated 6-simplex | gacal | t_{0,1,2,3,4}{3,3,3,3,3} | | |
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Pentiruncicantitruncated 6-simplex | tagopal | t_{0,1,2,3,5}{3,3,3,3,3} | | |
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Pentistericantitruncated 6-simplex | tacogral | t_{0,1,2,4,5}{3,3,3,3,3} | | |
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Omnitruncated 6-simplex | gotaf | t_{0,1,2,3,4,5}{3,3,3,3,3} | | |
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