 8-simplex   
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 Runcinated 8-simplex
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 Biruncinated 8-simplex
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 Triruncinated 8-simplex
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 Runcitruncated 8-simplex
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 Biruncitruncated 8-simplex
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 Triruncitruncated 8-simplex
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 Runcicantellated 8-simplex
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 Biruncicantellated 8-simplex
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 Runcicantitruncated 8-simplex
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 Biruncicantitruncated 8-simplex
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 Triruncicantitruncated 8-simplex
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| Orthogonal projections in A8 Coxeter plane | |||
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In eight-dimensional geometry, a runcinated 8-simplex is a convex uniform 8-polytope with 3rd order truncations (runcination) of the regular 8-simplex.
There are eleven unique runcinations of the 8-simplex, including permutations of truncation and cantellation. The triruncinated 8-simplex and triruncicanti