 5-simplex   
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 Runcinated 5-simplex
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 Runcitruncated 5-simplex
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 Birectified 5-simplex
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 Runcicantellated 5-simplex
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 Runcicantitruncated 5-simplex
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| Orthogonal projections in A5 Coxeter plane | ||
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In six-dimensional geometry, a runcinated 5-simplex is a convex uniform 5-polytope with 3rd order truncations (Runcination) of the regular 5-simplex.
There are 4 unique runcinations of the 5-simplex with permutations of truncations, and cantellations.