 7-simplex   
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 Runcinated 7-simplex
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 Biruncinated 7-simplex
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 Runcitruncated 7-simplex
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 Biruncitruncated 7-simplex
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 Runcicantellated 7-simplex
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 Biruncicantellated 7-simplex
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 Runcicantitruncated 7-simplex
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 Biruncicantitruncated 7-simplex
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| Orthogonal projections in A7 Coxeter plane | ||
|---|---|---|
In seven-dimensional geometry, a runcinated 7-simplex is a convex uniform 7-polytope with 3rd order truncations (runcination) of the regular 7-simplex.
There are 8 unique runcinations of the 7-simplex with permutations of truncations, and cantellations.