 7-simplex   
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 Truncated 7-simplex
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 Bitruncated 7-simplex
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 Tritruncated 7-simplex
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| Orthogonal projections in A7 Coxeter plane | ||
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In seven-dimensional geometry, a truncated 7-simplex is a convex uniform 7-polytope, being a truncation of the regular 7-simplex.
There are unique 3 degrees of truncation. Vertices of the truncation 7-simplex are located as pairs on the edge of the 7-simplex. Vertices of the bitruncated 7-simplex are located on the triangular faces of the 7-simplex. Vertices of the tritruncated 7-simplex are located inside the tetrahedral cells of the 7-simplex.