 10-orthoplex    
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 Rectified 10-orthoplex
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 Birectified 10-orthoplex
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 Trirectified 10-orthoplex
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 Quadirectified 10-orthoplex
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 Quadrirectified 10-cube
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 Trirectified 10-cube
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 Birectified 10-cube
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 Rectified 10-cube
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 10-cube
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| Orthogonal projections in A10 Coxeter plane | |||
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In ten-dimensional geometry, a rectified 10-orthoplex is a convex uniform 10-polytope, being a rectification of the regular 10-orthoplex.
There are 10 rectifications of the 10-orthoplex. Vertices of the rectified 10-orthoplex are located at the edge-centers of the 9-orthoplex. Vertices of the birectified 10-orthoplex are located in the triangular face centers of the 10-orthoplex. Vertices of the trirectified 10-orthoplex are located in the tetrahedral cell centers of the 10-orthoplex.
These polytopes are part of a family 1023 uniform 10-polytopes with BC10 symmetry.