 9-orthoplex    
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 Rectified 9-orthoplex
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 Birectified 9-orthoplex
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 Trirectified 9-orthoplex
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 Quadrirectified 9-cube
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 Trirectified 9-cube
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 Birectified 9-cube
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 Rectified 9-cube
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 9-cube
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| Orthogonal projections in A9 Coxeter plane | ||||
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In nine-dimensional geometry, a rectified 9-simplex is a convex uniform 9-polytope, being a rectification of the regular 9-orthoplex.
There are 9 rectifications of the 9-orthoplex. Vertices of the rectified 9-orthoplex are located at the edge-centers of the 9-orthoplex. Vertices of the birectified 9-orthoplex are located in the triangular face centers of the 9-orthoplex. Vertices of the trirectified 9-orthoplex are located in the tetrahedral cell centers of the 9-orthoplex.
These polytopes are part of a family 511 uniform 9-polytopes with BC9 symmetry.