Please note that the content of this book primarily consists of
articles available from Wikipedia or other free sources online. 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.
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