7-orthoplex |
Rectified 7-orthoplex |
Birectified 7-orthoplex |
Trirectified 7-orthoplex |
Birectified 7-cube |
Rectified 7-cube |
7-cube | |
Orthogonal projections in B7 Coxeter plane |
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In seven-dimensional geometry, a rectified 7-orthoplex is a convex uniform 7-polytope, being a rectification of the regular 7-orthoplex.
There are unique 7 degrees of rectifications, the zeroth being the 7-orthoplex, and the 6th and last being the 7-cube. Vertices of the rectified 7-orthoplex are located at the edge-centers of the 7-orthoplex. Vertices of the birectified 7-orthoplex are located in the triangular face centers of the 7-orthoplex. Vertices of the trirectified 7-orthoplex are located in the tetrahedral cell centers of the 7-orthoplex.