In five-dimensional geometry, a rectified 5-orthoplex is a convex uniform 5-polytope, being a rectification of the regular 5-orthoplex.
Vertices of the birectified 5-orthoplex are located in the triangular face centers of the 5-orthoplex.
Its 40 vertices represent the root vectors of the simple Lie group D5.
Cartesian coordinates for the vertices of a rectified pentacross, centered at the origin, edge length
are all permutations of: The rectified 5-orthoplex is the vertex figure for the 5-demicube honeycomb: This polytope is one of 31 uniform 5-polytope generated from the regular 5-cube or 5-orthoplex.