In five-dimensional geometry, a rectified 5-cube is a convex uniform 5-polytope, being a rectification of the regular 5-cube.
Vertices of the birectified 5-cube are located in the square face centers of the 5-cube.
The rectified 5-cube may be constructed from the 5-cube by truncating its vertices at the midpoints of its edges.
The Cartesian coordinates of the vertices of the rectified 5-cube with edge length
The Cartesian coordinates of the vertices of a birectified 5-cube having edge length 2 are all permutations of: These polytopes are a part of 31 uniform polytera generated from the regular 5-cube or 5-orthoplex.