In six-dimensional geometry, a rectified 6-cube is a convex uniform 6-polytope, being a rectification of the regular 6-cube.
Vertices of the birectified 6-cube are located in the square face centers of the 6-cube.
The rectified 6-cube may be constructed from the 6-cube by truncating its vertices at the midpoints of its edges.
The Cartesian coordinates of the vertices of the rectified 6-cube with edge length √2 are all permutations of: The birectified 6-cube may be constructed from the 6-cube by truncating its vertices at the midpoints of its edges.
The Cartesian coordinates of the vertices of the rectified 6-cube with edge length √2 are all permutations of: These polytopes are part of a set of 63 uniform 6-polytopes generated from the B6 Coxeter plane, including the regular 6-cube or 6-orthoplex.