Rectified 6-cubes
In six-dimensional geometry, a rectified 6-cube is a convex uniform 6-polytope, being a rectification of the regular 6-cube. There are unique 6 degrees of rectifications, the zeroth being the 6-cube, and the 6th and last being the 6-orthoplex. Vertices of the rectified 6-cube are located at the edge-centers of the 6-cube. Vertices of the birectified 6-cube are located in the square face centers of the 6-cube. Rectified 6-cube. Construction. The rectified 6-cube may be constructed from the 6-cube by truncating its vertices at  the midpoints of its edges. Coordinates. The Cartesian coordinates of the vertices of the rectified 6-cube with edge length are all permutations of: Birectified 6-cube. Construction. The birectified 6-cube may be constructed from the 6-cube by truncating its vertices at the midpoints of its edges. Coordinates. The Cartesian coordinates of the vertices of the rectified 6-cube with edge length are all permutations of: Related polytopes. These polytopes are part of a set of 63 uniform 6-polytopes generated from the B Coxeter plane, including the regular 6-cube or 6-orthoplex. Rectified 6-cubes In