Rectified 7-cubes


In seven-dimensional geometry, a rectified 7-cube is a convex uniform 7-polytope, being a rectification of the regular 7-cube.
There are unique 7 degrees of rectifications, the zeroth being the 7-cube, and the 6th and last being the 7-cube. Vertices of the rectified 7-cube are located at the edge-centers of the 7-ocube. Vertices of the birectified 7-cube are located in the square face centers of the 7-cube. Vertices of the trirectified 7-cube are located in the cube cell centers of the 7-cube.

Rectified 7-cube

Alternate names

Cartesian coordinates

for the vertices of a rectified 7-cube, centered at the origin, edge length are all permutations of:

Birectified 7-cube

Alternate names

Cartesian coordinates

for the vertices of a birectified 7-cube, centered at the origin, edge length are all permutations of:

Trirectified 7-cube

Alternate names

Cartesian coordinates

for the vertices of a trirectified 7-cube, centered at the origin, edge length are all permutations of:

Related polytopes