In eight-dimensional geometry, a rectified 8-orthoplex is a convex uniform 8-polytope, being a rectification of the regular 8-orthoplex.
These represent the root vectors of the simple Lie group D8.
Cartesian coordinates for the vertices of a rectified 8-orthoplex, centered at the origin, edge length
are all permutations of: Cartesian coordinates for the vertices of a birectified 8-orthoplex, centered at the origin, edge length
Cartesian coordinates for the vertices of a trirectified 8-orthoplex, centered at the origin, edge length