Delaunay polytope 8 vertices
 0 0 0 0 1 0 0
 1 1 1 1 1 -1 -3
 0 0 0 0 0 1 0
 0 0 0 1 0 0 0
 0 0 1 0 0 0 0
 0 0 0 0 0 0 1
 0 1 0 0 0 0 0
 1 0 0 0 0 0 0