Delaunay polytope with 27 vertices
 1 0 0 0 0 0 0
 0 1 0 0 0 0 0
 0 0 1 0 0 0 0
 0 0 0 1 0 0 0
 0 0 0 0 1 0 0
 0 0 0 0 0 1 0
 0 0 0 0 0 0 1
 1 1 0 0 0 0 -1
 1 1 0 0 0 -1 0
 1 1 0 0 -1 0 0
 1 1 0 -1 0 0 0
 1 0 1 0 0 0 -1
 1 0 1 0 0 -1 0
 1 0 1 0 -1 0 0
 1 0 1 -1 0 0 0
 1 1 1 0 0 -1 -1
 1 1 1 0 -1 0 -1
 1 1 1 0 -1 -1 0
 1 1 1 -1 0 0 -1
 1 1 1 -1 0 -1 0
 1 1 1 -1 -1 0 0
 2 1 1 0 -1 -1 -1
 2 1 1 -1 0 -1 -1
 2 1 1 -1 -1 0 -1
 2 1 1 -1 -1 -1 0
 2 1 2 -1 -1 -1 -1
 2 2 1 -1 -1 -1 -1