Voronoi diagrams are constructed from their sites (given in homogeneous coordinates).
> $VD = new VoronoiPolyhedron(SITES=>[[1,1,1],[1,0,1],[1,-1,1],[1,1,-1],[1,0,-1],[1,-1,-1]]); > $VD->VISUAL_VORONOI;
Actually, via lifting to the standard paraboloid, Voronoi diagrams are derived from Polytope. That's why they have VERTICES, FACETS, and such.
> print $VD->FACETS; 2 -2 -2 1 1 0 -2 1 2 2 -2 1 2 -2 2 1 1 0 2 1 2 2 2 1 1 0 0 0 > print $VD->VERTICES; 0 0 1 2 0 1 0 2 1 1/2 0 -1 0 -1 0 2 0 0 -1 2 1 -1/2 0 -1