There’re the first experiments with Qhull for applied research and studies. Tools involved Qhull, Maya/Pymel Python Module and my new toolset Qhull<->Maya PyMEL-GUI. Rendering with 3Delight for Maya.

3D Voronoi cell grid experiment.

Screenshots from several 3D Voronoi cell grid examples.
have you tried with the Weaire-Phelan structure?