The faces of these cubes, along with properly oriented polar rhombic triacontahedra (not shown) and polar rhombic dodecahedra (also not shown), form a space filling lattice.
This model is based on a design suggested by John Kostick of [KO Sticks](http://www.kosticks.com). Thanks John.
This model was built with [vZome](http://www/vzome.com). The vZome file is included in the download.