Four Compounds of Cubes

Here are stl files of compounds of 3, 4, 5, and 6 cubes and the openSCAD files that produced them.

George Hart's Virtual Polyhedra site has a section on compounds of cubes. Its a good place to start a study of compound polyhedra. These four compounds and others are described. See:

http://www.georgehart.com/virtual-polyhedra/compound-cubes-info.html

The cube has 13 rotation axes - three four fold axes, four three fold axes, and 6 two fold axes. Three of the compounds use these axes f