So today we made a print-in-place version using OpenSCAD, with the hopes of making a customizable version tomorrow. We put stickers on half of the faces; as you move the cube around by the hinges you can change from a stars-outside configuration to a stars-inside configuration.
STL file: http://www.geekhaus.com/makerhome/day145_fidgetcube_yellow.stl
Thingiverse link: http://www.thingiverse.com/thing:230139
Settings: MakerWare .2mm/standard. We did a LOT of testing to get the hinge clearances and the distances between cubes to work. In tomorrow's customizable version you'll be able to choose those tolerances according to your machine and filament.
Technical notes: Wait until tomorrow and we will post OpenSCAD code and some more detailed notes.
UPDATE: Here are the Customizer settings that will make something equivalent to this model:
snub = no
cube_height = 20
stacking_clearance = .27
hinge_radius = 3
hinge_clearance = .45