v2 of my cube features easier-to-print joints, more durable construction, and a design that should be more compatible with a range of print settings. Revision
...Show more details below. I highly recommend this over the previous version unless you really prefer the rounded edges of v1.
A small test file has been included so that you can try out your print settings before printing the entire model. You can try rotating it to print in all 3 of the required joint orientations if you wish.
Prints at 0.2 mm layer height and takes about 3 hours. Requires about 11 m (32 g in PLA) of filament. Please let me know your results!