A while back, I 3d printed some Puzzle Cubes posted by user j1m1sh on Thingiverse (link here). I also printed his cage base for displaying the puzzle. The base worked fine, but I always found it a bit hard to handle and use as it wasn't holding the pieces properly. Eventually, I decided to make a box to solve this issue using the original 4x4 base as a reference. I am posting the final result here in case others find it useful.
!!! Do note that I designed the lid to fit the box when sanded, ensuring the “TetraCube Puzzle Lid v3” has zero tolerance. If you do not plan on sanding then print the “TetraCube Puzzle Lid v3 (when not sanding)” version of the lid !!!
The author remixed this model.