Loved it, one of my favorites from the jam! Really simple and tight with a good presentation. Great look and feel! In a similar interpretation and use of the dice to my submission, but with a different twist.
A quick design question, did you consider setting the switching of the sides when moving to be set (i.e. like real dice, rolling to the next face) instead of random? That could add a "spatial" element to the puzzles as well, but could make it kinda difficult. Not sure if I explained myself properly.
Anyways, loved it, 5 all around!