Really creative idea and great execution of the idea. The only thing I don't actively like is the puzzles involving actual dices in the later part. It fits the theme, but it doesn't really connect with any other part of the game, and this kind of "cube rolling" puzzle is not that creative, even kinda dull. Maybe you had some idea to make it work with the other mechanics in some unexpected ways, just didn't have time to implement? Great game nontheless, and I'm excited to see the expanded version of this.
Personally I really liked the dice rolling, I felt that it tied in well because all the previous levels taught that rolling around a corner (e.g. left, up, right) changed the direction the cube was facing. I used that technique to solve the dice rolling problems and get the face i wanted. Perhaps if you teach that technique more explicitly as a tutorial and then connect it to the way you manipulate the dice, the mechanic will be more clear to players?
Regardless, great level and puzzle design :)