Although you totally have way too few levels (understandable with time restraints), I really see the potential in this game! I love little puzzle games like this and can get stuck playing them for hours. I also appreciate how clean your menus were. Some games have wickedly messy menu systems, but yours was clear and understandable.
Couple minor suggestions: If you could somehow involve the dice aspect a bit more than just having the pictures of the cubes correspond to the faces on a dice, that could add a whole new dimension to the game! Also, I noticed you mentioned sound in the credits, but I didn't hear any. If this wasn't an issue on my end and you had no music or sound, I'd hugely suggest you utilize it for the next game jam. Music and sound bring a game to life when used well and are able to tell a story completely on their own.
Overall, I see the work that was put into this and I think it's a great starting place for a fantastic game. As we all develop as programmers, the time restraint will weigh on us less and we will be able to add more features! Great job!