I've seen it done better with both Bombastic and Voodoo dice. Your game is rather simple compared to the game mechanics they used.
I find it counter intuitive that I'm matching the bottom of the dice with the floor. This isn't really your fault as I played the games above. It is a problem that the dice is see through as it can be difficult to tell what face it is on. The guide helps but it should be complementing the real dice, and not be the main way to make decisions. The guide should also show the bottom face as that's the face not viewable normally. The guide doesn't even make sense when moving vertically.
It's very easy to solve the puzzles but I'm limited by the speed of the dice. Normally puzzle games can figure out that the level is finished without asking the player to move another 3 places forward.
There's no point in having a level select screen if you can't come back to the game later. Having them all unlocked at the start won't ruin the game but would allow players to skip to the harder levels. I find repeating the same puzzle for 10 levels just to get a single obstacle not worth it.