I think this is an amazing idea! I only got to level 14 because I wanna try some other games in these last few hours, but I will definitely be going back to it!
The controls were a bit hard to get used to and figure out (took me a bit to know how to teleport boxes between dimensions). I only got to see the 3D levels, didn't get to 4D, but I did notice the music change and add a bit more "depth" to it when I got to the first 3D level so that was neat! Still, it fealt like a bit of a repetitive music, maybe the track is a bit too short for my liking (or perhaps I'm just very slow at figuring out the puzzles haha).
Very good job here! I really enjoyed this!