A very visually impressive game, and it's not a concept I've seen before either. It reminds me of those games with loads of fragments floating in the air, and you have to rotate it all around so the fragments join up and become a picture.
The only suggestion I have is to make the controls easier. Because right now, although it looks so cool the way it spins on multiple axis with a single keypress, it makes it very difficult to actually get the result I want, which is a little frustrating when there's a time limit. I can see which side I'm supposed to be rotating to, I just can't quite get to it.
Overall, nice work, I'm excited to see where you take this project (perhaps multiple dice, all rotating at different speeds and you have to get them all to the correct face? I can imagine this needing to not have a timer).