Nice idea and very well executed!
Even with being able to turn the camera and seeing the bottom move it was hard to wrap your head around the state of your cube and figure out the solution. I ended up using trial and error pretty often instead of thinking it through, especially since the carved in hints were so direct. I'm not sure if this would solve it, but maybe the dots on the floor could show the values of your cube if you moved there? That way you could at least know if moving in a straight line will be possible or if you'll get stuck. And being able to move the camera to see ahead in the bigger levels would probably also help.