Hey!

I am trying to figure out if it's possible to determine the state of a scrambled cube by observing only three sides (without seeing the remaining 3 sides)?

Let's say I can see the front, the right and the upper side of the cube. Shouldn't it be possible to calculate how the back, left and down side look like? My thought was, that it is not possible to change anything on the hidden sides without a resulting change in one of the visible 3 sides. At least I think that this is impossible. Has anyone ever thought about that or can tell me more about this topic? Or is there even an algorithm which is feasible to determine the hidden 3 sides?

Thanks!