I've spent the last hour or two just staring at your picture and messing about it cad. But I stil can't get anything out of it.
The problem with your idea and puzzles in general where the same piece will serve as diferent parts depending on where it is in the puzzle is that if you combine all pieces it is meant to serv as you end up with a part that has no mech left because the mecanism for place A is never the same as B. Which means that when you turn the puzzle with all parts in A-mode the pieces has to let go of the B-mech and vice versa. So if the part ain't conected to neither A or B it simply has nothing that keeps it in place. So the puzzle can't hold it self toghether.
Let me make an example for your idea.
Take the top layer edge on the middle layer of 3x3x5 A, turn this layer 180 degrese and the same part is now in the place were you have the 3x3 corner(the part under the 3x3x5 corner) of 3x3x5 B.
The picture below shows both of these parts rotated in the way they will sit in your puzzle. I tried to intersect these but my cad didn't allow me to, so use your imagination for this one. What you will end up with is a part which has basacly no mechanism atatched to it at all. You can put in the parts that was exluded (mostly the mechanism). But in order for the part to rotate in both ways it can't be atatched to the mechanism.
I allso tried to design this puzzle in a much smaller state, 2x2x3. But I still can't get around the problem with parts having 2 difernt mechanisms.
Did I make any sence at all?
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