I was thinking about taking a 2by, 3by, 4by and a 5by and sticking that lot together. Over lap the 4by 3 cubies into the 5by, the 3by 2 into the 4by and the 2by just shares 1 cubie with the 3by. You would probably have to make the cubes from scratch to get the cubies sizes right.
Start with a regular 5by and make a 2by having the same size cubies. The 4by and 3by don't move, so fake cubies can be used there.
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