qwr
Member
can it be proved just from EO?Actually, it´s (4^6)/2 = 2048. One quarter turn rotates the center piece by 90 degrees, but also makes corners and edges unsolvable while keeping that center piece rotated - so only 1/2 of combinations which can be reached by executing quarter turns are solvable.
What you are describing is a supercube, if you are only interested in centers, click here.