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Big Cube Reduction

44 with paired 1c centers

4x4x4x4 with centers paired

Just like 3D reduction of big cubes, higher dimensional reduction works by pairing up groups of pieces with more and more colors until the nd is reduced into an (n-1)d. Pairing up pieces is done in a very similar way to the 3D method; If you can solve 33, 43, and 34, then you can solve 44.