As I suspected, the center square of each face of a rubik's cube can rotate, leaving an identically colored cube. So even when a cube appears solved, it may not be in the original state. Therefore, a cube with an image painted on each (or even just one) side is more difficult than the regular cube.
What center square rotations are possible? Are all 46 rotations possible, or are they linked? What are the quickest algorithms from one center square rotation to another, leaving other squares untouched? What states are the furthest distance apart?
1 comment :
Excellent question. However if you are simply interested in solving the cube without worrying about the orientation of the centre pieces then checkout Cube Obsession
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