Looking at a picture of a Rubik's cube how can I tell if it's in one of its possible configurations (image is not fake)? By "possible configuration" I mean a configuration that can be achieved by simply rotating the cube (no dismantling). I'm aware that colors of opposite sides cannot be on the same side and I'm interested in a more general solution.
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Well, if you have physical access to the cube then you can solve it. There are algorithms that are guaranteed to solve a cube if it is solvable, and if it is not solvable you will reduce it to a state which is manifestly not solvable. – Zhen Lin Jun 06 '13 at 12:39
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This seems to be a duplicate of this question. – robjohn Jun 06 '13 at 13:01