- #1
Werg22
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Obviously I am not speaking of an already solved Rubik's cube which has gone under a series of changes, since undoing every change backwards constitutes itself in a solution. My question is whether or not all configurations are solvable per se, that is if the distribution of the colored squares was really random (without it having been derived from changing an already solved cube), do solutions always exist? Equivalently, can all possible configurations be obtained by changes on an already cube? I'm sure this is more 'computational' rather than mathematical, but I thought this would be the best place to ask.