Re: The most improbable thing you\'ve ever seen?
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It expands it by a factor of 27, since there are only 27 possible rotations from any state.
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Considering you had two opposite faces solved, it seems to me there are either 4 or 6 rotations available to you (depending on whether or not the center row of the cube can freely rotate, as opposed to effectively rotating it by moving the exterior rows).
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