How to use group theory to solve larrys square iphone app

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There's a 2 d version of rubiks cube on apple app store. How can group theory give an algorithm to solve the iPhone app:larry's square.

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I think this is similar to a rotation puzzle game on old Nokia phones. Here's a discussion on Google groups which is pretty old.

https://groups.google.com/forum/#!topic/rec.puzzles/wPoSeQv1xYY