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Basic Ideas to solve 2x2 rubik's cube

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I want to write down basic ideas around solving this basic 2x2 rubik's cube for my future reference or anyone else wanting to learn about it. First some notations to denote the type of twist so that we have a vocabulary to talk about them. Imagine one side of cube facing you, then you can rotate it by clockwise or anti clockwise. Smallest meaningful twist being a 90 degree single twist. Now lets denote the six faces, imagine a cube facing you : F - front side facing you B - back side L - side on your left R - side on your right T - top side D - down side Now when F is written , it means a single smallest clockwise turn of face F F' (read as F dash or F prime), here prime denotes anti clockwise turn Now we can build a sequence of turns , say FFF' - which means two turns clockwise of F then one anti clockwise of F Now let's get to the interesting part. The key to solving this or any other cube is being able to find a sequence of operations which r