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I've been experimenting with using Y-permutations to solve the 2x2 cube as described here. I ended up with the cube solved but for a single face where the opposite corners were swapped and disoriented. I managed to solve the cube, but I wonder if there is a shorter algorithm to accomplish this task.

MathAdam
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  • With one set-up move you can also try the T permutation to swap corners, and afterwards just rotate the corners. – dtldarek May 15 '17 at 08:57

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If you rotate the face one quarter-turn, you will have a 3-cycle to solve. That may be easier.

ADDED IN EDIT

Ouch! not a 3-cycle but a product of two 2-cycles, but still an even permutation.

Angina Seng
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