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Problem 20(The Game Of Permutation Scoring On A Square)
Let's play the game of scoring on the automorphism group of the square. We know there are 8 automorphism. Play this game a few times to get a feel for what different choices will give.
- Show there is no way for player 1 to win on the first move.
- If player 1 takes any of the flips for their first move, what should player 2 choose to win the game?
- Does player 1 have a winning strategy? What is it?
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