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arXiv · 1606.04779

Group Actions on Winning Games of Super Tic-Tac-Toe

Whitney George·Janine E. Janoski
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Abstract

Consider a $n \times n$ tic-tac-toe board. In each field of the board, draw a smaller $n\times n$ tic-tac-toe board. Now let super tic-tac-toe (STTT) be a game where each player's move dictates which field on the larger board a player must make their next move. We will play an impartial game of STTT where each player uses X. We define a set of actions on a game board which gives rise to a group-action on the game that creates equivalent games. We will discuss how the structure of this group-action forms a Dihedral group.

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Whitney George, Janine E. Janoski. 2016-06-14. Group Actions on Winning Games of Super Tic-Tac-Toe. https://arxiv.org/abs/1606.04779

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