A New Solution for 7x7 Hex Game

نویسندگان

  • Jing Yang
  • Mirek Pawlak
  • Simon Liao
چکیده

Abstract. In this paper, we applied the decomposition method to obtain a new winning strategy for 7x7 Hex game. We also find that some positions on the 7x7 Hex board, which are called “trivial positions”, were never occupied by Black among all of strategies in the new solution. In other words, Black can still win the game by using the strategies described in this paper even if White already has pieces on those positions. Considering the symmetry properties of a Hex board for both players, we derived 14 losing positions on a 7x7 Hex board for Black’s first move.

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تاریخ انتشار 2002