While the second player can usually force a draw, for small orders the first player has a winning strategy. In this regard, a computer proof that Tic-Tac-Toe played on the affine plane of order 4 is a first player win has been claimed.
Sep 23, 2020 · Abstract:The game of tic-tac-toe is well known. In particular, in its classic version it is famous for being unwinnable by either player.
Jan 20, 2022 · Abstract. The game of Tic-Tac-Toe is well known. In particular, in its classic version it is famous for neither player having a winning ...
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Aug 21, 2023 · Two players, F and S, take in turn a previous untaken vertex of X, with F going first. The one who takes all the vertices of some winning set ...
Ophelia can force a draw on every a±ne plane of order n with n ≥ 5. There is only one plane left to consider. What happens on the affine plane of order 4?
Tic-tac-toe on Affine Planes. From the book The Mathematics of Various Entertaining Subjects. Maureen T. Carroll. Maureen T. Carroll. Search for this author ...
Mar 9, 2019 · Tic-Tac-Toe on the Real Projective Plane is a trivial first-player win in three moves ... Consider a 3×3 Tic-Tac-Toe board with opposite sides ...
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Abstract. This chapter introduces a new game of tic-tac-toe that fits squarely within the body of work inspired by mathematician Leonhard Euler's findings ...
Ophelia can force a draw on every affine plane of or- der n with n > 5. There is only one plane left to consider. What happens on the affine plane of order 4?
Jan 26, 2022 · Bibliographic details on Tic-Tac-Toe on an affine plane of order 4.