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Infinite chess is a variation of chess played on an unbounded board with different rules and pieces. Learn about its history, background, decidability, and related links.
Joel David Hamkins is an American mathematician and philosopher who works on logic, set theory, computability theory and group theory. He is the John Cardinal O'Hara Professor of Logic at the University of Notre Dame and a top-rated user on MathOverflow.
Contrary to the popular belief, chess is not a finite game without at least one of the fifty move rule or threefold repetition rule. Strictly speaking, chess is an infinite game therefore backward induction does not provide the minmax theorem in this game. [6] Backward induction is a process of reasoning backward in time.
A comprehensive list of chess variants derived from chess by changing one or more of the rules of the game. Double chess is one of the variants that has two full armies per side on a 12×16 board, the first to mate an enemy king wins.
Solving chess means finding an optimal strategy for the game or proving its outcome. No complete solution is known, but some endgames and variants have been solved, and estimates of game-tree complexity exist.
Chebyshev distance is a metric that measures the greatest difference between two points along any coordinate dimension. It is also known as chessboard distance, L∞ metric, or maximum metric, and has applications in logistics, CAM, and geometry.
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