Ads
related to: Infinite chessallwebgames.com has been visited by 10K+ users in the past month
apposee.com has been visited by 100K+ users in the past month
Search results
Results from the Go Local Guru Content Network
For infinite chess, it has been found that the mate-in-n problem is decidable; that is, given a natural number n and a player to move and the positions (such as on ) of a finite number of chess pieces that are uniformly mobile and with constant and linear freedom, there is an algorithm that will answer if there is a forced checkmate in at most n moves. [11]
Hamkins and Evans investigated transfinite game values in infinite chess, proving that every countable ordinal arises as the game value of a position in infinite three-dimensional chess. [28] Hamkins and Davide Leonessi proved that every countable ordinal arises as a game value in infinite draughts. [29] They also proved that infinite Hex is a ...
When applied to chess, Zermelo's theorem states "either White can force a win, or Black can force a win, or both sides can force at least a draw". [2][3] Zermelo's algorithm is a cornerstone algorithm in game-theory; however, it can also be applied in areas outside of finite games. Apart from chess, Zermelo's theorem is applied across all areas ...
Infinite chess: Numerous players and mathematicians have conceived of chess variations played on an unbounded chessboard. [85] In one example, when using "Converse's rules," the pieces and their relative starting positions are unchanged—only the board is infinitely large. [90] Masonic Chess: Every other board rank is indented. Same as chess ...
Combinatorial game theory is a branch of mathematics and theoretical computer science that typically studies sequential games with perfect information. Study has been largely confined to two-player games that have a position that the players take turns changing in defined ways or moves to achieve a defined winning condition.
It is also related to more generally solving chess-like games (i.e. combinatorial games of perfect information) such as Capablanca chess and infinite chess. In a weaker sense, solving chess may refer to proving which one of the three possible outcomes (White wins; Black wins; draw) is the result of two perfect players, without necessarily ...
Ads
related to: Infinite chessallwebgames.com has been visited by 10K+ users in the past month
apposee.com has been visited by 100K+ users in the past month