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The knight's tour as solved by the Turk, a chess-playing machine hoax. This particular solution is closed (circular), and can thus be completed from any point on the board. The earliest known reference to the knight's tour problem dates back to the 9th century AD.
A mathematical chess problem is a mathematical problem which is formulated using a chessboard and chess pieces. These problems belong to recreational mathematics. The most well-known problems of this kind are the eight queens puzzle and the knight's tour problem, which have connection to graph theory and combinatorics. Many famous ...
The solution used dynamic programming and uses the fact that the solution should exhibit a cyclic behavior. Other standard chess pieces than the knight are less interesting, but fairy chess pieces like the camel ((3,1)-leaper), giraffe ((4,1)-leaper) and zebra ((3,2)-leaper) lead to problems of comparable complexity.
Some chess problems, like the eight queens puzzle or the knight's tour problem, have connections to mathematics, especially to graph theory and combinatorics. Many famous mathematicians have studied such problems, including Euler, Legendre, and Gauss.
A chess problem theme in which the solution includes pawn promotions to all possible pieces (in orthodox chess, to bishop, knight, rook and queen; in fairy chess, possibly to fairy pieces). anti-Bristol The interference of one black piece by another like-moving one on the same line (if the pieces are on different lines, it is a Holzhausen).
Andernach chess is a chess variant in which a piece making a capture (except kings) changes colour. [1] For instance, if a white bishop on a2 were to capture a black knight on g8, the result would be a black bishop on g8. Non-capturing moves are played as in orthodox chess. If a pawn captures on eighth rank, it is promoted first and then ...
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Many chess problemists, [who?] including Tim Krabbé, [3] consider the problem one of the greatest ever composed. Again, it is a mate in four. Again, it is a mate in four. The key here is non-capturing and also thematic (that is, it is logically related to the rest of the solution): 1.a7! .