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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 ...
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The eight queens puzzle is the problem of placing eight chess queens on an 8×8 chessboard so that no two queens threaten each other; thus, a solution requires that no two queens share the same row, column, or diagonal. There are 92 solutions. The problem was first posed in the mid-19th century.
Here’s another problem that’s very easy to write, but hard to solve. All you need to recall is the definition of rational numbers. Rational numbers can be written in the form p/q, where p and ...
A chess problem, also called a chess composition, is a puzzle created by the composer using chess pieces on a chessboard, which presents the solver with a particular task. For instance, a position may be given with the instruction that White is to move first, and checkmate Black in two moves against any possible defence.
Chess puzzles can also be regular positions from actual games, usually meant as tactical training positions. They can range from a simple "Mate in one" combination to a complex attack on the enemy king. Solving tactical chess puzzles is a very common chess teaching technique. They are helpful in pattern recognition.
The mutilated chessboard Unsuccessful solution to the mutilated chessboard problem: as well as the two corners, two center squares remain uncovered. The mutilated chessboard problem is a tiling puzzle posed by Max Black in 1946 that asks: Suppose a standard 8×8 chessboard (or checkerboard) has two diagonally opposite corners removed, leaving ...
The 15 Puzzle (ISBN 1-890980-15-3): by Jerry Slocum and Dic Sonneveld; Sam Loyd and his Chess Problems by Alain C. White [11] Sam Loyd: His Story and Best Problems, by Andrew Soltis, Chess Digest, 1995, ISBN 0-87568-267-7; Index of Sam Loyd Math Puzzles, by Don Knuth