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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.
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 ...
A dominating set of the queen's graph corresponds to a placement of queens such that every square on the chessboard is either attacked or occupied by a queen. On an 8 × 8 {\displaystyle 8\times 8} chessboard, five queens can dominate, and this is the minimum number possible [ 4 ] : 113–114 (four queens leave at least two squares unattacked).
A cross-check occurs from time to time in games. It is an essential tactic in winning endgames such as two queens versus one queen, or queen and pawn versus queen, where it is used to stop a series of checks from the opponent and force the exchange of queens. It is also used in some chess problems.
He is considered one of the most ingenious chess composers and one of the fathers of retrograde analysis, frequently collaborating with Luigi Ceriani in this area. He composed around 1250 problems of all varieties. He studied chess problems of a mathematical nature such as the Eight queens puzzle, the Knight's tour and Shannon's number.
From this immediately follows, that a maximum number of 2 * 8 = 16 points (i.e. queens) can be placed on the common 8 × 8 chessboard, so that no row or column will contain 3 queens. But from "row or column" it also immediately follows for me in scope of the Eight queens puzzle, that not even *two* queens may share any row or column (and also ...
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.
Edith Elina Helen (Winter-Wood) Baird (22 February 1859 – 1 February 1924) was a chess composer who in her day was the most prolific composer of chess problems in the world. [1] She published under her married name as Mrs. W. J. Baird and was sometimes referred to in the press as the "Queen of Chess". [2]