The only symmetrical solution to the eight queens puzzle (up to rotation and reflection)
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. In the modern era, it is often used as an example problem for various computer programming techniques.
The eight queens puzzle is a special case of the more general n queens problem of placing n non-attacking queens on an n×n chessboard. Solutions exist for all natural numbers n with the exception of n = 2 and n = 3. Although the exact number of solutions is only known for n ≤ 27, the asymptotic growth rate of the number of solutions is approximately (0.143 n)n.
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geometry puzzles) A chess problem is a puzzle that uses chess pieces on a chess board. Examples are the knight's tour and the eightqueenspuzzle. Mechanical...
reflected gives Z. In the eightqueenspuzzle, if the queens are considered to be distinct (e.g. if they are colored with eight different colors), then...
Mutilated chessboard problem Peg solitaire Sudoku Nine dots problem Eightqueenspuzzle Knight's Tour No-three-in-line problem The fields of knot theory...
move or plan in another position. Some chess problems, like the eightqueenspuzzle or the knight's tour problem, have connections to mathematics, especially...
example of the use of backtracking is the eightqueenspuzzle, that asks for all arrangements of eight chess queens on a standard chessboard so that no queen...
backtracking search computer program similar to that used for the eightqueenspuzzle. John Horton Conway and Michael Guy first identified all 240 possible...
recreational mathematics. The most well-known problems of this kind are the eightqueenspuzzle and the knight's tour problem, which have connection to graph theory...
modeled as a constraint satisfaction problem include: Type inference Eightqueenspuzzle Map coloring problem Maximum cut problem Sudoku, crosswords, futoshiki...
Bezzel (4 February 1824 – 30 July 1871) was a German chess composer who created the eightqueenspuzzle in 1848. Biography (in German) of Max Bezzel v t e...
explored. Classic combinatorial search problems include solving the eightqueenspuzzle or evaluating moves in games with a large game tree, such as reversi...
of known puzzles making them more algorithmic, and some are new. They include: Puzzles involving chessboards, including the eightqueenspuzzle, knight's...
topological problems connected to chess, such as the knight's tour and the eightqueenspuzzle, have been known for hundreds of years. The number of legal positions...
constraint satisfaction problems are the eightqueenspuzzle, the Sudoku solving problem and many other logic puzzles, the Boolean satisfiability problem,...
dominating sets in graph theory, including domination versions of the eightqueenspuzzle. She is a professor of mathematics and statistics at the University...
stable models correspond to unsolvable problems. For instance, the eightqueenspuzzle has 92 solutions; to solve it using answer set programming, we encode...
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