Mathematics and Chess: 110 Entertaining Problems and SolutionsSplendid collection of 99 puzzles, all built around the chessboard. Arithmetical and probability problems, chessboard recreations, geometrical puzzles, mathematical amusements and games, more. Many standard problems with new, interesting twists. You don’t need to be a chess player, just know the rules of the game. Solutions. |
Contents
ARITHMETIC AND PROBABILITY | 1 |
CHESSBOARD DIVERSIONS | 17 |
Replacement problem with queens | 22 |
CHESSPIECE TOURS | 50 |
of Guarinis problem | 57 |
GEOMETRIC PUZZLES | 76 |
Pieceplacement problem | 82 |
MATHEMATICAL AMUSEMENTS | 93 |
Kingcornering game | 99 |
MISCELLANEOUS PUZZLES | 112 |
Common terms and phrases
attacked Available in U.S. beetles bishop black king black squares camel's tour Captions CATALOG chess game chess pieces chess problems chessboard classic color computer program corner square denoted domino Dover Publications Dudeney Dudeney's eight-queens problem fundamental solutions Gardner geometrical given in figure graph GUSTAV STICKLEY horizontal illustrations infinite chessboard Irving Chernev jumps king's knight's circle knight's moves knight's re-entrant path knight's tour Kriegsspiel letters Loyd magic square mate Max Euwe mazes minimum number n x n board Nauka no-three-in-line problem nonattacking number of moves number of squares pawns pentaminoes Petković photographs placed poems queen re-entrant tour Rn(x rook rook polynomial Sam Loyd Scientific American selfmate shown in figure side small squares solution is shown solved SONGS square once standard chessboard starting square straight line superqueen tetramino vertical W. W. Rouse Ball white and black white knights White play white squares x-coordinate