Amusements in Mathematics eBook

Henry Dudeney
This eBook from the Gutenberg Project consists of approximately 597 pages of information about Amusements in Mathematics.

Amusements in Mathematics eBook

Henry Dudeney
This eBook from the Gutenberg Project consists of approximately 597 pages of information about Amusements in Mathematics.

During a heavy gale a chimney-pot was hurled through the air, and crashed upon the pavement just in front of a pedestrian.  He quite calmly said, “I have no use for it:  I do not smoke.”  Some readers, when they happen to see a puzzle represented on a chessboard with chess pieces, are apt to make the equally inconsequent remark, “I have no use for it:  I do not play chess.”  This is largely a result of the common, but erroneous, notion that the ordinary chess puzzle with which we are familiar in the press (dignified, for some reason, with the name “problem”) has a vital connection with the game of chess itself.  But there is no condition in the game that you shall checkmate your opponent in two moves, in three moves, or in four moves, while the majority of the positions given in these puzzles are such that one player would have so great a superiority in pieces that the other would have resigned before the situations were reached.  And the solving of them helps you but little, and that quite indirectly, in playing the game, it being well known that, as a rule, the best “chess problemists” are indifferent players, and vice versa.  Occasionally a man will be found strong on both subjects, but he is the exception to the rule.

Yet the simple chequered board and the characteristic moves of the pieces lend themselves in a very remarkable manner to the devising of the most entertaining puzzles.  There is room for such infinite variety that the true puzzle lover cannot afford to neglect them.  It was with a view to securing the interest of readers who are frightened off by the mere presentation of a chessboard that so many puzzles of this class were originally published by me in various fanciful dresses.  Some of these posers I still retain in their disguised form; others I have translated into terms of the chessboard.  In the majority of cases the reader will not need any knowledge whatever of chess, but I have thought it best to assume throughout that he is acquainted with the terminology, the moves, and the notation of the game.

I first deal with a few questions affecting the chessboard itself; then with certain statical puzzles relating to the Rook, the Bishop, the Queen, and the Knight in turn; then dynamical puzzles with the pieces in the same order; and, finally, with some miscellaneous puzzles on the chessboard.  It is hoped that the formulae and tables given at the end of the statical puzzles will be of interest, as they are, for the most part, published for the first time.

THE CHESSBOARD.

“Good company’s a chessboard.” 
BYRON’S Don Juan, xiii. 89.

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Amusements in Mathematics from Project Gutenberg. Public domain.