PUZZLE GAMES.

"He that is beaten may be said

To lie in honour's truckle bed."

HUDIBRAS.

It may be said generally that a game is a contest of skill for two or

more persons, into which we enter either for amusement or to win a

prize. A puzzle is something to be done or solved by the individual. For

example, if it were possible for us so to master the complexities of the

game of chess that we could be assured of always winning with the first

or second move, as the case might be, or of always drawing, then it

would cease to be a game and would become a puzzle. Of course among the

young and uninformed, when the correct winning play is not understood, a

puzzle may well make a very good game. Thus there is no doubt children

will continue to play "Noughts and Crosses," though I have shown (No.

109, "_Canterbury Puzzles_") that between two players who both

thoroughly understand the play, every game should be drawn. Neither

player could ever win except through the blundering of his opponent. But

I am writing from the point of view of the student of these things.

The examples that I give in this class are apparently games, but, since

I show in every case how one player may win if he only play correctly,

they are in reality puzzles. Their interest, therefore, lies in

attempting to discover the leading method of play.

Amusements in Mathematics · 第 457 / 970 题