By Gardner M.
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Karl Fabel sent me a letter he had received from hlartin Kiihl, of Hanover, Germany, showing that Kiihl, too, had independently discovered the hexagon (about 1940) but had not published it. A feature story by Karl Abraham on Clifford \T7. hdams' discovery of the pattern appeared in the Philadelphia Evening Rulletirl, July 19, 1963, page 18; a follow-up story giving the solution (which readers had been asked to find) appeared in the July 30 issue. Answers T h e combinatorial questio~lsare answered as follows: ~g Four socks guarantee a n ~ a t c h i ~pair.
New York: Academic Press, 1970. Chapter 3. Four Unusual Board Games DURINGthe 1960's there was a remarkable upsurge of interest in mathematical 1,oard garnes. Today more people than ever before are playing the traditional games such as chess and experimenting with the new games that keep turning up in the stores. More mathematicians are analyzing the strategies of such games and more computers are being programed to play them. In this chapter we examine four excellent but little-known board games, two new and two old.
The strategy applies to rectangular fields of any size or shape. Since knowledge of the strategy destroys all interest in actual play, I urge you to play the game and see if you can match Berlekamp's brilliant insight before checking the answer section. One of the best of many medieval board games is a game that seems to have been first played in Scandinavian countries as early as the fourth and fifth centuries, when it was called ta8. The Norsemen introduced the game to Britain, where it was the only board game played by the early Saxons until it begail to be replaced by chess in the eleventh and twelfth centuries.
Sixth Book of SCI American by Gardner M.
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