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Abstract

Ordinary Treblecross is played by two persons who alternately place the same symbol, a cross, on a 1-by-n strip of squares with the winner being the first player to complete a row of three consecutive crosses. In his very readable book Fair Game (Comap, 1989) Richard K. Guy observes "that it's stupid to play next, or next-but-one, to a cross that's already been made: your opponent could complete three consecutive crosses immediately." Guy continues his study of the game by showing that Treblecross is equivalent to the combinatorial game Nim. Readers of Word Ways may recall the use of Nim analysis in the article "Wordnim and Grundyword" in the August 1993 issue.

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