ABSTRACT
This chapter provides information on Mathematical Solitaires & Games. It explains how to play compound games with counters. The chapter includes topics such as games with one pile of counters, Nim games, disjunctive compound games, Kayles games, conjunctive compound games, selective compound games, restricted selective compound games, and last player losing games. Kayles is a game played with rows of counters. The rule is that each player in turn takes either one counter or two adjacent counters, and the player taking the last counter wins. In “Duplicate Kayles” the rules are similar, except that it is now any pair or triplet of adjacent counters which can be removed. There are other ways of compounding games, besides the disjunctive method. One obvious possibility is to rule that a player must make a move in every one of the component games; if he cannot do so, he loses, i.e., the first player to finish any game wins.
