O jogo desmata-mata e os números racionais diádicos

Abstract

In this work We present the game combinatorial desmata-mata (Hackenbush in English), which consists of a graph with blue and red edges, played by two players) and their relationship to numbers (from natural to dyadic rational), and the sum makes the set of equivalence classes of all games an abelian group. We also describe how is the construction of these games in a formal way and focus more specifically to show a two-way relationship between a special class of these games and the set of rational dyadic numbers. We’ll talk also about the possibility of using classroom games, more generally and in a particular way on the use of game theory as an auxiliary tool in the teaching of real numbers.