Explorando a matemática do jogo torre de hanói

Data
2018-02-16
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Universidade Federal Rural do Semi-Árido

Resumo

In this work we present the Tower of Hanoi game, we explore its historical aspect and also its mathematical potential. We started by developing a good strategy to sell the Tower respecting is rules, this strategy will serve as a basis for future demonstrations. Through observations we notice some patterns about the minimum number of movements to win the game and each piece, we formulate a theory and in sequence are present some demonstrations. Going deeper, we notice a close relationship between some demonstrations. Going deeper, we notice a close relationship between the game and the binary number system, which gives us incredible results, such as determining which exact piece should be moved in a certain movement without having to perform the previous ones. Another application of binary numbers is to determine the exact position of each part in a certain movement


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Citação com autor incluído no texto: Silva (2018) Citação com autor não incluído no texto: (SILVA, 2018)