Explorando a matemática do jogo torre de hanói

• Ano de defesa: 2018
• Autor(a) principal: Silva, Renato José Menezes
• Tipo de documento: Dissertação
• Tipo de acesso: Acesso aberto
• Idioma: por
• Instituição de defesa: Universidade Federal Rural do Semi-Árido; Brasil; Centro de Ciências Exatas e Naturais - CCEN; UFERSA; Programa de Pós-Graduação em Matemática
• Palavras-chave em Português: Jogos; Ensino de matemática; Torre de hanói; Game; Mathematics teaching; Tower of hanoi; CIENCIAS EXATAS E DA TERRA::MATEMATICA
• Link de acesso: https://repositorio.ufersa.edu.br/handle/prefix/5340

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