Uma abordagem da teoria combinatória de grupos aplicada no cubo de rubik 3 × 3 × 3
This work aims to show how Group Theory can be used to help understanding and describing the structure of the Rubik’s Cube as a mathematical object. Therefore, we will make a detailed study of the symmetries of this puzzle, and we will show that it can be solved purely algebraically. In addition,...
| Autor principal: | LEITE, Rafael Weslley Barbosa |
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| Grau: | Trabalho de Conclusão de Curso - Graduação |
| Publicado em: |
2023
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| Assuntos: | |
| Acesso em linha: |
https://bdm.ufpa.br:8443/jspui/handle/prefix/6171 |
| Resumo: |
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This work aims to show how Group Theory can be used to help understanding and describing
the structure of the Rubik’s Cube as a mathematical object. Therefore, we will make a
detailed study of the symmetries of this puzzle, and we will show that it can be solved
purely algebraically. In addition, we will discuss Rubik’s group, some of its subgroups,
possible or impossible resolution associated with illegal movements. Finally, we will present
computational methods to assist in the analysis of its properties. |