The Rubik’s cube and GeoGebra: a visual exploration of permutation groups
DOI:
https://doi.org/10.23925/2237-9657.2024.v13i3p027-044Keywords:
Rubik's cube, Group Theory, Permutation Groups, GeoGebraAbstract
This article aims to use the construction of the Rubik’s Cube in GeoGebra as a primary tool for visualization and manipulation in the teaching of permutation groups in Abstract Algebra. We bring a brief discussion about the concept of group, aspects of the Rubik's cube, the Rubik’s group as a group of permutations and possibilities for its exploration in GeoGebra. Based on this study, we recognize the potential to delve into permutation groups in Abstract Algebra through a visual interface that associates their properties with a tangible and manipulable object. Additionally, there is the potential for simulating their movements using Dynamic Geometry software, such as GeoGebra.
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