Visualization of finite groups: The case of the Rubik's cube and supporting properties in GeoGebra
In this text, we present a discussion about the Rubik's Cube and its relationship with Group Theory, particularly permutation groups, as well as possibilities for exploring it using the GeoGebra software interface. We bring a brief discussion about the concept of group, aspects of the Rubik...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Muhammadiyah University Press
2024-10-01
|
| Series: | Journal of Research and Advances in Mathematics Education |
| Subjects: | |
| Online Access: | https://journals2.ums.ac.id/index.php/jramathedu/article/view/5516 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | In this text, we present a discussion about the Rubik's Cube and its relationship with Group Theory, particularly permutation groups, as well as possibilities for exploring it using the GeoGebra software interface. 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. These findings highlight the relevance of GeoGebra as a useful tool for visualizing and understanding permutation groups, promoting a more intuitive and accessible approach to Group Theory in the educational context. |
|---|---|
| ISSN: | 2503-3697 |