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Research Article

Arts and mathematics: GeoGebra focused on isometric transformations

ORCID Icon, ORCID Icon & ORCID Icon
Received 15 Apr 2022, Accepted 04 Jun 2024, Published online: 17 Jun 2024

Figures & data

Figure 1. Possible polygons to pave a plane.

Figure 1. Possible polygons to pave a plane.

Figure 2. Rotation of a Triangle. Source –- All M.C Escher works © Cordon Art – Baarn – Holland All rights reserved. Used by permission.

Figure 2. Rotation of a Triangle. Source –- All M.C Escher works © Cordon Art – Baarn – Holland All rights reserved. Used by permission.

Figure 3. GeoGebra Label Options.

Figure 3. GeoGebra Label Options.

Figure 4. Steps to obtain the mosaic base.

Figure 4. Steps to obtain the mosaic base.

Figure 5. Colouring the first part of the mosaic base.

Figure 5. Colouring the first part of the mosaic base.

Figure 6. First part of the mosaic base.

Figure 6. First part of the mosaic base.

Figure 7. Constructing the mosaic base.

Figure 7. Constructing the mosaic base.

Figure 8. Constructing the mosaic base.

Figure 8. Constructing the mosaic base.

Figure 9. Constructing the mosaic base.

Figure 9. Constructing the mosaic base.

Figure 10. Mosaic base.

Figure 10. Mosaic base.

Figure 11. Creating the index column in the Spreadsheet Window.

Figure 11. Creating the index column in the Spreadsheet Window.

Figure 12. Copying list l4 to Spreadsheet.

Figure 12. Copying list l4 to Spreadsheet.

Figure 13. Mosaic base obtained from the spreadsheet.

Figure 13. Mosaic base obtained from the spreadsheet.

Figure 14. Changing the object colours in the spreadsheet.

Figure 14. Changing the object colours in the spreadsheet.

Figure 15. Obtaining the mosaic base using the spreadsheet.

Figure 15. Obtaining the mosaic base using the spreadsheet.

Figure 16. Move the vector origin to point B.

Figure 16. Move the vector origin to point B.

Figure 17. Paving Sketch with Translation and u vector.

Figure 17. Paving Sketch with Translation and u vector.

Figure 18. Paving Sketch with Translation and v vector.

Figure 18. Paving Sketch with Translation and v vector.

Figure 19. Paving Sketch with Translation and u and v vectors.

Figure 19. Paving Sketch with Translation and u and v vectors.

Figure 20. Paving Sketch with Translation and u and v vectors.

Figure 20. Paving Sketch with Translation and u and v vectors.

Figure 21. Other mosaics constructed in GeoGebra.

Figure 21. Other mosaics constructed in GeoGebra.