Exploring with GeoGebra Discovery some unexpected consequences of Thales theorem involving triangles and hexagons

• Autores: Saulo Mosquera López, Tomás Jesús Recio Muñiz
• Localización: Boletín de la Sociedad Puig Adam de profesores de matemáticas, ISSN 1135-0261, Nº. 121 (Abril), 2026, págs. 26-48
• Idioma: inglés
• Títulos paralelos:
  • Explorando con GeoGebra Discovery insospechadas consecuencias del teorema de Tales relativasa a triángulos y hexágonos
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• Resumen

  • We approach in three ways: using GeoGebra Discovery automated reasoning tools, Maple computations and in the traditional human way, the formulation of the radio between the areas and perimeters of a triangle and a hexagon built after dividing the sides of the triangle in n-parts. We describe the different failures and limitations of our computational-based approaches, as a source of inspitation for future improvements of GeoGebra Discovery, and as a relevant example of the sucess of human intervention and man/machine cooperation.