On the geometry and topology of Da Vinci domes.

• Geyssel, Nicolé ^[2] ; Moreno, María José ^[3] ; Navas, Andrés ^[1]
  1. [1] Universidad de Santiago de Chile

     Universidad de Santiago de Chile

     Santiago, Chile

     
  2. [2] Universidad Técnica Federico Santa María
  3. [3] PUC

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• Localización: Revista de Educación Matemática (RevEM), ISSN-e 1852-2890, ISSN 0326-8780, Vol. 39, Nº. 1, 2024, págs. 61-74
• Idioma: inglés
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• Resumen

  • We study the famous Leonardo Da Vinci’s domes, as well as the variations pursued by Rinus Roelofs, from a mathematical viewpoint. In particular, we consider the problem of closing the dome in order to produce a spherical structure. We explain why this problem is related to subtle geometric and topological considerations. This is in contrast with the 1-dimensional analog structure, namely Da Vinci’s bridge, that can be easily closed up to make a circular shape.