On the geometry and topology of Da Vinci domes

Authors

  • Nicolé Geyssel Universidad Técnica Federico Santa María
  • María José Moreno PUC
  • Andrés Navas Universidad de Santiago de Chile
  • Antonio Cafure Universidad Nacional de General Sarmiento. Instituto del Desarrollo Humano

DOI:

https://doi.org/10.33044/revem.44899

Keywords:

Leonardo Da Vinci, Bridge, Dome, Geometry, Topology

Abstract

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

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References

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Published

2024-04-30

Issue

Section

Artículos de Matemática

How to Cite

[1]
Geyssel, N. et al. 2024. On the geometry and topology of Da Vinci domes. Revista de Educación Matemática. 39, 1 (Apr. 2024), 15–28. DOI:https://doi.org/10.33044/revem.44899.