On the geometry and topology of Da Vinci domes

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 topol...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Geyssel, Nicolé, Moreno, María José, Navas, Andrés
Formato: Artículo revista
Lenguaje:Inglés
Publicado: Unión Matemática Argentina - Facultad de Matemática, Astronomía, Física y Computación 2024
Materias:
Acceso en línea:https://revistas.unc.edu.ar/index.php/REM/article/view/44901
Aporte de:
Descripción
Sumario: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.