2023/12/30 by Nicolé Geyssel, María José Moreno, Geyssel, Nicolé +3
Arts and Humanities · Computer Science · #Architecture and Art History Studies #Digital Image Processing Techniques #FOS: Mathematics #History and Overview (math.HO)
paper · pdf · doi:10.48550/arxiv.2401.00881
openalex publication_date 2023/12/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We study the famous Leonardo Da Vinci's domes, as well as the variations invented 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.