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arXiv · 2401.00881

On the geometry and topology of Da Vinci domes

Nicolé Geyssel·María José Moreno·Andrés Navas
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Abstract

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.

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Nicolé Geyssel, María José Moreno, Andrés Navas. 2023-12-30. On the geometry and topology of Da Vinci domes. https://arxiv.org/abs/2401.00881

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