On the geometry and topology of Da Vinci domes
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| Acceso en línea: | |
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| _version_ | 1866910285360529408 |
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| author | Geyssel, Nicolé Moreno, María José Navas, Andrés |
| author_facet | Geyssel, Nicolé Moreno, María José Navas, Andrés |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_00881 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the geometry and topology of Da Vinci domes Geyssel, Nicolé Moreno, María José Navas, Andrés History and Overview 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. |
| title | On the geometry and topology of Da Vinci domes |
| topic | History and Overview |
| url | https://arxiv.org/abs/2401.00881 |