Circular Isoptics in Flatland
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909563767226368 |
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| author | Thomas, Alexander |
| author_facet | Thomas, Alexander |
| contents | We explore convex shapes $S$ in the Euclidean plane which have the following property: there is a circle $C$ such that the angle between the two tangents from any point of $C$ to $S$ is constant equal to $α$. A dynamical formulation allows to analyze the existence of such shapes. Interestingly, the existence of non-circular shapes depends in a non-trivial way on the angle $α$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_02907 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Circular Isoptics in Flatland Thomas, Alexander Metric Geometry We explore convex shapes $S$ in the Euclidean plane which have the following property: there is a circle $C$ such that the angle between the two tangents from any point of $C$ to $S$ is constant equal to $α$. A dynamical formulation allows to analyze the existence of such shapes. Interestingly, the existence of non-circular shapes depends in a non-trivial way on the angle $α$. |
| title | Circular Isoptics in Flatland |
| topic | Metric Geometry |
| url | https://arxiv.org/abs/2504.02907 |