Convex Hulls of Dragon Curves
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912794568294400 |
|---|---|
| author | Wen, Fan |
| author_facet | Wen, Fan |
| contents | The fundamental geometry of self-similar sets becomes significantly more complex when the generating contractive maps include non-trivial rotational components. A well-known family exemplifying this complexity is that of the dragon curves in the plane. In this paper, we prove that every dragon curve has a polygonal convex hull. Moreover, we completely characterize their convex hulls. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_12434 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Convex Hulls of Dragon Curves Wen, Fan Metric Geometry The fundamental geometry of self-similar sets becomes significantly more complex when the generating contractive maps include non-trivial rotational components. A well-known family exemplifying this complexity is that of the dragon curves in the plane. In this paper, we prove that every dragon curve has a polygonal convex hull. Moreover, we completely characterize their convex hulls. |
| title | Convex Hulls of Dragon Curves |
| topic | Metric Geometry |
| url | https://arxiv.org/abs/2208.12434 |