Avoiding Intersections of Dragon Curves
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866908744479145984 |
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| author | Albers, Reimund Guo, Zongyi Guo, Huaiyi |
| author_facet | Albers, Reimund Guo, Zongyi Guo, Huaiyi |
| contents | This article proves that there are no self-intersections in the dragon curve when the unfolding angle is greater than 98.195°. This is shown by constructing a hull for the dragon curve that is mapped onto itself by the generating mappings for the dragon curve. The treatment is purely geometric. The proof is supplemented by a conjecture that reduces the boundary for the unfolding angle to 96.241°. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_00727 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Avoiding Intersections of Dragon Curves Albers, Reimund Guo, Zongyi Guo, Huaiyi Metric Geometry This article proves that there are no self-intersections in the dragon curve when the unfolding angle is greater than 98.195°. This is shown by constructing a hull for the dragon curve that is mapped onto itself by the generating mappings for the dragon curve. The treatment is purely geometric. The proof is supplemented by a conjecture that reduces the boundary for the unfolding angle to 96.241°. |
| title | Avoiding Intersections of Dragon Curves |
| topic | Metric Geometry |
| url | https://arxiv.org/abs/2601.00727 |