AVOIDING INTERSECTIONS OF DRAGON CURVES
This article proves that there are no self-intersections in the dragon curve when the unfolding angle is greater than 98.195[Formula: see text]. This is shown by constructing a boundary 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[Formula: see text].
Authors
- Zhiqi Guo (ORCID: https://orcid.org/0000-0002-7625-7828)
- Heyu Guo (ORCID: https://orcid.org/0009-0006-3667-0665)
- Reimund Albers (ORCID: https://orcid.org/0009-0009-4205-2048)
Institutions
- University of Bremen (DE)
- Staats- und Universitätsbibliothek Bremen (DE)
Publication Details
- Journal
- Fractals
- Published
- 2025-10-31
- DOI
- https://doi.org/10.1142/s0218348x2650009x
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00