Work

Avoiding Intersections of Dragon Curves

Year: 2025

Type: article

Abstract: 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].

Source: Fractals

DOI: 10.1142/s0218348x2650009x

Authors: REIMUND ALBERS, ZONGYI GUO, HUAIYI GUO

Institution: University of Bremen

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Funder: National Natural Science Foundation of China

Awards: G2070401662, G2646845492