Convex Hulls of Dragon Curves
Metric Geometry
2026-01-01 v2
Abstract
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.
Cite
@article{arxiv.2208.12434,
title = {Convex Hulls of Dragon Curves},
author = {Fan Wen},
journal= {arXiv preprint arXiv:2208.12434},
year = {2026}
}