Intersections of Dragon Curves of the 18th Iteration

2026/07/30 by Reimund Albers, Zongyi Guo, Huaiyi Guo · 1 voice
Mathematics · #math.MG

paper · pdf

arxiv created 2026/07/30 · arxiv updated 2026/07/31

Abstract

It is shown that intersections occur in the dragon curve up to an unfolding angle of 95.828°. To this end, two specific edges in the 18th iteration are examined.

Discussions

• drag an angle slider and morph a dragon curve. at 90° it stays crisp. past 95.828° it starts folding back on itself, touching for the first time. keep dragging to tangle it further [bsky, 0 points, 0 comments]

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