Intersections of Dragon Curves of the 18th Iteration
It is shown that intersections occur in the dragon curve up to an unfolding angle of 95.828{\deg}. To this end, two specific edges in the 18th iteration are examined.
math.MG↗
arXiv subjects
Huaiyi Guo
Publications and source records attributed to Huaiyi Guo.
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°. 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°.
math.MG↗