English

Wiggle Island

Dynamical Systems 2022-05-24 v1

Abstract

A wiggle is an embedded curve in the plane that is the attractor of an iterated function system associated to a complex parameter z. We show the space of wiggles is disconnected -- i.e. there is a wiggle island.

Cite

@article{arxiv.2205.11442,
  title  = {Wiggle Island},
  author = {Danny Calegari},
  journal= {arXiv preprint arXiv:2205.11442},
  year   = {2022}
}

Comments

7 pages, 6 figures

R2 v1 2026-06-24T11:25:55.470Z