Wiggle Island

• Published in 2022
• Added on 2026-08-13

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.

Links

• https://arxiv.org/abs/2205.11442v1
• https://arxiv.org/pdf/2205.11442v1

Other information

BibTeX entry

@article{WiggleIsland,
	key = {WiggleIsland},
	type = {article},
	title = {Wiggle Island},
	author = {Danny Calegari},
	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.},
	comment = {},
	date_added = {2026-08-13},
	date_published = {2022-08-13},
	urls = {https://arxiv.org/abs/2205.11442v1,https://arxiv.org/pdf/2205.11442v1},
	collections = {attention-grabbing-titles,geometry},
	url = {https://arxiv.org/abs/2205.11442v1 https://arxiv.org/pdf/2205.11442v1},
	year = 2022,
	urldate = {2026-08-13},
	archivePrefix = {arXiv},
	eprint = {2205.11442},
	primaryClass = {math.DS}
}