Interesting Esoterica

On sphere-filling ropes

Article by Gerlach, Henryk and von der Mosel, Heiko
  • Published in 2010
  • Added on
In the collection
What is the longest rope on the unit sphere? Intuition tells us that the answer to this packing problem depends on the rope's thickness. For a countably infinite number of prescribed thickness values we construct and classify all solution curves. The simplest ones are similar to the seamlines of a tennis ball, others exhibit a striking resemblance to Turing patterns in chemistry, or to ordered phases of long elastic rods stuffed into spherical shells.

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Other information

arxivId
1005.4609
journal
Nature
pages
15

BibTeX entry

@article{Gerlach2010,
	abstract = {What is the longest rope on the unit sphere? Intuition tells us that the answer to this packing problem depends on the rope's thickness. For a countably infinite number of prescribed thickness values we construct and classify all solution curves. The simplest ones are similar to the seamlines of a tennis ball, others exhibit a striking resemblance to Turing patterns in chemistry, or to ordered phases of long elastic rods stuffed into spherical shells.},
	archivePrefix = {arXiv},
	arxivId = {1005.4609},
	author = {Gerlach, Henryk and von der Mosel, Heiko},
	eprint = {1005.4609},
	journal = {Nature},
	month = {may},
	pages = 15,
	title = {On sphere-filling ropes},
	url = {http://arxiv.org/abs/1005.4609 http://arxiv.org/pdf/1005.4609v1},
	year = 2010,
	primaryClass = {math.GT},
	urldate = {2012-10-29},
	collections = {Easily explained}
}