# On sphere-filling ropes

- Published in 2010
- Added on

In the collections

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.

## Links

## Other information

- key
- Gerlach2010
- type
- article
- date_added
- 2012-10-29
- date_published
- 2010-05-01
- arxivId
- 1005.4609
- journal
- Nature
- pages
- 15

### BibTeX entry

@article{Gerlach2010, key = {Gerlach2010}, type = {article}, title = {On sphere-filling ropes}, author = {Gerlach, Henryk and von der Mosel, Heiko}, 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.}, comment = {}, date_added = {2012-10-29}, date_published = {2010-05-01}, urls = {http://arxiv.org/abs/1005.4609,http://arxiv.org/pdf/1005.4609v1}, collections = {Easily explained,Geometry,Fun maths facts}, archivePrefix = {arXiv}, arxivId = {1005.4609}, eprint = {1005.4609}, journal = {Nature}, month = {may}, pages = 15, url = {http://arxiv.org/abs/1005.4609 http://arxiv.org/pdf/1005.4609v1}, year = 2010, primaryClass = {math.GT}, urldate = {2012-10-29} }