Timeline for Knot security (When to trust your life with a knot)
Current License: CC BY-SA 3.0
12 events
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| Apr 13, 2017 at 12:58 | history | edited | CommunityBot |
replaced http://mathoverflow.net/ with https://mathoverflow.net/
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| Sep 21, 2012 at 5:41 | vote | accept | b b | ||
| Sep 19, 2012 at 8:14 | comment | added | Felipe Voloch | My colleague Oscar Gonzalez (ma.utexas.edu/users/og ) studies the physical properties of knots, mostly from the DNA biology perspective and maybe he can help. | |
| Sep 19, 2012 at 8:04 | answer | added | Arnab | timeline score: 5 | |
| Sep 18, 2012 at 15:46 | comment | added | Ian Agol | This isn't what you're looking for, but has some nice figures: plus.google.com/109869432137613080522/posts/ZWtRVpyHb5F | |
| Sep 18, 2012 at 11:48 | comment | added | Anton Petrunin | A relevant question: mathoverflow.net/questions/85186/self-tightening-knot | |
| Sep 18, 2012 at 1:52 | answer | added | Joseph O'Rourke | timeline score: 18 | |
| Sep 17, 2012 at 23:39 | comment | added | user21349 | This may be helpful: allaboutknots.blogspot.com/2010/11/… The fundamental physical fact to understand about knots is that as a knot wraps around a cylinder (such as a tree branch, or another piece of rope), the maximum tension supportable by friction goes up as $\exp(\mu \theta)$, where $\mu$ is the coefficient of static or kinetic friction. So there are at least some cases where the analysis is independent of the detailed structure of the rope (cf. @Alex Becker). If it's not always scale-invariant, perhaps there are scaling laws? | |
| Sep 17, 2012 at 23:04 | comment | added | Adrien | Maybe this paper can help: Alexander Coward, Joel Hass, Topological and physical knot theory are distinct (arxiv.org/abs/1203.4019) | |
| Sep 17, 2012 at 23:01 | comment | added | Alex Becker | I could see this depending heavily on the diameter of the rope, because changing this would change the points of contact and so change the pressure on each point. It could also be that two (topologically) identical knots with identical rope have different points of contact resulting in very different strengths. | |
| Sep 17, 2012 at 22:32 | comment | added | Gerhard Paseman | I recommend some "senior thesis security". If this does not pan out, what could she do instead that is related? For example, is there work that talks about the energy involved in forming or untying a knot? Gerhard "Always Mount A Scratch Thesis" Paseman, 2012.09.17 | |
| Sep 17, 2012 at 22:18 | history | asked | b b | CC BY-SA 3.0 |