{"id":769,"date":"2014-11-12T08:48:09","date_gmt":"2014-11-12T13:48:09","guid":{"rendered":"https:\/\/jasoncantarella.com\/wordpress\/?p=769"},"modified":"2014-11-12T08:48:09","modified_gmt":"2014-11-12T13:48:09","slug":"tightest-knots-on-labtalk","status":"publish","type":"post","link":"https:\/\/jasoncantarella.com\/wordpress\/tightest-knots-on-labtalk\/","title":{"rendered":"Tightest knots on LabTalk"},"content":{"rendered":"<p>The Journal of Physics runs an occasional series of articles explaining particularly interesting papers which appeared in various series of the Journal. I liked <a href=\"http:\/\/iopscience.iop.org\/1751-8121\/labtalk-article\/59206\">today&#8217;s post<\/a> especially because it deals with problems that I&#8217;ve spent a lot of time on&#8211; the shape of the tightest overhand (or trefoil) knot, and the shape of the tight &#8216;simple clasp&#8217; formed by two ropes.<\/p>\n<p><a href=\"https:\/\/jasoncantarella.com\/wordpress\/wp-content\/uploads\/2014\/11\/figure1.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-medium wp-image-770\" src=\"https:\/\/jasoncantarella.com\/wordpress\/wp-content\/uploads\/2014\/11\/figure1-300x170.jpg\" alt=\"figure1\" width=\"300\" height=\"170\" srcset=\"https:\/\/jasoncantarella.com\/wordpress\/wp-content\/uploads\/2014\/11\/figure1-300x170.jpg 300w, https:\/\/jasoncantarella.com\/wordpress\/wp-content\/uploads\/2014\/11\/figure1-150x85.jpg 150w, https:\/\/jasoncantarella.com\/wordpress\/wp-content\/uploads\/2014\/11\/figure1.jpg 540w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>The picture at left is from an amazing series of very high-resolution simulations performed by Piotr Pieranski and Sylwek Przybyl. They reveal some of the amazing tiny and intricate details of the structure.<\/p>\n<p>Maybe someday we&#8217;ll understand the whole picture and have a proof. In the meantime, it&#8217;s still kind of amazing to think that nobody really knows the shape of a tight knot.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The Journal of Physics runs an occasional series of articles explaining particularly interesting papers which appeared in various series of the Journal. I liked today&#8217;s post especially because it deals with problems that I&#8217;ve spent a lot of time on&#8211; the shape of the tightest overhand (or trefoil) knot, and the shape of the tight [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-769","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/jasoncantarella.com\/wordpress\/wp-json\/wp\/v2\/posts\/769","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/jasoncantarella.com\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/jasoncantarella.com\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/jasoncantarella.com\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/jasoncantarella.com\/wordpress\/wp-json\/wp\/v2\/comments?post=769"}],"version-history":[{"count":1,"href":"https:\/\/jasoncantarella.com\/wordpress\/wp-json\/wp\/v2\/posts\/769\/revisions"}],"predecessor-version":[{"id":771,"href":"https:\/\/jasoncantarella.com\/wordpress\/wp-json\/wp\/v2\/posts\/769\/revisions\/771"}],"wp:attachment":[{"href":"https:\/\/jasoncantarella.com\/wordpress\/wp-json\/wp\/v2\/media?parent=769"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/jasoncantarella.com\/wordpress\/wp-json\/wp\/v2\/categories?post=769"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/jasoncantarella.com\/wordpress\/wp-json\/wp\/v2\/tags?post=769"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}