{"id":681,"date":"2019-02-22T14:03:24","date_gmt":"2019-02-22T19:03:24","guid":{"rendered":"http:\/\/josmfs.net\/?p=681"},"modified":"2019-02-22T14:03:24","modified_gmt":"2019-02-22T19:03:24","slug":"exponential-yarn","status":"publish","type":"post","link":"https:\/\/josmfs.net\/wordpress\/2019\/02\/22\/exponential-yarn\/","title":{"rendered":"Exponential Yarn"},"content":{"rendered":"<p><img loading=\"lazy\" decoding=\"async\" class=\"alignleft size-full wp-image-679\" src=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/02\/Exponential-Yarn-Fig.jpg\" alt=\"\" width=\"200\" height=\"190\" \/>Tanya Khovanova\u2019s recent blog post \u201cThe Annoyance of Hyperbolic Surfaces\u201d about crocheting a hyperbolic surface added to the numerous examples of such activity, usually from knitting. Somehow this post caught my attention, in particular about the exponential growth of each added row and the fact that the resulting \u201csurface\u201d had constant negative curvature. I explored the exponential growth in this article and saved the mathematical exploration of the constant negative curvature for a later essay. See <a href=\"https:\/\/josmfs.net\/wordpress\/wp-content\/uploads\/2019\/02\/Exponential-Yarn-190203.pdf\">Exponential Yarn<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Tanya Khovanova\u2019s recent blog post \u201cThe Annoyance of Hyperbolic Surfaces\u201d about crocheting a hyperbolic surface added to the numerous examples of such activity, usually from knitting. Somehow this post caught my attention, in particular about the exponential growth of each added row and the fact that the resulting \u201csurface\u201d had constant negative curvature. I explored [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[2],"tags":[12,38,72],"class_list":["post-681","post","type-post","status-publish","format-standard","hentry","category-curiosities-and-questions","tag-curvature","tag-exponential-growth","tag-tanya-khovanova"],"_links":{"self":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/681","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/comments?post=681"}],"version-history":[{"count":1,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/681\/revisions"}],"predecessor-version":[{"id":682,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/posts\/681\/revisions\/682"}],"wp:attachment":[{"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/media?parent=681"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/categories?post=681"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/josmfs.net\/wordpress\/wp-json\/wp\/v2\/tags?post=681"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}