{"id":1333,"date":"2013-06-25T20:46:33","date_gmt":"2013-06-26T03:46:33","guid":{"rendered":"http:\/\/theoryofeverything.org\/MyToE\/?p=1333"},"modified":"2013-06-25T20:46:33","modified_gmt":"2013-06-26T03:46:33","slug":"working-on-the-klein-quartic-curves","status":"publish","type":"post","link":"https:\/\/theoryofeverything.org\/theToE\/2013\/06\/25\/working-on-the-klein-quartic-curves\/","title":{"rendered":"Klein Quartic Curves"},"content":{"rendered":"<p>With some Mathematica source from Leon Lampret at <a href=\"http:\/\/math.stackexchange.com\/questions\/46212\/interesting-implicit-surfaces-in-mathbbr3\" title=\"stackexchange\">math.stackexchange.com<\/a>, I&#8217;ve been trying to understand the link between the bitangents of octonions and the Klein Quartic Curves.<\/p>\n<p><a href=\"http:\/\/theoryofeverything.org\/MyToE\/?attachment_id=1334\" rel=\"attachment wp-att-1334\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/MyToE\/wp-content\/uploads\/2013\/06\/KleinQuartic.png\" alt=\"KleinQuartic\" width=\"351\" height=\"337\" class=\"alignnone size-full wp-image-1334\" \/><\/a><\/p>\n<p>Which seems to be closely related to Greg Egan&#8217;s wonderful visualization from<br \/>\n<a href=\"http:\/\/www.gregegan.net\/SCIENCE\/KleinQuartic\/KleinQuartic.html\" title=\"Greg Egan\">http:\/\/www.gregegan.net\/SCIENCE\/KleinQuartic\/KleinQuartic.html<\/a><\/p>\n<p><a href=\"http:\/\/theoryofeverything.org\/MyToE\/?attachment_id=1336\" rel=\"attachment wp-att-1336\"><img decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/MyToE\/wp-content\/uploads\/2013\/06\/KleinDualInsideOut.gif\" alt=\"KleinDualInsideOut\" width=350\" class=\"alignnone size-full wp-image-1336\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>With some Mathematica source from Leon Lampret at math.stackexchange.com, I&#8217;ve been trying to understand the link between the bitangents of octonions and the Klein Quartic Curves. Which seems to be closely related to Greg Egan&#8217;s wonderful visualization from http:\/\/www.gregegan.net\/SCIENCE\/KleinQuartic\/KleinQuartic.html<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[20,16],"class_list":["post-1333","post","type-post","status-publish","format-standard","hentry","category-physics","tag-octonion","tag-physics"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/1333","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/comments?post=1333"}],"version-history":[{"count":0,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/1333\/revisions"}],"wp:attachment":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/media?parent=1333"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/categories?post=1333"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/tags?post=1333"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}