{"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":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.10 - aioseo.com -->\n\t<meta name=\"description\" content=\"With some Mathematica source from Leon Lampret at math.stackexchange.com, I&#039;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&#039;s wonderful visualization from http:\/\/www.gregegan.net\/SCIENCE\/KleinQuartic\/KleinQuartic.html\" \/>\n\t<meta name=\"robots\" content=\"max-image-preview:large\" \/>\n\t<meta name=\"author\" content=\"jgmoxness\"\/>\n\t<link rel=\"canonical\" href=\"https:\/\/theoryofeverything.org\/theToE\/2013\/06\/25\/working-on-the-klein-quartic-curves\/\" \/>\n\t<meta name=\"generator\" content=\"All in One SEO (AIOSEO) 4.9.10\" \/>\n\t\t<meta property=\"og:locale\" content=\"en_US\" \/>\n\t\t<meta property=\"og:site_name\" content=\"Visualizing a Theory of Everything! - Dedicated to the pursuit of beauty and Truth in Nature!\" \/>\n\t\t<meta property=\"og:type\" content=\"article\" \/>\n\t\t<meta property=\"og:title\" content=\"Klein Quartic Curves - Visualizing a Theory of Everything!\" \/>\n\t\t<meta property=\"og:description\" content=\"With some Mathematica source from Leon Lampret at math.stackexchange.com, I&#039;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&#039;s wonderful visualization from http:\/\/www.gregegan.net\/SCIENCE\/KleinQuartic\/KleinQuartic.html\" \/>\n\t\t<meta property=\"og:url\" content=\"https:\/\/theoryofeverything.org\/theToE\/2013\/06\/25\/working-on-the-klein-quartic-curves\/\" \/>\n\t\t<meta property=\"article:published_time\" content=\"2013-06-26T03:46:33+00:00\" \/>\n\t\t<meta property=\"article:modified_time\" content=\"2013-06-26T03:46:33+00:00\" \/>\n\t\t<meta name=\"twitter:card\" content=\"summary\" \/>\n\t\t<meta name=\"twitter:title\" content=\"Klein Quartic Curves - Visualizing a Theory of Everything!\" \/>\n\t\t<meta name=\"twitter:description\" content=\"With some Mathematica source from Leon Lampret at math.stackexchange.com, I&#039;ve been trying to understand the link between the bitangents of octonions and the Klein Quartic Curves. 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