{"id":2232,"date":"2014-11-06T08:44:39","date_gmt":"2014-11-06T15:44:39","guid":{"rendered":"http:\/\/theoryofeverything.org\/MyToE\/?p=2232"},"modified":"2014-11-06T08:44:39","modified_gmt":"2014-11-06T15:44:39","slug":"fun-with-8d-rotations-of-e8","status":"publish","type":"post","link":"https:\/\/theoryofeverything.org\/theToE\/2014\/11\/06\/fun-with-8d-rotations-of-e8\/","title":{"rendered":"Fun with 8D rotations of E8"},"content":{"rendered":"<p>This is a little clip containing three different 8 dimensional rotations of E8. While it may seem like a simple rotation of an object in 3-space, if you look carefully (especially the first rotation), you can see sets of vertices moving in different directions.<\/p>\n<p>The object (the 240 vertices of E8 along with 1220 of 6720 edges of 8D length Sqrt[2]) is not &#8220;moving&#8221;. It is the camera that is moving in an 8 dimensional space.<\/p>\n<p>Best when viewed in HD!<\/p>\n<p><iframe loading=\"lazy\" width=\"500\" height=\"400\" src=\"\/\/www.youtube.com\/embed\/okR7TRUoSHY\" frameborder=\"0\" allowfullscreen><\/iframe><\/p>\n<p>The previous 3D animations <a href=\"http:\/\/theoryofeverything.org\/MyToE\/?p=2180\">here<\/a> and <a href=\"http:\/\/theoryofeverything.org\/MyToE\/?p=2105\">here<\/a> are created by projecting the 8 dimensional object of E8 into 3 and simply rotating (spinning) that object around in 3-space. I like to call those animations 4D, since animation visualizes changes over time &#8211; a 4D space-time object if you will&#8230;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is a little clip containing three different 8 dimensional rotations of E8. While it may seem like a simple rotation of an object in 3-space, if you look carefully (especially the first rotation), you can see sets of vertices moving in different directions. The object (the 240 vertices of E8 along with 1220 of &hellip; <a href=\"https:\/\/theoryofeverything.org\/theToE\/2014\/11\/06\/fun-with-8d-rotations-of-e8\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Fun with 8D rotations of E8<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/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":[13,4,16],"class_list":["post-2232","post","type-post","status-publish","format-standard","hentry","category-physics","tag-4d","tag-e8","tag-physics"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/2232","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=2232"}],"version-history":[{"count":0,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/2232\/revisions"}],"wp:attachment":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/media?parent=2232"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/categories?post=2232"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/tags?post=2232"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}