{"id":1049,"date":"2013-03-09T10:24:44","date_gmt":"2013-03-09T17:24:44","guid":{"rendered":"http:\/\/theoryofeverything.org\/MyToE\/?p=1049"},"modified":"2017-10-01T11:43:44","modified_gmt":"2017-10-01T18:43:44","slug":"octonion-math-notebook","status":"publish","type":"post","link":"https:\/\/theoryofeverything.org\/theToE\/2013\/03\/09\/octonion-math-notebook\/","title":{"rendered":"Octonion Math Notebook"},"content":{"rendered":"<p>In responding to a query on <a href=\"http:\/\/mathematica.stackexchange.com\/questions\/20704\/octonions-in-mathematica\">StackExchange<\/a>, I created a <a href=\"http:\/\/theoryofeverything.org\/TOE\/JGM\/Octonions.nb\" title=\"Octonion math\">small notebook<\/a> that includes a Cayley-Dickson doubling of the built-in Mathematica quaternions to perform general octonion math. It is the foundation for some of the visualizations used <a href=\"http:\/\/theoryofeverything.org\/theToE\/visualizations\/interactive\/\">here<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In responding to a query on StackExchange, I created a small notebook that includes a Cayley-Dickson doubling of the built-in Mathematica quaternions to perform general octonion math. It is the foundation for some of the visualizations used here.<\/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],"class_list":["post-1049","post","type-post","status-publish","format-standard","hentry","category-physics","tag-octonion"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/1049","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=1049"}],"version-history":[{"count":1,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/1049\/revisions"}],"predecessor-version":[{"id":4639,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/1049\/revisions\/4639"}],"wp:attachment":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/media?parent=1049"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/categories?post=1049"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/tags?post=1049"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}