{"id":7779,"date":"2026-02-13T13:48:57","date_gmt":"2026-02-13T20:48:57","guid":{"rendered":"https:\/\/theoryofeverything.org\/theToE\/?p=7779"},"modified":"2026-02-15T08:29:27","modified_gmt":"2026-02-15T15:29:27","slug":"hypercomplex-e8-as-it-relates-to-the-sedenions-trigintaduonions-and-beyond","status":"publish","type":"post","link":"https:\/\/theoryofeverything.org\/theToE\/2026\/02\/13\/hypercomplex-e8-as-it-relates-to-the-sedenions-trigintaduonions-and-beyond\/","title":{"rendered":"Hypercomplex E8 as it relates to the Sedenions, Trigintaduonions, and beyond"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">This post will document some work I am doing related to E8, H4, and the hypercomplex forms of algebras and groups. So stay tuned&#8230;.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><a href=\"https:\/\/theoryofeverything.org\/TOE\/JGM\/Cayley-Dickson Algebras to Grasmannians.svg\" target=\"_blank\" rel=\" noreferrer noopener\"><img decoding=\"async\" src=\"https:\/\/theoryofeverything.org\/TOE\/JGM\/Cayley-Dickson Algebras to Grasmannians.svg\" alt=\"\"\/><\/a><figcaption class=\"wp-element-caption\">Hypercomplex numbers<\/figcaption><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><a href=\"https:\/\/theoryofeverything.org\/TOE\/JGM\/Trigintaduonions.svg\" target=\"_blank\" rel=\" noreferrer noopener\"><img decoding=\"async\" src=\"https:\/\/theoryofeverything.org\/TOE\/JGM\/Trigintaduonions.svg\" alt=\"\"\/><\/a><figcaption class=\"wp-element-caption\">Trigintaduonions derived using repeated Cayley-Dickson doubling of my &#8220;Palindromic Octonions&#8221; (one of 480 possible) that creates a unique Derivation chart (as shown below).  Red are the Octonion triads and Blue are Sedenions.<\/figcaption><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><a href=\"https:\/\/theoryofeverything.org\/TOE\/JGM\/Sexagintaquatronions.svg\" target=\"_blank\" rel=\" noreferrer noopener\"><img decoding=\"async\" src=\"https:\/\/theoryofeverything.org\/TOE\/JGM\/Sexagintaquatronions.svg\" alt=\"\"\/><\/a><figcaption class=\"wp-element-caption\">Sexagintaquatronions derived using repeated Cayley-Dickson doubling of my &#8220;Palindromic Octonions&#8221; (one of 480 possible) that creates a unique Derivation chart (as shown below). Red are the Octonion triads, Blue are Sedenion, and Green are Trigintaduonions.<\/figcaption><\/figure>\n<\/div>\n\n<div class=\"wp-block-image\">\n<figure class=\"aligncenter size-large\"><a href=\"https:\/\/theoryofeverything.org\/TOE\/JGM\/palindromic-octonion-split-fano4.svg\" target=\"_blank\" rel=\" noreferrer noopener\"><img decoding=\"async\" src=\"https:\/\/theoryofeverything.org\/TOE\/JGM\/palindromic-octonion-split-fano4.svg\" alt=\"\"\/><\/a><figcaption class=\"wp-element-caption\">Palindromic Octonions (with 7 split forms) and their Cayley-Dickson generated Sedenions with uniquely symmetric Derivation chart and 84 Zero Divisors <\/figcaption><\/figure>\n<\/div>","protected":false},"excerpt":{"rendered":"<p>This post will document some work I am doing related to E8, H4, and the hypercomplex forms of algebras and groups. So stay tuned&#8230;.<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[4,34,14,16],"class_list":["post-7779","post","type-post","status-publish","format-standard","hentry","category-physics","tag-e8","tag-h4","tag-math","tag-physics"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.10 - aioseo.com -->\n\t<meta name=\"description\" content=\"This post will document some work I am doing related to E8, H4, and the hypercomplex forms of algebras and groups. 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So stay tuned....\" \/>\n\t\t<script type=\"application\/ld+json\" class=\"aioseo-schema\">\n\t\t\t{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"BlogPosting\",\"@id\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/2026\\\/02\\\/13\\\/hypercomplex-e8-as-it-relates-to-the-sedenions-trigintaduonions-and-beyond\\\/#blogposting\",\"name\":\"Hypercomplex E8 as it relates to the Sedenions, Trigintaduonions, and beyond - Visualizing a Theory of Everything!\",\"headline\":\"Hypercomplex E8 as it relates to the Sedenions, Trigintaduonions, and beyond\",\"author\":{\"@id\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/author\\\/jgmoxness\\\/#author\"},\"publisher\":{\"@id\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/#person\"},\"image\":{\"@type\":\"ImageObject\",\"url\":\"https:\\\/\\\/theoryofeverything.org\\\/TOE\\\/JGM\\\/Cayley-Dickson Algebras to Grasmannians.svg\",\"@id\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/2026\\\/02\\\/13\\\/hypercomplex-e8-as-it-relates-to-the-sedenions-trigintaduonions-and-beyond\\\/#articleImage\"},\"datePublished\":\"2026-02-13T13:48:57-07:00\",\"dateModified\":\"2026-02-15T08:29:27-07:00\",\"inLanguage\":\"en-US\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/2026\\\/02\\\/13\\\/hypercomplex-e8-as-it-relates-to-the-sedenions-trigintaduonions-and-beyond\\\/#webpage\"},\"isPartOf\":{\"@id\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/2026\\\/02\\\/13\\\/hypercomplex-e8-as-it-relates-to-the-sedenions-trigintaduonions-and-beyond\\\/#webpage\"},\"articleSection\":\"Physics, E8, H4, Math, Physics\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/2026\\\/02\\\/13\\\/hypercomplex-e8-as-it-relates-to-the-sedenions-trigintaduonions-and-beyond\\\/#breadcrumblist\",\"itemListElement\":[{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE#listItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\",\"nextItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/topics\\\/physics\\\/#listItem\",\"name\":\"Physics\"}},{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/topics\\\/physics\\\/#listItem\",\"position\":2,\"name\":\"Physics\",\"item\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/topics\\\/physics\\\/\",\"nextItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/2026\\\/02\\\/13\\\/hypercomplex-e8-as-it-relates-to-the-sedenions-trigintaduonions-and-beyond\\\/#listItem\",\"name\":\"Hypercomplex E8 as it relates to the Sedenions, Trigintaduonions, and beyond\"},\"previousItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE#listItem\",\"name\":\"Home\"}},{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/2026\\\/02\\\/13\\\/hypercomplex-e8-as-it-relates-to-the-sedenions-trigintaduonions-and-beyond\\\/#listItem\",\"position\":3,\"name\":\"Hypercomplex E8 as it relates to the Sedenions, Trigintaduonions, and beyond\",\"previousItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/topics\\\/physics\\\/#listItem\",\"name\":\"Physics\"}}]},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/#person\",\"name\":\"jgmoxness\"},{\"@type\":\"Person\",\"@id\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/author\\\/jgmoxness\\\/#author\",\"url\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/author\\\/jgmoxness\\\/\",\"name\":\"jgmoxness\"},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/2026\\\/02\\\/13\\\/hypercomplex-e8-as-it-relates-to-the-sedenions-trigintaduonions-and-beyond\\\/#webpage\",\"url\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/2026\\\/02\\\/13\\\/hypercomplex-e8-as-it-relates-to-the-sedenions-trigintaduonions-and-beyond\\\/\",\"name\":\"Hypercomplex E8 as it relates to the Sedenions, Trigintaduonions, and beyond - Visualizing a Theory of Everything!\",\"description\":\"This post will document some work I am doing related to E8, H4, and the hypercomplex forms of algebras and groups. 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