{"id":1282,"date":"2013-06-15T10:32:57","date_gmt":"2013-06-15T17:32:57","guid":{"rendered":"http:\/\/theoryofeverything.org\/MyToE\/?p=1282"},"modified":"2017-10-01T11:54:50","modified_gmt":"2017-10-01T18:54:50","slug":"connecting-the-octonion-fano-plane-to-the-atomic-elements","status":"publish","type":"post","link":"https:\/\/theoryofeverything.org\/theToE\/2013\/06\/15\/connecting-the-octonion-fano-plane-to-the-atomic-elements\/","title":{"rendered":"Connecting the Octonion Fano Plane to the Atomic Elements"},"content":{"rendered":"<p>There are <a href=\"https:\/\/en.wikipedia.org\/wiki\/Fano_plane\" title=\"Fano plane\">28 octonion Fano plane triangles<\/a> that correspond directly to the <a href=\"https:\/\/en.wikipedia.org\/wiki\/Bitangents_of_a_quartic\" title=\"Trott curve bitangents\">28 Trott quartic curve bitangents<\/a>. These bitangents are directly related to the Legendre functions used in the Shroedinger spherical harmonic electron orbital probability densities. Shown below is a graphic of these overlaid onto the n=5, l=2, m=1 element, which is assigned to <a href=\"https:\/\/en.wikipedia.org\/wiki\/File:Stowe-Janet-Scerri_PeriodicTable.svg\" title=\"Stowe-Janet-Scerri periodic table\">gold (Au)<\/a>. When using an algorithm based on the <a href=\"https:\/\/en.wikipedia.org\/wiki\/E8_%28mathematics%29\" title=\"E8\">E8 positive algebra root assignments<\/a>, the &#8220;flipped&#8221; Fano plane has E8 algebra root number 79 (the atomic number of Au) and split real even group number of 228 (in Clifford\/Pascal triangle order). For more information, please see the complete list of <a href=\"http:\/\/theoryofeverything.org\/MyToE\/?p=1232\" title=\"Fano inices\">integrated Fano indices here<\/a> with <a href=\"http:\/\/theoryofeverything.org\/MyToE\/?p=1258\" title=\"explanation\">full explanation of the layout here<\/a>.<\/p>\n<p><a href=\"http:\/\/theoryofeverything.org\/MyToE\/?attachment_id=1298\" rel=\"attachment wp-att-1298\"><img decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/MyToE\/wp-content\/uploads\/2013\/06\/FanoLegendre.jpg\" alt=\"FanoLegendre\" width=\"500\" class=\"alignnone size-full wp-image-1298\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>There are 28 octonion Fano plane triangles that correspond directly to the 28 Trott quartic curve bitangents. These bitangents are directly related to the Legendre functions used in the Shroedinger spherical harmonic electron orbital probability densities. Shown below is a graphic of these overlaid onto the n=5, l=2, m=1 element, which is assigned to gold &hellip; <a href=\"https:\/\/theoryofeverything.org\/theToE\/2013\/06\/15\/connecting-the-octonion-fano-plane-to-the-atomic-elements\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Connecting the Octonion Fano Plane to the Atomic Elements<\/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":[2],"tags":[24,19,20,25],"class_list":["post-1282","post","type-post","status-publish","format-standard","hentry","category-personal","tag-chemistry","tag-fano","tag-octonion","tag-periodic-table"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.8 - aioseo.com -->\n\t<meta name=\"description\" content=\"There are 28 octonion Fano plane triangles that correspond directly to the 28 Trott quartic curve bitangents. These bitangents are directly related to the Legendre functions used in the Shroedinger spherical harmonic electron orbital probability densities. Shown below is a graphic of these overlaid onto the n=5, l=2, m=1 element, which is assigned to gold\" \/>\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\/15\/connecting-the-octonion-fano-plane-to-the-atomic-elements\/\" \/>\n\t<meta name=\"generator\" content=\"All in One SEO (AIOSEO) 4.9.8\" \/>\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=\"Connecting the Octonion Fano Plane to the Atomic Elements - Visualizing a Theory of Everything!\" \/>\n\t\t<meta property=\"og:description\" content=\"There are 28 octonion Fano plane triangles that correspond directly to the 28 Trott quartic curve bitangents. These bitangents are directly related to the Legendre functions used in the Shroedinger spherical harmonic electron orbital probability densities. Shown below is a graphic of these overlaid onto the n=5, l=2, m=1 element, which is assigned to gold\" \/>\n\t\t<meta property=\"og:url\" content=\"https:\/\/theoryofeverything.org\/theToE\/2013\/06\/15\/connecting-the-octonion-fano-plane-to-the-atomic-elements\/\" \/>\n\t\t<meta property=\"article:published_time\" content=\"2013-06-15T17:32:57+00:00\" \/>\n\t\t<meta property=\"article:modified_time\" content=\"2017-10-01T18:54:50+00:00\" \/>\n\t\t<meta name=\"twitter:card\" content=\"summary\" \/>\n\t\t<meta name=\"twitter:title\" content=\"Connecting the Octonion Fano Plane to the Atomic Elements - Visualizing a Theory of Everything!\" \/>\n\t\t<meta name=\"twitter:description\" content=\"There are 28 octonion Fano plane triangles that correspond directly to the 28 Trott quartic curve bitangents. These bitangents are directly related to the Legendre functions used in the Shroedinger spherical harmonic electron orbital probability densities. Shown below is a graphic of these overlaid onto the n=5, l=2, m=1 element, which is assigned to gold\" \/>\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\\\/2013\\\/06\\\/15\\\/connecting-the-octonion-fano-plane-to-the-atomic-elements\\\/#blogposting\",\"name\":\"Connecting the Octonion Fano Plane to the Atomic Elements - Visualizing a Theory of Everything!\",\"headline\":\"Connecting the Octonion Fano Plane to the Atomic Elements\",\"author\":{\"@id\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/author\\\/jgmoxness\\\/#author\"},\"publisher\":{\"@id\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/#person\"},\"image\":{\"@type\":\"ImageObject\",\"url\":\"http:\\\/\\\/theoryofeverything.org\\\/MyToE\\\/wp-content\\\/uploads\\\/2013\\\/06\\\/FanoLegendre.jpg\",\"@id\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/2013\\\/06\\\/15\\\/connecting-the-octonion-fano-plane-to-the-atomic-elements\\\/#articleImage\"},\"datePublished\":\"2013-06-15T10:32:57-07:00\",\"dateModified\":\"2017-10-01T11:54:50-07:00\",\"inLanguage\":\"en-US\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/2013\\\/06\\\/15\\\/connecting-the-octonion-fano-plane-to-the-atomic-elements\\\/#webpage\"},\"isPartOf\":{\"@id\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/2013\\\/06\\\/15\\\/connecting-the-octonion-fano-plane-to-the-atomic-elements\\\/#webpage\"},\"articleSection\":\"Personal, Chemistry, Fano, Octonion, PeriodicTable\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/2013\\\/06\\\/15\\\/connecting-the-octonion-fano-plane-to-the-atomic-elements\\\/#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\\\/personal\\\/#listItem\",\"name\":\"Personal\"}},{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/topics\\\/personal\\\/#listItem\",\"position\":2,\"name\":\"Personal\",\"item\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/topics\\\/personal\\\/\",\"nextItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/2013\\\/06\\\/15\\\/connecting-the-octonion-fano-plane-to-the-atomic-elements\\\/#listItem\",\"name\":\"Connecting the Octonion Fano Plane to the Atomic Elements\"},\"previousItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE#listItem\",\"name\":\"Home\"}},{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/2013\\\/06\\\/15\\\/connecting-the-octonion-fano-plane-to-the-atomic-elements\\\/#listItem\",\"position\":3,\"name\":\"Connecting the Octonion Fano Plane to the Atomic Elements\",\"previousItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/topics\\\/personal\\\/#listItem\",\"name\":\"Personal\"}}]},{\"@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\\\/2013\\\/06\\\/15\\\/connecting-the-octonion-fano-plane-to-the-atomic-elements\\\/#webpage\",\"url\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/2013\\\/06\\\/15\\\/connecting-the-octonion-fano-plane-to-the-atomic-elements\\\/\",\"name\":\"Connecting the Octonion Fano Plane to the Atomic Elements - Visualizing a Theory of Everything!\",\"description\":\"There are 28 octonion Fano plane triangles that correspond directly to the 28 Trott quartic curve bitangents. 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