{"id":3980,"date":"2016-03-10T17:20:20","date_gmt":"2016-03-10T17:20:20","guid":{"rendered":"http:\/\/theoryofeverything.org\/theToE\/?p=3980"},"modified":"2016-03-10T18:07:35","modified_gmt":"2016-03-10T18:07:35","slug":"more-fibonacci-pascal-triangle-patterns","status":"publish","type":"post","link":"https:\/\/theoryofeverything.org\/theToE\/2016\/03\/10\/more-fibonacci-pascal-triangle-patterns\/","title":{"rendered":"More Fibonacci \/ Pascal Triangle Patterns"},"content":{"rendered":"<p>Last year I posted <a href=\"http:\/\/theoryofeverything.org\/MyToE\/2015\/04\/22\/pascal-triangle-and-mod-2-9-sierpinski-maps\/\">this<\/a> on Pascal Triangle Modulo 2 thru 9 and their Sierpinski Maps.<\/p>\n<p>I just saw an interesting post by Lucien Khan on some Theological numerology (gematria) as it relates to the Modulo 10 patterns of Fibonacci <a href=\"https:\/\/docs.google.com\/document\/d\/1mVWd1aLiYZQU8VvYFBnW8kxodeYim3bYDIFfh-w42eU\/pub\">here<\/a>. <\/p>\n<p>I verified the pattern and added a few more as it relates to the repeating Modulo 9 and 10 patterns, Pascal Triangle and E8 (as in my <a href=\"http:\/\/theoryofeverything.org\/MyToE\/2015\/04\/22\/pascal-triangle-and-mod-2-9-sierpinski-maps\/\">original post<\/a>). <\/p>\n<p>Numbers are highlighted when divisible by:<br \/>\n60 are in red<br \/>\n30 are in green<br \/>\n15 are in blue<br \/>\n12 are in magenta<\/p>\n<p><a href=\"http:\/\/theoryofeverything.org\/theToE\/wp-content\/uploads\/2016\/03\/Fibonacci2.png\" rel=\"attachment wp-att-4004\"><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/theToE\/wp-content\/uploads\/2016\/03\/Fibonacci2.png\" alt=\"Fibonacci2\" width=\"776\" height=\"4141\" class=\"aligncenter size-full wp-image-4004\" srcset=\"https:\/\/theoryofeverything.org\/theToE\/wp-content\/uploads\/2016\/03\/Fibonacci2.png 776w, https:\/\/theoryofeverything.org\/theToE\/wp-content\/uploads\/2016\/03\/Fibonacci2-192x1024.png 192w\" sizes=\"auto, (max-width: 776px) 100vw, 776px\" \/><\/a><\/p>\n<p>This is all tied to the Pascal Triangle with its 2^n binary (Clifford Algebra) representation, E8 and the number 4!=24 and Octonions.<\/p>\n<p><a href=\"http:\/\/theoryofeverything.org\/theToE\/wp-content\/uploads\/2016\/03\/PascalNew.png\" rel=\"attachment wp-att-4000\"><img decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/theToE\/wp-content\/uploads\/2016\/03\/PascalNew.png\" alt=\"PascalNew\" width=\"800\" class=\"aligncenter size-full wp-image-4000\" srcset=\"https:\/\/theoryofeverything.org\/theToE\/wp-content\/uploads\/2016\/03\/PascalNew.png 960w, https:\/\/theoryofeverything.org\/theToE\/wp-content\/uploads\/2016\/03\/PascalNew-500x375.png 500w\" sizes=\"(max-width: 960px) 100vw, 960px\" \/><\/a><\/p>\n<p>All of these structures, including the 3 dimensional geometry of the Platonic solids (and its big brother, the 4D non-crystallographic H4 group geometry) are related to E8 via a folding matrix I determined a few years ago <a href=\"http:\/\/theoryofeverything.org\/theToE\/2014\/11\/14\/my-latest-paper-on-e8-the-h4-folding-matrix-and-integration-with-octonions-and-gravigut-physics-models\/\">here<\/a>.<\/p>\n<p>For some related interesting reading from John Baez regarding the number <a href=\"http:\/\/math.ucr.edu\/home\/baez\/numbers\/24_waterloo.pdf\">24<\/a> and its link to String Theory (M-Theory) updated from last week! (see also related info on his other favorite numbers <a href=\"http:\/\/math.ucr.edu\/home\/baez\/numbers\/5.pdf\">5<\/a> and <a href=\"http:\/\/math.ucr.edu\/home\/baez\/numbers\/8.pdf\">8<\/a>).<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Last year I posted this on Pascal Triangle Modulo 2 thru 9 and their Sierpinski Maps. I just saw an interesting post by Lucien Khan on some Theological numerology (gematria) as it relates to the Modulo 10 patterns of Fibonacci here. I verified the pattern and added a few more as it relates to the &hellip; <a href=\"https:\/\/theoryofeverything.org\/theToE\/2016\/03\/10\/more-fibonacci-pascal-triangle-patterns\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">More Fibonacci \/ Pascal Triangle Patterns<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"image","meta":{"footnotes":""},"categories":[15],"tags":[4],"class_list":["post-3980","post","type-post","status-publish","format-image","hentry","category-philosophy","tag-e8","post_format-post-format-image"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.9 - aioseo.com -->\n\t<meta name=\"description\" content=\"Last year I posted this on Pascal Triangle Modulo 2 thru 9 and their Sierpinski Maps. 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I verified the pattern and added a few more as it relates to the\" \/>\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\/2016\/03\/10\/more-fibonacci-pascal-triangle-patterns\/\" \/>\n\t<meta name=\"generator\" content=\"All in One SEO (AIOSEO) 4.9.9\" \/>\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=\"More Fibonacci \/ Pascal Triangle Patterns - Visualizing a Theory of Everything!\" \/>\n\t\t<meta property=\"og:description\" content=\"Last year I posted this on Pascal Triangle Modulo 2 thru 9 and their Sierpinski Maps. I just saw an interesting post by Lucien Khan on some Theological numerology (gematria) as it relates to the Modulo 10 patterns of Fibonacci here. I verified the pattern and added a few more as it relates to the\" \/>\n\t\t<meta property=\"og:url\" content=\"https:\/\/theoryofeverything.org\/theToE\/2016\/03\/10\/more-fibonacci-pascal-triangle-patterns\/\" \/>\n\t\t<meta property=\"article:published_time\" content=\"2016-03-10T17:20:20+00:00\" \/>\n\t\t<meta property=\"article:modified_time\" content=\"2016-03-10T18:07:35+00:00\" \/>\n\t\t<meta name=\"twitter:card\" content=\"summary\" \/>\n\t\t<meta name=\"twitter:title\" content=\"More Fibonacci \/ Pascal Triangle Patterns - Visualizing a Theory of Everything!\" \/>\n\t\t<meta name=\"twitter:description\" content=\"Last year I posted this on Pascal Triangle Modulo 2 thru 9 and their Sierpinski Maps. 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I verified the pattern and added a few more as it relates to the"},"aioseo_meta_data":{"post_id":"3980","title":null,"description":null,"keywords":null,"keyphrases":null,"primary_term":null,"canonical_url":null,"og_title":null,"og_description":null,"og_object_type":"default","og_image_type":"default","og_image_url":null,"og_image_width":null,"og_image_height":null,"og_image_custom_url":null,"og_image_custom_fields":null,"og_video":null,"og_custom_url":null,"og_article_section":null,"og_article_tags":null,"twitter_use_og":false,"twitter_card":"default","twitter_image_type":"default","twitter_image_url":null,"twitter_image_custom_url":null,"twitter_image_custom_fields":null,"twitter_title":null,"twitter_description":null,"schema":{"blockGraphs":[],"customGraphs":[],"default":{"data":{"Article":[],"Course":[],"Dataset":[],"FAQPage":[],"Movie":[],"Person":[],"Product":[],"ProductReview":[],"Car":[],"Recipe":[],"Service":[],"SoftwareApplication":[],"WebPage":[]},"graphName":"","isEnabled":true},"graphs":[]},"schema_type":"default","schema_type_options":null,"pillar_content":false,"robots_default":true,"robots_noindex":false,"robots_noarchive":false,"robots_nosnippet":false,"robots_nofollow":false,"robots_noimageindex":false,"robots_noodp":false,"robots_notranslate":false,"robots_max_snippet":null,"robots_max_videopreview":null,"robots_max_imagepreview":"large","priority":null,"frequency":null,"local_seo":null,"limit_modified_date":false,"created":"2022-04-06 04:18:11","updated":"2025-06-10 15:46:41"},"aioseo_breadcrumb":"<div class=\"aioseo-breadcrumbs\"><span class=\"aioseo-breadcrumb\">\n\t\t\t<a href=\"https:\/\/theoryofeverything.org\/theToE\" title=\"Home\">Home<\/a>\n\t\t<\/span><span class=\"aioseo-breadcrumb-separator\">\u00bb<\/span><span class=\"aioseo-breadcrumb\">\n\t\t\t<a href=\"https:\/\/theoryofeverything.org\/theToE\/topics\/philosophy\/\" title=\"Philosophy\">Philosophy<\/a>\n\t\t<\/span><span class=\"aioseo-breadcrumb-separator\">\u00bb<\/span><span class=\"aioseo-breadcrumb\">\n\t\t\tMore Fibonacci \/ Pascal Triangle Patterns\n\t\t<\/span><\/div>","aioseo_breadcrumb_json":[{"label":"Home","link":"https:\/\/theoryofeverything.org\/theToE"},{"label":"Philosophy","link":"https:\/\/theoryofeverything.org\/theToE\/topics\/philosophy\/"},{"label":"More Fibonacci \/ Pascal Triangle Patterns","link":"https:\/\/theoryofeverything.org\/theToE\/2016\/03\/10\/more-fibonacci-pascal-triangle-patterns\/"}],"_links":{"self":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/3980","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=3980"}],"version-history":[{"count":5,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/3980\/revisions"}],"predecessor-version":[{"id":4013,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/3980\/revisions\/4013"}],"wp:attachment":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/media?parent=3980"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/categories?post=3980"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/tags?post=3980"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}