{"id":2559,"date":"2015-02-02T11:29:41","date_gmt":"2015-02-02T18:29:41","guid":{"rendered":"http:\/\/theoryofeverything.org\/MyToE\/?p=2559"},"modified":"2015-12-27T18:47:19","modified_gmt":"2015-12-27T18:47:19","slug":"the-grand-antiprism","status":"publish","type":"post","link":"https:\/\/theoryofeverything.org\/theToE\/2015\/02\/02\/the-grand-antiprism\/","title":{"rendered":"The Grand Antiprism"},"content":{"rendered":"<p>This <a href=\"https:\/\/en.wikipedia.org\/wiki\/Grand_antiprism\">Grand antiprism<\/a> was created by projection of 100 of 120 600 cell vertices and 500 edges {488 of 1\/2 (3-Sqrt[5]) and 12 of 2\/(3+Sqrt[5])}. One face of this 3D projection contains the VanOss Petrie 30-gon projection. The removed vertices are from the inner rings of the 16-cell and their corresponding 4 Pi\/5 rotations in the snub 24-cell.<\/p>\n<p>The other two faces are shown, one of which is seen in the 2D orthonormal projection of H4.<\/p>\n<p><a href=\"http:\/\/theoryofeverything.org\/MyToE\/?attachment_id=2560\" rel=\"attachment wp-att-2560\"><img decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/MyToE\/wp-content\/uploads\/2015\/02\/GrandAntiPrism-3DOrtho-30.png\" alt=\"GrandAntiPrism-3DOrtho-30\" width=\"500\" class=\"alignnone size-full wp-image-2560\" \/><\/a><br \/>\n<a href=\"http:\/\/theoryofeverything.org\/MyToE\/?attachment_id=2565\" rel=\"attachment wp-att-2565\"><img decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/MyToE\/wp-content\/uploads\/2015\/02\/GrandAntiPrism-3DOrtho-30b.png\" alt=\"GrandAntiPrism-3DOrtho-30b\" width=\"500\" class=\"alignnone size-full wp-image-2565\" \/><\/a><\/p>\n<p><a href=\"http:\/\/theoryofeverything.org\/MyToE\/?attachment_id=2567\" rel=\"attachment wp-att-2567\"><img decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/MyToE\/wp-content\/uploads\/2015\/02\/GrandAntiPrism-3DOrtho-30a.png\" alt=\"GrandAntiPrism-3DOrtho-30a\" width=500\" class=\"alignnone size-full wp-image-2567\" \/><\/a><\/p>\n<p><a href=\"http:\/\/theoryofeverything.org\/MyToE\/?attachment_id=2569\" rel=\"attachment wp-att-2569\"><img decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/MyToE\/wp-content\/uploads\/2015\/02\/GrandAntiPrism-2DOrtho-30a.png\" alt=\"GrandAntiPrism-2DOrtho-30a\" width=\"500\" class=\"alignnone size-full wp-image-2569\" \/><\/a><\/p>\n<p><a href=\"http:\/\/theoryofeverything.org\/MyToE\/?attachment_id=2570\" rel=\"attachment wp-att-2570\"><img decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/MyToE\/wp-content\/uploads\/2015\/02\/GrandAntiPrism-2DOrtho-30b.png\" alt=\"GrandAntiPrism-2DOrtho-30b\" width=\"500\" class=\"alignnone size-full wp-image-2570\" \/><\/a><\/p>\n<p><a href=\"http:\/\/theoryofeverything.org\/MyToE\/?attachment_id=2571\" rel=\"attachment wp-att-2571\"><img decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/MyToE\/wp-content\/uploads\/2015\/02\/GrandAntiPrism-2DOrtho-30c.png\" alt=\"GrandAntiPrism-2DOrtho-30c\" width=\"500\" class=\"alignnone size-full wp-image-2571\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>This Grand antiprism was created by projection of 100 of 120 600 cell vertices and 500 edges {488 of 1\/2 (3-Sqrt[5]) and 12 of 2\/(3+Sqrt[5])}. One face of this 3D projection contains the VanOss Petrie 30-gon projection. The removed vertices are from the inner rings of the 16-cell and their corresponding 4 Pi\/5 rotations in &hellip; <a href=\"https:\/\/theoryofeverything.org\/theToE\/2015\/02\/02\/the-grand-antiprism\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">The Grand Antiprism<\/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":[8,14],"class_list":["post-2559","post","type-post","status-publish","format-standard","hentry","category-physics","tag-3d","tag-math"],"aioseo_notices":[],"aioseo_head":"\n\t\t<!-- All in One SEO 4.9.9 - aioseo.com -->\n\t<meta name=\"description\" content=\"This Grand antiprism was created by projection of 100 of 120 600 cell vertices and 500 edges {488 of 1\/2 (3-Sqrt[5]) and 12 of 2\/(3+Sqrt[5])}. One face of this 3D projection contains the VanOss Petrie 30-gon projection. The removed vertices are from the inner rings of the 16-cell and their corresponding 4 Pi\/5 rotations in\" \/>\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\/2015\/02\/02\/the-grand-antiprism\/\" \/>\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=\"The Grand Antiprism - Visualizing a Theory of Everything!\" \/>\n\t\t<meta property=\"og:description\" content=\"This Grand antiprism was created by projection of 100 of 120 600 cell vertices and 500 edges {488 of 1\/2 (3-Sqrt[5]) and 12 of 2\/(3+Sqrt[5])}. One face of this 3D projection contains the VanOss Petrie 30-gon projection. The removed vertices are from the inner rings of the 16-cell and their corresponding 4 Pi\/5 rotations in\" \/>\n\t\t<meta property=\"og:url\" content=\"https:\/\/theoryofeverything.org\/theToE\/2015\/02\/02\/the-grand-antiprism\/\" \/>\n\t\t<meta property=\"article:published_time\" content=\"2015-02-02T18:29:41+00:00\" \/>\n\t\t<meta property=\"article:modified_time\" content=\"2015-12-27T18:47:19+00:00\" \/>\n\t\t<meta name=\"twitter:card\" content=\"summary\" \/>\n\t\t<meta name=\"twitter:title\" content=\"The Grand Antiprism - Visualizing a Theory of Everything!\" \/>\n\t\t<meta name=\"twitter:description\" content=\"This Grand antiprism was created by projection of 100 of 120 600 cell vertices and 500 edges {488 of 1\/2 (3-Sqrt[5]) and 12 of 2\/(3+Sqrt[5])}. One face of this 3D projection contains the VanOss Petrie 30-gon projection. The removed vertices are from the inner rings of the 16-cell and their corresponding 4 Pi\/5 rotations in\" \/>\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\\\/2015\\\/02\\\/02\\\/the-grand-antiprism\\\/#blogposting\",\"name\":\"The Grand Antiprism - Visualizing a Theory of Everything!\",\"headline\":\"The Grand Antiprism\",\"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\\\/2015\\\/02\\\/GrandAntiPrism-3DOrtho-30.png\",\"@id\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/2015\\\/02\\\/02\\\/the-grand-antiprism\\\/#articleImage\"},\"datePublished\":\"2015-02-02T11:29:41-07:00\",\"dateModified\":\"2015-12-27T18:47:19-07:00\",\"inLanguage\":\"en-US\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/2015\\\/02\\\/02\\\/the-grand-antiprism\\\/#webpage\"},\"isPartOf\":{\"@id\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/2015\\\/02\\\/02\\\/the-grand-antiprism\\\/#webpage\"},\"articleSection\":\"Physics, 3D, Math\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/2015\\\/02\\\/02\\\/the-grand-antiprism\\\/#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\\\/2015\\\/02\\\/02\\\/the-grand-antiprism\\\/#listItem\",\"name\":\"The Grand Antiprism\"},\"previousItem\":{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE#listItem\",\"name\":\"Home\"}},{\"@type\":\"ListItem\",\"@id\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/2015\\\/02\\\/02\\\/the-grand-antiprism\\\/#listItem\",\"position\":3,\"name\":\"The Grand Antiprism\",\"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\\\/2015\\\/02\\\/02\\\/the-grand-antiprism\\\/#webpage\",\"url\":\"https:\\\/\\\/theoryofeverything.org\\\/theToE\\\/2015\\\/02\\\/02\\\/the-grand-antiprism\\\/\",\"name\":\"The Grand Antiprism - Visualizing a Theory of Everything!\",\"description\":\"This Grand antiprism was created by projection of 100 of 120 600 cell vertices and 500 edges {488 of 1\\\/2 (3-Sqrt[5]) and 12 of 2\\\/(3+Sqrt[5])}. 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The removed vertices are from the inner rings of the 16-cell and their corresponding 4 Pi\/5 rotations in"},"aioseo_meta_data":{"post_id":"2559","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":[],"defaultGraph":"","defaultPostTypeGraph":""},"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 04:12:36","updated":"2025-06-10 15:41:05"},"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\/physics\/\" title=\"Physics\">Physics<\/a>\n\t\t<\/span><span class=\"aioseo-breadcrumb-separator\">\u00bb<\/span><span class=\"aioseo-breadcrumb\">\n\t\t\tThe Grand Antiprism\n\t\t<\/span><\/div>","aioseo_breadcrumb_json":[{"label":"Home","link":"https:\/\/theoryofeverything.org\/theToE"},{"label":"Physics","link":"https:\/\/theoryofeverything.org\/theToE\/topics\/physics\/"},{"label":"The Grand Antiprism","link":"https:\/\/theoryofeverything.org\/theToE\/2015\/02\/02\/the-grand-antiprism\/"}],"_links":{"self":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/2559","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=2559"}],"version-history":[{"count":1,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/2559\/revisions"}],"predecessor-version":[{"id":3899,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/2559\/revisions\/3899"}],"wp:attachment":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/media?parent=2559"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/categories?post=2559"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/tags?post=2559"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}