{"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":"http:\/\/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=\"http:\/\/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":[],"_links":{"self":[{"href":"http:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/2559","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/comments?post=2559"}],"version-history":[{"count":1,"href":"http:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/2559\/revisions"}],"predecessor-version":[{"id":3899,"href":"http:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/2559\/revisions\/3899"}],"wp:attachment":[{"href":"http:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/media?parent=2559"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/categories?post=2559"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/tags?post=2559"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}