{"id":2576,"date":"2015-02-03T10:36:43","date_gmt":"2015-02-03T17:36:43","guid":{"rendered":"http:\/\/theoryofeverything.org\/MyToE\/?p=2576"},"modified":"2015-12-27T18:46:22","modified_gmt":"2015-12-27T18:46:22","slug":"boerdijk-coxeter-helix","status":"publish","type":"post","link":"https:\/\/theoryofeverything.org\/theToE\/2015\/02\/03\/boerdijk-coxeter-helix\/","title":{"rendered":"Boerdijk\u2013Coxeter helix"},"content":{"rendered":"<p>The <a href=\"https:\/\/en.wikipedia.org\/wiki\/Boerdijk%E2%80%93Coxeter_helix\">Boerdijk\u2013Coxeter helix<\/a> is a 4D helix (of 3D tetrahedral cells) that makes up the vertices on 4 of the concentric rings of E8 Petrie projection (or the H4 and H4\u03c6 rings of the 2 600 cells in E8).<\/p>\n<p>Outer (Ring 4) of H4 in 2D with non-physics vertices of all 8 rings of E8 in the background<\/p>\n<p><a href=\"http:\/\/theoryofeverything.org\/MyToE\/?attachment_id=2637\" rel=\"attachment wp-att-2637\"><img decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/MyToE\/wp-content\/uploads\/2015\/02\/helix2Db.png\" alt=\"helix2Db\" width=\"500\" class=\"alignnone size-full wp-image-2637\" \/><\/a><\/p>\n<p><a href=\"http:\/\/theoryofeverything.org\/MyToE\/?attachment_id=2652\" rel=\"attachment wp-att-2652\"><img decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/MyToE\/wp-content\/uploads\/2015\/02\/inner-outerP.png\" alt=\"inner-outerP\" width=\"500\" class=\"alignnone size-full wp-image-2652\" \/><\/a><\/p>\n<p><iframe loading=\"lazy\" width=\"500\" height=\"500\" src=\"https:\/\/www.youtube.com\/embed\/nvwGpv8i7vo\" frameborder=\"0\" allowfullscreen><\/iframe><\/p>\n<p>Outer (Ring 4) of H4 in 3D with physics vertices<\/p>\n<p><a href=\"http:\/\/theoryofeverything.org\/MyToE\/?attachment_id=2614\" rel=\"attachment wp-att-2614\"><img decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/MyToE\/wp-content\/uploads\/2015\/02\/cells6004b.png\" alt=\"cells6004b\" width=\"500\" class=\"alignnone size-full wp-image-2614\" \/><\/a><\/p>\n<p>Ring 3 of H4 in 3D with physics vertices<\/p>\n<p><a href=\"http:\/\/theoryofeverything.org\/MyToE\/?attachment_id=2613\" rel=\"attachment wp-att-2613\"><img decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/MyToE\/wp-content\/uploads\/2015\/02\/cells6003b.png\" alt=\"cells6003b\" width=\"500\" class=\"alignnone size-full wp-image-2613\" \/><\/a><\/p>\n<p>Ring 2 of H4 in 3D with physics vertices<\/p>\n<p><a href=\"http:\/\/theoryofeverything.org\/MyToE\/?attachment_id=2611\" rel=\"attachment wp-att-2611\"><img decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/MyToE\/wp-content\/uploads\/2015\/02\/cells6002b.png\" alt=\"cells6002b\" width=\"500\" class=\"alignnone size-full wp-image-2611\" \/><\/a><\/p>\n<p>Inner (Ring 1) of H4\u03c6 in 3D with physics vertices<\/p>\n<p><a href=\"http:\/\/theoryofeverything.org\/MyToE\/?attachment_id=2612\" rel=\"attachment wp-att-2612\"><img decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/MyToE\/wp-content\/uploads\/2015\/02\/cells6001a.png\" alt=\"cells6001a\" width=\"500\" class=\"alignnone size-full wp-image-2612\" \/><\/a><\/p>\n<p>Combined 4 rings of H4 in 3D with physics vertices<\/p>\n<p><a href=\"http:\/\/theoryofeverything.org\/MyToE\/?attachment_id=2620\" rel=\"attachment wp-att-2620\"><img decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/MyToE\/wp-content\/uploads\/2015\/02\/cells6001234-small.png\" alt=\"cells6001234-small\" width=\"500\" class=\"alignnone size-full wp-image-2620\" \/><\/a><\/p>\n<p>Outer (Ring 4) of H4\u03c6 in 3D with physics vertices<br \/>\n<a href=\"http:\/\/theoryofeverything.org\/MyToE\/?attachment_id=2627\" rel=\"attachment wp-att-2627\"><img decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/MyToE\/wp-content\/uploads\/2015\/02\/cells6004phib.png\" alt=\"cells6004phib\" width=\"500\" class=\"alignnone size-full wp-image-2627\" \/><\/a><\/p>\n<p>Ring 3 of H4\u03c6 in 3D with physics vertices<\/p>\n<p><a href=\"http:\/\/theoryofeverything.org\/MyToE\/?attachment_id=2609\" rel=\"attachment wp-att-2609\"><img decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/MyToE\/wp-content\/uploads\/2015\/02\/cells6003phib.png\" alt=\"cells6003phib\" width=\"500\" class=\"alignnone size-full wp-image-2609\" \/><\/a><\/p>\n<p>Ring 2 of H4\u03c6 in 3D with physics vertices<\/p>\n<p><a href=\"http:\/\/theoryofeverything.org\/MyToE\/?attachment_id=2608\" rel=\"attachment wp-att-2608\"><img decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/MyToE\/wp-content\/uploads\/2015\/02\/cells6002phib.png\" alt=\"cells6002phib\" width=\"500\" class=\"alignnone size-full wp-image-2608\" \/><\/a><\/p>\n<p>Inner (Ring 1) of H4\u03c6 in 3D with physics vertices<\/p>\n<p><a href=\"http:\/\/theoryofeverything.org\/MyToE\/?attachment_id=2607\" rel=\"attachment wp-att-2607\"><img decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/MyToE\/wp-content\/uploads\/2015\/02\/cells6001phib.png\" alt=\"cells6001phib\" width=\"500\" class=\"alignnone size-full wp-image-2607\" \/><\/a><\/p>\n<p>Combined 4 rings of H4\u03c6 in 3D with physics vertices<\/p>\n<p><a href=\"http:\/\/theoryofeverything.org\/MyToE\/?attachment_id=2621\" rel=\"attachment wp-att-2621\"><img decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/MyToE\/wp-content\/uploads\/2015\/02\/cells6001234phi-small.png\" alt=\"cells6001234phi-small\" width=\"500\" class=\"alignnone size-full wp-image-2621\" \/><\/a><\/p>\n<p>Combined 8 rings in 3D with physics vertices<\/p>\n<p><a href=\"http:\/\/theoryofeverything.org\/MyToE\/?attachment_id=2622\" rel=\"attachment wp-att-2622\"><img decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/MyToE\/wp-content\/uploads\/2015\/02\/cells6001234-phi-small.png\" alt=\"cells6001234-phi-small\" width=\"500\" class=\"alignnone size-full wp-image-2622\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The Boerdijk\u2013Coxeter helix is a 4D helix (of 3D tetrahedral cells) that makes up the vertices on 4 of the concentric rings of E8 Petrie projection (or the H4 and H4\u03c6 rings of the 2 600 cells in E8). Outer (Ring 4) of H4 in 2D with non-physics vertices of all 8 rings of E8 &hellip; <a href=\"https:\/\/theoryofeverything.org\/theToE\/2015\/02\/03\/boerdijk-coxeter-helix\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Boerdijk\u2013Coxeter helix<\/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":[11,8,33,4,34,16],"class_list":["post-2576","post","type-post","status-publish","format-standard","hentry","category-physics","tag-2d","tag-3d","tag-boerdijk-coxeter","tag-e8","tag-h4","tag-physics"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/2576","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=2576"}],"version-history":[{"count":2,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/2576\/revisions"}],"predecessor-version":[{"id":3898,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/2576\/revisions\/3898"}],"wp:attachment":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/media?parent=2576"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/categories?post=2576"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/tags?post=2576"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}