{"id":6066,"date":"2023-04-08T18:53:34","date_gmt":"2023-04-09T01:53:34","guid":{"rendered":"http:\/\/theoryofeverything.org\/theToE\/?p=6066"},"modified":"2023-10-07T06:34:21","modified_gmt":"2023-10-07T13:34:21","slug":"comparing-two-different-5-cell-cartesian-coordinate-sets","status":"publish","type":"post","link":"https:\/\/theoryofeverything.org\/theToE\/2023\/04\/08\/comparing-two-different-5-cell-cartesian-coordinate-sets\/","title":{"rendered":"Comparing two different 5-Cell  Cartesian Coordinate sets"},"content":{"rendered":"\n<p>This is to support an analysis of the 4D polytope called the 5-Cell. For more of the context, there is discussion on the Wikipedia Talk page for the 5-Cell <a href=\"https:\/\/en.wikipedia.org\/wiki\/Talk:5-cell#Coordinates\" target=\"_blank\" rel=\"noopener\" title=\"\">here<\/a>.  I created a visualization of the these. Click <a href=\"https:\/\/theoryofeverything.org\/TOE\/JGM\/Comparing hyperpyramid to translated simplest 5-cell.nb\" target=\"_blank\" rel=\"noopener\" title=\"\">here<\/a> for the Mathematica Notebook or see the image below:<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/theoryofeverything.org\/TOE\/JGM\/Comparing hyperpyramid to translated simplest 5-cell.svg\" target=\"_blank\" rel=\"noreferrer noopener\"><img decoding=\"async\" src=\"https:\/\/theoryofeverything.org\/TOE\/JGM\/Comparing hyperpyramid to translated simplest 5-cell.svg\" alt=\"\"\/><\/a><\/figure>\n\n\n\n<p>Greg Moxness<\/p>\n","protected":false},"excerpt":{"rendered":"<p>This is to support an analysis of the 4D polytope called the 5-Cell. For more of the context, there is discussion on the Wikipedia Talk page for the 5-Cell here. I created a visualization of the these. Click here for the Mathematica Notebook or see the image below: Greg Moxness<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[8,13,14],"class_list":["post-6066","post","type-post","status-publish","format-standard","hentry","category-physics","tag-3d","tag-4d","tag-math"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/6066","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=6066"}],"version-history":[{"count":5,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/6066\/revisions"}],"predecessor-version":[{"id":6303,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/6066\/revisions\/6303"}],"wp:attachment":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/media?parent=6066"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/categories?post=6066"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/tags?post=6066"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}