{"id":6140,"date":"2023-07-26T10:53:19","date_gmt":"2023-07-26T17:53:19","guid":{"rendered":"https:\/\/theoryofeverything.org\/theToE\/?p=6140"},"modified":"2025-02-28T10:18:41","modified_gmt":"2025-02-28T17:18:41","slug":"disdyakis-triacontahedron-coordinates","status":"publish","type":"post","link":"https:\/\/theoryofeverything.org\/theToE\/2023\/07\/26\/disdyakis-triacontahedron-coordinates\/","title":{"rendered":"Disdyakis Triacontahedron Coordinates"},"content":{"rendered":"\n<p>I discovered an error in the WP article on the <a href=\"https:\/\/en.wikipedia.org\/wiki\/Disdyakis_triacontahedron\" title=\"\">Disdyakis Triacontahedron<\/a>. It seemed the scaling factor for determining the coordinates of the Icosidodecahedron hull was added and changed without any citation references. Since the factor seemed off, I analyzed it using the Koca, Mehmet&#8217;s <a href=\"https:\/\/arxiv.org\/abs\/0908.3272\" title=\"\">paper <\/a>and <a href=\"https:\/\/mathworld.wolfram.com\/about\/author.html\">Weisstein, Eric W.<\/a>&nbsp;&#8220;Disdyakis Triacontahedron.&#8221; From&nbsp;<a href=\"https:\/\/mathworld.wolfram.com\/\"><em>MathWorld<\/em><\/a>&#8211;A Wolfram Web Resource.&nbsp;<a href=\"https:\/\/mathworld.wolfram.com\/DisdyakisTriacontahedron.html\">https:\/\/mathworld.wolfram.com\/DisdyakisTriacontahedron.html<\/a><\/p>\n\n\n\n<p>Please see this Mathematica Notebook for the results <a href=\"https:\/\/theoryofeverything.org\/TOE\/JGM\/Disdyakis%20Triacontahedron%20Coordinates.nb\" target=\"_blank\" rel=\"noopener\" title=\"\">here <\/a>or the PDF <a href=\"https:\/\/theoryofeverything.org\/TOE\/JGM\/Disdyakis%20Triacontahedron%20Coordinates.pdf\" target=\"_blank\" rel=\"noopener\" title=\"\">here<\/a>. <\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"967\" height=\"426\" src=\"https:\/\/theoryofeverything.org\/theToE\/wp-content\/uploads\/2023\/07\/Disdyakis-Triacontahedron-Hulls-2.png\" alt=\"\" class=\"wp-image-6149\" srcset=\"https:\/\/theoryofeverything.org\/theToE\/wp-content\/uploads\/2023\/07\/Disdyakis-Triacontahedron-Hulls-2.png 967w, https:\/\/theoryofeverything.org\/theToE\/wp-content\/uploads\/2023\/07\/Disdyakis-Triacontahedron-Hulls-2-500x220.png 500w\" sizes=\"auto, (max-width: 967px) 100vw, 967px\" \/><\/figure>\n\n\n\n<p>Below is the SVG image of the notebook.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/theoryofeverything.org\/TOE\/JGM\/Disdyakis%20Triacontahedron%20Coordinates.svg\" target=\"_blank\" rel=\"noreferrer noopener\"><img decoding=\"async\" src=\"https:\/\/theoryofeverything.org\/TOE\/JGM\/Disdyakis%20Triacontahedron%20Coordinates.svg\" alt=\"\"\/><\/a><\/figure>\n\n\n\n<p>Greg Moxness, Tucson AZ<\/p>\n","protected":false},"excerpt":{"rendered":"<p>I discovered an error in the WP article on the Disdyakis Triacontahedron. It seemed the scaling factor for determining the coordinates of the Icosidodecahedron hull was added and changed without any citation references. Since the factor seemed off, I analyzed it using the Koca, Mehmet&#8217;s paper and Weisstein, Eric W.&nbsp;&#8220;Disdyakis Triacontahedron.&#8221; From&nbsp;MathWorld&#8211;A Wolfram Web Resource.&nbsp;https:\/\/mathworld.wolfram.com\/DisdyakisTriacontahedron.html &hellip; <a href=\"https:\/\/theoryofeverything.org\/theToE\/2023\/07\/26\/disdyakis-triacontahedron-coordinates\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Disdyakis Triacontahedron Coordinates<\/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":"standard","meta":{"footnotes":""},"categories":[3],"tags":[8,14],"class_list":["post-6140","post","type-post","status-publish","format-standard","hentry","category-physics","tag-3d","tag-math"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/6140","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=6140"}],"version-history":[{"count":8,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/6140\/revisions"}],"predecessor-version":[{"id":6309,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/6140\/revisions\/6309"}],"wp:attachment":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/media?parent=6140"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/categories?post=6140"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/tags?post=6140"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}