{"id":3489,"date":"2015-08-26T11:46:06","date_gmt":"2015-08-26T18:46:06","guid":{"rendered":"http:\/\/theoryofeverything.org\/MyToE\/?p=3489"},"modified":"2017-10-01T10:51:55","modified_gmt":"2017-10-01T17:51:55","slug":"nested-polytopes-with-non-crystallographic-symmetry-as-projected-orbits-of-extended-coxeter","status":"publish","type":"post","link":"https:\/\/theoryofeverything.org\/theToE\/2015\/08\/26\/nested-polytopes-with-non-crystallographic-symmetry-as-projected-orbits-of-extended-coxeter\/","title":{"rendered":"Nested polytopes with non-crystallographic symmetry"},"content":{"rendered":"<p>I&#8217;ve been following an interesting paper titled <a href=\"http:\/\/arxiv.org\/abs\/1411.2115v2\">&#8220;Nested polytopes with non-crystallographic symmetry as projected orbits of extended Coxeter groups&#8221;<\/a> which has used my <a href=\"http:\/\/theoryofeverything.org\/theToE\/2013\/11\/18\/1454\/\">E8 to H4 folding matrix<\/a> as a basis for not only understanding Lie Algebras\/Groups and hyper-dimensional geometry, but also the genetic protein \/ viral structures of life (very cool)!<\/p>\n<p>The Nested Polytopes paper was first put into Arxiv in Nov of 2014 at about the same time I submitted my <a href=\"http:\/\/vixra.org\/abs\/1411.0130\">related paper on E8 to H4 folding to Vixra<\/a>. I created this paper in response to discovering that my Rhombic Triacontahedron \/ QuasiCrystal (<a href=\"http:\/\/theoryofeverything.org\/theToE\/2015\/01\/25\/d6-projected-to-3d-using-the-e8-to-h4-folding-matrix\/\">D6 projected to 3D using  the E8 to H4 Folding Matrix<\/a> to E8 to H4 folding) work on Wikipedia and this website was being used by Pierre-Philippe Dechant, John Baez and Greg Egan.<\/p>\n<p>The Nested Polytopes paper has since undergone 4 revisions. The first three seemed to be typical (even minor) tweaks, but with a different author list\/order in each. Yet, the latest (V4) seems to have a massive change, different author list and a completely different title &#8220;Orbits of crystallographic embedding of non-crystallographic groups and applications to virology&#8221;.<\/p>\n<p>While I KNOW they were aware of my work, I wasn&#8217;t really surprised they never referenced it &#8211; as it isn&#8217;t published in academic press. I AM a bit surprised by the extensive changes to a single paper on arxiv. They have removed some of the E8 \/H4 references (ref: Koca) and added completely different sources. Makes you wonder what&#8217;s up with that?<\/p>\n<p><a href=\"http:\/\/theoryofeverything.org\/MyToE\/?attachment_id=1486\" rel=\"attachment wp-att-1486\"><img decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/MyToE\/wp-content\/uploads\/2013\/11\/E8-8D-Polytopes-2.jpg\" alt=\"E8-8D-Polytopes-2\" width=\"500\" class=\"alignnone size-full wp-image-1486\" \/><\/a><\/p>\n<p><a href=\"http:\/\/theoryofeverything.org\/MyToE\/?attachment_id=1499\" rel=\"attachment wp-att-1499\"><img decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/MyToE\/wp-content\/uploads\/2013\/11\/E8-6D-StarPolytopes-2.jpg\" alt=\"E8-6D-StarPolytopes-2\" width=\"500\" class=\"alignnone size-full wp-image-1499\" \/><\/a><\/p>\n<p><a href=\"http:\/\/theoryofeverything.org\/MyToE\/?attachment_id=1489\" rel=\"attachment wp-att-1489\"><img decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/MyToE\/wp-content\/uploads\/2013\/11\/E8-4D-Polychora-2.jpg\" alt=\"E8-4D-Polychora-2\" width=\"500\" class=\"alignnone size-full wp-image-1489\" \/><\/a><\/p>\n<p><a href=\"http:\/\/theoryofeverything.org\/MyToE\/?attachment_id=2157\" rel=\"attachment wp-att-2157\"><img decoding=\"async\" src=\"http:\/\/theoryofeverything.org\/MyToE\/wp-content\/uploads\/2014\/11\/E8-3D-Platonic-2.png\" alt=\"E8-3D-Platonic-2\" width=\"500\" class=\"alignnone size-full wp-image-2157\" \/><\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>I&#8217;ve been following an interesting paper titled &#8220;Nested polytopes with non-crystallographic symmetry as projected orbits of extended Coxeter groups&#8221; which has used my E8 to H4 folding matrix as a basis for not only understanding Lie Algebras\/Groups and hyper-dimensional geometry, but also the genetic protein \/ viral structures of life (very cool)! The Nested Polytopes &hellip; <a href=\"https:\/\/theoryofeverything.org\/theToE\/2015\/08\/26\/nested-polytopes-with-non-crystallographic-symmetry-as-projected-orbits-of-extended-coxeter\/\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Nested polytopes with non-crystallographic symmetry<\/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":[2],"tags":[4,34,35],"class_list":["post-3489","post","type-post","status-publish","format-standard","hentry","category-personal","tag-e8","tag-h4","tag-quasicrystals"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/3489","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=3489"}],"version-history":[{"count":4,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/3489\/revisions"}],"predecessor-version":[{"id":4597,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/3489\/revisions\/4597"}],"wp:attachment":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/media?parent=3489"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/categories?post=3489"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/tags?post=3489"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}