{"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":"http:\/\/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":"

I’ve been following an interesting paper titled “Nested polytopes with non-crystallographic symmetry as projected orbits of extended Coxeter groups”<\/a> which has used my 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

The Nested Polytopes paper was first put into Arxiv in Nov of 2014 at about the same time I submitted my related paper on E8 to H4 folding to Vixra<\/a>. I created this paper in response to discovering that my Rhombic Triacontahedron \/ QuasiCrystal (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

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 “Orbits of crystallographic embedding of non-crystallographic groups and applications to virology”.<\/p>\n

While I KNOW they were aware of my work, I wasn’t really surprised they never referenced it – as it isn’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’s up with that?<\/p>\n

\"E8-8D-Polytopes-2\"<\/a><\/p>\n

\"E8-6D-StarPolytopes-2\"<\/a><\/p>\n

\"E8-4D-Polychora-2\"<\/a><\/p>\n

\"E8-3D-Platonic-2\"<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

I’ve been following an interesting paper titled “Nested polytopes with non-crystallographic symmetry as projected orbits of extended Coxeter groups” 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 … Continue reading Nested polytopes with non-crystallographic symmetry<\/span> →<\/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":[],"aioseo_head":"\n\t\t\n\t\n\t\n\t\n\t\n\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t\n\t\t