{"id":7797,"date":"2026-02-21T15:21:08","date_gmt":"2026-02-21T22:21:08","guid":{"rendered":"https:\/\/theoryofeverything.org\/theToE\/?p=7797"},"modified":"2026-02-22T08:20:22","modified_gmt":"2026-02-22T15:20:22","slug":"jonathan-kirks-convex-regular-faced-crf-polytope","status":"publish","type":"post","link":"https:\/\/theoryofeverything.org\/theToE\/2026\/02\/21\/jonathan-kirks-convex-regular-faced-crf-polytope\/","title":{"rendered":"Jonathan Kirk’s Convex Regular Faced (CRF) Polytope"},"content":{"rendered":"
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Links to information on this object are here<\/a> and here<\/a>.<\/p>\n\n\n

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Jonathan Kirk’s CRF coordinate permutation<\/figcaption><\/figure>\n<\/div>\n\n\n

This post used a symbolic permutation list provided in the “rf-poytopes” Polytope Discord discussion thread to produce the Coxeter’s (cell-first, vertex-first, edge-first, and face-first) “simplified” sections shown below.<\/p>\n\n\n\n

You can navigate the matrices of links below or simply download the ZIP files for the SVG sectioning for Jonathan Kirk’s Convex Regular Face (CRF) here<\/a> (40 Mb). The overall convex hull of the cell-first sectioning is similar to, but not the same as, a (496-diminished form of) the H4 BiRectified 600-cell (sectioning of that is shown here<\/a>).<\/p>\n\n\n

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Overall Convex Hull of the H4 BiRectified 600-cell <\/figcaption><\/figure>\n<\/div>\n\n\n

For high quality 3D interactive Mathematica Notebook (NB), and SVG or PDF files, you can download them here: NB<\/a> SVG<\/a>  PDF<\/a><\/p>\n\n\n

SVG section visualizations:<\/h1>\n

Orientations for Jonathan Kirk’s\u00a0 CRF SVG section file links:<\/h2>\n

\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Cell\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Vertex\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Edge\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Face<\/p>\n

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MP3 section animations:<\/h1>\n

Orientations for Jonathan Kirk’s CRF MP3 section animation file links:<\/h2>\n

\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Cell\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 Vertex\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Edge\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0Face<\/p>\n

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Links to information on this object are here and here. This post used a symbolic permutation list provided in the “rf-poytopes” Polytope Discord discussion thread to produce the Coxeter’s (cell-first, vertex-first, edge-first, and face-first) “simplified” sections shown below. You can navigate the matrices of links below or simply download the ZIP files for the SVG … Continue reading Jonathan Kirk’s Convex Regular Faced (CRF) Polytope<\/span> →<\/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":[],"class_list":["post-7797","post","type-post","status-publish","format-standard","hentry","category-physics"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/7797","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=7797"}],"version-history":[{"count":15,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/7797\/revisions"}],"predecessor-version":[{"id":7820,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/posts\/7797\/revisions\/7820"}],"wp:attachment":[{"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/media?parent=7797"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/categories?post=7797"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/theoryofeverything.org\/theToE\/wp-json\/wp\/v2\/tags?post=7797"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}