{"id":214059,"date":"2025-05-14T21:07:11","date_gmt":"2025-05-15T02:07:11","guid":{"rendered":"https:\/\/lifeboat.com\/blog\/2025\/05\/600-cell"},"modified":"2025-05-14T21:07:11","modified_gmt":"2025-05-15T02:07:11","slug":"600-cell","status":"publish","type":"post","link":"https:\/\/lifeboat.com\/blog\/2025\/05\/600-cell","title":{"rendered":"600-cell"},"content":{"rendered":"<p><a class=\"aligncenter blog-photo\" href=\"https:\/\/lifeboat.com\/blog.images\/600-cell2.jpg\"><\/a><\/p>\n<p>In <a href=\"https:\/\/en.wikipedia.org\/wiki\/Geometry\" title=\"Geometry\">geometry<\/a>, the is the <a href=\"https:\/\/en.wikipedia.org\/wiki\/Convex_regular_4-polytope\" class=\"\" title=\"Convex regular 4-polytope\">convex regular 4-polytope<\/a> (four-dimensional analogue of a <a href=\"https:\/\/en.wikipedia.org\/wiki\/Platonic_solid\" title=\"Platonic solid\">Platonic solid<\/a>) with <a href=\"https:\/\/en.wikipedia.org\/wiki\/Schl%C3%A4fli_symbol\" title=\"Schl\u00e4fli symbol\">Schl\u00e4fli symbol<\/a> {3,3,5}. It is also known as the <b>C<sub>600<\/sub><\/b>, <b>hexacosichoron<\/b><sup id=\u201d cite_ref-1\u201d class=\u201d reference\u201d><a href=\"https:\/\/en.wikipedia.org\/wiki\/600-cell#cite_note-1\"> [ 1 ]<\/a> <\/sup> and <b>hexacosihedroid<\/b>.<sup id=\u201d cite_ref-2\u201d class=\u201d reference\u201d><a href=\"https:\/\/en.wikipedia.org\/wiki\/600-cell#cite_note-2\"> [ 2 ]<\/a> <\/sup> It is also called a <b>tetraplex<\/b> (abbreviated from \u201ctetrahedral complex\u201d) and a <b><a href=\"https:\/\/en.wikipedia.org\/wiki\/Polytetrahedron\" title=\"Polytetrahedron\">polytetrahedron<\/a><\/b>, being bounded by tetrahedral <a href=\"https:\/\/en.wikipedia.org\/wiki\/Cell_(geometry)\" class=\"\" title=\"Cell (geometry)\">cells<\/a>.<\/p>\n<p>The boundary is composed of 600 <a href=\"https:\/\/en.wikipedia.org\/wiki\/Tetrahedron\" title=\"Tetrahedron\">tetrahedral<\/a> <a href=\"https:\/\/en.wikipedia.org\/wiki\/Cell_(mathematics)\" class=\"\" title=\"Cell (mathematics)\">cells<\/a> with 20 meeting at each vertex. Together they form 1,200 triangular faces, 720 edges, and 120 vertices. It is the 4-<a href=\"https:\/\/en.wikipedia.org\/wiki\/Four-dimensional_space#Dimensional_analogy\" title=\"Four-dimensional space\">dimensional analogue<\/a> of the <a href=\"https:\/\/en.wikipedia.org\/wiki\/Icosahedron\" title=\"Icosahedron\">icosahedron<\/a>, since it has five <a href=\"https:\/\/en.wikipedia.org\/wiki\/Tetrahedron\" title=\"Tetrahedron\">tetrahedra<\/a> meeting at every edge, just as the icosahedron has five <a href=\"https:\/\/en.wikipedia.org\/wiki\/Triangle\" title=\"Triangle\">triangles<\/a> meeting at every vertex. Its <a href=\"https:\/\/en.wikipedia.org\/wiki\/Dual_polytope\" class=\"\" title=\"Dual polytope\">dual polytope<\/a> is the <a href=\"https:\/\/en.wikipedia.org\/wiki\/120-cell\" title=\"120-cell\">120-cell<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In geometry, the is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schl\u00e4fli symbol {3,3,5}. It is also known as the C600, hexacosichoron [ 1 ] and hexacosihedroid. [ 2 ] It is also called a tetraplex (abbreviated from \u201ctetrahedral complex\u201d) and a polytetrahedron, being bounded by tetrahedral cells. The boundary is [\u2026]<\/p>\n","protected":false},"author":709,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[20],"tags":[],"class_list":["post-214059","post","type-post","status-publish","format-standard","hentry","category-futurism"],"_links":{"self":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/214059","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/users\/709"}],"replies":[{"embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/comments?post=214059"}],"version-history":[{"count":0,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/posts\/214059\/revisions"}],"wp:attachment":[{"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/media?parent=214059"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/categories?post=214059"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/lifeboat.com\/blog\/wp-json\/wp\/v2\/tags?post=214059"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}