{"id":1049,"date":"2003-08-11T22:51:11","date_gmt":"2003-08-12T06:51:11","guid":{"rendered":"http:\/\/www.ogre.nu\/wp\/?p=1049"},"modified":"2004-10-25T19:55:55","modified_gmt":"2004-10-26T03:55:55","slug":"naming-the-polytopes","status":"publish","type":"post","link":"https:\/\/bendwavy.org\/wp\/?p=1049","title":{"rendered":"naming the polytopes"},"content":{"rendered":"<p>The Pythagoreans, legend has it, saw each of the regular solids as a symbol of one of the elements: tetrahedron <i>fire<\/i>, octahedron <i>air<\/i>, icosahedron <i>water<\/i>, cube <i>earth<\/i> &#8212; leaving the dodecahedron to stand for the universe, or quintessence, or spirit.  It&#8217;s rather a pity that they weren&#8217;t so named, <i>pyromorph, aeromorph, hydromorph, geomorph, cosmomorph<\/i>; the nomenclature of the other uniform polytopes (particularly those of four dimensions) would be somewhat cleaner.<\/p>\n<p><strong>2004 Oct 04:<\/strong> It is a charming coincidence that <a href=\"http:\/\/luth2.obspm.fr\/Compress\/oct03_lum.en.html\">the cosmos was briefly<\/a> <a href=\"http:\/\/luth2.obspm.fr\/~luminet\/compressnature.html\">suspected of being cosmomorphic<\/a>.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>The Pythagoreans, legend has it, saw each of the regular solids as a symbol of one of the elements: tetrahedron fire, octahedron air, icosahedron water, cube earth &#8212; leaving the dodecahedron to stand for the universe, or quintessence, or spirit. &hellip; <a href=\"https:\/\/bendwavy.org\/wp\/?p=1049\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13,8],"tags":[],"class_list":["post-1049","post","type-post","status-publish","format-standard","hentry","category-humanities","category-sciences"],"_links":{"self":[{"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=\/wp\/v2\/posts\/1049","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1049"}],"version-history":[{"count":0,"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=\/wp\/v2\/posts\/1049\/revisions"}],"wp:attachment":[{"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1049"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1049"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1049"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}