{"id":956,"date":"2003-06-04T20:03:21","date_gmt":"2003-06-05T04:03:21","guid":{"rendered":"http:\/\/www.ogre.nu\/wp\/?p=956"},"modified":"2005-08-05T21:40:49","modified_gmt":"2005-08-06T05:40:49","slug":"spheres-subtracted","status":"publish","type":"post","link":"https:\/\/bendwavy.org\/wp\/?p=956","title":{"rendered":"spheres subtracted"},"content":{"rendered":"<p><img decoding=\"async\" align=right src=\"\/doodle\/notknot.jpg\" alt=\"ideal rhombic dodecahedron\"> Hyperbolic geometry, provoked by <a href=\"http:\/\/www.geom.uiuc.edu\/video\/NotKnot\/\">&#8220;Not Knot&#8221;<\/a>.  The shape at the end of that show is an ideal rhombic dodecahedron (&lsquo;ideal&rsquo; means some of its vertices are at infinity) seen from inside; here it is seen from outside, in the Poincar&eacute; model.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Hyperbolic geometry, provoked by &#8220;Not Knot&#8221;. The shape at the end of that show is an ideal rhombic dodecahedron (&lsquo;ideal&rsquo; means some of its vertices are at infinity) seen from inside; here it is seen from outside, in the Poincar&eacute; &hellip; <a href=\"https:\/\/bendwavy.org\/wp\/?p=956\">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":[12],"tags":[],"class_list":["post-956","post","type-post","status-publish","format-standard","hentry","category-mathematics"],"_links":{"self":[{"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=\/wp\/v2\/posts\/956","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=956"}],"version-history":[{"count":0,"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=\/wp\/v2\/posts\/956\/revisions"}],"wp:attachment":[{"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=956"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=956"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=956"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}