{"id":1475,"date":"2004-10-24T23:09:32","date_gmt":"2004-10-25T07:09:32","guid":{"rendered":"http:\/\/www.ogre.nu\/wp\/?p=1475"},"modified":"2005-11-06T19:35:24","modified_gmt":"2005-11-07T03:35:24","slug":"squished-hypertorus","status":"publish","type":"post","link":"https:\/\/bendwavy.org\/wp\/?p=1475","title":{"rendered":"squished hypertorus"},"content":{"rendered":"


\nThis is intended to be an orthographic projection of a stereographic projection from S5 (the five-dimensional surface of a sphere in six-dimensional space) into E5 (flat five-space) of the cartesian product S2 × S2, a kind of torus. The colors represent the three suppressed dimensions.<\/p>\n

I did not expect it to look like this, but then, I did not know what to expect.<\/p>\n","protected":false},"excerpt":{"rendered":"

This is intended to be an orthographic projection of a stereographic projection from S5 (the five-dimensional surface of a sphere in six-dimensional space) into E5 (flat five-space) of the cartesian product S2 × S2, a kind of torus. The colors … Continue reading →<\/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":[16,12],"tags":[],"class_list":["post-1475","post","type-post","status-publish","format-standard","hentry","category-eye-candy","category-mathematics"],"_links":{"self":[{"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=\/wp\/v2\/posts\/1475","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\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1475"}],"version-history":[{"count":0,"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=\/wp\/v2\/posts\/1475\/revisions"}],"wp:attachment":[{"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1475"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1475"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1475"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}