{"id":2190,"date":"2009-01-08T10:36:15","date_gmt":"2009-01-08T18:36:15","guid":{"rendered":"http:\/\/www.ogre.nu\/wp\/?p=2190"},"modified":"2009-01-08T10:36:15","modified_gmt":"2009-01-08T18:36:15","slug":"circles-in-ellipses","status":"publish","type":"post","link":"https:\/\/bendwavy.org\/wp\/?p=2190","title":{"rendered":"circles in ellipses"},"content":{"rendered":"<p><a href=\"http:\/\/www.packomania.com\/\">Many<\/a> <a href=\"http:\/\/www.stetson.edu\/~efriedma\/packing.html\">people<\/a> <a href=\"http:\/\/www.buddenbooks.com\/jb\/pack\/pack.htm\">have<\/a> <a href=\"http:\/\/www.ics.uci.edu\/~eppstein\/junkyard\/spherepack.html\">worked<\/a> on the problem of packing equal circles efficiently in various regular shapes.  David Cantrell asks, what is the <a href=\"http:\/\/www.stetson.edu\/~efriedma\/cirinel\/\">ellipse of least area that can enclose <i>n<\/i> unit circles<\/a>?  Sometimes it&#8217;s a circle (<i>n<\/i>=1,7,19), sometimes it&#8217;s highly eccentric (<i>n<\/i>=23).  Several of the results are rather pretty.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Many people have worked on the problem of packing equal circles efficiently in various regular shapes. David Cantrell asks, what is the ellipse of least area that can enclose n unit circles? Sometimes it&#8217;s a circle (n=1,7,19), sometimes it&#8217;s highly &hellip; <a href=\"https:\/\/bendwavy.org\/wp\/?p=2190\">Continue reading <span class=\"meta-nav\">&rarr;<\/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":[12],"tags":[],"class_list":["post-2190","post","type-post","status-publish","format-standard","hentry","category-mathematics"],"_links":{"self":[{"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=\/wp\/v2\/posts\/2190","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=2190"}],"version-history":[{"count":1,"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=\/wp\/v2\/posts\/2190\/revisions"}],"predecessor-version":[{"id":2191,"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=\/wp\/v2\/posts\/2190\/revisions\/2191"}],"wp:attachment":[{"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=2190"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=2190"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bendwavy.org\/wp\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=2190"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}