{"id":28515,"date":"2021-11-04T10:41:41","date_gmt":"2021-11-04T14:41:41","guid":{"rendered":"https:\/\/blog.carlrobitaille.org\/?p=28515"},"modified":"2021-11-04T10:41:44","modified_gmt":"2021-11-04T14:41:44","slug":"1%c2%b32%c2%b33%c2%b34%c2%b35%c2%b36%c2%b3-n%c2%b3123456-n%c2%b2","status":"publish","type":"post","link":"https:\/\/blog.carlrobitaille.org\/?p=28515","title":{"rendered":"1\u00b3+2\u00b3+3\u00b3+4\u00b3+5\u00b3+6\u00b3+&#8230;+n\u00b3=(1+2+3+4+5+6+&#8230;+n)\u00b2"},"content":{"rendered":"\n<figure class=\"wp-block-embed is-type-rich is-provider-twitter wp-block-embed-twitter\"><div class=\"wp-block-embed__wrapper\">\n<blockquote class=\"twitter-tweet\" data-width=\"550\" data-dnt=\"true\"><p lang=\"en\" dir=\"ltr\">1\u00b3+2\u00b3+3\u00b3+4\u00b3+5\u00b3+6\u00b3+&#8230;+n\u00b3=(1+2+3+4+5+6+&#8230;+n)\u00b2<br><br>Proof:<br>Arranging 1\u00b3+2\u00b3+3\u00b3+4\u00b3+5\u00b3+6\u00b3+&#8230;+n\u00b3 in the plane: 1&#215;1\u00b2+2&#215;2\u00b2+3&#215;3\u00b2+4&#215;4\u00b2+5&#215;5\u00b2+6&#215;6\u00b2+&#8230;+nxn\u00b2<br>The even squares overlap (\ud83d\udfe8) but also leave uncovered gaps (\ud83d\udfe5) and \ud83d\udfe8=\ud83d\udfe5 <a href=\"https:\/\/t.co\/To8e3DlW6a\">pic.twitter.com\/To8e3DlW6a<\/a><\/p>&mdash; Fermat&#39;s Library (@fermatslibrary) <a href=\"https:\/\/twitter.com\/fermatslibrary\/status\/1450815326476713986?ref_src=twsrc%5Etfw\">October 20, 2021<\/a><\/blockquote><script async src=\"https:\/\/platform.twitter.com\/widgets.js\" charset=\"utf-8\"><\/script>\n<\/div><\/figure>\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[19],"tags":[],"class_list":["post-28515","post","type-post","status-publish","format-standard","hentry","category-mathematiques"],"_links":{"self":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/28515","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=28515"}],"version-history":[{"count":1,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/28515\/revisions"}],"predecessor-version":[{"id":28516,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=\/wp\/v2\/posts\/28515\/revisions\/28516"}],"wp:attachment":[{"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=28515"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=28515"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.carlrobitaille.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=28515"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}