{"id":3891,"date":"2009-10-21T03:00:19","date_gmt":"2009-10-21T08:00:19","guid":{"rendered":"http:\/\/blogs.scienceforums.net\/swansont\/?p=3891"},"modified":"2009-10-21T03:00:19","modified_gmt":"2009-10-21T08:00:19","slug":"renaissance-wrestling","status":"publish","type":"post","link":"http:\/\/blogs.scienceforums.net\/swansont\/archives\/3891","title":{"rendered":"Renaissance Wrestling"},"content":{"rendered":"<p>Via the <a href=\"http:\/\/quichemoraine.com\/2009\/10\/1848\/\">Giant&#8217;s Shoulders #16<\/a>, I found <a href=\"http:\/\/arcsecond.wordpress.com\/2009\/10\/09\/the-renaissance-man-uniform-gravitational-acceleration-smackdown\/\">Arcsecond: The Renaissance Man Uniform Gravitational Acceleration SMACKDOWN<\/a><\/p>\n<p>The post is interestig enough, but what really got me was the following pictoral representation of perfect squares:<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"http:\/\/blogs.scienceforums.net\/swansont\/files\/2009\/10\/267image3.gif\" alt=\"267image3\" width=\"463\" height=\"343\" class=\"alignnone size-full wp-image-3895\" \/><\/p>\n<p>If you keep adding up the odd numbers, you get the next perfect square (i.e. sum the quantity (2i-1, from 1 to k, and you get k^2).  You see this by adding a new &#8220;L&#8221; of dots to the previous square, which always has 2 more dots that the previous one, i.e. it&#8217;s the next odd number in the sequence, and it makes a new square.<\/p>\n<p>That is so cool!  If I had previously known this, I had forgotten it.  And I can easily imagine this being taught to me ages ago, and not making quite the same impression because I couldn&#8217;t fully appreciate the elegance of it.   <\/p>\n","protected":false},"excerpt":{"rendered":"<p>Via the Giant&#8217;s Shoulders #16, I found Arcsecond: The Renaissance Man Uniform Gravitational Acceleration SMACKDOWN The post is interestig enough, but what really got me was the following pictoral representation of perfect squares: If you keep adding up the odd &hellip; <a href=\"http:\/\/blogs.scienceforums.net\/swansont\/archives\/3891\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[21,28,39],"tags":[],"class_list":["post-3891","post","type-post","status-publish","format-standard","hentry","category-history","category-math","category-physics"],"_links":{"self":[{"href":"http:\/\/blogs.scienceforums.net\/swansont\/wp-json\/wp\/v2\/posts\/3891","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/blogs.scienceforums.net\/swansont\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/blogs.scienceforums.net\/swansont\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/blogs.scienceforums.net\/swansont\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/blogs.scienceforums.net\/swansont\/wp-json\/wp\/v2\/comments?post=3891"}],"version-history":[{"count":0,"href":"http:\/\/blogs.scienceforums.net\/swansont\/wp-json\/wp\/v2\/posts\/3891\/revisions"}],"wp:attachment":[{"href":"http:\/\/blogs.scienceforums.net\/swansont\/wp-json\/wp\/v2\/media?parent=3891"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/blogs.scienceforums.net\/swansont\/wp-json\/wp\/v2\/categories?post=3891"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/blogs.scienceforums.net\/swansont\/wp-json\/wp\/v2\/tags?post=3891"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}