{"id":5744,"date":"2018-03-14T09:30:38","date_gmt":"2018-03-14T16:30:38","guid":{"rendered":"https:\/\/punyamishra.com\/?p=5744"},"modified":"2022-07-23T07:52:02","modified_gmt":"2022-07-23T14:52:02","slug":"squaring-a-circle-on-%cf%80-day","status":"publish","type":"post","link":"https:\/\/punyamishra.com\/2018\/03\/14\/squaring-a-circle-on-%cf%80-day\/","title":{"rendered":"Squaring a circle on Pi day!"},"content":{"rendered":"\n<p class=\"has-text-align-center\"><em>Pie upon reflection is nothing but 3.14!<br>A new version of a design I had created a year ago.<br>Original idea stolen from the Interwebs<\/em><\/p>\n\n\n\n<p>Since it is&nbsp;<span class=\"texhtml\"><em>Pi<\/em>(e)&nbsp;<\/span>day, I thought it would be fun to share another design I had created a while ago in response to one of the longest running challenges in geometry: <strong>the challenge of squaring a circle<\/strong>. As <a href=\"https:\/\/en.wikipedia.org\/wiki\/Squaring_the_circle\">wikipedia<\/a> says:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote\"><p><strong>Squaring the circle<\/strong>&nbsp;is a problem proposed by&nbsp;ancient&nbsp;geometers. It is the challenge of constructing a&nbsp;square with the same area as a given&nbsp;circle&nbsp;by using only a finite number of steps with&nbsp;compass and straightedge.<\/p><\/blockquote>\n\n\n\n<p>Turns out this is impossible to do\u2014and the main reason are the fascinating properties of the number <em>Pi<\/em><span class=\"texhtml\">. More on that <a href=\"https:\/\/en.wikipedia.org\/wiki\/Squaring_the_circle#Impossibility\">here<\/a>. As Wikipedia goes on to say:<\/span><\/p>\n\n\n\n<blockquote class=\"wp-block-quote\"><p>The transcendence of pi implies the impossibility of exactly &#8220;circling&#8221; the square, as well as of squaring the circle.<\/p><\/blockquote>\n\n\n\n<p>This is why &#8220;squaring the circle&#8221; has come to represent trying the impossible.<\/p>\n\n\n\n<p>Impossible you say? Hah! I laugh at the face of such odds.<\/p>\n\n\n\n<p>I am here to announce that after thousands of years of failure I have finally done what no one has ever done before &#8211; I have squared a circle. Not just that, I have gone one step further, I have also circled a square. The proof is in the pudding-pie you say! Well see for yourself. The design below should be self-explanatory.<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter is-style-default\"><a href=\"https:\/\/punyamishra.com\/wp-content\/uploads\/2018\/03\/square-circle.png\"><img loading=\"lazy\" decoding=\"async\" width=\"532\" height=\"534\" src=\"https:\/\/punyamishra.com\/wp-content\/uploads\/2018\/03\/square-circle.png\" alt=\"\" class=\"wp-image-5746\" srcset=\"https:\/\/punyamishra.com\/wp-content\/uploads\/2018\/03\/square-circle.png 532w, https:\/\/punyamishra.com\/wp-content\/uploads\/2018\/03\/square-circle-150x150.png 150w, https:\/\/punyamishra.com\/wp-content\/uploads\/2018\/03\/square-circle-300x300.png 300w\" sizes=\"(max-width: 532px) 100vw, 532px\" \/><\/a><\/figure>\n\n\n\n<p class=\"has-text-align-center\"><em>Squaring a circle by circling a square<\/em><\/p>\n\n\n\n<p>The square in the middle is actually a circle and the circle outside is actually a square! Or is it the circle inside is actually a square or the square outside is actually &#8230;? Hmmm&#8230; Either way, <strong>Happy Pi Day<\/strong>!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Pie upon reflection is nothing but 3.14!A new version of a design I had created a year ago.Original idea stolen from the Interwebs Since it is&nbsp;Pi(e)&nbsp;day, I thought it would be fun to share another design I had created a while ago in response to one of the longest running challenges in geometry: the challenge [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":5745,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","_exactmetrics_skip_tracking":false,"_exactmetrics_sitenote_active":false,"_exactmetrics_sitenote_note":"","_exactmetrics_sitenote_category":0,"footnotes":""},"categories":[633,21,30,10,11,5,37,9,35,15,42,29,49],"tags":[],"_links":{"self":[{"href":"https:\/\/punyamishra.com\/wp-json\/wp\/v2\/posts\/5744"}],"collection":[{"href":"https:\/\/punyamishra.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/punyamishra.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/punyamishra.com\/wp-json\/wp\/v2\/users\/7"}],"replies":[{"embeddable":true,"href":"https:\/\/punyamishra.com\/wp-json\/wp\/v2\/comments?post=5744"}],"version-history":[{"count":4,"href":"https:\/\/punyamishra.com\/wp-json\/wp\/v2\/posts\/5744\/revisions"}],"predecessor-version":[{"id":8922,"href":"https:\/\/punyamishra.com\/wp-json\/wp\/v2\/posts\/5744\/revisions\/8922"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/punyamishra.com\/wp-json\/wp\/v2\/media\/5745"}],"wp:attachment":[{"href":"https:\/\/punyamishra.com\/wp-json\/wp\/v2\/media?parent=5744"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/punyamishra.com\/wp-json\/wp\/v2\/categories?post=5744"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/punyamishra.com\/wp-json\/wp\/v2\/tags?post=5744"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}