{"id":76,"date":"2008-03-07T12:57:04","date_gmt":"2008-03-07T11:57:04","guid":{"rendered":"http:\/\/www.walkingrandomly.com\/?p=76"},"modified":"2008-04-07T10:58:55","modified_gmt":"2008-04-07T09:58:55","slug":"demonstrations-for-pi-day","status":"publish","type":"post","link":"https:\/\/walkingrandomly.com\/?p=76","title":{"rendered":"Demonstrations for Pi Day"},"content":{"rendered":"<p>Next Friday will be March 14th which is celebrated by some as <a href=\"http:\/\/www.piday.org\/\">Pi Day<\/a> since the date is 3\/14 in American date format and the first three digits of Pi are 3.14 (as if I have to tell you!).  <a href=\"http:\/\/jd2718.wordpress.com\/2008\/03\/07\/pi-day-what-sort-of-ideas\/\">One or two<\/a> people have been looking for inspiration as to what to do for Pi Day in schools and I thought that it would be fun to write a Wolfram Demonstration especially for Pi Day, after all, my <a href=\"https:\/\/www.walkingrandomly.com\/?p=59\">Valentine&#8217;s<\/a> <a href=\"https:\/\/www.walkingrandomly.com\/?p=65\">day<\/a> <a href=\"https:\/\/www.walkingrandomly.com\/?p=67\">demonstrations<\/a> turned out to be <a href=\"http:\/\/blog.wolfram.com\/2008\/02\/demonstrating_valentines_day.html?lid=title\">quite popular<\/a>.<\/p>\n<p>So the question that remained to be answered was &#8220;what demonstration should I write?&#8221;<\/p>\n<p>I have already written a post about making music out of the digits of Pi and discovered that a  great demonstration had been written by Hector Zenil so there was no point in thinking about that.<\/p>\n<p>How about <a href=\"http:\/\/mathworld.wolfram.com\/BuffonsNeedleProblem.html\">Buffon&#8217;s needle<\/a>?  That&#8217;s a fun problem that leads to an approximation of Pi.  Unfortunately for me &#8211; this is a demonstration that has already been written.<\/p>\n<p style=\"text-align: center\"><a href=\"http:\/\/demonstrations.wolfram.com\/BuffonsNeedleProblem\/\"><img decoding=\"async\" src=\"\/images\/pi-day\/buffon.gif\" \/><\/a><\/p>\n<p>Perhaps I could do something that looked at the randomness in the digits of Pi?  After all &#8211; this blog IS called walking randomly and I haven&#8217;t looked at randomness very much yet.  Unfortunately I have been beaten to this one too (By Stephen Wolfram himself no less).<\/p>\n<p style=\"text-align: center\"><a href=\"http:\/\/demonstrations.wolfram.com\/RandomnessInTheDigitsOfPi\/\"><img decoding=\"async\" src=\"\/images\/pi-day\/randompi.gif\" \/><\/a><\/p>\n<p>My next thought was to consider some series that would sum up to approximations of Pi.  Again &#8211; it&#8217;s been done.<\/p>\n<p style=\"text-align: center\"><a href=\"http:\/\/demonstrations.wolfram.com\/ClassicalApproximationsOfPi\/\"><img decoding=\"async\" src=\"\/images\/pi-day\/pi-series.gif\" \/><\/a><\/p>\n<p>In addition to these three there are many others such as<\/p>\n<ul>\n<li> <a href=\"http:\/\/demonstrations.wolfram.com\/ConsecutiveDigitsInTheExpansionOfPi\/\">Consecutive Digits in the Expansion of Pi<\/a><\/li>\n<li> <a href=\"http:\/\/demonstrations.wolfram.com\/PiDigitsBarChart\/\">Pi Digits Bar Chart<\/a><\/li>\n<li><a href=\"http:\/\/demonstrations.wolfram.com\/PiDigitsPie\/\">Pi Digits Pie<\/a><\/li>\n<li><a href=\"http:\/\/demonstrations.wolfram.com\/WallisSievePiApproximation\/\">Wallis&#8217; Sieve Pi Approximation<\/a><\/li>\n<li><a href=\"http:\/\/demonstrations.wolfram.com\/GraphsOfSuccessiveDigitsOfPiEAndPhi\/\">Graphs Of Successive Digits Of Pi, E and Phi<\/a><\/li>\n<li><a href=\"http:\/\/demonstrations.wolfram.com\/WallisFormula\/\">Wallis Formula<\/a><\/li>\n<\/ul>\n<p>That&#8217;s a lot of Pi and I have only just gotten started.  All in all I am stumped &#8211; I have no idea of a demonstration I might write for Pi Day but if you can think of something then let me know and I will see what I can do :) (Oh and I will make sure that you get credit for your idea when I submit it to the project)<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Next Friday will be March 14th which is celebrated by some as Pi Day since the date is 3\/14 in American date format and the first three digits of Pi are 3.14 (as if I have to tell you!). One or two people have been looking for inspiration as to what to do for Pi [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"footnotes":"","jetpack_publicize_message":"","jetpack_publicize_feature_enabled":true,"jetpack_social_post_already_shared":false,"jetpack_social_options":{"image_generator_settings":{"template":"highway","default_image_id":0,"font":"","enabled":false},"version":2}},"categories":[6,8,18],"tags":[],"class_list":["post-76","post","type-post","status-publish","format-standard","hentry","category-general-math","category-mathematica","category-wolfram-demonstrations"],"jetpack_publicize_connections":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p3swhs-1e","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts\/76","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=76"}],"version-history":[{"count":0,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=\/wp\/v2\/posts\/76\/revisions"}],"wp:attachment":[{"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=76"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=76"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/walkingrandomly.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=76"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}