{"id":3580,"date":"2016-03-14T11:23:07","date_gmt":"2016-03-14T16:23:07","guid":{"rendered":"http:\/\/neosmart.net\/blog\/?p=3580"},"modified":"2016-03-14T11:23:07","modified_gmt":"2016-03-14T16:23:07","slug":"happy-%cf%80-day-2016","status":"publish","type":"post","link":"https:\/\/neosmart.net\/blog\/happy-%cf%80-day-2016\/","title":{"rendered":"Happy Pi Day 2016!"},"content":{"rendered":"<p><a href=\"https:\/\/neosmart.net\/blog\/wp-content\/uploads\/pi.png\" rel=\"follow\"><img loading=\"lazy\" decoding=\"async\" class=\"alignright wp-image-3582 colorbox-3580\" src=\"https:\/\/neosmart.net\/blog\/wp-content\/uploads\/pi-150x150.png\" alt=\"pi\" width=\"219\" height=\"219\" srcset=\"https:\/\/neosmart.net\/blog\/wp-content\/uploads\/pi-150x150.png 150w, https:\/\/neosmart.net\/blog\/wp-content\/uploads\/pi-600x600.png 600w, https:\/\/neosmart.net\/blog\/wp-content\/uploads\/pi-300x300.png 300w, https:\/\/neosmart.net\/blog\/wp-content\/uploads\/pi.png 720w\" sizes=\"auto, (max-width: 219px) 100vw, 219px\" \/><\/a>In keeping with the yearly tradition, we find it part of our mission on this earth to make bring the good news to all: <strong>Happy\u00a0Pi Day 2016!<\/strong><\/p>\n<p>Pi Day, derived from the co-incidence of March (3) the 14th (3\/14 here in the USA, and a little more-clunkily expressed as 14\/3 for our friends everywhere else in the world) and the first 3 digits of Pi (3.14), is a day of gratitude, thanks, and appreciation for the magic of numbers.<\/p>\n<p>We could probably get away with repeating our post from Pi Day 2008, <a href=\"https:\/\/neosmart.net\/blog\/2008\/celebrating-pi-day\/\" rel=\"follow\">in which we explore \u03c0,\u00a0\u03a6,\u00a0<em>i<\/em>, and\u00a0<em>e<\/em><\/a>, but we have more exciting news to share today: in what&#8217;s being hailed as a possible breakthrough in mathematics, a new finding has just been published that may further our understanding of prime numbers. The study, <a href=\"http:\/\/arxiv.org\/abs\/1603.03720\" rel=\"follow\">published online to\u00a0the arXiv pre-print<\/a>\u00a0and better-explained in <a href=\"https:\/\/www.quantamagazine.org\/20160313-mathematicians-discover-prime-conspiracy\/\" rel=\"follow\">Quanta Magazine<\/a>\u00a0remarks on a previously-unnoted property regarding prime numbers: mathematicians and amateur prime hunters alike have long-observed that prime numbers have an uncanny tendency to be found in clusters separated by massive nothingness &#8211; and now we might have a clue about how the members of the clusters relate (in a very bizarre way) with one another.<\/p>\n<p><!--more--><\/p>\n<p>Math is like that. While we&#8217;ve tracked down primes as high as (2<sup>74,207,281<\/sup>\u00a0\u2212 1), we still don&#8217;t actually understand them. They allow us to do amazing things in the realms of math and computer science (without them, modern cryptography wouldn&#8217;t exist as we know it). We\u00a0have a few tricks for finding them &#8220;a little bit faster&#8221; but we still don&#8217;t actually understand what makes them so special or how they relate to one another &#8211;\u00a0not really, anyway.<\/p>\n<p>\u03c0 isn&#8217;t prime, of course. It&#8217;s an <a href=\"https:\/\/neosmart.net\/blog\/2008\/celebrating-pi-day\/\" rel=\"follow\">irrational number<\/a>\u00a0that&#8217;s simply the ratio of a circle&#8217;s &#8211; any circle&#8217;s &#8211;\u00a0circumference to its diameter, i.e.\u00a0<em>c<\/em> = \u03c0<em>d\u00a0<\/em>where\u00a0<em>c<\/em>\u00a0and <em>d<\/em>\u00a0are\u00a0the circumference and diameter of any given (perfect) circle. While the meaning of \u03c0 itself may not be much of a mystery, that doesn&#8217;t make it any less of a wonder. We don&#8217;t have (or, rather, know of) any numeric system in which pi (again, it&#8217;s just circumference\/diameter) is finite or rational &#8211; except to the base pi, of course.<\/p>\n<p>The idea that a something as simple as the ratio of\u00a0<em>any<\/em> circle&#8217;s circumference to its diameter is a never-ending, never-repeating sequence of digits &#8211; a sequence in which, mathematically, you are bound to find (if you have the patience, processing power, and\u00a0lifespan for it)\u00a0<em>any other (finite) number or numeric representation of *anything*<\/em> is quite astounding. Look at it this way: every single prime number we are searching for can be found at some point in the never-ending stream of Pi&#8217;s digits (or the digits of any other irrational number, for that matter). Exciting stuff!<\/p>\n<p>Enough about \u03c0 though, we all know what Pi Day is all\u00a0<em>really<\/em> about:<\/p>\n<p><a href=\"https:\/\/neosmart.net\/blog\/wp-content\/uploads\/Pi-Day.jpg\" rel=\"follow\"><img loading=\"lazy\" decoding=\"async\" class=\"alignnone size-medium wp-image-3581 colorbox-3580\" src=\"https:\/\/neosmart.net\/blog\/wp-content\/uploads\/Pi-Day-600x400.jpg\" alt=\"Pi Day\" width=\"600\" height=\"400\" srcset=\"https:\/\/neosmart.net\/blog\/wp-content\/uploads\/Pi-Day-600x400.jpg 600w, https:\/\/neosmart.net\/blog\/wp-content\/uploads\/Pi-Day-450x300.jpg 450w, https:\/\/neosmart.net\/blog\/wp-content\/uploads\/Pi-Day.jpg 913w\" sizes=\"auto, (max-width: 600px) 100vw, 600px\" \/><\/a><\/p>\n<p>Post pictures of your day&#8217;s efforts below, share your favorite recipes, or draft a love poem (or haiku) dedicated towards \u03c0 (or pie) in the comments below as you see fit!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>In keeping with the yearly tradition, we find it part of our mission on this earth to make bring the good news to all: Happy\u00a0Pi Day 2016! Pi Day, derived from the co-incidence of March (3) the 14th (3\/14 here &hellip; <a href=\"https:\/\/neosmart.net\/blog\/happy-%cf%80-day-2016\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":505,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"jetpack_post_was_ever_published":false,"_jetpack_newsletter_access":"","_jetpack_dont_email_post_to_subs":false,"_jetpack_newsletter_tier_id":0,"_jetpack_memberships_contains_paywalled_content":false,"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[1],"tags":[619,863,915,914],"class_list":["post-3580","post","type-post","status-publish","format-standard","hentry","category-software","tag-math","tag-pi-day","tag-prime-numbers","tag-primes"],"aioseo_notices":[],"jetpack_featured_media_url":"","jetpack_shortlink":"https:\/\/wp.me\/p4xDa-VK","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"https:\/\/neosmart.net\/blog\/wp-json\/wp\/v2\/posts\/3580","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/neosmart.net\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/neosmart.net\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/neosmart.net\/blog\/wp-json\/wp\/v2\/users\/505"}],"replies":[{"embeddable":true,"href":"https:\/\/neosmart.net\/blog\/wp-json\/wp\/v2\/comments?post=3580"}],"version-history":[{"count":1,"href":"https:\/\/neosmart.net\/blog\/wp-json\/wp\/v2\/posts\/3580\/revisions"}],"predecessor-version":[{"id":3583,"href":"https:\/\/neosmart.net\/blog\/wp-json\/wp\/v2\/posts\/3580\/revisions\/3583"}],"wp:attachment":[{"href":"https:\/\/neosmart.net\/blog\/wp-json\/wp\/v2\/media?parent=3580"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/neosmart.net\/blog\/wp-json\/wp\/v2\/categories?post=3580"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/neosmart.net\/blog\/wp-json\/wp\/v2\/tags?post=3580"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}