{"id":3764,"date":"2023-03-14T04:27:33","date_gmt":"2023-03-14T08:27:33","guid":{"rendered":"http:\/\/www.tubridy.net\/newblog\/?p=3764"},"modified":"2023-03-26T03:49:48","modified_gmt":"2023-03-26T07:49:48","slug":"happy-pi-day","status":"publish","type":"post","link":"http:\/\/www.tubridy.net\/newblog\/nature\/happy-pi-day\/","title":{"rendered":"Happy Pi Day"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\"><strong>3\/14 at 1:59AM<\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">I once memorized pi to 100 decimal places to prove that I could. I used to repeat it while walking my dogs when I lived in Atlanta. It took me no time to forget most of it!<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">I have always been fascinated by geometry, much more so than math itself which I have always found difficult. Geometry, on the other hand, seems so intuitive to me, probably because it&#8217;s very visual. Trigonometry, where geometry and math more or less intersect, took a while but has also become very intuitive to me.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"alignleft size-medium is-resized\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"3767\" data-permalink=\"http:\/\/www.tubridy.net\/newblog\/nature\/happy-pi-day\/attachment\/sine_wave_10_khz_displayed_on_analog_oscilloscope\/\" data-orig-file=\"http:\/\/www.tubridy.net\/newblog\/wp-content\/uploads\/2023\/03\/Sine_wave_10_kHz_displayed_on_analog_oscilloscope.jpg\" data-orig-size=\"1333,1076\" data-comments-opened=\"0\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"Sine_wave_10_kHz_displayed_on_analog_oscilloscope\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"http:\/\/www.tubridy.net\/newblog\/wp-content\/uploads\/2023\/03\/Sine_wave_10_kHz_displayed_on_analog_oscilloscope-1024x827.jpg\" src=\"http:\/\/www.tubridy.net\/newblog\/wp-content\/uploads\/2023\/03\/Sine_wave_10_kHz_displayed_on_analog_oscilloscope-300x242.jpg\" alt=\"\" class=\"wp-image-3767\" width=\"225\" height=\"182\" srcset=\"http:\/\/www.tubridy.net\/newblog\/wp-content\/uploads\/2023\/03\/Sine_wave_10_kHz_displayed_on_analog_oscilloscope-300x242.jpg 300w, http:\/\/www.tubridy.net\/newblog\/wp-content\/uploads\/2023\/03\/Sine_wave_10_kHz_displayed_on_analog_oscilloscope-1024x827.jpg 1024w, http:\/\/www.tubridy.net\/newblog\/wp-content\/uploads\/2023\/03\/Sine_wave_10_kHz_displayed_on_analog_oscilloscope-768x620.jpg 768w, http:\/\/www.tubridy.net\/newblog\/wp-content\/uploads\/2023\/03\/Sine_wave_10_kHz_displayed_on_analog_oscilloscope-1200x969.jpg 1200w, http:\/\/www.tubridy.net\/newblog\/wp-content\/uploads\/2023\/03\/Sine_wave_10_kHz_displayed_on_analog_oscilloscope.jpg 1333w\" sizes=\"auto, (max-width: 225px) 85vw, 225px\" \/><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">I remember watching Dad work on the TV when we were young. He had an instrument called an Oscilloscope. He taught me how to use it by showing me a sine wave. It was the coolest thing this little dude had experienced so far! <\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"alignright size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"3768\" data-permalink=\"http:\/\/www.tubridy.net\/newblog\/nature\/happy-pi-day\/attachment\/gyroscopic-scanner\/\" data-orig-file=\"http:\/\/www.tubridy.net\/newblog\/wp-content\/uploads\/2023\/03\/gyroscopic-scanner.gif\" data-orig-size=\"220,435\" data-comments-opened=\"0\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"gyroscopic-scanner\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"http:\/\/www.tubridy.net\/newblog\/wp-content\/uploads\/2023\/03\/gyroscopic-scanner.gif\" src=\"http:\/\/www.tubridy.net\/newblog\/wp-content\/uploads\/2023\/03\/gyroscopic-scanner.gif\" alt=\"\" class=\"wp-image-3768\" width=\"165\" height=\"326\"\/><figcaption class=\"wp-element-caption\">Sinusoidal motion<\/figcaption><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">It all came together for me when I saw something like this for the first time. <em>Sinusoidal motion.<\/em> Over time I could start to see it everywhere. In graduate school and for the first ten years or so of my professional life I became a subject matter expert on it with my work at Boeing and Hewlett-Packard.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">As I got older I developed a fascination with numbers. There is nothing more fascinating than the ratio of a circle&#8217;s circumference to its diameter. A number that goes on forever and never falls into a repeating pattern. A number that you can literally see when the sun rises every morning or watching the orbit of the moon over a period of time. Watching the waves break at the beach or a bird flap its wings. Nothing but a moving circle.<\/p>\n\n\n<div class=\"wp-block-image\">\n<figure class=\"alignright size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"3007\" data-permalink=\"http:\/\/www.tubridy.net\/newblog\/?attachment_id=3007\" data-orig-file=\"http:\/\/www.tubridy.net\/newblog\/wp-content\/uploads\/2023\/01\/fourier.jpg\" data-orig-size=\"572,842\" data-comments-opened=\"0\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"fourier\" data-image-description=\"\" data-image-caption=\"&lt;p&gt;Fourier&lt;\/p&gt;\n\" data-large-file=\"http:\/\/www.tubridy.net\/newblog\/wp-content\/uploads\/2023\/01\/fourier.jpg\" src=\"http:\/\/www.tubridy.net\/newblog\/wp-content\/uploads\/2023\/01\/fourier.jpg\" alt=\"\" class=\"wp-image-3007\" width=\"286\" height=\"421\" srcset=\"http:\/\/www.tubridy.net\/newblog\/wp-content\/uploads\/2023\/01\/fourier.jpg 572w, http:\/\/www.tubridy.net\/newblog\/wp-content\/uploads\/2023\/01\/fourier-204x300.jpg 204w\" sizes=\"auto, (max-width: 286px) 85vw, 286px\" \/><figcaption class=\"wp-element-caption\">Hewlett-Packard 5451C Fourier Analyzer<\/figcaption><\/figure>\n<\/div>\n\n\n<p class=\"wp-block-paragraph\">Things really got interesting when I learned about Monsieur Fourier. He was an 18th-century French mathematician who developed a magic trick called a Fourier transform. This trick allows you to essentially create any arbitrary waveform (for example your favorite song) from a summation of a whole bunch of these beautiful sinusoids. Later some really smart people figured out how to do this very quickly with machines like the Fourier Analyzer I worked with in my early career. <\/p>\n\n\n\n<p class=\"has-drop-cap wp-block-paragraph\">There is something almost <em>existential<\/em>\u00a0about pi. At one point I thought it might be the hand of some creator. Now I think it&#8217;s more the nature of the universe. <\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Whatever it is, it&#8217;s truly beautiful and very, very cosmic \ud83e\udd29. <\/p>\n\n\n\n<figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-4-3 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<iframe loading=\"lazy\" title=\"Kate Bush - Pi\" width=\"840\" height=\"630\" src=\"https:\/\/www.youtube.com\/embed\/kZSHr5E7fZY?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" allowfullscreen><\/iframe>\n<\/div><figcaption class=\"wp-element-caption\">The astounding Kate Bush sings pi<\/figcaption><\/figure>\n\n\n\n<figure class=\"wp-block-pullquote has-white-color has-bright-red-background-color has-text-color has-background\" style=\"border-width:1px;border-radius:70px\"><blockquote><p>3 . 1 4 1 5 9 2 6 5 3 5 8 9 7 9 3 2 3 8 4 6 2 6 4 3 3 8 3 2 7 9 5 0 2 8 8 4 1 9 7 1 6 9 3 9 9 3 7 5 1 0 5 8 2 0 9 7 4 9 4 4 5 9 2 3 0 7 8 1 6 4 0 6 2 8 6 2 0 8 9 9 8 6 2 8 0 3 4 8 2 5 3 4 2 1 1 7 0 6 7 9<\/p><cite>Pi<\/cite><\/blockquote><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>3\/14 at 1:59AM I once memorized pi to 100 decimal places to prove that I could. I used to repeat it while walking my dogs when I lived in Atlanta. It took me no time to forget most of it! I have always been fascinated by geometry, much more so than math itself which I &hellip; <a href=\"http:\/\/www.tubridy.net\/newblog\/nature\/happy-pi-day\/\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;Happy Pi Day&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":3765,"comment_status":"closed","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"_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":[86],"tags":[],"class_list":["post-3764","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-nature"],"jetpack_featured_media_url":"http:\/\/www.tubridy.net\/newblog\/wp-content\/uploads\/2023\/03\/IMG_0718-e1678782712857.jpg","jetpack_sharing_enabled":true,"_links":{"self":[{"href":"http:\/\/www.tubridy.net\/newblog\/wp-json\/wp\/v2\/posts\/3764","targetHints":{"allow":["GET"]}}],"collection":[{"href":"http:\/\/www.tubridy.net\/newblog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/www.tubridy.net\/newblog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/www.tubridy.net\/newblog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"http:\/\/www.tubridy.net\/newblog\/wp-json\/wp\/v2\/comments?post=3764"}],"version-history":[{"count":4,"href":"http:\/\/www.tubridy.net\/newblog\/wp-json\/wp\/v2\/posts\/3764\/revisions"}],"predecessor-version":[{"id":3786,"href":"http:\/\/www.tubridy.net\/newblog\/wp-json\/wp\/v2\/posts\/3764\/revisions\/3786"}],"wp:featuredmedia":[{"embeddable":true,"href":"http:\/\/www.tubridy.net\/newblog\/wp-json\/wp\/v2\/media\/3765"}],"wp:attachment":[{"href":"http:\/\/www.tubridy.net\/newblog\/wp-json\/wp\/v2\/media?parent=3764"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/www.tubridy.net\/newblog\/wp-json\/wp\/v2\/categories?post=3764"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/www.tubridy.net\/newblog\/wp-json\/wp\/v2\/tags?post=3764"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}