{"page":"<link rel=\"stylesheet\" href=\"https://lessonplanet.com/assets/packs/css/resources-572d6a42.css\" />\n<link rel=\"stylesheet\" href=\"https://lessonplanet.com/assets/packs/css/lp_boclips_stylesheets-f4d0de30.css\" media=\"all\" />\n<div data-title='The &quot;Fibonacci&quot; Sequence Was Actually Discovered In India 1000 Years Earlier' data-url='/boclips/videos/5c6705b0350a1b0001a75af3' data-video-url='/boclips/videos/5c6705b0350a1b0001a75af3' id='bo_player_modal'>\n<div class='boclips-resource-page modal-dialog panel-container'>\n<div class='react-notifications-root'></div>\n<div class='rp-header'>\n<div class='rp-type'>\n<i aria-hidden='true' class='fai fa-regular fa-circle-play'></i>\nVideo\n</div>\n<h1 class='rp-title' id='video-title'>\nThe &quot;Fibonacci&quot; Sequence Was Actually Discovered In India 1000 Years Earlier\n</h1>\n<div class='rp-actions'>\n<div class='mr-1'>\n<a class=\"btn btn-success\" data-posthog-event=\"Signup: LP Signup Activity\" data-posthog-location=\"body_link_boclips\" data-remote=\"true\" href=\"/subscription/new\"><span><span>Get Free Access</span><span class=\"\"> for 10 Days</span><span>!</span></span></a>\n</div>\n</div>\n</div>\n<div class='rp-body'>\n<div class='rp-info'>\n<div aria-label='Hide resource details' class='rp-hide-info' role='button' tabindex='0'>&times;</div>\n<i aria-label='Expand resource details' class='rp-expand-info fai fa-solid fa-up-right-and-down-left-from-center' role='button' tabindex='0'></i>\n<i aria-label='Compress resource details' class='rp-compress-info fai fa-solid fa-down-left-and-up-right-to-center' role='button' tabindex='0'></i>\n<div class='rp-rating'>\n<span class='resource-pool'>\n<span class='pool-label'>Publisher:</span>\n<span class='pool-name'>\n<span class='text'><a data-publisher-id=\"30356011\" href=\"/search?publisher_ids%5B%5D=30356011\">Curated Video</a></span>\n</span>\n</span>\n</div>\n<div class='rp-description'>\n<span class='short-description'>The sequence of numbers 1, 1, 2, 3, 5, 8, 13, etc was described by Fibonacci around 1200 AD. The Indian mathematician Pingala found the sequence at least 1,000 years before (probably 200 BC) while analyzing Sanskrit poetry. This video...</span>\n<span class='full-description hide'>The sequence of numbers 1, 1, 2, 3, 5, 8, 13, etc was described by Fibonacci around 1200 AD. The Indian mathematician Pingala found the sequence at least 1,000 years before (probably 200 BC) while analyzing Sanskrit poetry. This video describes how the sequence arises from metrical analysis. Blog post (includes extended rant about the <a href='http://mindyourdecisions.com/blog/2015/06/21/a-combinatorics-problem-from-classical-indian-poetry-sunday-puzzle/#.VYcs4vlVhBc' target='_blank' rel='nofollow'>name)</a> Video notes. Note 1: I chose the words \"rice, om, thug, cot\" because they are derived from Sanskrit. Note 2: The video simplifies the analysis. There is a system for determining long (guru) and short (laghu) <a href='https://en.wikipedia.org/wiki/Sanskrit_prosody#Light_and_heavy_syllables' target='_blank' rel='nofollow'>syllables.</a> Note 3: I really wanted to make the video to be 3:58 so it would be all numbers from the Pingala sequence. But I made it in 3:44, and I did not want to add 13 seconds of filler. Note 4: Pingala does not seem to get much credit, even though he also described binary numbers, the so-called Pascal's triangle, and de Bruijn sequences long before their discovery in Western mathematics. I did, however, find someone has constructed a fountain in India to commemorate <a href='http://www.math.canterbury.ac.nz/~r.sainudiin/lmse/pingalas-fountain/' target='_blank' rel='nofollow'>Pingala</a> Note 5: Pingala does get credit in Wikipedia's entry as the origins of the Fibonacci <a href='https://en.wikipedia.org/wiki/Fibonacci_number#Origins' target='_blank' rel='nofollow'>sequence</a> Note 6: The tech company Persistent System, headquartered in Pune, India, actually has a building called Pingala-Aryabhata to honor these two Indian <a href='https://en.wikipedia.org/wiki/Persistent_Systems' target='_blank' rel='nofollow'>mathematicians.</a> If you like my videos, you can support me at <a href='http://www.patreon.com/mindyourdecisions' target='_blank' rel='nofollow'>Patreon</a> Connect on social media. I update each site when I have a new video or blog post, so you can follow me on whichever method is most convenient for you. 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