{"id":84156,"date":"2025-03-28T04:52:52","date_gmt":"2025-03-27T19:52:52","guid":{"rendered":"https:\/\/coin.iroirojapon.com\/?p=84156"},"modified":"2025-03-28T05:30:22","modified_gmt":"2025-03-27T20:30:22","slug":"a-slow-turtle-walks-around-a-polygon-and-reveals-a-simple-truth-about-exterior-angles","status":"publish","type":"post","link":"https:\/\/coin.iroirojapon.com\/?p=84156","title":{"rendered":"A Slow Turtle Walks Around a Polygon&#8230;and Reveals a Simple Truth about Exterior Angles"},"content":{"rendered":"<div class=\"youtube\"><iframe title=\"A Slow Turtle Walks Around a Polygon...and Reveals a Simple Truth about Exterior Angles\" src=\"https:\/\/www.youtube.com\/embed\/cA0TWYafo24?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/div>\n<p>Here\u2019s my little buddy, the Slow Turtle. He\u2019s slow, sure\u2014but also determined. And he\u2019s about to show us why, for any polygon, the sum of the exterior angles is always 360 degrees.<\/p>\n<p>Check out the main channel! @polymathematic <\/p>\n<p>Slow Turtle starts walking along the edge of a polygon. As long as he can feel the side of the shape out to his left, he\u2019s happy. But when he hits a corner\u2014uh oh\u2014he can\u2019t feel anything. So he slowly turns until the shape is on his left again. He does this at every corner, carefully turning to stay in contact.<\/p>\n<p>Eventually, he makes it all the way around the figure. And here\u2019s the key: no matter what kind of polygon it is, he\u2019s made exactly one full turn. That\u2019s 360 degrees of rotation\u2014just distributed over however many corners the shape has.<\/p>\n<p>If you bring those little turns (those exterior angles) back to the center, you\u2019ll see they form a full circle.<\/p>\n<p>That\u2019s why the sum of the exterior angles of any polygon\u2014triangle, hexagon, whatever\u2014is always 360\u00b0. The Slow Turtle proves it every time.<\/p>\n<p>#MathExplained #GeometryVisualized #IntuitiveGeometry<\/p>\n<p>Follow Tim Ricchuiti:<br \/>\nTikTok: https:\/\/www.tiktok.com\/@polymathematic<br \/>\nInstagram: https:\/\/www.instagram.com\/polymathematicnet<br \/>\nMathstodon: https:\/\/mathstodon.xyz\/@polymathematic<br \/>\nReddit: https:\/\/www.reddit.com\/user\/polymath-matic<br \/>\nFacebook: https:\/\/www.facebook.com\/polymathematic<\/p>\n<p>Watch more Math Videos:<br \/>\nMath Minis: https:\/\/www.youtube.com\/playlist?list=PLrc8spN1b3jkQynJ5heNvSs72gCPj_hwj<br \/>\nMath Minutes: https:\/\/www.youtube.com\/playlist?list=PLrc8spN1b3jmVFYwHiuMzCYJ0y_yiwUge<br \/>\nNumber Sense: https:\/\/www.youtube.com\/playlist?list=PLrc8spN1b3jksKkY_oarNFEFAHjrIV97U<br \/>\nMATHCOUNTS: https:\/\/www.youtube.com\/playlist?list=PLrc8spN1b3jlqDkZXtby9lnEaOBy7-ZY0<\/p>\n<p><!-- Video Blogster Pro --><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Here\u2019s my little buddy, the Slow Turtle. He\u2019s slow, sure\u2014but also determined. And he\u2019s about to show us why, for any polygon, the sum of the exterior angles is always 360 degrees. Check out the main c [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":84157,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[12],"tags":[],"class_list":["post-84156","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-polygon"],"aioseo_notices":[],"jetpack_featured_media_url":"https:\/\/i0.wp.com\/coin.iroirojapon.com\/wp-content\/uploads\/2025\/03\/A-Slow-Turtle-Walks-Around-a-Polygon.and-Reveals-a-Simple-Truth-about-Exterior-Angles.jpg?fit=1280%2C720&ssl=1","jetpack-related-posts":[{"id":108294,"url":"https:\/\/coin.iroirojapon.com\/?p=108294","url_meta":{"origin":84156,"position":0},"title":"The game that scared Gaten Matarazzo &#8220;so bad&#8221; | Shelf Quest","author":"coin.iroirojapon.com","date":"2026\u5e744\u670810\u65e5","format":false,"excerpt":"Child actors either get unlimited screentime, or n\u2026","rel":"","context":"\u30dd\u30ea\u30b4\u30f3\uff08MATIC\uff09","block_context":{"text":"\u30dd\u30ea\u30b4\u30f3\uff08MATIC\uff09","link":"https:\/\/coin.iroirojapon.com\/?cat=12"},"img":{"alt_text":"","src":"https:\/\/i0.wp.com\/coin.iroirojapon.com\/wp-content\/uploads\/2026\/04\/The-game-that-scared-Gaten-Matarazzo-so-bad-Shelf-Quest.jpg?fit=1200%2C675&ssl=1&resize=350%2C200","width":350,"height":200,"srcset":"https:\/\/i0.wp.com\/coin.iroirojapon.com\/wp-content\/uploads\/2026\/04\/The-game-that-scared-Gaten-Matarazzo-so-bad-Shelf-Quest.jpg?fit=1200%2C675&ssl=1&resize=350%2C200 1x, https:\/\/i0.wp.com\/coin.iroirojapon.com\/wp-content\/uploads\/2026\/04\/The-game-that-scared-Gaten-Matarazzo-so-bad-Shelf-Quest.jpg?fit=1200%2C675&ssl=1&resize=525%2C300 1.5x, https:\/\/i0.wp.com\/coin.iroirojapon.com\/wp-content\/uploads\/2026\/04\/The-game-that-scared-Gaten-Matarazzo-so-bad-Shelf-Quest.jpg?fit=1200%2C675&ssl=1&resize=700%2C400 2x, https:\/\/i0.wp.com\/coin.iroirojapon.com\/wp-content\/uploads\/2026\/04\/The-game-that-scared-Gaten-Matarazzo-so-bad-Shelf-Quest.jpg?fit=1200%2C675&ssl=1&resize=1050%2C600 3x"},"classes":[]},{"id":109705,"url":"https:\/\/coin.iroirojapon.com\/?p=109705","url_meta":{"origin":84156,"position":1},"title":"The Killers &#8211; 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