Is square root of 2 equal to 2? (Spoiler : no)

Mathematical Visual Proofs October 30, 2022
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Mathematical Visual Proofs

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I animate and provide some explanation for classic and newer "proofs without words," which are typically diagrams without any words that indicate how a theorem could be proved. I often pay homage to Proofs Without Words by including some animations without narration (only dramatic music :) ). I have also noticed that while there are many wonderful visual proofs available on YouTube, most of the creators do not credit the original visual proofs. I will do my best to include links and citations for each visual proof so that you can track down the original static images, which have a beauty and a wonder all their own. I create my animations using the amazing software Manimgl from 3Blue1Brown. If you want to buy me a coffee, you can do that here: https://www.buymeacoffee.com/VisualProofs

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This is a short animation of an oft-claimed visual proof that the square root of 2 is equal to 2. Can you see why the two lengths aren't equal? Can you give a good, brief explanation? #math #manim #mathshorts #mathvideo #visualproof #proofwithoutwords #false #mathfail To learn more about animating with manim, check out: https://manim.community _________________________ Music in this episode: Prelude No. 5 by Chris Zabriskie is licensed under a Creative Commons Attribution 4.0 license. https://creativecommons.org/licenses/by/4.0/ Source: http://chriszabriskie.com/preludes/ Artist: http://chriszabriskie.com/

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