Sum of Squares I (visual proof)

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This is a short, animated visual proof of the formula that computes that sum of the first n squares using 3 copies of the sum of squares to build a rectangle . #mathshorts​ #mathvideo​ #math​ #sumofsquares​ #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath

To learn more about animating with manim, check out:
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Background music, used according to CC BY-SA 3.0, is "The Road" from Esteban Orlando:

Esteban Orlando:

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very nice thanks so much for these joyful moments!

aashsyed
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That's a beautiful proof, nice video!

FromTheMountain
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Thank you very much for this cool proof

mahmoudalbahar
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Gorgeous ! What are some good sources for visual proofs like these?

CStrikr
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awesome, this video is rare to find in you tube

bikalbaral
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Goddamit where were you back in the day?

samuraijosh
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I like you other videos but this one had several very large leaps in logic. I don't really think it can be called a proof.

Etothetaui