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
This animation is based on (independently discovered) visual proofs by Dan Kalman from the March 1991 issue of The College Mathematics Journal ([ Ссылка ]) and Martin Gardner from the October 1973 Scientific American ([ Ссылка ]).
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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Music provided by RFM: [ Ссылка ]
