This is a short, animated visual proof of the formula that computes that sum of the first n squares using 3 copies of a triangular array containing stacks of tokens equaling the sum of the first n squares . #mathshorts #mathvideo #math #sumofsquares #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #finitesums #discretemath
This animation is based on a visual proof by Sidney H. Kung from the May 1989 issue of The College Mathematics Journal ([ Ссылка ]) page 205.
Here is another visual proof of the same fact:
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To learn more about animating with manim, check out:
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