This is a short, animated visual proof of the formula that computes that sum of the first n squares using 6 copies of the sum of squares pyramids to build a rectangular prism .
Here is a slower version of this video:
Here are three other visual proofs about the sum of squares formulas:
This animation is based on a visual proof by Man-Keung Siu from the March 1984 issue of Mathematics Magazine (), page 92.
To learn more about animating with manim, check out:
#math #manim #mathvideo #sumofsquares #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #finitesums #discretemath
This is my version of a classic visual proof. Here are other renditions:
by @ThinkTwiceLtu
by @Mathocube
by @MathPhysicsEngineering
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