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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 . #math #manim #mathvideo #sumofsquares #mtbos #manim #animation #theorem #pww #proofwithoutwords #visualproof #proof #iteachmath #finitesums #discretemath
Here are three other visual proofs about the sum of squares formulas:
• Sum of Squares I (visu...
• Sum of Squares II (vis...
• A Sum of Squares Doubl...
This animation is based on a visual proof by Man-Keung Siu from the March 1984 issue of Mathematics Magazine (www.jstor.org/stable/2689589), page 92.
To learn more about animating with manim, check out:
manim.community
This is my version of a classic visual proof. Here are other renditions:
• Sum of n squares | exp... by @ThinkTwiceLtu
• Sum of n square number... by @Mathocube
• Visual Proof for Sum o... by @MathPhysicsEngineering
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Music in this video:
Building The Future by MaxKoMusic | maxkomusic.com/
Music promoted by www.free-stock-music.com
Creative Commons Attribution-ShareAlike 3.0 Unported
creativecommons.org/licenses/...