Candido's Identity (visual animated proof without words)

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Mathematical Visual Proofs

Mathematical Visual Proofs

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This is a short, animated visual proof of a fact known as Candido's identity, which says [x^2+^2y + (x+y)^2]^2 is twice x^4+y^4 + (x+y)^4. #math​ #numbertheory #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #sums #algebra #areas #mathematics #squares #algebraicidentity #mathshorts​ #mathvideo #​candido
If you like this video, consider subscribing and checking out my other videos.
For other visual algebraic proofs, see
• An Algebraic Areas Ide...
• Completing The Square ...
• Completing the Square ...
• What's the area of thi...
This animation is based on a visual proof by Roger B. Nelsen from the April 2005 issue of Mathematics Magazine (doi.org/10.230... - page 131).
To learn more about animating with manim, check out:
manim.community
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Music in this video:
Valiant Knights by MaxKoMusic | maxkomusic.com/
Music promoted by www.free-stock...
Creative Commons Attribution-ShareAlike 3.0 Unported
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