3D Visual Sum of Odd Squares | proof without words

This is a short, animated visual proof of the formula that computes that sum of the first n odd squares using 3 copies of a particular triangular stack to build a triangular prism .
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Here are three related visual proofs about the sum formulas:
• Adding pentagonal numb...
• Visual Sum of Squares ...
• Sums of Oblong Numbers...
This animation is based on a visual proof by Roger B. Nelsen from the May 1994 issue of The College Mathematics Journal (www.jstor.org/... page 246).
#math #manim​ #mathvideo​​ #sumofsquares​ #odd squares #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #finitesums #discretemath
Thanks to ‪@cheeseburgermonkey7104‬ for catching a typo in the first upload.
To learn more about animating with manim, check out:
manim.community
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Music in this video:
CINEMA by Alex-Productions | onsound.eu/
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Creative Commons / Attribution 3.0 Unported License (CC BY 3.0)
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[@mike7920]

Beautiful! I derived a proof for this series for my secondary school maths GCSE by tessellating 6 pyramids and adding a few bits

[@LittlePaimon]

谢谢！

[@MathVisualProofs]

Thanks!

[@cheeseburgermonkey7104]

Happy to help

[@MathVisualProofs]

Thanks!

[@RafaelRabinovich]

Amazingly clear

[@MathVisualProofs]

Thank you!

[@arunkrishna36108]

I am expecting a video about De Morgans law dude

[@MathVisualProofs]

I did a discrete math course but didn’t fit that in explicitly in the set theory section (only in the propositional logic: kzbin.info/www/bejne/eWezlotqnrB9mLc )

[@mokhtarlahmer347]

A Smart proof

[@MathVisualProofs]

😊