Sum of the first n odd numbers (visual proof)

This is a short, animated visual proof demonstrating how to find the sum of the first n positive odd integers. #math​ #numbertheory #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #squares #oddintegers #numbertheory #sum #mathshorts​ #mathvideo​

This animation is based on a visual proof by Roger B. Nelsen from his first compendium of visual proofs:

To learn more about animating with manim, check out:
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Music in this video:
Attribution 4.0 International (CC BY 4.0)

[TheBasikShow]

Nice! Personally I prefer the visual of adding shells onto a square, but it’s always interesting to see new proofs.

[mathflipped]

Great job! Nice visual illustration of the sum.

[Redrios]

this is otherwordly for me, my ignorance is covered by the sense of awe and sublime

[Tezhut]

Cool. And don't take this as anything against your voice (I thinks it's fine), but for this one I think it could just have easily worked for wordless Wednesdays!