Think Twice | Sum of n squares | explained visually | @ThinkTwiceLtu | Uploaded June 2017 | Updated October 2024, 1 day ago.
There is a simple algebraic proof for why
1^2 + 2^2 + 3^2 +...+ n^2 = (n(n+1)(2n+1))/6 , and it's not that interesting. However I think that the visual explanation is a lot more beautiful and so I made a simple animation about it.

I know that I used only one example where n=4, but the same will work with any integer n. It's not a proof, but it will make you understand the logic behind the formula.
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Support my animations on:

patreon.com/Think_twice
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Any further questions or ideas:

Email - thinktwiceask@gmail.com

Twitter - twitter.com/thinktwice2580

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Overall render time: ~ 25 hours

Programs used:

- Cinema 4D
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Music:

Bach - Prelude in C Major