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:
https://www.patreon.com/Think_twice
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Any further questions or ideas:
Email -
[email protected]
Twitter - https://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