Channel: Think Twice

Category: Education

Tags: visualizationthink twicemath animated videoseducationmathematicsmathssumexplainedexplanationmath animation softwarebeautifulanimated mathssum of n squares formulavisualareathinksum of integers squaredmath animation for kidsnumberphile3d animationsum of n squares proofmath formula animationsum of n squaressimple explanationsum of n integers squared3b1bformulamath animationmathematical proofgeometrymathmath animation video

Description: 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. _________________________________________________________________ Support my animations on: patreon.com/Think_twice _________________________________________________________________ Any further questions or ideas: Email - thinktwiceask@gmail.com Twitter - twitter.com/thinktwice2580 _________________________________________________________________ Overall render time: ~ 25 hours Programs used: - Cinema 4D _________________________________________________________________ Music: Bach - Prelude in C Major