Channel: Think Twice

Category: People & Blogs

Tags: mind blowingvisualizationthink twicemathematicsmathseuclidean geometrysimplesumalgebraexplainedvsaucefacts3damazingphysicsvisualparadoxgeometry (field of study)proofcubetriangular numbersnumberphileinterestingbeautiful proofsquare numbersanimationequalsquaretheoremnicomachussquared triangular numbercubes3b1bproof without wordsmathematical proofgeometrymath videosmathnumber theory

Description: A visual proof of Nicomachus's theorem. It states that the sum of the first n cubes is the square of the nth triangular number. That is, 1^3 + 2^3 + 3^3 +...+ n^3=(1 + 2 + 3 +...+ n)^2. I thought it was one of the most visually appealing proofs so I decided to make a short 3D animation. _________________________________________________________________ Support my animations on: patreon.com/Think_twice _________________________________________________________________ Any further questions or ideas: Email - thinktwiceask@gmail.com Twitter - twitter.com/thinktwice2580 _________________________________________________________________ Programs used: - Cinema 4D _________________________________________________________________