Nicomachus's theorem | Visualisation | 3-D animation |
1:37
YouTubeThink Twice
Nicomachus's theorem | Visualisation | 3-D animation |
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 ...
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