Think Twice | Nicomachus's theorem | Visualisation | 3-D animation | @ThinkTwiceLtu | Uploaded May 2017 | Updated October 2024, 1 day ago.
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
_________________________________________________________________
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
_________________________________________________________________