A Sum of Squares Double Sum Formula (visual proof; 4K)

This is a short, animated visual proof demonstrating how the sum of squares can be obtained from a certain double sum. #math​ #numbertheory #mtbos​ #manim​ #animation​ #theorem​ #pww​ #proofwithoutwords​ #visualproof​ #proof​ #iteachmath #sums #finitesums #sumofsquares #mathematics #squares #doublesum #mathshorts​ #mathvideo​

If you like this video, consider subscribing and checking out my other videos.

For other sum of squares visual proofs, see

To learn more about animating with manim, check out:
_____________________________
Music in this video:
Creative Commons Attribution 3.0 Unported License

[oddlyspecificmath]

The clarity of this...I'm starting to think (in my own mathy plans) that I should only add words once the illustration speaks for itself. Thanks for doing these.

[DitDede]

Nice!
It's also a double sum using sums of odd numbers. Maybe combine a visual proof of odds adding up to squares with this proof to relate sums of odds and sums of integers from k.