Cannonball Problem: Unique Square Pyramidal & Square Number 🏀

In this short, we show the only nontrivial solution to the cannonball problem, which asks for numbers that are simultaneously square pyramidal and square. The problem gets its name because cannonballs stack nicely in square pyramidal arrays.

Can you prove that 0,1, and 4900 are the only such solutions to the problem?

If you like this video, consider subscribing to the channel or consider buying me a coffee: https://www.buymeacoffee.com/VisualProofs. Thanks!

#math​ ​#manim​ #animation​ #theorem​ #iteachmath #mathematics ##mathshorts​ #mathvideo​ #mtbos #mathematician #squarepyramidal #numbertheory #cannonballproblem #cannonballrun

To learn more about animating with manim, check out:
https://manim.community