Sum of Squares Formula Proof (*Full Screen advised*) This project animates one of several "Visual Proofs" that the Sum of the Squares of the numbers 1 to n is ( n x (n + 1) x (2n + 1) ) / 6 - Click Green Flag to start the animation - Click the Stage when so advised for the next Phase
All the (bad) code in this project is written by me! My "Squares on a Chessboard" project: https://scratch.mit.edu/projects/1365035232 animates a systematic process to count all the squares on a Chessboard & shows how it really boils down to the Sum of Squares problem for n = 8, meaning there is a much simpler formula to calculate it, than adding the squares of the numbers 1 to 8. I pointed this out in the Notes & Credits section of that project, raising the question about why this simple formula works? So this project is one simple demonstration of why. My 3D graphics drawing skills in Scratch are very limited, leading to some really clunky, ugly code that I'm not really that proud of but I think it serves its purpose well enough, despite how bad the code is. I hope you think so, too! Special thanks to @s_federici whose constructive feedback helped me make the final result considerably better than it was, when I first shared it.