A surprising application of complex numbers in combinatorics #SoME2

An adaptation of an excellent proof from the excellent “Proofs from THE BOOK“ (Aigner & Ziegler) with a more intuitive and visual approach. Music: Made with manim community edition. 0:00 - Intro 0:29 - Refresher 1:36 - The puzzle 2:25 - The h function 4:07 - The f function 6:04 - Proving the conjecture 8:49 - The other direction 13:24 - Solving the puzzle 14:08 - Takeaway