Fibonacci Nim is a two-player strategy game where players take turns removing ducks from a pile. But how can we win? What does Fibonacci have to do with it? And what other beautiful math can we uncover along the way?
Other game theory videos: https://www.youtube.com/playlist?list=PLH5zdqQODdBiGrWszPScMO2Dvp0Ix_vpV
Sections:
0:00 Intro
1:25 P and N positions
4:15 First move
5:45 Fibonacci?
6:25 Zeckendorf representation
9:22 Zeckendorf triangle
12:09 Strategy
15:24 Proof
19:13 Recap
20:33 Rematch