Secrets of the Fibonacci Tiles - 3B1B Summer of Math Exposition

A simple problem about tiling will explain multiple patterns hidden in the Fibonacci sequence. Music by Michael Severson   / michaeljseverson  . Animations created using https://www.manim.community/. Entry for the 3blue1brown summer of math exposition contest https://www.3blue1brown.com/blog/some1. 0:00 - Intro 3:39 - Identity 1: Partial Sums 5:19 - Identity 2: Pascal's Triangle 6:52 - Identity 3: Sum of Squares 9:01 - Summary