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

▶︎
The most beautiful formula not enough people understand

▶︎
The Strange Math That Predicts (Almost) Anything

▶︎
A New Way to Look at Fibonacci Numbers

▶︎
We're 99.9% sure this pattern is true, but no one can prove it

▶︎
Why Nature Requires Complex Numbers

▶︎
Something strange happens when you "bump the base"

▶︎
Why colliding blocks compute pi

▶︎
When Math Isn’t Based in Reality

▶︎
The Professor Who Taught People How To Think (1962)

▶︎
The magic of Fibonacci numbers | Arthur Benjamin | TED

▶︎
Biggest Breakthroughs in Math: 2024

▶︎
Why do prime numbers make these spirals? | Dirichlet’s theorem and pi approximations

▶︎
Tesla’s 3-6-9 and Vortex Math: Is this really the key to the universe?

▶︎
Random Fibonacci Numbers - Numberphile

▶︎
2. The Golden Ratio & Fibonacci Numbers: Fact versus Fiction

▶︎
The Most Controversial Idea In Math

▶︎
A tale of two problem solvers | Average cube shadow area

▶︎
The Collatz Multiverse

▶︎
The Simplest Ancient Math Problem No One Could Solve

▶︎
