The Pigeon Hole Principle - 7 Gorgeous Proofs

Explore seven fascinating applications of the Pigeon Hole Principle in mathematics through this 34-minute video. Delve into intriguing problems such as the hairy twins puzzle, pigeons on a sphere, recurring decimals, party mathematics, a Rubik's cube property, an International Mathematical Olympiad challenge, and a renowned mathematical card trick. Learn how this simple principle yields surprising and profound results across various mathematical domains, with each chapter offering a unique perspective on its versatility and power.

​ Intro.
​ Chapter 1: Hairy twins.
​ Chapter 2: Five pigeons on a sphere.
​ Chapter 3: Repeating decimals.
Chapter 4: Partying pigeons.
​ Chapter 5: Repeating Rubik.
​ Chapter 6: Pigeons at the Olympiad.
Chapter 7: The best mathematical card trick ever.
​ Supporters.