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.