Explore a fascinating 43-minute video that uncovers a stunning connection between Pythagorean triples and the Fibonacci sequence, discovered in 2007. Delve into topics such as the Pythagorean triple tree, Feuerbach's miracle, and the families of Plato, Fermat, and Pythagoras. Learn about Euclid's Elements and various proofs, while discovering why Fibonacci numbers are special. Engage with puzzles throughout the video, including a Fibonacci box challenge and a necklace puzzle. Gain insights into additional mathematical concepts like the relationship between Pythagorean triples and Pascal's triangle, and explore interesting properties of Fibonacci numbers. Benefit from supplementary resources, including research papers, Wikipedia articles, and interactive tools to further enhance your understanding of this captivating mathematical discovery.