Pi in Pascal's Triangle: A Stunning Discovery
2025-06-09
Mathematician Daniel Hardisky has unearthed a novel formula for pi within Pascal's Triangle, sparking considerable interest in the mathematical community. His discovery builds upon a modification of the Nilakantha Somayaji series, linking the denominators to the areas of Pythagorean triangles and cleverly representing them using binomial coefficients. The article also presents other formulas connecting pi to Pascal's Triangle and binomial coefficients, showcasing pi's surprising hidden connections within mathematics.