Yang Hui Triangle

Yang Hui's Triangle, also known as Pascal's Triangle, is a triangular array of numbers where each number is the sum of the two numbers directly above it. It starts with a single 1 at the top, and each subsequent row expands downward, building on the previous one. The triangle reveals patterns and relationships, such as binomial coefficients used in algebra and probability. It's useful for calculating combinations, expanding binomials, and understanding mathematical properties. The triangle is named after Chinese mathematician Yang Hui, who studied it in the 13th century, although similar patterns appeared earlier in other cultures.