Narayana's Triangles

Narayana's Triangles are a set of geometric patterns created by arranging dots based on numbers in Pascal’s Triangle. Each triangle is formed by connecting dots in specific rows, producing symmetrical, star-like shapes. These patterns reveal mathematical properties and relationships within Pascal’s Triangle, such as binomial coefficients and binomial expansions. They are often used for visualizing algebraic identities, understanding symmetry, and exploring combinatorial concepts. Essentially, Narayana’s Triangles turn numerical patterns into beautiful geometric designs, illustrating the harmony between algebra, combinatorics, and geometry in an accessible, visual way.