Julia set

A Julia set is a complex mathematical concept from the field of fractal geometry, representing a collection of points in the complex plane. These sets are created by iterating a simple formula, where each point’s behavior under repeated applications defines the set's structure. Some points lead to infinity, forming intricate, swirling patterns, while others remain bounded. Julia sets can be visualized in colorful patterns, revealing stunning shapes that repeat at different scales. They illustrate the beauty of mathematics, showing how simple rules can lead to complex and infinite designs, resembling nature's own patterns like coastlines and snowflakes.