A Julia Set is a complex mathematical concept that arises from the field of fractal geometry. It is created by iterating a simple mathematical function, typically involving complex numbers. Each point in the set represents a different initial value, and the resulting patterns can be visually stunning, often resembling intricate, swirling shapes.
The appearance of a Julia Set depends on the specific parameters used in the function. Some sets are connected and form beautiful, continuous shapes, while others are disconnected, creating a more fragmented look. These sets are named after the French mathematician Gaston Julia, who studied their properties in the early 20th century.