Iterative Function Systems

Iterative Function Systems (IFS) are mathematical models used to create complex shapes and patterns, particularly in fractals. They work by repeatedly applying simple functions to an initial shape or point. Each function transforms the shape in a specific way, such as shrinking, rotating, or shifting it. By combining these transformations over many iterations, intricate designs emerge, resembling natural objects like trees or clouds. IFS are popular in computer graphics, natural phenomena modeling, and art because they efficiently generate detailed patterns from relatively simple rules.