Fractal generation is the process of creating complex geometric shapes that exhibit self-similarity at different scales. These shapes, known as fractals, can be found in nature, such as in snowflakes, mountains, and trees. The mathematical algorithms used in fractal generation often involve iterative processes, where simple rules are repeatedly applied to produce intricate patterns. One popular method of fractal generation is the Mandelbrot set, which visualizes how complex numbers behave under iteration. By plotting points in the complex plane, the Mandelbrot set reveals stunning images that showcase the beauty of mathematical relationships. Fractal generation has applications in computer graphics, art, and modeling natural phenomena.