Fractal geometry is a branch of mathematics that studies shapes and patterns that repeat at different scales. Unlike traditional geometry, which focuses on simple shapes like squares and circles, fractals can be complex and irregular. A common example of a fractal is the Mandelbrot set, where zooming in reveals intricate patterns that look similar to the whole shape. These fascinating patterns can be found in nature, such as in snowflakes, mountains, and trees. Fractal geometry helps us understand and describe these natural forms, showing how complex structures can arise from simple rules. This field has applications in various areas, including computer graphics and modeling natural phenomena.