A fractal is a complex geometric shape that can be split into parts, each of which is a reduced-scale copy of the whole. This property is known as self-similarity. Fractals are often found in nature, such as in the branching of trees, the structure of snowflakes, or the patterns of coastlines. Mathematically, fractals can be generated by repeating a simple process over and over in an ongoing feedback loop, which can lead to infinitely intricate designs. They have applications in various fields,