Fractals

Fractals are complex geometric shapes characterized by self-similarity, meaning they display the same or similar patterns at every level of magnification. Generated through a repeating process or algorithm, these intricate structures often possess a fractal dimension that is not a whole number, reflecting how they fill space in a way that is more complex than a simple line or surface. This fascinating concept is not just a mathematical abstraction; it is found throughout the natural world in the branching of trees, the patterns of snowflakes, and the jaggedness of coastlines, and is also used to create computer-generated art and model complex systems.