Fractals and Chaos

Fractals are complex patterns that repeat themselves at different scales, creating intricate designs found in nature, like snowflakes or coastlines. They exhibit self-similarity, meaning each smaller part resembles the whole. Chaos refers to systems that are highly sensitive to initial conditions, leading to unpredictable yet deterministic behavior, such as weather patterns. Together, fractals and chaos illustrate how simple rules can generate intricate, seemingly random structures and behaviors, revealing underlying order in complexity. They help us understand natural phenomena and the way complex systems evolve over time.