Fractals are selfsimilar patterns found in chaos from "summary" of Chaos by James Gleick
Fractals offer a way of seeing chaos. They are shapes that look almost the same at different levels of magnification. To understand them is to understand the essential structure of chaos. Fractals are the mathematical language of chaos, revealing its patterns. They are shapes that contain an infinite complexity, yet are generated by simple rules. Their self-similarity means that no matter how closely you examine them, you see the same patterns repeated over and over again. This property gives them a unique beauty and power. Fractals can be found in many natural phenomena, from coastlines to clouds to the branching of trees. They are the fingerprints of chaos in the natural world. The complexity of these natural forms can be captured and understood through the lens of fractals. By studying them, we can begin to unravel the mysteries of chaos and complexity. In chaos theory, fractals are a key concept. They are a bridge between the ordered and the chaotic, the simple and the complex. They allow us to see the hidden order in seemingly random systems. Fractals are a way of visualizing the intricate patterns that emerge from chaos. They are a window into a world of infinite complexity. The beauty of fractals lies in their simplicity and complexity. They are generated by simple mathematical formulas, yet their patterns are endlessly intricate. They are a paradox, a blend of order and disorder. Fractals are a way of understanding chaos, of making sense of the seemingly random and unpredictable. They are a tool for exploring the hidden order in the chaos of the natural world.
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