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Fractal geometry describes selfsimilar patterns in nature from "summary" of Complexity by Mitchell M. Waldrop

Fractal geometry offers a way to understand the repeating patterns found in nature. This branch of mathematics reveals the intricate details within seemingly simple shapes, showing how self-similarity occurs at different scales. By examining fractals, scientists can grasp the complex structures that emerge from basic rules repeated over and over again. The concept of fractals challenges traditional ideas of geometry, which often focus on smooth curves and straight lines. Instead of relying on Euclidean geometry, which assumes objects are made up of distinct points, lines, and planes, fractal geometry embraces the irregular and fragmented nature of the natural world. This approach allows researchers to capture the rough edges and irregular surfaces that define many natural phenomena. Fractal geometry provides a framework for understanding how patterns emerge in sy...
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    Complexity

    Mitchell M. Waldrop

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