Examples of fractals are everywhere in nature. They can be found in the patterns of trees, branches, and ferns, in which each part appears to be a smaller image of the whole. They are found in the branch-like patterns of river systems, lightning, and blood vessels. They can be seen in snowflakes, seashells, crystals, and mountain ranges. We can even see the holographic and fractal-like nature of reality in the structure of the Universe itself, as the clusters of galaxies and dark matter resemble the neurons in our brain, the mycelium network of fungi, as well as the network of the man-made Internet. Joseph P. Kauffman
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Fractals are also sometimes called self-similarity, self-organizing systems, self-similar figures, or self-organizing patterns. The term was coined by Benoit Mandelbrot in 1975. Fractal geometry describes the trajectories of points in a system and relates them to each other; it is a branch of complex geometry. Fractal figures repeat, when scaled up or down, but look different at various sizes. Fractals do not have sharp edges: you can't draw a straight line through them and expect to get back the same figure.

Source: The Answer Is You: A Guide To Mental, Emotional, And Spiritual Freedom

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