A fractal is a natural phenomenon or a mathematical set that demonstrate a repeating shape that displays at every scale. If the replication is exactly the same at every scale, it is called a self-similar pattern. Fractals can also be nearly the same at different levels. Fractals also includes the idea of a detailed pattern that repeats itself. The complexity of nature's shapes differs in kind, not merely degree, from that of the shapes of ordinary geometry, the geometry of fractal shapes. This book based on highly acclaimed earlier work has much broader and deeper coverage and more extensive illustrations.
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