Fractal – Wikipedia, the free encyclopedia

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fractalis a mathematical set that has a fractal dimension that usually exceeds its topological dimension^{[1]}and may fall between the integers.^{[2]}

Fractals are typically self-similar patterns, where *self-similar* means they are “the same from near as from far”^{[3]} Fractals may be exactly the same at every scale, or as illustrated in Figure 1, they may be *nearly* the same at different scales.^{[2]}^{[4]}^{[5]}^{[6]} The definition of *fractal*goes beyond self-similarity *per se* to exclude trivial self-similarity and include the idea of a **detailed pattern** repeating itself.^{[2]}^{:166; 18}^{[4]}^{[7]}

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