Fractal – Wikipedia, the free encyclopedia

Fractal – Wikipedia, the free encyclopedia

fractal is 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 fractalgoes 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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