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→Fractals and the "theory of roughness" 分形与“粗糙度理论”
Fractals are also found in human pursuits, such as music, painting, architecture, and [[stock market]] prices. Mandelbrot believed that fractals, far from being unnatural, were in many ways more intuitive and natural than the artificially smooth objects of traditional [[Euclidean geometry]]: <blockquote>Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line.<br /> —Mandelbrot, in his introduction to ''[[The Fractal Geometry of Nature]]''</blockquote>
Fractals are also found in human pursuits, such as music, painting, architecture, and [[stock market]] prices. Mandelbrot believed that fractals, far from being unnatural, were in many ways more intuitive and natural than the artificially smooth objects of traditional [[Euclidean geometry]]: <blockquote>Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line.<br /> —Mandelbrot, in his introduction to ''[[The Fractal Geometry of Nature]]''</blockquote>
Fractals are also found in human pursuits, such as music, painting, architecture, and stock market prices. Mandelbrot believed that fractals, far from being unnatural, were in many ways more intuitive and natural than the artificially smooth objects of traditional Euclidean geometry:
Fractals are also found in human pursuits, such as music, painting, architecture, and stock market prices. Mandelbrot believed that fractals, far from being unnatural, were in many ways more intuitive and natural than the artificially smooth objects of traditional Euclidean geometry:Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightning travel in a straight line.—Mandelbrot, in his introduction to The Fractal Geometry of Nature
分形也存在于人类的追求中，例如音乐，绘画，建筑和股票市场价格。曼德布洛特认为，分形超脱于自然，而且在许多方面比传统欧几里得几何形状的人工光滑物体更直观，更自然：
分形也存在于人类的追求中，例如音乐，绘画，建筑和股票市场价格。曼德布洛特认为，分形超脱于自然，而且在许多方面比传统欧几里得几何形状的人工光滑物体更直观，更自然：
-来自于曼德布洛特的《大自然的分形几何学》介绍
-来自于曼德布洛特的《大自然的分形几何学》介绍
[[文件:Mandel zoom 08 satellite antenna.jpg|缩略图|右|曼德布洛特集合的部分]]
[[文件:Mandel zoom 08 satellite antenna.jpg|缩略图|右|曼德布洛特集合的部分]]