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## fractal |

2 definitions found From WordNet r 1.6 [wn]: fractal n : a geometric pattern that is repeated at every scale and so cannot be represented by classical geometry From The Free On-line Dictionary of Computing (13 Mar 01) [foldoc]: fractalA fractal is a rough or fragmented geometric shape that can be subdivided in parts each of which is (at least approximately) a smaller copy of the whole. Fractals are generally self-similar (bits look like the whole) and independent of scale (they look similar, no matter how close you zoom in). Many mathematical structures are fractals; e.g. {Sierpinski triangle}, {Koch snowflake}, {Peano curve}, {Mandelbrot set} and {Lorenz attractor}. Fractals also describe many real-world objects that do not have simple geometric shapes, such as clouds, mountains, turbulence, and coastlines. {Benoit Mandelbrot}, the discoverer of the {Mandelbrot set}, coined the term fractal" in 1975 from the Latin fractus or "to break". He defines a fractal as a set for which the {Hausdorff Besicovich dimension} strictly exceeds the {topological dimension}. However, he is not satisfied with this definition as it excludes sets one would consider fractals. {sci.fractals FAQ (ftp://src.doc.ic.ac.uk/usenet/usenet-by-group/sci.fractals/)}. See also {fractal compression}, {fractal dimension}, {Iterated Function System}. {Usenet} newsgroups: {news:sci.fractals}, {news:alt.binaries.pictures.fractals}, {news:comp.graphics}. ["The Fractal Geometry of Nature", Benoit Mandelbrot]. [Are there non-self-similar fractals?] (1997-07-02)

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