A fractal is a natural phenomenon or a mathematical set that exhibits a repeating pattern 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. This latter pattern is illustrated in Figure 1. Fractals also includes the idea...

Found on http://en.wikipedia.org/wiki/Fractal

(mathematics) a geometric pattern that is repeated at every scale and so cannot be represented by classical geometry

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*n]* - (mathematics) a geometric pattern that is repeated at every scale and so cannot be represented by classical geometry

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*noun* (mathematics) a geometric pattern that is repeated at every scale and so cannot be represented by classical geometry

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*[video game]* Fractal (full title: Fractal: Make Blooms Not War) is a puzzle video game from Philadelphia-based studio Cipher Prime. The game involves pushing hexagonal fragments together to form large hexagons and chain reactions. Fractal was first released by Cipher Prime via their website for $14.99 on May 26, 2010 for Mac and Windows PC`...

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A figure with repeating patterns containing shapes that are like the whole but of different sizes throughout

Example:

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A geometric shape that can be subdivided at any scale into parts that are, at least approximately, reduced-size copies of the whole. The name `fractal,” from the Latin fractus meaning a broken surface, was coined by Benoit Mandelbrot in 1975. The key property of fractals is self-similarity, which me...

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A mathematically generated pattern that is reproducible at any magnification or reduction

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A mathematically-generated pattern with an infinite amount of image detail.

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An object in which the parts are in some way related to the whole. That is, the individual components are 'self-similar.' An example is the branching network in a tree. While each branch, and each successive smaller branching is different, they are qualitatively similar to the structure of the whole tree.

Found on http://www.duke.edu/~charvey/Classes/wpg/bfglosf.htm

An object with a fractal dimension. Fractals are self-similar and may be deterministic or stochastic. See also Cantor Set, Diffusion Limited Aggregation, IFS, Julia Set, L-Systems, MRCM, Mandelbrot Set, and Strange Attractor.

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Fractional Dimension. A mathematical concept that is based upon the principle that there are an infinite number of dimensions.

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in mathematics, any of a class of complex geometric shapes that commonly have `fractional dimension,` a concept first introduced by the mathematician ... [4 related articles]

Found on http://www.britannica.com/eb/a-z/f/53

Irregular shape or surface produced by a procedure of repeated subdivision. Generated on a computer screen, fractals are used in creating models of geographical or biological processes (for example, the creation of a coastline by erosion or accretion, or the growth of plants). Sets of curves with such discordant properties were developed in the 19t...

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