Gig Harbor High School
Mathematics Department

Fractals
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A fractal is a rough or fragmented geometric shape that can be subdivided in parts, each of which is (at least approximately) a reduced-size copy of the whole. Fractals are generally self-similar and independent of scale.

What is fractal art?
   The term fractal art applies mainly to a form of digital abstract art that seeks to reflect and emphasize the eternal expressions of order and chaos that permeates Nature’s structures and behaviors as well as the intricacies of humanity through the use of self-similar patterns and shapes. Although artists have been using self-repeating designs since time immemorial, this new form of algorithmic art chooses fractal geometry functions and the computational capabilities of the computer as its tools for the creation of infinitely detailed or stunningly simple forms that reveal and enhance the fantastic visions that comes from the realm of numbers.
   Emerging from the studies of fractal geometry in the last third of the twentieth century and the popularity of the microcomputer in the 1980’s, it rapidly evolved throughout that decade, and especially in the 1990’s, thanks to the development of faster processors and the advent of the Internet as a medium of mass communication. Later on, the same recursive principles of fractal imaging have been applied to music to create what has been termed fractal music.

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