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mathematics, graphics> A
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)