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FRACTUS/FRACTALS
With regard to computer graphics, fractals are a lossy
compression method used for color
images. Providing ratios of 100:1 or greater, fractals are
especially suited to natural objects,
such as trees, clouds and rivers. Fractals turn an image into a
set of data and an algorithm for
expanding it back to the original.
Stemming from "fractus," which is Latin for broken or
fragmented, the term fractals was coined
by IBM Fellow and doctor of mathematics Benoit Mandelbrot, who
expanded on ideas from
earlier mathematicians and discovered similarities in chaotic
and random events and shapes.
Mandelbrot determined that there are repeating patterns in the
architecture of nature.
As Gregg Braden put it in his extraordinary book "Fractal Time,
The Secret of 2012 and a New
World Age," which deals with patterns and predictions leading to
the present era: "Nature usesa few simple, self-similar, and
repeating patterns-- fractals --to build energy and atoms into
the
familiar forms of everything from roots, rivers, and trees, to
rocks, mountains, and us."
fractal geometry, branch ofmathematics concerned with irregular
patterns made of parts that
are in some way similar to the whole, e.g., twigs and tree
branches, a property called self-
similarity or self-symmetry. Unlike conventional geometry, which
is concerned with regular
shapes and whole-number dimensions, such as lines
(one-dimensional) and cones (three-
dimensional), fractal geometry deals with shapes found in nature
that have non-integer, or
fractal, dimensions-linelike rivers with a fractal dimension of
about 1.2 and conelike mountains
with a fractal dimension between 2 and 3.
Fractal geometry developed from Benoit Mandelbrot's study of
complexity and chaos (see
chaos theory). Beginning in 1961, he published a series of
studies on fluctuations of the stock
market, the turbulent motion of fluids, the distribution of
galaxies in the universe, and on
irregular shorelines on the English coast. By 1975 Mandelbrot
had developed a theory of
fractals that became a serious subject for mathematical study.
Fractal geometry has been
applied to such diverse fields as the stock market, chemical
industry, meteorology, and
computer graphics.
What are fractals?
A fractal is a set of points that is too irregular to be
described by traditional geometric terms,
but that often have some degree of self-similarity; that is,
they are made of parts that resemble
the whole. They are used in image processing to compress data
and to depict apparently
chaotic objects in nature such as mountains or coastlines.
Scientists also use fractals to better
comprehend rainfall trends, patterns formed by clouds and waves,
and the distribution of
vegetation. Fractals are also used to create computer-generated
art.
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A type of pattern used in technical analysis to predict a
reversal in the current trend. A fractal
pattern consists of five bars and is identified when the price
meets the following characteristics:
1. A shift from a downtrend to an uptrend occurs when the lowest
bar is located in the middle
of the pattern and two bars with successively higher lows are
positioned around it.
2. A shift from an uptrend to a downtrend occurs when the
highest bar is located in the middle
of the pattern and two bars with successively lower highs are
positioned around it.
Investopedia Says:
Fractal signals are most useful when used in conjunction with
other technical indicators, such as
Fibonacci retracement or various moving averages. It should be
noted that this is not a widely
used indicator, so it may not be available for every type of
charting application. But various
third parties have developed various plug-ins which make using
fractals possible.
