FRACTALS
What are Fractals?
The word "Fractal" was coined from the Latin
word, "fractus" with a rough translation meaning "broken." Benoit
Mandelbrot, who started working with fractals in the 1960's, informally
defined fractals as, "shapes that are equally complex in their details
as in their overall form." In other words, a fractal is a rough or
fragmented geometric shape that can be subdivided in parts, each of
which is generally a reduced-size copy of the whole. Fractals
often exhibit a self-similarity quite independent of scaling factors.
From a blending of mathematics, science and
technology, computer generated images (CGI) of Fractals brings a wide
range of infinite possibilities into the world of Abstract Art. The
Fractals generated make use of non-linear dynamic system equations that
are associated with Chaos Theory. As a science, Chaos theory deals with
finding the underlying order of those seeming random events of the
universe. In generating Fractals, the Time function within the formulas
have been replaced with feedback steps and other variables have been
chosen or randomly generated to bring forth wonderfully imaginative
worlds of "what if's."
The most notable of Nature's Fractals can
often be observed between the interfaces of the elements, lying between
the boundaries of land and water, land and sky, cloud and sky, oil and
water, etc. Snowflakes, sea shells, coral reef formations, coast lines,
trees, ferns, rivers, mountains, and microbes are just a small sampling
of the Fractals produced by Nature. The patterns of
fractalization is all around us in our environment and all we need do
is to notice the Fractals within the grain of wood, the crystallization
within minerals/rocks, the branching patterns of plants, and even the
patterns of our own fingerprints. Once again, Art imitates Nature.
CHAOS THEORY
"Physicists like to think that all you have to do is say, these are the conditions, now what happens next?"
-Richard P. Feynman
Mathematics in the age of the computer.
What is Chaos?
A five-part online course for everyone.
Chaos Project
Virtual Chaos
A theory of everything.
Chaos Theory
A Brief Introduction
CHAOS IN THE CNS
THEORY AND PRACTICE
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