
Fractals Before Computers!
A fractal is a pattern that is repeated at a smaller scale to make shapes that cannot be idenified by basic geometry. Fractals are used mostly in computer drawings of abnormal patterns and structures in nature. Fractals are not the boring straight line or simple curve we expect from a simple equation, instead they are very complex patterns.
Fractals are images that can be zoomed in to infinity without being pixelated. This is amazing because regular images, like your family photo, could not be zoomed in without being pixelated. Pixelated means that the image becomes distorted. Fractals are recursive. Recursive means that it repeats.
“In principle the Mandelbrot Set could have been discovered as soon as men learned to count. But even if they never grew tired, and never made a mistake, all the human beings who have ever existed would not have sufficed to do the elementary arithmetic required to produce a Mandelbrot Set of quite modest magnification" says Arthur C. Clarke the writer of The Space Odyssey. http://en.wikipedia.org/wiki/Beno%C3%AEt_Mandelbrot
Benoît
B. Mandelbrot also put his ideas to
work in cosmology.
This is
the study of the
universe
in its totality, and by extension,
humanity's place in it. He offered
up in 1974 a
different resolution to the dark night sky riddle, which is a riddle
created by Arthur C. Clarke. Demonstrating
the consequences of fractal theory as a unique resolution of the
paradox. Paradox is a seemingly opposite, or an apparent opposition
that expresses a theatrical truth. He found that if the stars in the
universe were fractally distributed, it would not be necessary to
rely on the Big Bang Theory to explain Olbers' Paradox. Olbers'
Paradox is the argument that the darkness of
the night
sky
conflicts with the supposition of an infinite and eternal static
universe. The Big Bang Theory is a model of the universe that has
become well supported by several independent observations.
Nature
has many fractals. What
may first come to mind would be a snowflake. Others
like
trees,
plants, and fruit are other examples. They connect to everything we
know. The fractals help us understand the string theory which is a
“complete, unified, and consistent
description
of the
fundamental structure of our universe"http://en.wikipedia.org/wiki/String_theory
Scientists are still developing mathmatical
equations for the string
theory. Mandlebrot has played a huge part in developing fractals
Whenever
a character, like Mickey Mouse, can not be played by an actor It has
to
be generated
by some sort of fractal
generator. Think about how
much better the
special effects in movies has become.
Cartoons
could not have been such a hit if Benoît B. Mandelbrot didn't
discover fractals. This has helped a lot of film companies make a
living.
Fractals
are now amazing after what computers do for us. We now see them
almost everywhere,
everyday. For example, when your looking at the
forecast on the internet or on the telivision, you will see radars.
These radars are fractals! They use their satallites to track down
their information and then they convert their information into
fractals. This is
just
the beginning to the amazing fractals we see
today! Today scientists and other people have uncovered many other
galaxy's and have found out that many are fractals. We now can learn
a lot more about fractals. Join the race and discover fractals that
have never been dicovered before!
Here's where we got our information:
http://dictionary.reference.com/browse/fractals
http://en.wikipedia.org/wiki/String_theory
http://en.wikipedia.org/wiki/Beno%C3%AEt_Mandelbrot
http://library.thinkquest.org/3288/chaos.html
http://math.youngzones.org/Fractal%20webpages/history_fractals.html