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Clouds are not spheres, mountains are not cones,
coastlines are not circles and bark is not smooth,
nor does lightning travel in a straight line.
- Benoit Mandelbrot
He Conceived the Mathematics of Roughness by Jim Holt
The most famous fractal is the Mandelbrot set
Fractals in nature 3,876 KB
Google Earth fractals
link added May 30, 2011
The Simplicity of Complexity - The Mandelbrot Set
link added August 18, 2007
Atlas of the Mandelbrot set
Instituto de Física Aplicada
Consejo Superior de Investigaciones Científicas
Serrano 144, 28006 Madrid, Spain
link added January 20, 2006
Link added July 11, 2006
Fractal From Wikipedia, the free encyclopedia.
Fractals in nature
Fractals, in Layman's Terms
A collection of doodles to approximate fractal geometry
Dissecting Fractals in Nature
Fractals in Nature
Fractals are Fun!
# Clouds are fractal
# Why are clouds fractal?
# Fractal ideas
# Clouds are not fractal
Siberia from the air, 3.05.2000, part I
Directory of /fractals/natural/
Michael Frame, Benoit Mandelbrot, and Nial Neger
January 21, 2005
A Panorama of Fractals and Their Uses
Michael Frame and Benoit B. Mandelbrot
Mathematics Department, Yale University
Fractals in nature and applications
The Koch Curve
Fractal: From Wikipedia, the free encyclopedia.
umbrella.gif used with permission of the author
The fractal Umbrella
Alan Beardon's from the University of Cambridge has a page on Fractals http://www.motivate.maths.org/conferences/conference.html?conf_id=19
My Ultra Fractal 2.04 Notes & my XaoS Notes
© Copyright 2005, Paul Bourke (used with permission)
F r a c t a l s , C h a o s
Department of Mathematics and Statistics
University of Massachusetts Amherst
Cynthia Lanius's page on fractals http://math.rice.edu/~lanius/frac/
Eric W. Weisstein. "Fractal." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/Fractal.html
Paul Bourke's page on F r a c t a l s , C h a o s http://astronomy.swin.edu.au/~pbourke/fractals/
Chaos Theory: The Mergence of Science and Philosophy http://www.duke.edu/~mjd/chaos/Ch3.htm
Fall Into Fractals
Extracting beauty from chaos by Andy Burbanks
The origins of fractals by Martin J. Turner
Modelling nature with fractals by Martin J. Turner
The art of numbers by Kona Macphee
Eric W. Weisstein. "Mandelbrot Set." From MathWorld--A Wolfram Web
What is Chaos? a five-part online course for everyone
Introduction to the Mandelbrot Set A guide for people with little math experience.
By David Dewey
The Secret Life of Crowds
Fractals-a geometry of nature
The Fractal Paintings of Nick Chlebnikowski
The infinite art of Janet Parke
© Copyright 2005, Janet Parke (used with permission)
My work is composed primarily of computer generated, mathematically-inspired, abstract images which
powerfully reflect the beauty of mathematics that is often obscured by dry formulae and analyses.
There are some images which, while not my best, have some significance to me -- intriguing shape, interesting texture, or a sentimental value because of what I learned or who I became during their creation. I'm going to keep them up here in the attic...
Some images from my own exhibition
see some UltraFractal examples including Parameters
Jock Cooper's Fractal Recursions
Fractals are mathematical shapes that are created using programs like Xaos,
UltraFractal, Fractal eXtreme and Fractint
Download the approprate version:
Note the only difference in these two versions is how the desktop shortcuts are created.
XaoS Windows 98 version 3.1
XaoS is distributed under the the GNU General Public License. The licenses for most software are designed to take away your freedom to share and change it. By contrast, the GNU General Public License is intended to guarantee your freedom to share and change free software--to make sure the software is free for all its users.
This program is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License for more details.
Fractint runs on older DOS computers though there is a Windows version
Fractals surround us in nature where ever we look. Some examples include:
A large collection of software available for Mac OS computers.
They are sometimes very simple:
The Himalaya Mountains
are also a natural fractal
Image taken 2/17/2002 by ASTER
Hi Res Version
High voltage dielectric breakdown within a block
of plexiglas creates a beautiful fractal pattern
called a Lichtenberg_figure. The branching
discharges ultimately become hairlike,
but are thought to extend down to the
molecular level. Bert Hickman,
The most famous fractal is the Mandelbrot Set. MSet.ufr Zipped with Winzip
The edge of the Mandelbrot Set is infinitely complex and contains an infinite number of tiny Mandelbrots, each of which contains an infinite number of other tiny Mandelbrots.
Our goal in presenting this site to you is to show you the very best in fractal
art. There are many reasons this site is still on the net, after nearly three years.
Mainly it's because we just love what we do. It's fun, relaxing, and an outlet for
creativity. We hope you like what you see, and that you will come back
againwe are always adding new material.
Fractal eXtreme Home Page
of my fractals
Benoit B. Mandelbrot (1983). The fractal geometry of nature. New York: W. H. Freeman.
Russell, R. (2016, July 04, 02:04 pm). Fractal Links
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