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Home > Tutorials > What are Fractals > Fractal Links

Fractal Links

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 The Mandelbrot Set

Fractals in nature 3,876 KB

Google Earth fractals
http://paulbourke.net/fractals/googleearth/
link added May 30, 2011

 

For more information on fractals see below:

The Simplicity of Complexity - The Mandelbrot Set
http://www.visualbots.com/mandelbrot_project.htm
link added August 18, 2007

 

Atlas of the Mandelbrot set

M. Romera
Instituto de Física Aplicada
Consejo Superior de Investigaciones Científicas
Serrano 144, 28006 Madrid, Spain

link added January 20, 2006

 

Strange Attractors:
Creating Patterns in Chaos
by Julien C. Sprott

http://sprott.physics.wisc.edu/sa.htm
Link added July 11, 2006

 

Fractal From Wikipedia, the free encyclopedia.

Fractals in nature
http://mathpaint.blogspot.com/2007/02/fractals-in-nature.html

fractalus.com
http://www.fractalus.com/

About Fractals
http://www.infinite-art.com/aboutfractals.html

Fractals, in Layman's Terms
http://www.fractalus.com/info/layman.htm

Dazzling Fractals
http://www.mathblues.com/mainpages/sampleissue/articles/1/

A collection of doodles to approximate fractal geometry
http://www.embege.com/fractals/

Dissecting Fractals in Nature
http://www.fractal.org/Fractal-Research-and-Products/Dissecting-fractals.htm

Fractals in Nature
http://classes.yale.edu/fractals/atma/FracNat/FracNat.html

Natural Fractals
http://classes.yale.edu/fractals/IMA/FB/NatFrac/NaturalFractals.html

Fractals are Fun!
http://www.inminds.co.uk/fractal.html

On cloud structure

# Clouds are fractal
# Why are clouds fractal?
# Fractal ideas
# Clouds are not fractal

Siberia from the air, 3.05.2000, part I
http://www.phys.uni.torun.pl/~duch/zdjecia/00Siberia/syb1.html

Directory of /fractals/natural/
http://sprott.physics.wisc.edu/fractals/natural/

Fractal Geometry
Yale University
Michael Frame, Benoit Mandelbrot, and Nial Neger
January 21, 2005

http://classes.yale.edu/fractals/

A Panorama of Fractals and Their Uses
Michael Frame and Benoit B. Mandelbrot
Mathematics Department, Yale University

http://classes.yale.edu/fractals/Panorama/

spanky.triumf.ca/pub/ FRACTALS/IMAGES/NATURAL/

Fractals in nature and applications
http://kluge.in-chemnitz.de/documents/fractal/node2.html


The Koch Curve
http://www.jimloy.com/fractals/koch.htm


Fractal Mathematics
http://www.hiddendimension.com/Mathematics_Main.html

http://www.sdragons.com/Fractals/fractals.htm

Fractal: From Wikipedia, the free encyclopedia.
http://en.wikipedia.org/wiki/Fractal


umbrella.gif used with permission of the author

The fractal Umbrella
http://www.maths.adelaide.edu.au/people/pscott/fractals/index.html


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
http://astronomy.swin.edu.au/~pbourke/fractals/

 

Exploring Fractals
Department of Mathematics and Statistics
University of Massachusetts Amherst
http://www.math.umass.edu/~mconnors/fractal/fractal.html


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
http://www.math.com/students/wonders/fractals.html

 

http://hypertextbook.com/chaos/

http://plus.maths.org/issue9/features/mandelbrot/


Extracting beauty from chaos by Andy Burbanks
http://plus.maths.org/issue9/features/lyapunov/index.html


The origins of fractals by Martin J. Turner
http://plus.maths.org/issue6/turner1/index.html


Modelling nature with fractals by Martin J. Turner
http://plus.maths.org/issue6/turner2/index.html

Jackson's fractals
http://www.wargaming.net/Programming/46/Fractals_index.htm

The art of numbers by Kona Macphee
http://plus.maths.org/issue8/features/art/

Eric W. Weisstein. "Mandelbrot Set." From MathWorld--A Wolfram Web Resource. http://mathworld.wolfram.com/MandelbrotSet.html

What is Chaos? a five-part online course for everyone
http://order.ph.utexas.edu/chaos/

Introduction to the Mandelbrot Set A guide for people with little math experience. By David Dewey
http://www.ddewey.net/mandelbrot/

The Secret Life of Crowds
http://www.geocities.com/Omegaman_UK/crowd2.html

Fractals-a geometry of nature
http://www.fortunecity.com/emachines/e11/86/mandel.html

 

Fractal Galleries:

The Fractal Paintings of Nick Chlebnikowski
http://www.fractalpainting.com/
The infinite art of Janet Parke  

Ammon

© 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.
http://www.infinite-art.com/

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...
http://www.parkenet.org/jp/attic.html

 

Some images from my own exhibition

see some UltraFractal examples including Parameters

Jock Cooper's Fractal Recursions
http://www.fractal-recursions.com

http://www.gwfa.de/fractal/1/index.html

 


Youtube:

 


Fractal Programs:

Fractals are mathematical shapes that are created using programs like Xaos, UltraFractal, Fractal eXtreme and Fractint

Apophysis
http://www.apophysis.org/index.html

 

http://www.chaospro.de/index.html

http://www.seanet.com/~garyteachout/java/tree3.html

XaoS is a fantastic fractal zooming program.
Home page: http://xaos.sourceforge.net/index.html

XaoS

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.

Ultra Fractal  
Ultra Fractal is highly recommended



Download version 2.04 (will fit on a floppy disk)
Ultra Fractal 2.04 Notes
or the latest version 3.00 (15 day trial)
http://www.ultrafractal.com       

Fractal eXtreme

 http://www.cygnus-software.com

Fractint

Fractint runs on older DOS computers though there is a Windows version

http://spanky.triumf.ca/www/fractint/fractint.html

 

Fractals surround us in nature where ever we look. Some examples include:

A large collection of software available for Mac OS computers.
http://hypertextbook.com/chaos/92b.shtml

They are sometimes very simple:



The Himalaya Mountains
are also a natural fractal

The Himalayas
Image taken 2/17/2002 by ASTER
Hi Res Version

Lichtenberg Figure

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,
http://www.teslamania.com

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.

fractalus.com
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
again—we are always adding new material.
http://www.fractalus.com/index.html

Fractal eXtreme Home Page
http://www.cygnus-software.com

Some of my fractals
http://www.giant.net.au/users/rupert/fractals/fractals.html

 

References:

Benoit B. Mandelbrot (1983). The fractal geometry of nature. New York: W. H. Freeman.

http://innopac.ballarat.edu.au/search/i0387972722


APA citation:
Russell, R. (2016, July 04, 02:04 pm). Fractal Links
     Retrieved May 23, 2017, from
     http://www.rupert.id.au/fractals/index.php

Last refreshed: May 23 2017. 04:55.22 pm

rupert dot russell at acu dot edu dot au Support Wikipedia

Creative Commons License This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 2.5 License.


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