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Home > Tutorials > What are Fractals > 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

Fractals in nature 3,876 KB

**Google Earth fractals**

http://paulbourke.net/fractals/googleearth/

link added May 30, 2011

The Simplicity of Complexity - The Mandelbrot Set

http://www.visualbots.com/mandelbrot_project.htm

link added August 18, 2007

M. Romera

Instituto de Física Aplicada

Consejo Superior de Investigaciones Científicas

Serrano 144, 28006 Madrid, Spain

link added January 20, 2006

Creating Patterns in Chaos

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

# 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 © 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

Home page: http://xaos.sourceforge.net/index.html

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 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

http://www.cygnus-software.com

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:

- Clouds
- River deltas
- Mountain ranges
- Coastlines
- Trees

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 June 23, 2017, from

http://www.rupert.id.au/fractals/index.php

Last refreshed: June 23 2017. 06:30.06 pm

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