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Home > Tutorials > What are Fractals > Fractal Images

Fractal Images

 


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

 

 

 

The most famous fractal is the Mandelbrot set The Mandelbrot Set

Fractals in nature 3,876 KB

 

For more information on fractals see below:

Eastern Greenland, Summer Thaw

Click here to view high-resolution version (2.44MB)
  Image Acquired:  July 13, 2007

http://earthobservatory.nasa.gov/NaturalHazards/natural_hazards_v2.php3?img_id=14378

 

Shoemaker Crater

http://earthasart.gsfc.nasa.gov/shoemaker.htm
l

"Image courtesy of USGS National Center for EROS and NASA Landsat Project Science Office"

 

Atlas of the Mandelbrot set

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

Atlas of the Mandelbrot set

link added January 20, 2006

 


http://www.photo.net/photodb/photo?photo_id=1236856

 


the sky through fractals
© All rights reserved 2006, "there goes the light" (used with permission)

Hi Rupert- sure, I'd be honoured if you'd like to
use the photo on your webpage!

Cheers,
Anne

 

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/

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


© Copyright 2002, Jim Loy (used with permission)
The Koch Curve
http://www.jimloy.com/fractals/koch.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



© 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/

 

Chaos hypertextbook

http://hypertextbook.com/chaos/

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


They are sometimes very simple:

Koch Snowflake

Sorry, your browser doesn't support Java(tm).
King's beautiful fractal dream

King's beautiful fractal dream


Often they are very complex and have wonderful
shapes that we may recognize in nature
many have wonderful colours:

 

Natural fractal pattern

Lichtenberg Figure
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 Himalaya Mountains
are also a natural fractal


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

A fractal image generated using Ultra Fractal.

 

Plate 14: Dawn over the Himalayas, Gemini IV image c Dr. Vehrenberg KG.  

Romanesco broccoli fractals. Photograoh taken August 21, 2004 with a Canon D60 camera and Canon 28-135mm lenses.
This is a public domain photo from PDphoto.org

 

The most famous fractal is the Mandelbrot Set.

The Mandelbrot SetMSet.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.

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 Images
     Retrieved March 31, 2017, from
     http://www.rupert.id.au/fractals/index.php

Last refreshed: March 31 2017. 05:35.44 am

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