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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

Fractals in nature 3,876 KB

For more information on fractals see below:

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

http://earthasart.gsfc.nasa.gov/shoemaker.html

"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

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/

http://hypertextbook.com/chaos/

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

They are sometimes very simple:

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King's beautiful fractal dream

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

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.

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.

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.

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 April 20, 2024, from
     http://www.rupert.id.au/fractals/index.php

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