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Hunting the Hidden Dimension

Links & Books

Links

Benoit Mandelbrot
www.math.yale.edu/mandelbrot
Read interviews with fractal pioneer Benoit Mandelbrot and find out more about his research at his Yale University home page.


The Enquist Lab
eeb37.biosci.arizona.edu/~brian/Department_of_Ecology_and_Evolutionary_Biology/Enquist_Lab.html
Brian Enquist and his University of Arizona team study the occurrence of fractal patterns in nature.


Fractals For Students
math.rice.edu/~lanius/frac
Teachers and students will find concise explanations to fractal questions at this site geared toward middle and high school education.


Fractal Basics
classes.yale.edu/fractals
Learn about self-similarity and fractal architecture, or check out examples of fractal generators at this Yale University page.


TED: African Fractals, In Buildings and Braids
www.ted.com/index.php/talks/ron_eglash_on_african_fractals.html
Mathematician Ron Eglash describes his study of fractal patterns in Africa in this 2007 Technology, Entertainment, Design lecture.


Mandelbrot App
iphone.alpheccar.org/2008/08/mandelbrot-13/
Explore the depths of the Mandelbrot set from the comfort of your iPhone with this downloadable application.


The Electric Sheep Project
www.electricsheep.org
This open source screen saver uses distributed computing to produce morphing, abstract, beautiful, fractal animations.


Books

The Fractal Geometry of Nature
by Benoit Mandelbrot. W.H. Freeman and Company, 1977.

The Colors of Infinity: The Beauty and Power of Fractals
by Nigel Lesmoir-Gordon. Clear Books, 2004.

Fractals: The Patterns of Chaos, A New Aesthetic of Art, Science, and Nature
by John Briggs. Simon & Schuster, 1992.

Fractals: Endlessly Repeated Geometrical Figures
by Hans Lauwerier. Princeton University Press, 1991.

Articles

"What is a Dimension Anyway?"
Scientific American, June 25, 2008.
www.sciam.com/article.cfm?id=what-is-a-dimension-anyway

"Self-Similarity and the Geometric Requirements for Frequency Independence in Antennae"
by Robert Hohlfeld and Nathan Cohen. Fractals, Vol. 7, Issue 1, 79-84, 1999.

"Life: The Basic Plan"
by Shanti Menon. Discover Magazine, October 1, 1997.
discovermagazine.com/1997/oct/lifethebasicplan1249/?searchterm=fractals

"How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension"
by Benoît Mandelbrot. Science, Vol. 156, Issue 3775, 636-638, May 5, 1967.

Related NOVA Content

Infinite Secrets
A battered manuscript turns up after 1,000 years, revealing the mind of the Greek genius Archimedes.

The Proof
For over 350 years, some of the greatest minds of science struggled to prove what was known as Fermat's Last Theorem—the idea that a certain simple equation had no solutions.

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