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Fractals are any geometric structures that have similar detail on all levels of magnification. They are often used to create beautiful patterns that many artists have implemented in their works. The study of fractals is believed to lead to a better understanding of patterns that appear in nature.
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Fast Facts
- Extension of Euclidean geometry
- New tool to describe the universe
- Makes the complex more comprehensible
- Applications from medicine to military
- Appear frequently in the paintings of Jackson Pollock
- Word derived from Latin word fractus, meaning broken
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Quotes
"Clouds are not spheres, mountains are not cones, coastlines are not circles, and bark is not smooth, nor does lightening travel in a straight line." (Mandelbrot, 1983) -
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The Mahalo Top 7
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Yale University: Panorama of Fractals and Their Uses
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Introduction to the Mandelbrot Set: A Guide for People With Little Math Experience
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Thinkquest.org: Fractals and Fractal Geometry
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Whyfiles.org: Fractals for High School Math Teachers
whyfiles.org -
Wikipedia: Fractal
en.wikipedia.org -
Intermediate: Understanding the Mathematics of Fractals
bugman123.com -
Cool Math: The Math of Fractals
coolmath.com
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Yale University: Panorama of Fractals and Their Uses
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Fractals on Amazon | View All
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Fractals, Googols, and Other Mathematical Tales - $10.95
A new treasure trove of stories that make mathematical ideas come to life with an unusual cast of characters. This book explores mathematical concepts and topics such as real numbers, exponents, dimensions, and geometry in both serious and ...
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Genuine Fractals 6 1-user Full - $159.95
Genuine Fractals 6 is the industry standard for image resizing. It is renowned across the photographic and printing industries for its ability to increase image size over 1000% without the loss of sharpness or detail that you would normally...
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Fractal Time: The Secret of 2012 and a New World Age - $24.95
<p style="margin: 0in 0in 0pt; tab-stops: -60.0pt -.5in -29.4pt -11.4pt 0in .25in .5in .75in 1.0in 1.25in 1.5in 1.75in 2.0in 2.25in 2.5in 2.75in 3.0in 3.25in 3.5in 3.75in 4.0in 4.25in 4.5in 4.75in 5.0in 5.25in 5.5in 6.0in 6.5in 7...
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Warp (Spiral Fractal) Art Poster Print - 24" X 36" - $4.99
This poster shows a black and white fractal design in a spiral pattern. This poster measures approx. 24" x 36" In colloquial usage, a fractal is "a rough or fragmented geometric shape that can be subdivided in parts, each of which is (at l...
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NOVA: Fractals - Hunting the Hidden Dimension - $24.95
Studio: Wgbh Wholesale Release Date: 03/10/2009 Run time: 56 minutes
Amazon
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Fractals on Twitter Powered by Twitter
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Ask a Question about Fractals 140 characters
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Notable Figures in Fractals
- The following links are to Wikipedia:
- Father of Fractal Geometry: BenoitMandelbrot | Mandelbrot Set
- Key Developer of Fractal Theory: Gaston Julia | Julia Set
- Early Contributor to Fractal Concepts: Waclaw Sierpinski | Sierpinski Triangle
- Famed Swedish Mathematician: Helge von Koch | Koch Snowflake (Koch Curve)
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Fractals Books and Publications
- Amazon.com: Chaos: Making a New Science
- Amazon.com: The Fractal Geometry of Nature
- Amazon.com: Fractals and Chaos in Geology and Geophysics
- Springer.com: Fractal Behaviour of the Earth System
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