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- 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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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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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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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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