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Self-similarity structure |
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Nature’s geometry |
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“
Mountains are not cones, clouds are not spheres and bark is not smooth nor
does lightning travel in a straight line” |
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- Benoit Mandelbrot |
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Rivers and ferns |
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Paris 1800’s. |
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Photography revolutionized art, architecture and
mathematics |
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Cantor Set - found in Egypt |
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Lay dormant until the advent of computers |
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Line segments that repeat them selves at several
levels of magnification |
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Koch Curve |
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Infinite length and no area |
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Curves that are nowhere differentiable |
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Sierpinski Triangle |
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Dependent on length of measurements |
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Fry Richardson - boarder between Spain and
Portugal |
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Physicist paper folding 1967 |
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Jurassic Park |
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FractaSketch |
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Mandelbrot Set |
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Julia Sets |
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MandelMovie |
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Mountains and aggregate growth |
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Newton’s Method |
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Fractal image compression |
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Chaos |
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Science - crystal growth |
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Medicine - lung, kidney and liver |
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African art and villages - Ethiopian Cross |
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Option pricing |
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Paintings and posters |
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Fractal pop-culture |
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The tie-dye of the 90’s |
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Music - ocean waves |
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Fashion - video |
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Mandelbrot, Peitgen, Voss and Deitmar |
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Fractal poetry |
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“Triangles outside triangles outside triangles,
ad infinitum the Koch curve goes; it's infinite, yet infinitesimal, this
self-similarity shows. A length too great to measure, an area too small to
see, what else can this
contradiction be - behold fractal geometry." |
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-The Fractal Explorer |
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Dynamic Software |
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P.O. Box 13991 |
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Berkeley, California 94712 |
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U.S.A. |
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Email fractal@wahl.org |
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Web Site www.wahl.org/dynamic |
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Phone 510-548-8677 |
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Notes