fractal self similarity a fractal is a mathematical object that exhibits self similarity — it...
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A fractalfractal is a mathematical object that exhibits self self
similaritysimilarity — it looks the same at any scale
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Benoit MandelbrotProfessor of Mathematical Sciences
Yale University
Coined the Coined the word “fractal” word “fractal” in 1975in 1975
http://www-gap.dcs.st-and.ac.uk/~history/PictDisplay/Mandelbrot.html
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Fractal Sequence:• A fractal sequencefractal sequence contains an infinite number of copies of
itself, embedded within itself.• It is a pattern within a pattern within a
pattern
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• Fractals are often formed by what is called an iterative process
• to repeat exactly the same step over and over
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• Fractals are often formed by what is called an itertive process
• to repeat exactly the same step over and over
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Mathematics & Science Center
By: Corey Kisner and Cari FaszewskiBy: Corey Kisner and Cari FaszewskiMay 18, 2000May 18, 2000
Sierpinski Carpet
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2004
http://astronomy.swin.edu.au/~pbourke/povray/povfrac/final/
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