Fractals are pictures made with math

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FRACTALS By Marie McCrary

• Fractals are pictures made with math!
• They are geometric patterns repeated over and
  over to produce irregular shapes and surfaces.
• Fractals are used in computer modeling of
  irregular patterns and structures in nature.

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Julia Fractals
Gaston Maurice Julia (February 3, 1893 March
19, 1978) was a French mathematician who devised
the formula for the Julia fractal.
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Mandelbrot Fractals
Benoît B. Mandelbrot, (born November 20, 1924) is
a French-Jewish-American mathematician, best
known as the "father of fractal geometry".
Clouds are not spheres, mountains are not cones,
coastlines are not circles, and bark is not
smooth, nor does lightning travel in a straight
line. B.Mandelbrot, introduction to The Fractal
Geometry of Nature
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Fractals in Nature
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Fractals in Vegetables!
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Sierpinski Triangle Pattern
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Step 1
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Step 2
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Step 3
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Step 4
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Step 5
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Sierpinski Triangle Pattern