Fractals%20An%20MAT%20Graduate%20Project

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FractalsAn MAT Graduate Project

• By, Linda Johnson

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Fractals What are they?

• The term fractal comes from the Latin fractus
  (broken). A fractal is an object that displays
  self-similarity at any magnification.

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The Mandelbrot Set
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Julia Sets
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The Sierpinski Triangle
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The Koch Curve/Snowflake
http//ejad.best.vwh.net/java/fractals/koch.shtml
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L-Systems

• The Dragon Curve or
• The Jurassic Park Fractal

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How are Fractals Used?
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Other Applications

• Estimate coastlines
• Authenticate drip paintings
• Stock prices on wall street
• Image compression
• Models for the branching structure of plants

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Lesson Plans

• I have researched and categorized web-sites that
  have lesson plans for teaching fractals.
• Copies are included in the paper and links are
  included on the digital format of the project.

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Lesson Plan Links

• Cynthia Lanius Fractals Unit, http//math.rice.ed
  u/lanius/fractals
• Fractals and Introduction, http//ejad.best.vwh.ne
  t/java/fractals/intro.shtml
• Geometricarts, http//geometricarts.googlepages.co
  m/fractals
• The Jurassic Park Fractal, http//sierra.nmsu.edu/
  morandi/CourseMaterials/JurassicParkFractal.html
• 108 Fractal Lesson Plans Reviewed by Teachers,
  http//www.lessonplanet.com/directory/Math/Fractal
  s