Fractals Notes
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Fractals Notes

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Describes what fractals are and gives examples of them

Describes what fractals are and gives examples of them

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Fractals Notes Presentation Transcript

  • 1. Fractals
  • 2. What is a fractal? A fractal is a geometric figure that can be broken down into parts; each part is a reduced-sized copy of the whole. A Fractal Uses the idea of “Self-Similarity” to make its design
  • 3. Self Similarity In mathematics, an object is self-similar if it is exactly (or approximately) similar to itself In other words, the whole object has the same shape as one or more of its parts.
  • 4. Self Similarity
  • 5. Examples of Fractals… The Koch Snowflake - Helge von Koch
  • 6. Examples of Fractals… The Koch Snowflake/Curve
  • 7. Examples of Fractals… The Sierpinski Gasket aka The Sierpinski Triangle - Wacław Sierpiński
  • 8. Examples of Fractals… The Sierpinski Carpet
  • 9. Examples of Fractals… The Cantor Set - Georg Cantor
  • 10. Examples of Fractals… The Dragon Curve Aka the Heighway Dragon (John Heighway )
  • 11. Examples of Fractals… The Dragon Curve Aka the Heighway Dragon (John Heighway )
  • 12. Examples of Fractals… The Mandelbrot Set
  • 13. Examples of Fractals… Mandelbrot Zoom Videos Zoom Video #1 (Slow) Zoom Video #2 (Fast)
  • 14. Fractal Art
  • 15. Fractal Art
  • 16. Fractal Art
  • 17. Fractal Art
  • 18. Fractal Art
  • 19. Fractal Video Clip
  • 20. Now, you are going to create one of the fractals that we saw in the slides…