Fractals
What is a fractal? A fractal is a geometric figure that can be broken down into parts; each part is a reduced-sized copy o...
Self Similarity In mathematics, an object is self-similar if it is exactly (or approximately) similar to itself In other w...
Self Similarity
Examples of Fractals… The Koch Snowflake -  Helge von Koch
Examples of Fractals… The Koch Snowflake/Curve
Examples of Fractals… The Sierpinski Gasket aka The Sierpinski Triangle - Wacław Sierpiński
Examples of Fractals… The Sierpinski Carpet
Examples of Fractals… The Cantor Set - Georg Cantor
Examples of Fractals… The Dragon Curve Aka the Heighway Dragon (John Heighway )
Examples of Fractals… The Dragon Curve Aka the Heighway Dragon (John Heighway )
Examples of Fractals… The Mandelbrot Set
Examples of Fractals… Mandelbrot Zoom Videos Zoom Video #1 (Slow) Zoom Video #2 (Fast)
Fractal Art
Fractal Art
Fractal Art
Fractal Art
Fractal Art
Fractal Video Clip
Now, you are going to create one of the fractals that we saw in the slides…
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Fractals Notes

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Describes what fractals are and gives examples of them

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Fractals Notes

  1. 1. Fractals
  2. 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. 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. 4. Self Similarity
  5. 5. Examples of Fractals… The Koch Snowflake - Helge von Koch
  6. 6. Examples of Fractals… The Koch Snowflake/Curve
  7. 7. Examples of Fractals… The Sierpinski Gasket aka The Sierpinski Triangle - Wacław Sierpiński
  8. 8. Examples of Fractals… The Sierpinski Carpet
  9. 9. Examples of Fractals… The Cantor Set - Georg Cantor
  10. 10. Examples of Fractals… The Dragon Curve Aka the Heighway Dragon (John Heighway )
  11. 11. Examples of Fractals… The Dragon Curve Aka the Heighway Dragon (John Heighway )
  12. 12. Examples of Fractals… The Mandelbrot Set
  13. 13. Examples of Fractals… Mandelbrot Zoom Videos Zoom Video #1 (Slow) Zoom Video #2 (Fast)
  14. 14. Fractal Art
  15. 15. Fractal Art
  16. 16. Fractal Art
  17. 17. Fractal Art
  18. 18. Fractal Art
  19. 19. Fractal Video Clip
  20. 20. Now, you are going to create one of the fractals that we saw in the slides…
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