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Jochen Triesch, UC San Diego, 1 Rendering of the Mandelbrot set: perhaps the most famous fractal Fractals.

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Presentation on theme: "Jochen Triesch, UC San Diego, 1 Rendering of the Mandelbrot set: perhaps the most famous fractal Fractals."— Presentation transcript:

1 Jochen Triesch, UC San Diego, http://cogsci.ucsd.edu/~triesch 1 Rendering of the Mandelbrot set: perhaps the most famous fractal Fractals

2 Jochen Triesch, UC San Diego, http://cogsci.ucsd.edu/~triesch 2 Some Simple Fractals Koch curve (snowflake) Cantor set (dust)

3 Jochen Triesch, UC San Diego, http://cogsci.ucsd.edu/~triesch 3 Sierpinski triangle

4 Jochen Triesch, UC San Diego, http://cogsci.ucsd.edu/~triesch 4 Sierpinski carpet

5 Jochen Triesch, UC San Diego, http://cogsci.ucsd.edu/~triesch 5 Some more interesting ones http://www.jracademy.com/~jtucek/math/picts.html

6 Jochen Triesch, UC San Diego, http://cogsci.ucsd.edu/~triesch 6 Self-similarity and infinite detail zoom of a Julia set

7 Jochen Triesch, UC San Diego, http://cogsci.ucsd.edu/~triesch 7 zoom of the Mandelbrot set

8 Jochen Triesch, UC San Diego, http://cogsci.ucsd.edu/~triesch 8 So what are Julia sets, and what is the Mandelbrot set?


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