Mandelbrot Set

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According to Wikipedia, the Mandelbrot Set is ” a set of points in the complex plane that forms a fractal. Mathematically, the Mandelbrot set can be defined as the set of complex c-values for which the orbit of 0 under iteration of the complex quadratic polynomial x2 + c remains bounded.[1]

Right, anyway, it’s pretty.

Yours, with humility,

Fluvial

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~ by fluvial on July 25, 2007.

4 Responses to “Mandelbrot Set”

  1. I met Benoit Mandlebrot once when I was in high school. Smart guy, but a bit full of himself.

    If you want a more coherent explanation of the generating function of the set, let me know. I’ve written MANY programs to draw the set over the years. 🙂

  2. Eric, leave it to you to not only know how to explain this better but also to have MET the guy. Sheesh. Why are you so much cooler than me? 🙂

  3. First, the math is actually REALLY easy. It is astounding how complex and beautiful the set is given how utterly simple the generating function is.

    And second, there is no way in hell that I’m cooler than you.

    It’s funny how you’re both really cool AND really hot, I’m not sure how that works, but somehow, you pull it off.

  4. YouTube to the rescue:

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