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Thread: Fractals

  1. #1
    Senior Member
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    Fractals

    I applied one algorithm (here), and now I want more. More, I say! I seem to recall that some of them use i (as in the square root of negative one), but how does one go about that, how do you graph i?

    In short, if anybody knows of any good fractal algorithms, let me know, cause they look cool.

  2. #2
    Back from Hiatus mouse111's Avatar
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    thats pretty sweet man

    how about a few in there at a time?

  3. #3
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    heh. turns out that was just a messed up attempt to make this thing.

  4. #4
    Back from Hiatus mouse111's Avatar
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    thats really nice. love the pixel effect

    BTW, check here http://www.flashkit.com/board/showth...hreadid=439593

    thanks

  5. #5
    Who needs pants? hooligan2001's Avatar
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    That is really nice flecko, how did you manage to do that ?

  6. #6
    madskool.wordpress.com brutfood's Avatar
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    In answer to your question...

    If you have a complex number such as: x+yi. Simply plot (x,y).

    Of course, being a fractal, the colour at that point will still depend on the rate at which the iterations either shoot off to infinity, or not.
    AIR, ActionScript 3, Flex and Flash expert and freelance developer

  7. #7
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    Re: In answer to your question...

    Originally posted by brutfood
    If you have a complex number such as: x+yi. Simply plot (x,y).

    Of course, being a fractal, the colour at that point will still depend on the rate at which the iterations either shoot off to infinity, or not.
    Actually, that's an incorrect way of mapping complex number sets. I'm not saying you can't map them to the real number plane, but you don't get what you are supposed to for the complex function you chose (unless is the real equivalent of the complex mapping).

    See http://66.66.118.96/~jbradley/experi...andlebrot.html

    Press render to view the fractal. This is the complex number set of f(z) = z^2, when z = x + iy. Mapping of complex number space does not work in normal cartesian coordinates and you should use a -1 -> 1 plot in the complex plane to draw the function.

    Just a suggestion. When working with complex numbers, there's a lot you can do ... especially if you spend some time with 'domain coloring' as I did with the above fractal set (mapping escape and speed of infinite-approach).

    cheers,

    Jon

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