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Author Topic: Mandelbrot variation  (Read 3565 times)
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mistabell
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Posts: 7


« on: July 14, 2010, 09:22:27 AM »

I was playing around with the mandelbrot function and found this dude:



If you zoom in, there's all sorts of neat cellular / octopus looking stuff in there.


The standard mandelbrot uses:
Code:
while ( x*x+y*y <= 4 && iteration < max_iteration) {               
    tempx = x*x-y*y;
    y = 2*x*y + zY;
    x = tempx + zX;
    iteration++;
}

The burning ship can be described as:
Code:
while ( x*x+y*y <= 4 && iteration < max_iteration) {               
    tempx = x*x-y*y;
    y = abs(2*x*y) + zY;
    x = tempx + zX;
    iteration++;
}

Does this one have a name?:
Code:
while ( x*x+y*y <= 4 && iteration < max_iteration) {               
    tempx = abs(x*x-y*y);
    y = 2*x*y + zY;
    x = tempx + zX;
    iteration++;
}
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jwm-art
Iterator
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Posts: 171



WWW
« Reply #1 on: November 11, 2010, 08:14:02 PM »

Don't know  angel
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Madman
Fractal Molossus
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Posts: 678



« Reply #2 on: November 11, 2010, 08:26:53 PM »

Yes it has... At least in Ultra Fractal. It's called the "Generalized Celtic Mandelbrot Set". You can find it in mt.ufm
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All I want is a warm bed, a kind word and unlimited power (Ashleigh Brilliant)
jwm-art
Iterator
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Posts: 171



WWW
« Reply #3 on: November 11, 2010, 11:15:54 PM »

I've started playing around with this now. It's quite interesting. There are areas which showing Glynn fractal similarities. Other areas... Let's just say I can't help making comparisons with what I'm seeing in this 2d formula, and what I see in the 3d Mandelbox grin
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