Print Page - Mandelbrot variation

Title: Mandelbrot variation
Post by: mistabell on July 14, 2010, 09:22:27 AM

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

(http://imgur.com/Ox1Ue.png)

If you zoom in, there's all sorts of neat cellular / octopus looking stuff in there.
(http://imgur.com/xgvIx.jpg)

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++;
}

Title: Re: Mandelbrot variation
Post by: jwm-art on November 11, 2010, 08:14:02 PM

Don't know :angel1:

Title: Re: Mandelbrot variation
Post by: Madman 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

Title: Re: Mandelbrot variation
Post by: jwm-art 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 ;D

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Fractal Software => Programming => Topic started by: mistabell on July 14, 2010, 09:22:27 AM