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Same Galaxy, other FormulaSpiral Galaxy
Spiral Galaxy
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Filesize: 114.74kB
Height: 720 Width: 1200
Posted by: trafassel June 21, 2010, 07:16:37 AM

Rating: ***** by 5 members.

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trafassel
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November 03, 2010, 09:15:34 PM
The formula is the following:

            ai = 2.0*ai * ar *aj+bi;
                aj = aaj -(aj-1)* (aar+aai) +bj;
                ar = aar -aai-aaj+br;


                aar = ar * ar; aai = ai * ai; aaj = aj * aj;aak=ak*ak;
                d = aar + aai + aaj;
trafassel
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July 09, 2010, 12:27:22 PM
This picture is part of a set of pictures of the same area in the well known Mandelbrot set - a spiral galaxy with five arms.

But instead of using the Mandelbrot Formula:
newX=2*x*y+p.x;
newY=y*y-x*x+p.y;

I changed the formula with one additional variable z, such that for z=0 the original formula stays the same.

Simple Example:
Start: set: z=0

newX=2*x*y*(z+1.0)+p.x;
newY=y*y-x*x-z*z+p.y;
newZ=z*z-z*x*y+p.z;

And I used this formula to generate a 3D picture.

Actually I have some problems to find the original formula, used for this picture. In my renderer, all input variables (this includes the used formula) are saved automatic with the same name as the picture.
The idea was to using the information of the thumbnail on the bottom of the picture (i.e. Data159pic10082small.jpg (116.36 KB, 1200x1200 - viewed 9 times....)) to find my original data. This works well in the forum, but not in the gallery (or I don't found it).

Perhaps this weekend, I found time to examine all recent generated pictures on the harddisk of my 2 computers, and then I will post the used formula.

KRAFTWERK
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July 06, 2010, 04:48:26 PM
This is nice Trafassel... what is it?
jehovajah
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July 05, 2010, 03:17:28 AM
Looks more like a spiral Fingals Cove, but very interesting.

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