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Author Topic: Inner view of the Mandelbox  (Read 27413 times)
Description: The Mandelbox (by Tglad) - Inner View
0 Members and 1 Guest are viewing this topic.
trafassel
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trafassel
« on: September 21, 2010, 07:03:33 PM »

The Mandelbox, but seen from the Inside. This means a voxel is visible, if and only if its coordinate is no element of the Mandelbox set.


* Data459pic10006a.jpg (241 KB, 1200x1200 - viewed 1815 times.)
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trafassel
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trafassel
« Reply #1 on: September 21, 2010, 08:04:34 PM »

In the center there is also a box. Rendered with low iteration.



* Data457pic10064small.jpg (255.47 KB, 1200x1200 - viewed 1735 times.)
« Last Edit: September 21, 2010, 08:06:11 PM by trafassel » Logged
trafassel
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trafassel
« Reply #2 on: September 21, 2010, 10:53:06 PM »

Looks like the well known Bulb Trees.


* Data459pic10011b.jpg (241.7 KB, 1200x1200 - viewed 1760 times.)
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bib
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At the borders...


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« Reply #3 on: September 21, 2010, 11:03:11 PM »

Captivating and groundbreaking pictures. What scale did you use, and how many iterations?
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Between order and disorder reigns a delicious moment. (Paul ValÚry)
hobold
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« Reply #4 on: September 21, 2010, 11:12:44 PM »

I feel like exploring never before seen ocean depths. The grainy black and white feels like low light photography.
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Tglad
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« Reply #5 on: September 22, 2010, 02:04:25 AM »

That's amazing trafassel  shocked  the wave
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trafassel
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trafassel
« Reply #6 on: September 22, 2010, 08:15:07 AM »

I used a changing scale value. The original Data can be found at:
http://github.com/trafassel/Gestaltlupe/blob/master/settings/Public/Examples/Mandelbox/Plants.xml

This data also includes the following formula (ar=-1.2,ai=0.01 ,aj=0.8 are fixed parameters ):

/// <summary>
        /// Initialisierung
        /// </summary>
        public override void Init() {
            base.Init();

additionalPointInfo=new AdditionalPointInfo();
            // Hier kann z.B. pow oder gr aus den Einstellungen gelesen werden.
        }


// Mandelbox
        public override long InSet(double ar, double ai, double aj,  double br, double bi, double bj, double bk, long zkl, bool invers) {

double gr=50000;
double xx, yy, zz;
          long tw;
          int n;
          double x=0,y=0,z=0;
          double r_n = 0;

          xx = x * x; yy = y * y; zz = z * z;
          tw = 0L;
          double r = Math.Sqrt(xx + yy + zz);
  double scale = ar;
additionalPointInfo.red=0;
additionalPointInfo.green=0;
additionalPointInfo.blue=0;

          for (n = 1; n < zkl; n++) {
if(scale<-1)
scale=scale-ai*(scale+1);

//              ; fold box onto itself 
              if (x > 1)
                x = 2.0 - x;
              else if (x < -1)
                x = -2.0 - x;
             
              if (y > 1)
                y = 2.0 - y;
              else if (y < -1)
                y = -2.0 - y;
             
              if (z > 1)
                z = 2.0 - z;
              else if (z < -1)
                z = -2.0 - z;
             
            //  ; fold sphere onto itself
              double fixedRadius = 1;
              double minRadius = 0.00001;
      double length=   r = Math.Pow(x*x + y*y + z*z,aj);
 //  double length=   r = x*x + y*y + z*z;


            if (length > gr) {
//additionalPointInfo.red=x*x/r;
//additionalPointInfo.green=y*y/r;
//additionalPointInfo.blue=z*z/r;
              tw = n; break;
            }

   double mult=1;

    if (length < minRadius) {
      //  mult=Math.Sqrt(fixedRadius)/(minRadius);
    }   else
 if (length < fixedRadius) {
        mult=Math.Sqrt(fixedRadius)/(length);
  }
   mult*=scale;
   x*=mult;
   y*=mult;
   z*=mult;
   x+=br;
   y+=bi;
   z+=bj;
          }


          if (invers) {
            if (tw == 0)
              tw = 1;
            else
              tw = 0;
          }
          return (tw);

        }

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trafassel
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trafassel
« Reply #7 on: September 22, 2010, 08:19:28 AM »

The bulb on the top.


* Data459pic10021a.jpg (150.75 KB, 1200x1200 - viewed 1810 times.)
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KRAFTWERK
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« Reply #8 on: September 22, 2010, 12:41:39 PM »

WOW! Really cool images Trafassel!!!
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Tglad
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« Reply #9 on: September 22, 2010, 02:11:00 PM »

I'd be interested to know what it looks like if aj is 0.5 and ai is 0. Does it affect the shape of the turnips? smiley
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trafassel
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Posts: 531


trafassel
« Reply #10 on: September 22, 2010, 07:09:40 PM »

The Bulb is a hole in the Mandelbox - and in this hole there is a hidden death star.


* Data460pic10007a.jpg (239.29 KB, 1200x1200 - viewed 1774 times.)
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trafassel
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trafassel
« Reply #11 on: September 22, 2010, 07:12:10 PM »

The inside of the death star


* Data460pic10017a.jpg (253.64 KB, 1200x1200 - viewed 1792 times.)
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bib
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« Reply #12 on: September 22, 2010, 07:56:49 PM »

Whaooo! I want to see a video! smiley
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Between order and disorder reigns a delicious moment. (Paul ValÚry)
trafassel
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trafassel
« Reply #13 on: September 22, 2010, 09:37:53 PM »

A inside view of the Mandelbox with aj is 0.5 and ai is 0 (I choose ar=-1.8 ) .


But I cannot find the the turnips.


* Data460pic10095a.jpg (154.58 KB, 1200x1200 - viewed 1709 times.)
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trafassel
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Posts: 531


trafassel
« Reply #14 on: September 22, 2010, 09:40:13 PM »

The inside of the inside of the death star.


* Data460pic10018a.jpg (254.4 KB, 1200x1200 - viewed 1751 times.)
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