Julia Set

[trafassel]

<a href="http://www.youtube.com/v/utq0YRPDOc4&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/utq0YRPDOc4&rel=1&fs=1&hd=1</a>

[mclarekin]

the video is great. Thanks for posting.

[Adam Majewski]

cool !
can you describe :
- algorithm
- software
- how have you choosed c parameters
?
TIA

[trafassel]

The algorithm comes from the idea to display the circles which forms the Mandelbrot Set as spheres.

The formula is given by:

Code:

public double minBailout=0.03;
public double rPow=0.39;
public double sphereSize=0.61;
public override bool GetBool(double x,double y,double z)
{
  for (int i=1;i<_cycles;  i++)
  {
    double xx=x*x;
    double yy=y*y;
    double zz=z*z;
    double r=xx+yy+zz;
    if (r>6)return false;
    if (r<minBailout)return true;
    y=2*x*y+_jy;
    x=xx-yy+_jx;
    z=z*Math.Pow(r,rPow)/sphereSize+_jz;
  }
  return true;
}

public override void Init()
{
  base.Init();
  if(GetString("intern.Formula.TempUpdateVal")!="7053ca49f017bbb3d32747e60fa68e28")
  {
    SetParameterBulk("Formula.Parameters: minBailout=0.03 rPow=0.39 sphereSize=0.61 Formula.Static: Cycles=410 Julia=1 jx=0.288724629629629 jy=-0.473233333333333 jz=0 Scene: CenterX=0.170154474870217 CenterY=0.20568854630507 CenterZ=-0.30614740041454 Radius=1.7535060530771 Transformation.Camera: AngleX=-155.336787655115 AngleY=-56.3765596085849 AngleZ=-99.3304786206038 IsometricProjection=0 Position=1 intern.Formula: TempUpdateVal=7053ca49f017bbb3d32747e60fa68e28");
  }

The init() method can be ignored. Here the Julia c seeds and the camera parameters are set.

Is used the program Gestaltlupe (http://www.gestaltlupe.com/) to generate the video frames and ImagesToVideo (http://en.cze.cz/Images-To-Video) to combine this images to a video.

The Julia C values are set by hand for some frames and the animation just interpolates the values for all frames.

[mclarekin]

@ trafassel. That is a very fast algorithm, and looks great.

It is perfect for having the parameters animated by music.

I will add it to my long list of Trafassel formulas that I have yet to investigate, probably at the top of the list.

I still need to  find away to do this type of formula using DE.

thanks for posting.

[M Benesi]

  Love it.  Great idea. 

[trumanbrown]

Wonderful animation! I love the bubbly effect!