The algorithm comes from the idea to display the circles which forms the Mandelbrot Set as spheres.
The formula is given by:
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.
May 19, 2010, 03:06:26 PM
julia
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