Coloring the Mandelbulb

[trafassel]

Same color method; 10 iterations.

[reesej2]

Wow, very nice! Looks amazing.

[kram1032]

That looks pretty good

[KRAFTWERK]

WOW, it looks like those fabrics which changes "metallic" colours due to the light angle.

Really amazing!

[cbuchner1]

Soap bubble!

[trafassel]

Color combination is given by (Gestaltlupe formula):

        public override void Init() {
          base.Init();
          additionalPointInfo=new AdditionalPointInfo();
          gr1=GetDouble("Formula.Static.Cycles");
          int tempGr=(int)gr1;
          gr1=gr1- tempGr;
          gr1=1-gr1;
          gr1*=2.4;
        }

 double gr1=0;

        public override long InSet(double ar, double ai, double aj,  double br, double bi, double bj, double bk, long zkl, bool invers) {
            double aar, aai, aaj;
            long tw;
            int n;
            int pow = 8; // n=8 entspricht dem Mandelbulb
                double gr =Math.Pow(10,gr1)+1.0;  //   10; // Ab diesem Wert liegt mit Sicherheit Nichtzugehörigkeit zur Menge vor.
            double theta, phi;

            double r_n = 0;
            aar = ar * ar; aai = ai * ai; aaj = aj * aj;
            tw = 0L;
            double r = Math.Sqrt(aar + aai + aaj);

             double      phi_pow;
             double       theta_pow;
             double    sin_theta_pow;
              double  rn_sin_theta_pow;

additionalPointInfo.red=0;
additionalPointInfo.green=0;
additionalPointInfo.blue=0;

double red=0; double green=0; double blue=0;

            for (n = 1; n < zkl; n++) {

                theta = Math.Atan2(Math.Sqrt(aar + aai), aj);
                phi = Math.Atan2(ai, ar);
                r_n = Math.Pow(r, pow);

                phi_pow=phi*pow;
                theta_pow=theta*pow;
                sin_theta_pow=Math.Sin(theta_pow);
               rn_sin_theta_pow=r_n* sin_theta_pow;


                ar =  rn_sin_theta_pow * Math.Cos(phi_pow)+br;
                ai = rn_sin_theta_pow * Math.Sin(phi_pow)+bi;
                aj = r_n * Math.Cos(theta_pow)+bj;

                aar = ar * ar; aai = ai * ai; aaj = aj * aj;
                r = Math.Sqrt(aar + aai + aaj);

if(n>2) {
/*
double arPos=ar; if(arPos<0) arPos=-ar;
double aiPos=ai; if(aiPos<0) aiPos=-ai;
double ajPos=aj; if(ajPos<0) ajPos=-aj;
red+=Math.Abs(ar)/r;
green+=Math.Abs(ai)/r;
blue+=Math.Abs(aj)/r;
*/

if(ar>0)
  red+=ar/r;
if(ai>0)
  green+=ai/r;
if(aj>0)
  blue+=aj/r;

}

                if (r > gr) { tw = n; break; }

            }

additionalPointInfo.red=red;
additionalPointInfo.green=green;
additionalPointInfo.blue=blue;


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

            return (tw);

        }

[trafassel]

Colors on a flat surface.

[kram1032]

also nice but obviously, the shape adds a lot to it.

[trafassel]

I don't think so. It seems, as the color "knows" how the shape looks in higher iterations. And perhaps this is fundamental for all variants of the mandelbulb fractal.

[kram1032]

With adding a lot to it, I meant things like shadow.
That colour pattern lacks of shadow. No wonder: Where should it come from?

[trafassel]

Same picture as the spine in the gallery, but with post processing (Paint.Net).

[kram1032]

nice A metallic soap bubble

[trafassel]

Stereo image

[kram1032]

hard to think of it as stereo with this arrangement
But it looks very nice

[cKleinhuis]

use CTRL - +/-
to lower the zoom, to see it side by side