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Author Topic: 3d mandel  (Read 2387 times)
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adelmo
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Posts: 35


« on: April 28, 2017, 02:29:09 PM »

Hi, sorry, with my program I generated this set of high 3d mandel to the second power. What do you think? Thank you in advance


* Immagine.png (249.13 KB, 1015x789 - viewed 97 times.)
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DarkBeam
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Posts: 2512


Fragments of the fractal -like the tip of it


« Reply #1 on: April 28, 2017, 04:33:51 PM »

Good! Bravo!  wink
Formula used?! A Beer Cup
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No sweat, guardian of wisdom!
adelmo
Alien
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Posts: 35


« Reply #2 on: April 28, 2017, 08:08:59 PM »

Hi, I used the following formula, but since i'm not a math I have doubts about nw. I attach pictures with other angles

            case 14:
               rad = Math::Sqrt(nx*nx + ny*ny + nz*nz + nw*nw);

               powRad = Math::Pow(rad, power);
               theta = Math::Atan2(ny, nx) * power;
               phi = Math::Atan(nz / rad) * power;
               nx = powRad * Math::Cos(theta) * Math::Cos(phi);
               ny = powRad * Math::Sin(theta) * Math::Cos(phi);
               nz = powRad * Math::Sin(phi) * inverse_azimuth;
               nw = powRad * Math::Sin(phi) * inverse_azimuth;
               break;

            default:
               break;
            }

            if(julia)
            {
               nx += creal_i;
               ny += cimag_j;
               nz += k;
               nw += l;
            }
            else
            {
               nx += x;
               ny += y;
               nz += z;
            }


* Immagine.png (198.72 KB, 1193x538 - viewed 79 times.)
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adelmo
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Posts: 35


« Reply #3 on: May 01, 2017, 09:39:19 AM »

This is the corresponding collection of julia


* Cattura.PNG (176.46 KB, 630x876 - viewed 87 times.)
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adelmo
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Posts: 35


« Reply #4 on: May 05, 2017, 07:41:51 PM »

A screen of my program


* Cattura3.GIF (245.45 KB, 1142x767 - viewed 92 times.)
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adelmo
Alien
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Posts: 35


« Reply #5 on: May 08, 2017, 09:28:10 PM »

Julia set with k and l values ​​automatically calculated


* Immagine2.png (110.33 KB, 653x825 - viewed 72 times.)
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Alef
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Posts: 1174



WWW
« Reply #6 on: May 09, 2017, 04:14:58 PM »

It's good but this one looks more like 3D http://www.fractalforums.com/the-3d-mandelbulb/true-3d-mandelbrot/

Your in zoom probably will reveal mandelbrotesque features, but there is nothing on its top.
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fractal catalisator
adelmo
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Posts: 35


« Reply #7 on: May 09, 2017, 07:28:11 PM »


Thank you Alef, thanks to all of you, it is a great satisfaction for me
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adelmo
Alien
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Posts: 35


« Reply #8 on: May 14, 2017, 08:28:23 AM »

I replied with the OpenTK


* ImmagineOpenTK.png (45.31 KB, 911x685 - viewed 53 times.)
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adelmo
Alien
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Posts: 35


« Reply #9 on: May 16, 2017, 09:38:37 PM »

Hello, I replied with Mandlbulb3Dv191.
Formula used:

procedure MyFormula(var x, y, z, w: Double; PIteration3D: TPIteration3D);
var
   sq_r: double;
   sq_xz: double;
   r, theta, zangle: double;
begin
   sq_r := sqrt(x*x+y*y+z*z);
   sq_xz := sqrt(x*x+z*z);
   r:= power(sq_r, Power_);

   theta := arctan2(y , x) * Power_;
   zangle := arctan2(z, sq_r) * Power_;

   x := cos(zangle) * cos(theta)  * r + PIteration3D^.J1;
   y := sin(theta)  * cos(zangle) * r + PIteration3D^.J2;
   z := sin(zangle) * r * inverse     + PIteration3D^.J3;
end;


* Mandelbulb3Dv191.png (149.31 KB, 809x690 - viewed 63 times.)
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adelmo
Alien
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Posts: 35


« Reply #10 on: May 16, 2017, 09:42:53 PM »

Mandel:
     inverse = 1

Julia:
     inverse = -1


* Mandelbulb3Dv191_Julia.png (79.76 KB, 630x463 - viewed 74 times.)
« Last Edit: May 16, 2017, 10:01:53 PM by adelmo » Logged
adelmo
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Posts: 35


« Reply #11 on: May 26, 2017, 07:45:48 PM »

To the third power


* Power 3.GIF (97.56 KB, 1227x537 - viewed 40 times.)
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adelmo
Alien
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Posts: 35


« Reply #12 on: May 29, 2017, 08:42:28 PM »

Elevated to the power of 4 and top view


* Power 4.GIF (143.38 KB, 652x927 - viewed 42 times.)
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adelmo
Alien
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Posts: 35


« Reply #13 on: May 30, 2017, 07:03:05 AM »

Power 5 and left view


* Power 5.GIF (233.78 KB, 1311x539 - viewed 57 times.)
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adelmo
Alien
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Posts: 35


« Reply #14 on: May 31, 2017, 08:28:12 PM »

Power 8 Julia


* Power 8_Julia.GIF (237.51 KB, 1306x538 - viewed 50 times.)
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