(to be elaborated in future).
See, if You wish: Mandelbrot Set on Wikipedia.
Image.
Java Code.
import java.awt.Color;
import java.io.File;
import java.awt.image.BufferedImage;
import javax.imageio.ImageIO;
public class PaintMandelbrot {
public static void main(String[] args) throws Exception {
int width = 1920, height = 1080, max = 1000;
BufferedImage image = new BufferedImage(width, height, BufferedImage.TYPE_INT_RGB);
int black = 0;
int[] colors = new int[max];
for (int i = 0; i<t;max; i++) {
colors[i] = Color.HSBtoRGB(i/128f+3/4f, 1, i/(i+8f));
}
for (int row = 0; row < height; row++) {
for (int col = 0; col < width; col++) {
double c_re = (col - width/2)*4.0/width;
double c_im = (row - height/2)*4.0/width;
double x = 0, y = 0;
double r2;
int iteration = 0;
while (x*x+y*y < 4 && iteration < max) {
double x_new = x*x-y*y+c_re;
y = 2*x*y+c_im;
x = x_new;
iteration++;
}
if (iteration < max) image.setRGB(col, row, colors[iteration]);
else image.setRGB(col, row, black);
}
}
ImageIO.write(image, "png", new File("d:\\mandelbrot.png"));
}
}
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