Computation Contest #8 Results and Solution

Solution

The problem of this contest was to simply draw a fractal of your choice.
I chose to draw this fractal as an example:

This fractal was generated with the chaos game algorithm.
The chaos game works on a few simple rules:

Start with a set of n points in a 2d plane.

Choose a random point x on the plane.

Now in a loop make:

1. Choose one of the n points randomly
2. Move x half the distance towards the chosen point
3. Paint a dot at x(Preferably with low alpha, to make the image look smoother).

In the example shown above I used 5 points:
The 4 corners of a rectangle and the exact center.

Here is my implementation:

import javax.swing.JFrame;
import java.awt.Color;
import java.awt.Graphics;

public class fractal extends JFrame {
    double x, y;
    int len;
    double [] xP;
    double [] yP;
    
    public fractal() {
        // Initialize JFrame:
        super("Fractal");
        this.setSize(1800, 1200);
        this.setVisible(true);
        this.setResizable(false);
        this.setDefaultCloseOperation(JFrame.EXIT_ON_CLOSE);
        // Initialize points:
        // Here 4 corners of a rectangle and the center:
        xP = new double[]{100, 100, 1700, 1700, 900};
        yP = new double[]{100, 1100, 1100, 100, 600};
        len = 5;
        // Start at one of the corners:
        x = xP[0];
        y = yP[0];
    }
    int n = 0;
    @Override
    public void paint(Graphics g) {
        // Make sure the background really gets drawn black:
        if(n <= 100) {
            g.setColor(Color.BLACK);
            g.fillRect(0, 0, 1800, 1200);
            n++;
        }
        // Use some color different to the background with low alpha value to draw the current position of the dot:
        g.setColor(new Color(255, 255, 255, 2));
        g.drawRect((int)x, (int)y, 1, 1);
        // Choose a new point:
        int z = (int)(len * Math.random());
        // Move the point half the distance to that point:
        x -= (x-xP[z])/2;
        y -= (y-yP[z])/2;
    }
    public static void main(String [] args) {
        fractal f = new fractal();
        while(true) {
            f.repaint();
        }
    }
}

I wonder why only one participant showed up, although it wasn't that hard.

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List of participants with their entries:

Name	Solution found	Comment
@enderrag		Looks good, although I don't like that the edges are cut.

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Winners:

Congratulations @enderrag, you won 2 SBI!

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The next contest starts soon. Don't miss it!