I have made a graphics Java applet that shows a moving fractal.  I made
it in a computer with a 1GHz processor.  In this processor the applet
runs smoothly without any blinking.

The problem is that in new machines with faster processors the moving
object blinks in a slightly annoying way.

How could I make it not blink at any processor speed?

(I intend also to preserve the motion speed of the object to be always
the same on any processor.)

You can find the applet (source included) at:

http://josechu.com/moving_fractal/

I'm not sure, but perhaps the key to fix this problem is at this
portion of code:

public void run() {
        Thread.currentThread().setPriority(Thread.MIN_PRIORITY);
        while (true) {
            try {
                Thread.sleep(44);
            } catch (InterruptedException ex) {
            }
            Thread.currentThread().setPriority(Thread.MAX_PRIORITY);
            repaint();
        }
    }

Any suggestion will be welcome.