How to make the Burning Ship fractal

class BurningShipPanel extends JPanel
 {
 public static final int MAX_ITERATIONS=256;//maximum 256 for a palette from 0 to 255
 public void paintComponent(Graphics g)
    {
    float GraphTop=1.5F,GraphBottom=-1.5F,GraphLeft=-2F,GraphRight=1.5F; //Range of the graph
int x,y,iterations; //x and y are the current pixel to draw

Rectangle r = getBounds();//this is just to get the applet dimensions
float IncrementX=((GraphRight-GraphLeft)/(r.width-1));//this is the increment on the graph corresponding to one pixel
float DecrementY=((GraphTop-GraphBottom)/(r.height-1));
float Zx,Zy,CoordReal,CoordImaginary=GraphTop,SquaredX,SquaredY;
int palette[] = new int[256];

for(int n=0;n<256;n++)
    {
    palette[n]=(int)(n+512-512*Math.exp(-n/50.0)/3.0);
    palette[n]=palette[n]<<16 | palette[n]<<8 | palette[n];
    /*
     * The maximum value should be 255.??? so the (int) conversion
     * should give 255 as the maximum value
    */
    }
palette[255]=0;
//The last colour index is for values clearly within the BurningShip set, coloured black
/*
CoordReal and CoordImaginary are the variables of the point on the graph. Remember that (0,0) on the
screen correspond to GraphLeft,GraphTop
SquaredX and SquaredY are used just to speed up the program
*/

for(y=0;y<r.height;y++)
    {
    CoordReal=GraphLeft;//reset the variable when you start a new line
        for(x=0;x<r.width;x++)
        {
        iterations=0;
        Zx=CoordReal;Zy=CoordImaginary;//prepare to calculate z^2 + c
        SquaredX=Zx*Zx;SquaredY=Zy*Zy; //set the initial squares
            do
            {
            //(Zx + Zyi)^2 = Zx*Zx - Zy * Zy + 2Zx * Zyi
            Zy=Math.abs(Zx*Zy);
            Zy=Zy+Zy-CoordImaginary;//adding Zy to itself removes a slower times two multiply operation
            Zx=SquaredX-SquaredY+CoordReal;
            SquaredX=Zx*Zx;SquaredY=Zy*Zy;
            iterations++;
            }while((iterations<MAX_ITERATIONS)&&((SquaredX+SquaredY)<4.0));//Squareroot(n) < 2 squaring both sides gives n < 4
        iterations--;//iterations would've otherwise been from 1 to MAX_ITERATIONS
                g.setColor(new Color(palette[iterations]));              
                g.drawLine(x,y,x,y);
        CoordReal+=IncrementX;//Increment to the next place on the graph
        }
    CoordImaginary-=DecrementY;//Go down one line on the graph
    }
    }