How to make the Mandelbrot fractal

ViewWindow -2,1.5,.5,-1.5,1.5,.5
For Ymin→T To Ymax Step (Ymax-Ymin)÷62
For Xmin→S To Xmax Step (Xmax-Xmin)÷125
S+Ti→C~D
1→I
Do
C²+D→C
1+I→I
LpWhile Abs C≤2 And I<20
Abs C≤2⇒Plot S,T
Next
Next

class MandelbrotPanel extends JPanel
 {
 public static final int MAX_ITERATIONS=256;
//maximum 256 for a palette from 0 to 255
 public void paintComponent(Graphics g)
    {
//Range of the graph
    float GraphTop=1.5F,GraphBottom=-1.5F,GraphLeft=-2F,GraphRight=1.5F;
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++)
    {
//I am making a palette which is non-linear to make it brighter
    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 Mandelbrot 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
            {
            Zy=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);//This plots one pixel, use a different command
        CoordReal+=IncrementX;//Increment to the next place on the graph
        }
    CoordImaginary-=DecrementY;//Go down one line on the graph
    }
    }
 }