```
import java.awt.*;
import javax.swing.*;
/**
* Main Frame of the Sierpinski Triangle frame.
* @author SciWizEH
* @version 1.0
*/
public class Sierpinski extends JFrame
{
/**make a new Sierpinski*/
public Sierpinski()
{
//add STPane to frame
this.add(new STPane());
//pack
this.pack();
//set visible
this.setVisible(true);
}
/**main*/
public static void main(String[] args){
//make a new frame
new Sierpinski();
}
}
/**
* Point class holds a 2 dimentional integer point.
*/
class Point {
//two portions of the point
int x,y;
//default constructor does nothing
public Point(){}
//constructor that takes two arguments
public Point(int nx,int ny){
x=nx;
y=ny;
}
}
/**
* class that computes and displays the Sierpinski Triangle
*/
class STPane extends JComponent {
//holds the initial triangle for the sierpenski
Point[] triangle = new Point[3];
//first point
Point fp;
//current point
Point cp=new Point();
//default constructor simply sets the original size
public STPane(){
this.setPreferredSize(new Dimension(500,500));
}
//simple method to ge a 0-2 range random number to select a new point
public int rand0to2(){
return (int)(Math.random()*100)%3;
}
//paint where the magic of the chaos happens
public void paint(Graphics g){
//get the current size of the component
Dimension d = super.getSize();
//make an isocilese triangle from the size of the
//component for the original points
triangle[0] = new Point((int)d.getWidth()/2,0);
triangle[1] = new Point(0,(int)d.getHeight());
triangle[2] = new Point((int)d.getWidth(),(int)d.getHeight());
//get an arbitrary point in the middle of the screen somewhere
fp=new Point((int)(Math.random()*d.getWidth()),(int)(Math.random()*d.getHeight()/2));
//get a random triangle point
Point p = triangle[rand0to2()];
//get the first current point by going half way from the first
//point to the chosen triangle point
cp.x=(p.x+fp.x)/2;
cp.y=(p.y+fp.y)/2;
//draw the first point
g.drawRect(cp.x,cp.y,0,0);
//compute 40000 points in the same fashion but use the current
//point rather than the very original point
for(int i = 0; i<40000;i++){
p = triangle[rand0to2()];
cp.x=(p.x+cp.x)/2;
cp.y=(p.y+cp.y)/2;
g.drawRect(cp.x,cp.y,0,0);
}
}
}
```

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