Small Stars

This is a somewhat hard thought, and I suggest that you get out pencil and paper and draw some stars attached to stars attached to stars. After a while it is clear that you want to stop drawing when the stars are too small to draw. Our applet is no different:

  private void drawStar( int x, int y, int size )
  {
    int endX, endY ;
    
    if ( size <= 2 ) return;  // base case
    
    // Six lines radiating from (x,y)
    for ( int i = 0; i<6; i++ )
    {
      endX = x + (int)(size*Math.cos( (2*Math.PI/6)*i ));
      endY = y - (int)(size*Math.sin( (2*Math.PI/6)*i ));
      graph.drawLine( x, y, endX, endY );
      drawStar( endX, endY, size/3 );  
    }
  }

I picked the value "2" for the base case because smaller values result in cluttered snowflakes.