Help with sphere.java - not coming out correctly

[JavaInLove]

I can't see a Java3D section plus the stuff i'm working on is 2D related so i'll post here.

I am writing a sphere.java class representing a Sphere not using the Java3D API and logically in theory it should work due to the maths involved. I am using polar coordinates to generate the points on the sphere and using the points to construct triangle polygons which make up the sphere. I was told this would be an easy way of doing it so i opt for this. However also noted that there are many alternatives..

Here's the class below:

//all imports are here..
.
.

public Sphere extends JPanel{

private ArrayList<Polygon3D> polygons = new ArrayList<Polygon3D>();
private Point3D Origin = new Point3D(0, 0, 0);
 private double radius = 5;
 private int numberOfFacets = 12;
 private int bands = 12;

public Sphere(){
              generatePoints();

		
		  }
         }
}

public void generatePoints(){
double phiInc = (double)Math.toRadians(180/bands);
		double thetaInc = (double)Math.toRadians(360/numberOfFacets);
		
		for(int i=-((bands/2)+1); i < ((bands/2)+1); i++) {
			for(int j=0; j < numberOfFacets; j++) {
				double theta = j * thetaInc +	(i*(thetaInc/2));
				double phi = i * phiInc;
		
				Point3D a = polar2Rect(radius, theta, phi);
		        Point3D b = polar2Rect(radius, theta +(thetaInc/2), phi + phiInc);
		        Point3D c = polar2Rect(radius, theta + thetaInc,phi);
		        Point3D d = polar2Rect(radius, theta +((3*thetaInc)/2), phi + phiInc);
		        Point3D e = (Point3D)b.clone();
		        Point3D f = (Point3D)c.clone(); //make a copy of these points
     	       addThePoints(a,b,c,d,e,f);
}

public void addThePoints(Point3D a,Point3D b,Point3D c,Point3D d,Point3D e,Point3D f){
                    Polygon3D Facet = new Polygon3D();
		       
		        Facet.addPoint(a.plus(Origin));
		        Facet.addPoint(c.plus(Origin));
		        Facet.addPoint(b.plus(Origin));
		        Facet.setColour(new Color((float)Math.random(),(float)Math.random(),(float)Math.random()));

		        polygons.add(Facet);

		        Polygon3D Facet2 = new Polygon3D();
		        Facet2.addPoint(e.plus(Origin));
		        Facet2.addPoint(f.plus(Origin));
		        Facet2.addPoint(d.plus(Origin));
		        polygons.add(Facet2);
}

public Point3D polar2Rect(double dis, double ang, double phi){
		Point3D p = new Point3D(0,0,0);
		p.setX((float) (dis * Math.sin(ang) * Math.cos(phi))); 
		p.setY((float) (dis * Math.sin(ang) * Math.cos(phi))); 
		p.setZ((float) (dis * Math.cos(ang)));
		return p;
	}

public void paint(Graphics g){
   Graphics2D g2 = (Graphics2D)g;
    for(Polygon3D pol : polygons){
         g2.fill(pol.getShape());  //get the generated polygon shape
    }
}

}

private Point3D{
 //an inner class which represents the a point3D
//not shown here because it's working perfectly fine 
//works with other shapes i'm trying to create (cuboid, prism etc) so its not this problem
}

notes*
Polygon3D is just a class which represents or a mechanism to show a polygon.
Same with Point3D class - this class is fine

So my problem is that when i paint the Sphere it draws a flat oval slanting sideways. But i when i rotate the thing a bit about 45 deg it shows one side of the sphere (i.e. a 2D circle) - so clearly it is drawing the shape somehow and abit of the sphere..

My bet is on the maths - something not right or i've missed something out.. Any ideas?
Try the piece of code.

[mtyoung]

Sphere is a Class?
never complie

[JavaInLove]

What do you mean?

[JavaInLove]

Any ideas? Anyone?