public void SphereAABBTest()
{
Point3d p = new Point3d(0, 0, 0);
Sphere e = new Sphere(p, 5);
Rotation r = new Rotation(new Vector3d(1, 2, 3), PI / 4);
Coord3d cs = new Coord3d(new Point3d(1, 2, 4), r.ToRotationMatrix.Transpose());
Box3d b = e.BoundingBox(cs);
Plane3d s = new Plane3d(b.P1, b.P2, b.P3);
Assert.IsTrue(e.IntersectionWith(s).GetType() == typeof(Point3d));
s = new Plane3d(b.P8, b.P7, b.P6);
Assert.IsTrue(e.IntersectionWith(s).GetType() == typeof(Point3d));
s = new Plane3d(b.P1, b.P2, b.P5);
Assert.IsTrue(e.IntersectionWith(s).GetType() == typeof(Point3d));
s = new Plane3d(b.P2, b.P3, b.P6);
Assert.IsTrue(e.IntersectionWith(s).GetType() == typeof(Point3d));
s = new Plane3d(b.P3, b.P4, b.P7);
Assert.IsTrue(e.IntersectionWith(s).GetType() == typeof(Point3d));
s = new Plane3d(b.P1, b.P4, b.P8);
Assert.IsTrue(e.IntersectionWith(s).GetType() == typeof(Point3d));
}
