// Define the model.
        private void DefineModel(Model3DGroup group)
        {
            const int numTheta = 30;
            const int numPhi   = 15;

            MeshGeometry3D mesh1  = new MeshGeometry3D();
            Point3D        center = new Point3D(0, 0, 1.75);

            mesh1.AddTexturedSphere(center, 1.5, numTheta, numPhi, true);
            group.Children.Add(mesh1.MakeModel("world.jpg"));
            // Add a point to redefine the texture area to hide the "seam."
            mesh1.Positions.Add(new Point3D());
            mesh1.TextureCoordinates.Add(new Point(1.01, 1.01));

            MeshGeometry3D mesh3 = new MeshGeometry3D();

            center = new Point3D(0, 0, -1.75);
            mesh3.AddTexturedSphere(center, 1.5, numTheta, numPhi, true);
            mesh3.ApplyTransformation(D3.Rotate(D3.XVector(), center, 90));
            group.Children.Add(mesh3.MakeModel("world.jpg"));
            // Add a point to redefine the texture area to hide the "seam."
            mesh3.Positions.Add(new Point3D());
            mesh3.TextureCoordinates.Add(new Point(1.01, 1.01));

            // Show the axes.
            MeshExtensions.AddAxes(group);
        }
        public static void AddZAxis(Model3DGroup group,
                                    double length = 4, double thickness = 0.1)
        {
            MeshGeometry3D mesh   = new MeshGeometry3D();
            Point3D        origin = D3.Origin -
                                    D3.XVector(thickness / 2) -
                                    D3.YVector(thickness / 2) -
                                    D3.ZVector(thickness / 2);

            mesh.AddBox(origin,
                        D3.XVector(thickness), D3.YVector(thickness), D3.ZVector(length));
            group.Children.Add(mesh.MakeModel(Brushes.Blue));
        }
        // Make a cube at the origin.
        public static void AddOrigin(Model3DGroup group,
                                     double cubeThickness = 0.102)
        {
            MeshGeometry3D mesh   = new MeshGeometry3D();
            Point3D        origin = D3.Origin -
                                    D3.XVector(cubeThickness / 2) -
                                    D3.YVector(cubeThickness / 2) -
                                    D3.ZVector(cubeThickness / 2);

            mesh.AddBox(origin,
                        D3.XVector(cubeThickness),
                        D3.YVector(cubeThickness),
                        D3.ZVector(cubeThickness));
            group.Children.Add(mesh.MakeModel(Brushes.Black));
        }