# ParametricObjects

VTKExamples/Python/GeometricObjects/ParametricObjects

### Description

See Parametric Equations for Surfaces by Andrew Maclean for an excellent description of these beautiful parametric surfaces.

You can edit the following code by selecting any one of the functions and the corresponding object will be displayed.

### Code

ParametricObjects.py

    #!/usr/bin/env python

    import vtk

    class ParametricObjects(object):
        def ParametricObjects(self):

            colors = vtk.vtkNamedColors()

            # Select one of the following functions.
            # parametricObject = vtk.vtkParametricBoy()
            # parametricObject = vtk.vtkParametricConicSpiral()
            # parametricObject = vtk.vtkParametricCrossCap()
            # parametricObject = vtk.vtkParametricDini()
            # parametricObject = vtk.vtkParametricEllipsoid()
            # parametricObject = vtk.vtkParametricEnneper()
            # parametricObject = vtk.vtkParametricFigure8Klein()
            # parametricObject = vtk.vtkParametricKlein()
            # parametricObject = vtk.vtkParametricMobius()
            # parametricObject = vtk.vtkParametricRandomHills()
            # parametricObject = vtk.vtkParametricRoman()
            # parametricObject = vtk.vtkParametricSpline()
            # parametricObject = vtk.vtkParametricSuperEllipsoid()
            # parametricObject = vtk.vtkParametricSuperToroid()
            parametricObject = vtk.vtkParametricTorus()

            parametricSource = vtk.vtkParametricFunctionSource()
            parametricSource.SetParametricFunction(parametricObject)

            # mapper
            mapper = vtk.vtkPolyDataMapper()
            mapper.SetInputConnection(parametricSource.GetOutputPort())

            # actor
            actor = vtk.vtkActor()
            actor.SetMapper(mapper)
            actor.GetProperty().SetDiffuseColor(colors.GetColor3d("Burlywood"))

            # ------------------------------------------------------------
            # Create the RenderWindow, Renderer and Interactor
            # ------------------------------------------------------------
            ren = vtk.vtkRenderer()
            renWin = vtk.vtkRenderWindow()
            iren = vtk.vtkRenderWindowInteractor()

            renWin.AddRenderer(ren)
            iren.SetRenderWindow(renWin)

            # add actors
            ren.AddViewProp(actor)
            ren.SetBackground(colors.GetColor3d("Beige"))

            # enable user interface interactor
            iren.Initialize()
            renWin.Render()
            iren.Start()

    if __name__ == "__main__":
        po = ParametricObjects()
        po.ParametricObjects()