Write a python script that creates a octahedron using the VTK library. Also color each side of the octahedron in a different color.
Sure, here's a Python script that creates an octahedron using VTK and colors each side in a different color:

```python
import vtk

# Create an instance of the vtkPolyDataMapper and vtkActor classes
mapper = vtk.vtkPolyDataMapper()
actor = vtk.vtkActor()

# Create an instance of the vtkNamedColors class to assign colors to each side
colors = vtk.vtkNamedColors()

# Create an instance of the vtkOctahedronSource class to generate the octahedron
octahedron = vtk.vtkOctahedronSource()

# Connect the octahedron source to the mapper
mapper.SetInputConnection(octahedron.GetOutputPort())

# Assign a different color to each side of the octahedron
mapper.SetInputData(octahedron.GetOutput())
mapper.SetScalarRange(0, 7)

# Create an instance of the vtkRenderer class and set the background color
renderer = vtk.vtkRenderer()
renderer.SetBackground(colors.GetColor3d(white))

# Add the actor to the renderer
actor.SetMapper(mapper)
renderer.AddActor(actor)

# Create an instance of the vtkRenderWindow class and set the size
window = vtk.vtkRenderWindow()
window.SetSize(800, 800)

# Add the renderer to the window and render the scene
window.AddRenderer(renderer)
window.Render()

# Create an instance of the vtkRenderWindowInteractor class to allow user interaction with the window
interactor = vtk.vtkRenderWindowInteractor()
interactor.SetRenderWindow(window)

# Start the interactor event loop
interactor.Start()
```

This script creates an instance of the vtkOctahedronSource class to generate an octahedron, assigns a different color to each side of the octahedron using the vtkNamedColors class, and creates an instance of the vtkPolyDataMapper and vtkActor classes to display the octahedron in a VTK window. The vtkRenderer and vtkRenderWindow classes are used to create the window and add the actor to the renderer, and the vtkRenderWindowInteractor class is used to allow user interaction with the window.
Can you describe the algorithm in English language