See povray.binaries.images for example renderings

Brief description:
    The scence declares 12 plane functions describing the 12 faces of a
dodcahedra

    It the creates a joined function built by summing up the sigmoid
functionss of all 12 plane functions
    (sigmoid(x) = 1 / (1 + exp(-ax))

    An isosurface using the joint function is creaed
the threshold of the isosurface determines the type of polyhedra created

  a 0.5 threshold will create a regular dodcahedron {5, 3}
  a 1.5 threshold will create a small stellated dodecahedron {5/2, 5}
  a 2.5 will create a great dodecahedron {5, 5 / 2}
  a 3.5 will create a great stellated dodecahedron {5/2, 3}

More info could be found in the source file (heavily commented)

I  am convinced many other polyhedras can be constructed in that manner.
All you poly-maniacs out there could surely comeup with ideas...
I also believe that there is a better way of doing what i am doing (more
simple, more efficient, etc...)
So all you pov-ray-maniacs out there..
    I'm waiting to hear from you
    Oded

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Attachments:
Download 'isododca.pov.txt' (6 KB)