I'm trying to recreate this object in POV-Ray:

http://en.wikipedia.org/wiki/Image:HSLSphere1.png

What I'm having trouble with is creating a single texture for the entire
object.
I can do the Hue and Saturation paramaters, but can't quite get the
Saturation parameter. Using a slope map for the Saturation parameter works
OK, except when I create the cut-away the slope reverts to 100% or 0% at
those sections.

Is there a pattern I can use that mimics the way the Saturation parameter
works in the above image?

Thanks.

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