How do you apply a gradient to a curved path in Illustrator CS3?

I am attempting to make a gradient on a logarithmic spiral in CS3 that goes from black to white.





How could I apply a gradient so that it follows the curve of the spiral?How do you apply a gradient to a curved path in Illustrator CS3?
either for the line or for the object as mesh,





http://teom.coningham.net/ai-cs2/gradien…


http://www.khulsey.com/adobe_illustrator…





adobe livedocs


http://livedocs.adobe.com/en_US/Illustra…


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