Spiral Julia in 3D

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Happy new year everyone! I wish you all conquer the remaining dimensions in the 21st century - spiritually and computationally!

As you all know, the Julia fractals based on z = z^2 + c possess plenty of spirals. For example, if Re(c), Im(c) are non-zero and c is close to the edge of Mandelbrot set, the screen will be seemingly covered with spirals.

I wonder if we can accomplish the same in 3D and produce a 3D spiral? The shape of this object in the third dimension can be a cone or anything similar. The 3D Julia would be a spiral around the cone. This seems like an easy task in Xenodream, but the result is an IFS fractal.

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http://en.wikipedia.org/wiki/File:Juliasetsdkland1.jpg

Do you think we could extrude this image with the inverse distance estimation, so that the center of each spiral would become a mountain top?
Importantly, is it a true 3D Julia? I guess not...