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At the moment the closest I've got to that is the application of a choice of IFS transforms (without rotation) applied before the main formula and then the inverse applied after the main formula.
That method produced "Silver Eggs" and "The Mandelbulb Virus" (see below).
I'm now working on a newer version of my formula, this time using classes and to be uploaded to the UF database, that will allow you to plug in multiple transforms into the iteration loop either many performed on a single iteration or in alternating mode - which transforms to be performed when to be chosen based on user-defined conditions.

Like I said before, I really do like the "Silver Eggs" image and the way it came out.  But, I still think it looks like a crocheted covering (or netting) around those "eggs", something like the following:

   http://www.Nahee.com/Stuff/CrochetedItems.png