The scale of zoom visualizations now goes well past the limits of the observable Universe, with no signs of loss of complexity at all.
I have deperately tried to interpret some insight into this 'discovery' - and failed; this may be because of my lack of understanding, of course, but I don't think so. Mathematically, the set of complex numbers is infinite - uncountably so, in fact (Cantor's diagonal argument):
http://en.wikipedia.org/wiki/C...
The observable universe is limited by the speed of light, so it will be less than ~28 ly across (we can at most see as far as light has traveled since the big bang), and intuitively infinite must be bigger than something of limited size. It is a misleading argument, though; infinity is a strange thing, and comparing the sizes of infinite sets has to be done with care (as Cantor's argument demonstrates). For one thing, we don't really know that the universe is a continuum in any of the senses defined in mathematics - there are speculations that there is a "smallest size" of distance and time "because of quantum" (I'm being deliberately wooly-mouthed because I don't know what I'm talking about here). If that is the case, then any infinite set will have more elements than there are bits of universe that we can observe (total volume of observable universe / volume of.the smallest element = finite number)
If we are talking about continua, on the other hand, then we don't really know, I think. A Mandelbrot set is a subset of the complex numbers, so is at most of the same cardinality as that one. Incidentally and perhaps surprisingly, there are exactly as many complex numbers as there are real numbers, and there are as many real number between 0 and 1 as there are between +/- infinity, courtesy Cantor again. The universe, on the other hand may or may not be fully describable as some sort of N-dimensional, smooth manifold (manifold: a winkly version of space, so to speak); a smooth manifold will again have the same cardinality as [0,1], and if the universe can not be fitted into one of those, it is anybody's guess, I think. There are sets larger than the real numbers.
As an aside note: why have I ignored the idea of 'size' as in distances or volumes? Because it makes no sense to talk about metrics, when one of the sets does not have a defined method of measuring distances in meters or any other physical distance. Assigning a physical unit to an abstract set would be arbitrary.