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From the latest issue of NewScientist, which has a nice fractal on the cover page:

            

Is the universe a fractal?

Written across the sky is a secret, a hidden blueprint detailing the original design of the universe itself.   The spread of matter throughout space follows a pattern laid out at the beginning of time and scaled up to incredible proportions by nearly 14 billion years of cosmic expansion.   Today that pattern is gradually being decoded by analyzing maps of the distribution of the stars, and what has been uncovered could shake modern cosmology to its foundations.

Cosmology is founded on the assumption that when you look at the universe at the vastest scales, matter is spread more or less evenly throughout space.   Cosmologists call this a "smooth" structure.  But a small band of researchers, led by statistical physicist Luciano Pietronero of the University of Rome and the Institute of Complex Systems, Italy, argues that this assumption is at odds with what we can see.   Instead they claim that the galaxies ...  are super fractals.
 
    http://www.newscientist.com/contents/issue/2594.html
 

This is very encouraging.  Physicists are gradually being forced to confront what anybody with a functioning eye/brain system can see for themselves: It's a fractal Universe.  The relevant question is no longer "Is the Universe fractal?", but rather "What are the specific fractal properties and symmetries of the fractal Universe?". I suspect the fractal paradigm will become our working cosmological paradigm in the near future, and keep us busy for quite a while.

Rob
www.amherst.edu/~rloldershaw