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Dr. Alan Tennant, who led the research group in Berlin, said: "Such discoveries are leading physicists to speculate that the quantum, atomic scale world may have its own underlying order. Similar surprises may await researchers in other materials in the quantum critical state."
The research paper is available at http://www.sciencemag.org/cgi/content/abstract/327/5962/177
Also see The Divine Proportion: An Indecipherable Code.