Jones: Just adding to the 'clues'... this from my posting Dec.17, 2011. Look for phi-ratios in the numbers... -Mark
============= "Golden ratio" hints at hidden atomic symmetry Jan. 7, 2010 Courtesy Helmholtz Association of German Research Centres and World Science By tuning the system the researchers found that the chain of atoms acts like a guitar string whose tension comes from interaction between the spins of the constituent particles. "For these interactions we found a series," or "scale," of "resonant notes," said Radu Coldea of Oxford University, who led the research. "The first two notes show a perfect relationship with each other," added Coldea, principle author of a paper on the findings to appear in the Jan. 8 issue of the research journal Science. The "pitch" of these notes, or their frequencies of vibration, are in a ratio of about 1.618, the same as "the golden ratio famous from art and architecture," he continued. If two numbers are related by the golden ratio, their sum is also related to the larger of them by the golden ratio. In other words, if A divided by B is that special number, then A+B divided by A is the same number. =============
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