Difference between revisions of "Golden Ratio"

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The golden ratio is a number, commonly known as phi, defined as 'phi * phi = phi + 1.' The value of phi is
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The golden ratio is a number, commonly known as phi (<math>\varphi</math>), defined as  
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<math>\varphi^2 = \varphi + 1</math>.  The value of phi is
  
 
:<math>\frac{1 + \sqrt{5}}{2}</math>  
 
:<math>\frac{1 + \sqrt{5}}{2}</math>  

Revision as of 02:35, March 26, 2007

The golden ratio is a number, commonly known as phi (), defined as . The value of phi is

Phi is an irrational number. In decimal form it is often written

1.618...

It has been observed that the golden ration is evident in the arrangement of branches along the stems of plants, and of veins in leaves.