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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, defined as 'phi * phi = phi + 1.'  The value of phi is
    
:<math>\frac{1 + \sqrt{5}}{2}</math>  
 
:<math>\frac{1 + \sqrt{5}}{2}</math>  
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:1.618...  
 
:1.618...  
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It has been observed that the golden ratio is evident in the arrangement of branches along the stems of plants, and of veins in leaves.
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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.
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[[Category:Mathematics]]
 
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