Difference between revisions of "Phi"

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Revision as of 16:36, 20 June 2006

Phi ($\phi$) is defined as the limit of the ratio of successive terms of the Fibonacci sequence. It can be shown that this limit is a solution to the quadratic equation $x^2-x-1=0$. Since the terms of the fibonacci is positive, we take the positive solution of the quadratic and define $\phi=\frac{1+\sqrt{5}}{2}$.