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Archive for September, 2012

Golden ratio

Steven Strogatz has a nice article about the golden mean in the New York Times. It’s worth a read. I learned a few more factoids about the golden mean.My favorite representation of the golden mean is in term of its continuous fraction representation.

 

\phi = 1+\frac 1{1+\frac 1{1+\frac 1{ 1+\dots}}}

One can use this representation to show that \phi is the most irrational number. I’ll leave that proof for some other day.

 

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