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## 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.