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I understand that there is pi, but I was provoked by a question that asked this, "I have a rectangle and if I cut a square off of it it produces the same type of rectangle. I know that the width is 1 meter but what is the length?" Please help me out and tell me the symbol and what it represents.

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It's called the golden number/ratio and is represented by the Greek letter phi :$$\phi = \frac{1+\sqrt{5}}{2}$$.

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  • $\begingroup$ Some call it $\tau$. $\endgroup$ – André Nicolas Apr 24 '14 at 0:46
  • $\begingroup$ @AndréNicolas: I didn't know. Where do people write it as tau? $\endgroup$ – user88595 Apr 24 '14 at 0:48
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    $\begingroup$ One can search. It is mentioned in the Wikipedia article, but buried, and mentioned early in the Wolfram Mathworld article. $\endgroup$ – André Nicolas Apr 24 '14 at 0:54
  • $\begingroup$ Again thank you so much! It helped me with my homework! $\endgroup$ – user111737 Apr 25 '14 at 2:11

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