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# Neat geometry question (repeat)

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I just found this old question

https://web2.0calc.com/questions/isosceles-amp-equilateral-triangles-perimeter-and-area

This must be the first time a moderator had looked at it.

It is a neat question and answer.

Some of you might like to take a look :)

Thanks for the question Benjamingu22 and thanks guest for leading us to the answer :)

Melody  Nov 13, 2017
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Thanks for bringing that up Melody, that was very interesting!

ProMagma  Nov 14, 2017
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That looks kind of like a Fibonacci Spiral. It is based on the sequence $$t(n)=t(n-1)+t(n-2)$$ . Eventually, this will leave you with the constant phi, which equals ​$$1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac{1}{\dots}}}}=\frac{3-\sqrt{5}}{2}$$

helperid1839321  Nov 14, 2017