I just found this old question
https://web2.0calc.com/questions/isosceles-amp-equilateral-triangles-perimeter-and-area
Our guest's answer had been automatically blanked, probably becasue it had a link in it.
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 :)
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 \(1+\frac{1}{1+\frac{1}{1+\frac{1}{1+\frac{1}{\dots}}}}=\frac{3-\sqrt{5}}{2}\)