It can be found at the petals of some flowers in the nature. Their petals grows this way because it enables them to get the maximal amount of sunlight, since they don't overshadow eachother.
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The Fibonacci sequence can be used to determine the golden ratio. If you divide a term in the sequence by its predecessor, at suitably high values, it approaches the golden ratio.
In italy, the Pantheon, however has the golden ratio. Its pillars below the roof is a rectangle, the golden rectangle, on the roof (top part) is a triangle, the golden triangle.
they used it tot work out things like propotions!
It is pleasing to the human eye.
I don't think it is. The "golden ratio" is more of a math curiosity than something that is actually used in all sorts of places.