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Number phi (φ)

The golden ratio is an irrational number with the value φ = 1.61803398874989…

 


Explanation

You can calculate the golden ratio as

With the quadratic formula you get

with as positive solution

and as negative solution

          

As the numbers a and b are both positive, the negative solution is not valid.

 


History

The letter φ (phi) is from the old Greek sculpter Phidias (490 - 430 BC), who wrote a book about the golden ratio.


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