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Fibonacci series and golden ratio (phi)

Fibonacci (1170-1240), an Italian merchant, became famous in Europe because he was also a brilliant mathematician. He developed the Fibonacci summation series, which runs as follow

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144

If we divide each number, as a part of series, is divided by its preceding value (13/8 or 21/13), the operation results in a ratio that oscillates around the irrational figure 1.6180338875.

It’s never ending and very much promising and effective. It is also known as phi (i.e. 1.618). Opposite to this is phi’ (1.618-1= 0.618).

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