The Fibonacci Series

The Fibonacci series is a mathematical series discovered by a Medieval Italian mathematician that starts with zero and one and grows by adding to itself. The last two terms in the sequence are added together to produce the next term:

0+1=1, 1+1=2, 1+2=3 and so on as follows:

0,1,1,2,3,5,8,13,21,34,55,89,144….

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As the series develop, the ratio of the consecutive numbers becomes closer to the Golden Ratio also called “Golden Mean”, “Perfect Division” or the “Divine Ratio”. Its exact value is (1+√5)/2, or with its first 10 decimals 1,6180339887.

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These proportions manifest in nature like in seashell or the spiraling galactic systems or the patterns of flowers.

All flowers have 3, 5, 8, 13, 21 or 34 petals and rows of seeds in sunflowers and pinecones always add up to a Fibbonacci number.

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The Golden ratio has also been used to analyze man-made systems such as the financial markets and can be found in music, sculpture, science, chemistry and art.

 

According to John Beaulieu in his book "Human Tuning", working with the Fibonacci series can produce great benefits, like enhancing creativity or dreaming, healing an addiction or trauma, improving athletic performance, and developing creative thinking or problem solving.