Understanding The Fibonacci Sequence And Golden Ratio

Source: www.fractalenlightenment.com | Original Post Date: November 4, 2003 –

The Fibonacci Sequence

The Fibonacci sequence is possibly the most simple recurrence relation occurring in nature. It is 0,1,1,2,3,5,8,13,21,34,55,89, 144… each number equals the sum of the two numbers before it, and the difference of the two numbers succeeding it. It is an infinite sequence which goes on forever as it develops.

The Golden Ratio/Divine Ratio or Golden Mean -

The quotient of any Fibonacci number and it’s predecessor approaches Phi, represented as ϕ (1.618), the Golden ratio. The Golden Ratio is best understood geometrically by the golden rectangle…