From the times of the ancient Greeks when geometry was widely developed a special value that is sought to be the most pleasant and aesthetical value between the width and heights of a rectangle was derived. This value is called the golden ratio and is marked by the symbol φ (phi) it is widely used even today in architecture design, arts and pictures printed in books or web design and many other fields especially in presentations. One of the most common uses of the golden ratio in architecture is for the Greek column façade.

The value of φ is approximately 1.618 but we have to remember that it has infinite number of digits after the point as the value is an irrational number. This number can be derived by geometry to be equal to the positive value of the square:

The value of   φ   is derived from the definition of the golden ratio to be:

One interesting thing of the Fibonacci sequence is that the division of two consecutive terms converges to the golden ratio. The accuracy is improved as the higher the terms are.

The Fibonacci sequence is 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89...