Thursday, February 03, 2011

The Golden Ratio


Leonardo's Human Golden Ratio

Fibonacci, the greatest Mathematician of the Middle-Ages, was a genius who reached the summits of thought and dream. He described a Mathematical series: the Golden Ratio, known also as the Divine Proportion.

In this series any number is the sum of the two previous numbers. It goes on: 1,1,2,3,5,8,13,21,34,55,89,144,233,377,610, 987, 1597, and so on.

The ratio 1.618… is a constant between each two following numbers.
It is always an irrational number without an end.

This series has fantastic qualities, mathematical and accordingly geometrical.

The occupation with the Golden Ratio is so exiting, the formed harmonies so wonderful, that it can create a full world perception.


The Golden Ratio is credited as having great influence on the development of human history and knowledge.

The architects of the pyramids in Egypt proportioned it with a Golden Ratio between the mast and the side lengths.

In the Parthenon in Athens the front is a Golden Rectangle, one of the best manifestations of the Golden Ratio.

The holiest shrine of the Roman Empire, The Pantheon, was also designed according to the Golden Ratio.

Renaissance men like Leonardo de Vinci and Michelangelo used it in their famous works of art.

Composers like Mozart, and modern artists like the architect Le-Corbusier, created their works of art using the Golden Ratio.


The importance of the Golden Ratio in Nature is even bigger.

This ratio appears in countless natural phenomena, which are amazingly different in their outlook appearance.

Few examples are:
The D.N.A shape, the numbers of leafs in plants, the sub divisions of mountains ranges and rivers, the distances between the solar system planets.


The human body organs are proportioned according to the Golden Ratio.

It appears in many of the facial, body and limbs proportions.

This was one of the foundations of Classic Hellenistic sculpture.

Le-Corbusier designed the 'Modular', a drawing of a man with Golden Ratio proportions as a base for his Architectonic plans.