Le nombre D’or la beauté mesurée on Windows Pc

A surprising, mysterious and magical number to have made speak about him since the highest antiquity in many fields such as geometry, architecture, painting, nature, ...
It would be an expression of harmony and aesthetics in the arts, although some people blame him for his esoteric nature, which seeks absolutely to find an obscure beauty and seems to achieve it!

It is noted φ (phi) in tribute to the Greek sculptor Phidias (5th century BC) who participated in the decoration of the Parthenon on the Acropolis in Athens.

As for his name, he has evolved over time. The mathematician and Franciscan monk Luca Pacioli (1445, 1517) speaks of "Divine proportion", later the physicist Johannes Kepler (1571, 1630) calls it the "jewel of geometry". While for Leonardo da Vinci, it will be the "golden section". It was not until 1932, with Prince Matila Ghyka, diplomat and engineer to hear the term "golden number".

We find traces of the number of gold well before the Greeks. In Egypt for example, coincidence or will to achieve it, the ratio of the height of the pyramid of Cheops (measured by Thales of Miletus (-624; -548)) by its half-base is equal to the number of gold.
But it is the Greek Euclid of Alexandria (-320?; -260?) Who for the first time gives a definition in his work "The elements".

 is its exact value. His decimal writing is infinite.
Let's give an approximate value:
1,618,033 988,749 894,848 204,586,834 365,638 117,720,309 179,805 762,862 135,448 622,705 260,462 189,024,497,072,072,041.
You can download the first 5,000 decimals of the golden number by clicking on the following link: 5000 decimals.

The golden rectangle
The format of a rectangle is the length-to-width ratio.
Example: The size of a standard paper sheet (A3, A4 or A5) is.
External link to an animation.

A golden rectangle is a rectangle whose format is equal to the golden ratio.
External link to an animation.
Chance or esoteric will, we find the golden rectangle on the facade of the Parthenon in Athens.
In the photo: DC / DE = φ.

Indeed, the number of gold corresponds to a ratio of lengths. One segment is divided so that the ratio of the great part on the small part is equal to that at all on the great part. This ratio is the number of gold found in the sides of the golden rectangle.

The golden spiral
To build a golden spiral, we build a golden rectangle in which we build a large square side the width of the rectangle. We repeat the operation in the remaining rectangle which is a golden rectangle ... and so on, ... Then we build quarter circles in the squares.
External link to an animation.

The spiral obtained is often found in nature: sunflowers, pine cones, shells, arrangement of leaves or petals on certain plants.

PLAN
I. A little test
II. Definition
III. History
 From antiquity to the present day
 Today in our daily life: maps and formats
IV. Properties and animated constructions
 Rectangle of gold, its spiral and the eye of God
 Golden triangle and its spiral
 Pentagon of gold
V. The golden ratio and the human body
 The quine. The compass of gold.
 Leonardo and golden perfection
VI. Architecture and golden ratio
VII. Art and golden ratio
 Painting, comics and violins
VIII. Nature and number of gold
 Plants, snails ...
 Rabbits and the Fibonacci Sequel
 The capital
IX. It's not just the golden ratio
 Other formats

La proportion divine
Le nombre d’or
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