Golden Proportion






If you divide a line into two parts so that: the longer part divided by the smaller part is also equal to the whole length divided by the longer part then you will have the golden ratio. Golden proportion is related to beauty. It is an unexpected dimension of beauty which affects our lives at every turn. Proportion implies a relationship between a larger and a smaller. It appears many times in geometry, art, architecture and other areas. Golden Ration makes any shape more pleasing and beautiful.

Golden proportion is also known as the golden ratio, golden number, golden mean and golden section. It is the precise way of dividing a line, music or anything. It is aesthetically the most pleasing proportion. Mathematician Mark Barr proposed using the first letter in the name of Greek sculptor Phidias, phi, to symbolize the golden ratio. Usually, the lowercase form (φ) is used. We shall use Phi for the closely related value 1.6180339887...

The Golden Proportion, phi, has been observed to evoke emotion or aesthetic feelings within us. The ancient Egyptians used it in the construction of the great pyramids and in the design of hieroglyphs found on tomb walls. Plato in his Timaeus considered it the most binding of all mathematical relations and makes it the key to the physics of the cosmos. During the Renaissance, phi served as the "hermetic" structure on which great masterpieces were composed. Renowned artists such as Michelangelo, Raphael, and Leonardo da Vinci made use of it for they knew of its appealing qualities. Evidence suggests that classical music composed by Mozart, Beethoven, and Bach embraces phi.

Some sources claim that the golden ratio is commonly used in everyday design, for example in the shapes of postcards, playing cards, posters, wide-screen televisions, photographs, light switch plates and cars




References :
http://milan.milanovic.org/math/english/golden/golden1.html

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