Friday, August 03, 2007

Where Can We Find the Golden Ratio in Real Life?

The golden ratio has a special significance for many artists, architects and mathematicians as well. Because of its interesting properties it has been used in many real life situations.

The various artists have used the golden ratio as a rectangle. An artist uses it to size the portrait or landscape. The golden ratio comes when the ratio of the longer side of the rectangle to the shorter side is equal to ratio of the sum of both sides to the longer side. It has many unique properties as well and hence attracted the attention of mathematicians.

Many terms are there which refer to this ratio. For example, golden section, golden cut, mean of Phidias, extreme ratio, divine proportion etc. The exact value of this is determined to be (1 + square_root(5) ) / 2. Thus it is an irrational number. Its approximately equal to 1.618.

The Parthenon was constructed to indicate the golden ratio in its architecture. Its rectangular shape and all the rectangles present in it are having the golden ratio embedded in them.

The most famous Fibonacci series has the golden ratio in relation the ratio of the successive Fibonacci numbers.

Some spiral plants like phyllotaxis go also have a Fibonacci relationship and hence golden ratio coming into picture.

The Great pyramid of Gaza also includes the golden ratio in its inclination angle.

Some text books and note books have golden ratio in their size.

The Visa and Master Card are designed with golden ratio. This is done because the research found that the golden ratio gives beauty to the objects.

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