The golden proportion
The golden proportion
Among many proportions there is one having unique properties. If the ratio of the sum of the quantities to the larger quantity is equal to the ratio of the larger quantity to the smaller one, then the two quantities are in golden proportion, denoted by the Greek letter phi (? ). And this proportion can be called in different terms such as the golden mean, golden section or the golden proportion which is an irrational mathematical constant having a value of approximately equal to 1. 6180339887…
As a definition, the golden rectangle can be described as a rectangle which has a height to base proportion of 1: 1. 6180339 (approximately). This special rectangle is found in many places. It is found in art, architecture, and nature as well. In Leonardo da Vinci’s Mona Lisa, you can see that the subjects face is bordered by a golden rectangle. The Parthenon, built in ancient Greece, has several golden rectangles. Also in nature, the logarithmic growth of nautilus shells is at a rate of phi (? ).
As the golden proportion is found in the design and beauty of nature, it can also be used to achieved beauty and balance in the design of art. This is only a tool, and not a rule, for composition. The golden proportion has been used for centuries especially in paper sizes and designs for a significant reason of creating a design that is aesthetic and pleasing to the eyes of most people. The golden proportion is being applied in different paper size such as in photos, scrapbook and notebooks, page layout in web and even in paintings.
In constructing a golden rectangle, first, construct a simple square and draw a line from the midpoint of one side of the square to an opposite corner. Then, use that line as the radius to draw an arc that defines the height of the rectangle. Lastly complete the golden rectangle. In general, this paper tends to show the short definition of golden ratio and golden rectangle and that these two principles have significant impact on the improvement of art and designs and may have more in page lay-outing and paper sizes.