Proportion and the Golden Ratio

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Since ancient times, mankind had been always looking for beauty and proportion in all things. In every era, someone had dedicated his life to find the most excellent method to express Aesthetic through art (Architecture, Book Design, Painting, Music, Design, etc). One of the two great treasures of Geometric is the division of a line into extreme and mean ratio. Whit this formula the Greeks answered to the question: how can we divide a line in two sections to have the most appeal balance? The Greeks claimed that the most visually pleasing division has the property that the ratio of the length of the entire line segment to the length of the long piece, and they expressed with this formula: L/1=L+1/L. It seems kind of confusing, but with practice it will be easier to appreciate it on art expressions. This formula helped to find what we know today as the Golden Ratio or as sometimes it called the divine proportion. The Golden Ratio is represented by a Greek symbol and it is the number 1.61803. For years they introduce this Golden Section to different compositions, but later on trying to created better compositions, they discovered another great system to express beauty The Golden Rectangle. The Golden rectangle is a perfect proportionate shape, which helps to create balanced and beautiful compositions. A Golden Rectangle can be any size, but it has to maintain this proportions: ratio=8/5. Since then, many artists had been using this on their masterpieces. Actually, nowadays The Golden Rectangle is used on note cards, cereal boxes, and in general in media publicity. We can form a Golden Rectangle by using the formula, which means that its longer side is radio times as long as its short side. Some people had done some investigatio... ... middle of paper ... ...) we see that 8 times 8+5 that is equal to 8 times 13, and we divide this number 13/8 we got this number 1.625 and we go on the creations of more shapes we will closer to this number 1.608033 that we known as the Golden Section. There are several examples on nature about this perfect, beautiful and proportionate creation. Some of them are the sunflowers, the Pinwheel Galaxy, the Aloe plant, some type of flowers, some insects, the Nautilus as I mentioned before, and so many other examples. As a conclusion, if we are looking for a living prove of perfection through balanced proportions, we just have to see around us and appreciated the excellence on nature. Mathematics are used to created beauty as well, and if we applied this sections in our daily life we will able to create beautiful compositions, but overall we will able to appreciated beauty through Mathematics.

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