preview

Related To The Golden Ratio

Decent Essays

This short report and presentation related to the Golden Ratio. The Golden Ratio has interested mathematicians for a long time. The Golden Ratio is a special number that is defined mathematically from

which produces 1.618033989…, commonly used as the approximation 1.618. There is interesting fact that digits just keep on going to infinity, with no pattern. Mathematically, the Golden Ratio is tends to be an irrational number.
Two numbers tend to be “golden” if the ratio of their sum to the bigger number is equal as the larger to the smaller number. In other words, this relationship could be expressed with the following equation:

In the case of a rectangle, if k is the length of the longer sides, whereas m is the length of the shorter sides, …show more content…

Historically, this number can be found in the architecture of many ancient buildings such as the Parthenon and the Great Pyramids. Some investigations of the Acropolis, including the Parthenon, established that majority of its proportions mostly are close to the golden ratio. It could be concluded that architects knew the golden ratio, that is why classical buildings and their elements are proportioned according to the golden ratio. The design of the Parthenon was created according to the Golden ratio, as illustrated in the picture 1. Another famous example of usage the Golden ratio in architecture is the Acropolis of Athens. The dimensions of the Great Pyramid of Giza, which is approximately 4,600 years old, are also based on the Golden Ratio. When it comes to art, there are several illustrations, which can prove that the Golden ratio is used in the arts as well. For instance, Leonardo da Vinci’s paintings in De Divina Proportione (On the Divine Proportion) and Mona Lisa employ the Golden ratio in their geometric equivalents. Also Mondrian used the Golden number in his masterpiece as well as Salvador Dali in his The Sacrament of the Last

Get Access