![]() It's found in the proportions of animals, in plants, the solar system and even in the seemingly chaotic movements of stock markets. 600x347 - viewed 14633 times) What makes this so much more than an exercise in mathematics is that this proportion appears throughout creation and extensively in the human face and body. There is this one unique point, at which the ratio of the large piece to the smaller piece is exactly the same as the ratio of the whole rope to the larger piece, and at this point the golden ratio of both is 1 : 1,618. For example cut it in exact half and you get a ratio of 1 : 1 from small to large piece and 1 : 1/2 from any of the two pieces to the original length of the rope. Each place of cut would result in different ratios for the length of the small piece to the large piece, and of the large piece to the entire rope. There's an infinite amount of places at which you could cut it. Imagine a rope and you were asked to cut it somewhere. Where Pi (3,14.) is the ratio of the circumference of a circle to its diameter, Phi (1,618.) is the Golden Ratio that results when a line is divided in the ratio of 1 : 1,618. Watch this video for validation (I suggest watching it after reading trough the topic if this is your first encounter to Phi as it might be confusing): ![]() Phi is not only irrational but the very most irrational number. Meaning they have an infinite number of digits after the decimal point. Why is that? Phi, just as Pi is one of a few irrational numbers found inside mathematics. Mathematics of the Golden Number Most of you know about the number Pi (3,14.) but relatively few about Phi (1,618.), the Golden Ratio. Most of you may be more interested in the appearances of Phi in nature, it's application to art, architecture and design, and its potential insights into the more spiritual aspects of life, but as we are the inside the nakedscients forum, let's begin with the purest of facts about Phi, which are found in mathematics. The Golden Number and Ratio is unique in its mathematical properties and pervasive in its appearance throughout natural reality. If you don't know what the Golden Number is I am here to give you a short introduction into this fascinating but still mysterious topic with the intention to start an interesting discussion on the why. This “golden” number, 1.61803399., represented by the Greek letter Phi (Φ), is known as the Golden Ratio, Golden Number, Golden Proportion, Golden Mean, Golden Section, Divine Proportion and Divine Section. What makes a single number so interesting that ancient Egypts, Greeks, Renaissance artists, a 17th century astronomer and a 21st century novelist all would use and write about it? It's a number that goes by many names. Hello everyone, I would like to start a topic about the Golden Number: 1.61803399.
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