Here alsou I found site explainimng that golden ratio have absolutely no value.
http://www.lhup.edu/~dsimanek/pseudo/fibonacc.htmArt and architecture. Some authors claim that artists and architects have throughout history deliberately incorporated f into the proportions of their work. And often-cited example is the Parthenon.
One internet source says that the Greek letter "phi" is used for the golden mean because the Parthenon's architect was Phideas. Funny, we thought phi honored Fibonacci, since the first syllable of his name is pronounced "fi". But we must ask, if f was so important to Phideas, then
Why did he incorporate it into the smaller end of the building only?
Why is the rectangle of the floor plan in ratio 7/16 = 0.4375 with reciprocal 2.286? Wouldn't he have made the ratio f or its reciprocal? (There are some interior details of the floor plan that do happen to come close to the golden ratio, but none would be visibly apparent to anyone standing inside.)
The parthenon sits on a hill, and none of its rectangular features are seen as rectangles from the ground.
Phideas used columns that taper toward the top, giving an illusion often employed by architects. It makes the structure seem taller. Doesn't that defeat the supposed purpose of using the golden rectangle as the most attractive rectangle?
Certainly, the often-repeated assertion that the Parthenon in Athens is based on the golden ratio is not supported by actual measurements. In fact, the entire story about the Greeks and the golden ratio seems to be without foundation. The one thing we know for sure is that Euclid, in his famous textbook Elements, written around 300 B.C., showed how to calculate its value. —Keith Devlin, mathematician.
The reason f shows up in nature has to do with constraints of geometry upon the way organisms grow in size. Irrational numbers (those that cannot be expressed as a ratio of integers) are often revealed in this process. The well-known irrationals are Ö2, f, e, p and any multiples or products of them. To make matters more interesting, these are related. For example, phi is f = (Ö5 - 1)/2. And the Euler relation, eip = -1 relates e, i and p where i = Ö(-1). The natural processes that display irrationals are not governed or caused by f in order to achieve some desired purpose or result, but rather they are constrained by the geometry of the universe and the limitations imposed by that geometry on growth processes.
Folks addicted to mystical mathematics are really motivated by a belief that there's something "magical" about certain combinations of numbers. They are obsessive pattern seekers. Pattern recognition can be a useful trait, if not carried to the point of believing that every perceived pattern represents something profound or mystical.
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This is End of Greatness. Very fractal
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This is cool stuff.
http://www.youtube.com/v/C9tOc47ceWQ&rel=1&fs=1&hd=1