Divine Proportion , or the Golden Ratio The golden ratio is a ratio that makes it difficult for the poor establishment of the Joe makes it easier . Albert Einstein called the golden ratio golden section , divine proportion or ratio is perfect . The name indicates that what is present, there is something heavenly harmony on earth projection displays. Lets look at what constitutes the practice. aranymetszes1Egy that section , aranymetszéssel divided into two parts to it , the following relationship is true : The whole section (a + b) it bears the greater part ( a) , as the larger part ( a) proportional to the smaller part ( b) . These two ratios are not only equal , but a mathematical constant Φ (phi ), pronounced [fi ] to comply , which is an irrational number ( great phi ) == 1.618 033 988 749 ... It is usually a small Fi also indicate φ == 0.618 033988749 ... The known and used since ancient times . Pythagoras, Euclid , the father of geometry is dealt with . Probably not so named to fiction, since its name from the Greek szobrászról Pheidiászról because it is often applied works. Theres also an interesting feature , the name , even the Fibonacci sequence , in which 1,202 families rabbit - growth algorithm invented Fibonacci (Leonardo Pisano ) is a mathematician Pisa . The point is that the last part of the series always get standing in front of the sum of the two preceding item . 1 , 1, 2 , 3, 5 , 8, 13 , 21 , 34 , 55 , 89 ... of the following members 55 +89 = 144 would be , and so on. This serial number is not considering the origins of chance - even the effect of the growth and expansion of the numbers . But the interest has just follows that we also have to do with the golden section . It has everything . Examine the consecutive numbers ratio of 2:1 2 = 3:2 = 5:3 = 1.666 1.5 1.6 13:8 = 8:5 = 1.625 21:13 = 1.615 34:21 = 1.619 55 : 34 = 1.6176 89:55 = 1.618182 ... we notice that the values of ratios - the more we move the line further ( goes to infinity ) - are increasingly approaching the Φ -invariant. Now, lets look around the world , where we meet the aranymetszéssel ! Lets start with ourselves , people! In our body , the bones , the proportion of different parts of my body are all carrying the golden section . Of a volute nautilus nautilus octopus with a wonderful crust is similar to the regular Fibonacci spiral . Each intersection ratio ( pl.AC : DB FG EG ) golden ratio. Fibonacci spiral arranged pine cones and pineapples scales , sunflower seeds , cauliflower roses , raspberries eyes of the projections ... the leaf of numerosity , the flowers elrendeződéseiben the stem and the branches elrendeződésénél the trees here are all the Fibonacci sequence, the number of See you . Of course not exaggerate and accuse each spiral to Fibonacci spiral , because there are simple logarithmic spirals , which only resemble the golden ratio - helix . The ancient Cheops pyramid carries the proportion of the golden ratio. Builders of identity , the circumstances of the building is still not clear. But it very interesting that a mathematical regularities , contain ratios , respectively. has an accuracy of orientation , which can not really explain scientifically . But back to the Great Pyramid of golden ratio . The ratio of the pyramid alapélének half ( 186.42 m) and the height of the side panel ( 115.18 m) Phi , ie 1.618 . In fact the same ratio shows the distance between the Moon and Earth and an aspect ratio as well. The artists also used to love the golden section , where golden rectangles, golden squares , triangles or even the gold . Mostly it was used when something immortal , they wanted to create something lasting . Therefore, several church façade or side to height proportions occurred . The objective mathematical tools can bring down the ground plane of the celestial laws. The Greek Panthenon perhaps this owes to the radiator until the present human nature is Leonardo Da Vinchi name should be mentioned. He was the first who showed that the human body is composed of a set of golden section . The Mona Lisa painting can hide a multitude of golden rectangles . But we can follow even without such exhaustive . the Eiffel Tower in Paris , St. Peters Basilica in Rome , but there are also aspects such as Hungarian . Designed by Odon Lechner facades of buildings in Budapest . Even the music is also used to love. Zoltán Kodály and Béla Bartók consciously used some művükben emphasize the main message of the point of intersection of artificial gold . It is a work of artistic value if the underlying geometric ratios are proportional to promote the message of the composition of locating and understanding. Send word to find the artwork and hearing ears, eyes vision , compassionate human beings of creation. The celestial message will reach us . They are all based on mathematical laws on us. Today, the modern world has accelerated consciously used the TV from the advertisements everywhere. Their goal is not necessarily the same in ancient times lofty goals. The cigarette boxes , credit cards , cell phones often golden rectangles, which acts on our subconscious is an incentive for us to desire it, following vásárlókká avenzsáljon us , or we can become illustrious fogyasztókká . Now for a moment I looked back at the article and saw with horror that almost escaped matematikázást ... Im sorry , its hard not to touch on some basic concepts difficult to disregard . I tried to be relatively easy to describe the irrational rationalization or the heavenly földivé become . There are many things I missed , which is related to this topic . We can not be integrated , although the limit calculation nip been released . The internet has been a wide variety of useful literature is available . This article foretaste served to gain an insight into the world of the golden ratio . DIvine proportion
Posted on: Wed, 29 Jan 2014 08:12:05 +0000
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