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The golden section

The golden sectionIn English called “The golden section” actually “The golde ratio”, meaning the golden ratio. The golden section / conditions are 1:1.618.

“The golden section” Mathematics is all really about the golden ratio. Therefore, the term “It Gyldne cuts” may not be completely accurate. When it still called the golden ratio, then it may have something to do with, that in history using. mathematics tried to charge forward, when, for example, buildings or paintings are beautiful. Is it made / designed in a certain ratio (the golden ratio, the divine cut / conditions), so most people would describe them as being handsome.

Parthenon

Old buildings

You will find several old buildings in ancient Greece, which is designed according to the golden ratio, meaning, the ratio of height to width is about 1:1.618. Here on the left depicts the image of the ancient building Pantheon in Greece. But you'll also find buildings in Denmark. In Copenhagen, SAS building such as a golden rectangle.

Fibonacci-tal

Sunflower coilFibonacci is a series of numbers, as a mathematician of the same name around the 1200s used to describe the rate of increase in rabbits. The number sequence can be seen in several contexts in nature. It is found, for example, among the sunflower flowers, pine cones, blade, Cauliflower Others. But also in film, music, art m.m. It can read more about in English here.

There's a curious connection between the golden ratio and the so-called Fibonacci numbers, Thus the series of numbers:
1, 1, 2, 3, 5, 8, 13, 21…

Any number in the Fibonacci number sequence is defined as the sum of the two preceding numbers. 13 is, for example, the sum of 5 and 8. And the next number after 21 is 34, as 13+21 is 34.

The ratio of the two adjacent Fibonacci numbers are approximate 1.618:1! The larger Fibonacci numbers are, the nearer to the ratio of the golden section (or golden ratio).

5:3 = 1,67
8:5 = 1,6
13:8 = 1,625
21:13 = 1,615

Fibonacci i Kunst

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