Monday, 8 August 2011

Fibonacci

Fibonacci is a sequence that can be found in nature, and a lot of other things; from buildings, to sea shells.
Fibonacci is a sequence of numbers, which adds up from the previous number.
Example: 0,1,1,2,3,5,8,13,21,34, etc.
The Fibonacci sequence is named after Leonardo of Pisa, who was known as Fibonacci.
Fibonacci is related to the golden spiral, which is a sequence of squares that gets bigger and bigger, in a spiral.

Here is an example of fibonacci found in a building:

This ancient greek temple first precicely inside the golden spiral. It's fibonacci pattern is: 1,1,2,3,5,8,13. You can see from the squares, representing the numbers; the larger the square, the bigger the number.

Plants have no way to know the Fibonacci numbers, but they develop in the most effective way. Thus, many plants have leaves arranged in a Fibonacci sequence layout around the stems. Some pine cones follow a layout on Fibonacci numbers, and also the sunflower.
Rings on the trunks of palm trees meet the Fibonacci numbers. The reason for this is to achieve an optimum, the maximum efficiency. Thus for example, following the Fibonacci sequence, the leaves of plants can be arranged so as to occupy a small space and obtain as much sun.
The idea in this leaves arrangement starts from the consideration of the golden angle of 222,5 degrees, divided by the entire 360 degrees will result in the number 0.61803398 ..., known as the Fibonacci sequence ratio.

discovered by Vincent

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