what is the fibonacci sequence? which one is the most accurate?

what is the  fibonacci sequence? which one is the most accurate?

 

what is the  fibonacci sequence?

 

what is the  fibonacci sequence?  - In mathematics, the Fibonacci numbers are sequences defined recursively as follows:
Explanation: this sequence starts from 0 and 1, then the next number is obtained by adding the two previous consecutive numbers. With this rule, the first sequence of Fibonacci numbers is:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946…

The Fibonacci number sequence can be expressed as follows:
Fn = (x1n – x2n)/ sqrt(5)
with
Fn is the nth Fibonacci number
x1 and x2 are solutions to the equation x2-x-1=0

The comparison between Fn + 1 and Fn is almost always the same for any value of n and starting from a certain value of n, this comparison has a fixed value. The comparison is called the Golden Ratio whose value is close to 1.618.
This figure has actually been studied by many foreign researchers, they generally call this number the "golden ratio" or "golden number".
Well, maybe some of you are already familiar with the last 2 terms. For those of you who have read about this, you must know that this number has something to do with Fibonacci numbers or Fibonacci sequences.

read also   Fibonacci Number _ Which is often used and accurate. 


Do you know why researchers call it the golden number? because there are so many events in nature that are related to this number. In fact, before Obama was elected president, some predicted that Obama would become the 44th American president on the basis of the Fibonacci series analysis. Kinyis kinyis yo bro

According to the belief of scientists in ancient times, the Fibonacci numbers are one proof of the existence of God. Wow?
What exactly are Fibonacci numbers? The Fibonacci number is a sequence of numbers obtained from the addition of the two numbers in front of it, for example like this:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, etc.
Explanation: For example, the number 5 is obtained from the addition of the 2 numbers in front of it, namely 2+3.
Maybe you then ask, then what do these numbers have to do with the evidence of the existence of God?
These Fibonacci numbers show some strange facts, but first we need to know about the number Phi? What is the Phi number?
The number Phi is the number 1.618. What does this have to do with Fibonacci? Phi is the result of dividing the number in the Fibonacci sequence by the number in front of it.
For example 3:2, 34:21, 89:55.
The larger the Fibonacci numbers involved in the division, the closer the result will be to 1.618.

As briefly mentioned earlier, this number is evidence that shows the existence of God and was considered sacred by ancient scientists.
Almost all of God's creations are considered to have Fibonacci numbers in their lives, be it plants, animals, or humans.


Here are some facts found in nature:

 
1. Number of Leaves on Flowers (petals)


Perhaps most do not pay much attention to the number of leaves on a flower. And when observed, it turns out that the number of leaves on the flower adheres to the Fibonacci series. example:
– number of petals 3: lilies, irises
– number of petals 5: buttercup (a kind of flower bowl)
– the number of petals 13: ragwort, corn marigold, cineraria,
– number of petals 21: daisies, black-eyed susan, chicory
– the number of petals 34: plantain, pyrethrum
– number of petals 55.89 : michaelmas daisies, the asteraceae family


2. Flower Pattern


From the center point to the outer circle, the pattern follows the Fibonacci sequence. more obvious is in sunflowers.


3. Human Body

- Hand

If you measure the length of your finger, then compare it to the length of the curve of your finger, you will find 1.618

– Try dividing your height by the distance from your navel to your feet, then the result is 1.618.
– Compare the length from the shoulder to the tip of the finger with the length of the elbow to the tip of the finger, then the result is 1.618.
– Compare the length from the waist to the foot with the length of the knee to the foot, then the result is 1.618
– All human body size ratios are 1,618. Try practicing bro

Other Facts
1. the number of female bees must be more than the male. When compared between the number of female bees and the number of male bees, the result is 1.618
2. Sea shells

Sea shells have hard shells that are spiral-shaped. when compared between the length of the leading spiral line with the next, then the result is 1.618
3. Leaves, stalks, insects, and everything spiral shaped
When compared between the length of the last spiral and the previous one, the result will always be 1.618.
4. It is said that Stradivarius, the creator of the ball, also used this figure in laying holes in the violin.
5. Parthenon

 Parthenon Plan

Fibonacci Parthenon sketch

The building, which was designed by Phidias, also uses a comparison based on the Phi number. 1,618.

6. Breeding a pair of rabbits

According to a study conducted, a pair of rabbits breed with the Fibonacci number sequence pattern.

7. Obama's Victory and the Fibonacci Numbers
There was a study published in June 2008, at that time still in the campaign stages of the presidential nominees Obama and MacCain, which the research suggests and may precisely predict that Obama will become the 44th President of America.

This research is based on political events in America that are related to the political life of black people in America (African-Americans). In the study, it was stated that based on the series of years of political events in America, Obama has a great chance to become President of America.
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The series of numbers known as the Fibonacci sequence was first described by Indian mathematicians Gopala and Hemachandra in 1150, while investigating the various possibilities of stuffing things into pockets. This series was later written into a book by a scientist from Italy named Leonardo Fibonacci (1170-1250) in 1202 with the title Liber Abaci. This book was distributed in Western Europe which at that time discussed the ideal growth of the rabbit population.

The Fibonacci sequence has the patterns 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946, and so on. . The nth number (with n integers) in this series is formulated as the sum of the previous two numbers,

The ratio of the (n + 1) term to the nth term is almost always the same for any value of n. In addition, starting from a certain value of n, the comparison is constant. This comparison is called the golden ratio, which is close to 1.618. The pattern can be seen in the picture.
The red spiral fills the segments of the square with an area corresponding to the Fibonacci sequence.

Do you know, friends, behind the Fibonacci sequence and the seemingly simple golden ratio, there is a very big meaning that even shows the majesty of God in the creation of the universe? 

Let's look at some examples!

1. Shellfish

The spiral pattern is very similar to the spiral drawing of the Fibonacci sequence. Could this seashell be created by chance without God's intervention?

2. Trees and their branches

The series of numbers formed by tree trunks, branches, to the smallest twigs fills the Fibonacci sequence.

3. Pistil Flowers

The number of pistils corresponds to the Fibonacci sequence.

4. Flower Crown

The number of petals from the flower crown corresponds to the Fibonacci sequence.

5. Storm

The spiral shape of the storm approaches the Fibonacci spiral.

6. You

Yes, you are an example of how beautiful the Fibonacci sequence is. The human body exhibits the Fibonacci sequence and the golden ratio, from face to ear. Look around you, can you show your friends, be it the Fibonacci numbers, the Fibonacci series, or the golden ratio in nature? Happy searching!

Oh yes, the Fibonacci series and the golden ratio have also been discussed in several previous editions of 1000 Guru Magazine. Don't miss to read!




Reading material (and image sources):

    http://majalah1000guru.net/2013/07/golden-ratio/
    http://majalah1000guru.net/2013/05/symmetry-dalam-mathematika-sains/
    https://www.pinterest.com/pin/564779609500902027/
    https://www.theodysseyonline.com/vine-thread
    https://www.mathsisfun.com/numbers/images/fibonacci-spiral.gif
    https://geometryarchitecture.wordpress.com/2012/04/02/figures-fibonacci-pada-nature/
    https://techno.okezone.com/read/2016/12/21/56/1572541/alam-semesta-miliki-pola-keteraturan

 

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