Fibonacci's sequence is an example of what?

pixabay.com

Almost every widely held assumption regarding the renowned Fibonacci sequence is incorrect, from its genesis to its ultimate meaning.

 

Each number in the Fibonacci sequence is the sum of the two preceding numbers. The following sequence begins at 0 and 1: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, and so on indefinitely. A mathematical equation can be used to explain the Fibonacci sequence: Xn+2 = Xn+1 + Xn

 

Several unique qualities have been ascribed to the numerical sequence, such as being "nature's secret code" for building ideal structures like the Great Pyramid of Giza or the iconic seashell in your high school mathematics textbook. But a lot of that is wrong, and the true history of the series is a lot more grounded.

 

The Fibonacci sequence has a backstory.

 

You should be aware that the sequence was not created by Fibonacci, who did not use the name he gave himself. According to Keith Devlin, a Stanford University mathematician, Leonardo Fibonacci was born around 1170 and was initially known as Leonardo of Pisa.

 

According to Devlin, the nickname "Fibonacci" (roughly translated as "son of the Bonacci clan") was only given to the mathematician in the 19th century by historians to separate him from another famous Leonardo of Pisa.

 

Devlin, who is also the author of "Finding Fibonacci: The Quest to Rediscover the Forgotten Mathematical Genius Who Changed the World," claims that Leonardo of Pisa did not discover the sequence (Princeton University Press, 2017). The Hindu-Arabic numeric system was originally mentioned in ancient Sanskrit manuscripts circa 200 B.C., centuries before Leonardo of Pisa.

 

For as long as I can remember, "Devlin told Live Science of the technology's existence."

 

A "cookbook for how to make calculations" was written by Leonardo of Pisa in 1202 in the huge tome "Liber Abaci," Devlin claimed. He said "Liber Abaci," a Hindu-Arabic arithmetic textbook for craftsmen, provided essential tools for tracking profits, losses, remaining loan sums, etc.

 

Leonardo of Pisa starts the sequence with a rabbit problem in the book. Here's how it all goes down: It's best, to begin with, a pair of rabbits: a male and a female. A litter of one male and one female rabbit is produced after one month of maturation. It's only a matter of time before another male and female rabbit are born, and they too can mate after a month. (Forget the implausibly unlikely biological explanations.)Which number of rabbits would you have after a year?

 

What we now call "the Fibonacci sequence" was employed to calculate the solution, which turned out to be 144.

 

The sequence was initially presented to the Western world by "Liber Abaci," written in Latin. Leonardo of Pisa, however, never referenced the sequence again after a few brief paragraphs on rabbit rearing. Most of this sequence's mathematical features were unknown until the 19th century when mathematicians began to dig further into its history. Devlin said that an official term for the rabbit issue was given to it in 1877 by the French mathematician Édouard Lucas.

 

What is the significance of the Fibonacci sequence?

 

The Fibonacci sequence can be found in a few natural places besides being a useful teaching tool. However, it's not some secret code that guides the universe's architecture, either, Devlin says.

 

True, the Fibonacci sequence is closely linked to the so-called "golden ratio," which has its strange mythology and is now recognized as phi in the scientific community. Every number in the Fibonacci sequence comes closer to the golden ratio, 1.61180339887498948482...

 

Devlin argued that the golden ratio could capture various sorts of plant growth. The golden ratio can be seen in the spiral arrangement of some plants' leaves or petals. "Phyllotaxis: A Systematic Study in Plant Morphogenesis" claims that pinecones and sunflower seeds are spirals (Cambridge University Press, 1994). However, this rule is broken by just as many plants.

 

"Let's put it this way: it's not 'God's only rule,'" Devlin stated.

 

Vitruvian Man (the shell) and the seashell

 

The nautilus seashell, perhaps the most famous example of all, does not produce new cells according to the Fibonacci sequence. A link to the Fibonacci sequence becomes tenuous when individuals start drawing connections to human anatomy, art, and architecture.

 

According to mathematician George Markowsky, writing in a 1992 piece in the College Mathematics Journal, "it would take a big book to detail all of the disinformation concerning the golden ratio," much of it simply a reiteration of inaccuracies by different authors.

 

This misunderstanding can be traced back to Adolf Zeising's book "Aesthetic Research," published in 1855. Zeising says the human body's proportions are based on the golden ratio. Later, the golden ratio spawned "golden rectangles," "golden triangles," and various theories about where these famous dimensions appear.

 

It has been suggested that the golden ratio can be found in various Renaissance structures, such as the Giza Pyramid and Parthenon, Leonardo da Vinci's "Vitruvian Man," and so on. Devlin said that uncritical statements about the "uniquely appealing" ratio have been made. According to him, all these claims are demonstrably untrue when put to the test.

 

"In general, we're adept at seeing patterns. Regardless of whether or not there is a pattern, we can see it. "Devlin made the statement." There's no substance to what we're doing.

Reference : https://www.livescience.com/37470-fibonacci-sequence.html

Image source : https://pixabay.com/id/photos/bunga-matahari-lapangan-6007847/

What is Fibonacci sequence explain?

What is the Fibonacci sequence and why is it important?

How is Fibonacci used in real life?

What are the first 10 Fibonacci numbers?