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How was the Fibonacci sequence discovered

How did Leonardo Fibonacci discover the Fibonacci sequence

November 23 is celebrated as Fibonacci day because when the date is written in the mm/dd format (11/23), the digits in the date form a Fibonacci sequence: 1,1,2,3. A Fibonacci sequence is a series of numbers where a number is the sum of the two numbers before it How did Leonardo Fibonacci discover the Fibonacci sequence? He noted that, after each monthly generation, the number of pairs of rabbits increased from 1 to 2 to 3 to 5 to 8 to 13, etc, and identified how the sequence progressed by adding the previous two terms (in mathematical terms, Fn = Fn-1 + Fn-2), a sequence which could in theory extend indefinitely Fibonacci discovered the Fibonacci sequence primarily through his travels in the Middle East and India. While talking to other merchants and... See full answer below. Become a member and unlock all.. The Fibonacci sequence has been named after Leonardo of Pisa also known as Fibonacci (a mix of the words Filius Bonacci, which means son of Bonacci). He first described this sequence in the year 1202 in his book Liber Abaci

The Fibonacci sequence was actually discovered in India by about the sixth century AD. Leonardo Fibonacci, also known as Leonardo of Pisa, was an Italian mathematician who was the first to.. The Fibonacci sequence was invented by the Italian Leonardo Pisano Bigollo (1180-1250), who is known in mathematical history by several names: Leonardo of Pisa (Pisano means from Pisa) and Fibonacci (which means son of Bonacci). Fibonacci, the son of an Italian businessman from the city of Pisa, grew up in a trading colony in North Africa.

The Fibonacci sequence: Why is it so special

The Discovery of the Fibonacci SequenceA man named Leonardo Pisano, who was known by his nickname, Fibonacci, and named the series after himself, first discovered the Fibonacci sequence around 1200 A.D. The Fibonacci sequence is a sequence in which each term is the sum of the 2 numbers preceding it Leonardo Fibonacci discovered the sequence which converges on phi. In the 1202 AD, Leonardo Fibonacci wrote in his book Liber Abaci of a simple numerical sequence that is the foundation for an incredible mathematical relationship behind phi The discovery of the Fibonacci Sequence dates all the way back to the 2nd or 3rd century B. C. E. through a long line of Indian mathematicians. The first of which was Pingala, who laid the groundwork for the sequence Fibonacci helices, based on small Fibonacci numbers, appear in the arrange-ment of leaves of many plants on the stem. The Fibonacci spiral, also related to the Fibonacci sequence, occurs in Nature as the shape of snail shells and some sea shells. Cook [Cook,1979] found that the spiral or helix may lie at the core of life's principles: that of. Fibonacci's sequence is all around us. In nature, the number of petals on a flower is usually a Fibonacci number, and the spiraling growth of a sea shell progresses at the same rate as the Fibonacci sequence. In art, music and architecture you find a constant called the golden mean, or phi, which is 1.61803 and corresponds to the ratio.

Who discovered the Fibonacci sequence? Study

  1. One of his most important and interesting discoveries is probably what is known as the Fibonacci sequence. It goes like this: 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, and so on. He discovered this sequence through an experiment on an over population and breeding of rabbits
  2. Fibonacci is best known, though, for his introduction into Europe of a particular number sequence, which has since become known as Fibonacci Numbers or the Fibonacci Sequence.He discovered the sequence - the first recursive number sequence known in Europe - while considering a practical problem in the Liber Abaci involving the growth of a hypothetical population of rabbits based on.
  3. Many sources claim it was first discovered or invented by Leonardo Fibonacci. The Italian mathematician, who was born around A.D. 1170, was originally known as Leonardo of Pisa, said Keith.
  4. The early mathematician Fibonacci introduced Arabic numerals to the West. He also discovered a number sequence that's in everything from daisies to databases. Learn more on EarthSky
  5. The sequence of numbers 1, 1, 2, 3, 5, 8, 13, etc was described by Fibonacci around 1200 AD. The Indian mathematician Pingala found the sequence at least 1,0..
  6. The mathematical ideas the Fibonacci sequence leads to, such as the golden ratio, spirals and self- similar curves, have long been appreciated for their charm and beauty, but no one can really explain why they are echoed so clearly in the world of art and nature. The story began in Pisa, Italy in the year 1202

How Fibonacci number series originated in Ancient India. Almost 2 decades ago, I was introduced to the fascinating concept called Fibonacci series, by the book Da Vinci Code authored by Dan Brown, which was highly circulated among friends & the most talked about book in our college back then. Thanks to the book, Fibonacci series & its. The Origins Of The Fibonacci Sequence Fibbonaci (Leanardo Pisano Bogollo, Fibonacci was his nickname) first introduced the series of numbers known as the Fibonacci sequence in his book Liver Abaci in 1202. Fibonacci was a member of an important Italian trading family in the 12th and 13th century

Fibonacci Sequence - History - Month, Rabbits, Pairs, and

Fibonacci Sequence and Phi (Φ) The Fibonacci sequence was originally discovered by the Italian mathematician Leonardo de Fibonacci de Pisa (1170-1240). The basic concept of the Fibonacci sequence is that each number equals the sum of the two previous numbers. The Fibonacci Sequence of Numbers Explaine The Fibonacci sequence was first discovered in the year 1202 by an Italian mathematician named Leonardo Bonacci. He was known as the traveler from Pisa'' and is considered one of the most talented mathematicians of the Middle Ages. This discovery was made while he was calculating the expansion of rabbit groups through the course of a year. He was able to predict the way that a colony that.

In his 1202 book Liber Abaci, Fibonacci introduced the sequence to Western European mathematics, although the sequence had been described earlier in Indian mathematics, as early as 200 BC in work by Pingala on enumerating possible patterns of Sanskrit poetry formed from syllables of two lengths How did Fibonacci discover the Fibonacci sequence?May 15, 2012Leonardo Fibonacci discovered the sequence which converges on phi. In the 1202 AD, Leonardo Fib.. Fibonacci did not speak about the golden ratio as the limit of the ratio of consecutive numbers in this sequence. Legacy. In the 19th century, a statue of Fibonacci was set in Pisa. Today it is located in the western gallery of the Camposanto, historical cemetery on the Piazza dei Miracoli Fibonacci numbers were discovered by Leonardo of Pisa, Italy and are a number sequence where the previous two numbers are added to create the next number in the sequence; such as 1, 2, 3, 5, 8, 13, 21, 34, 55, 89 and so on. This number sequence can be seen throughout nature as in the arrangements of seed spirals in a sunflower and the number of. Therefore, the 13th, 14th, and 15th Fibonacci numbers are 233, 377, and 610 respectively. Calculating terms of the Fibonacci sequence can be tedious when using the recursive formula, especially when finding terms with a large n. Luckily, a mathematician named Leonhard Euler discovered a formula for calculating any Fibonacci number

Discovery of the Fibonacci Sequence Example Graduatewa

  1. July 3, 2016. Among the other things Fibonacci introduced to the Western world was a sequence of numbers discovered by 6th century Indian mathematicians. In that sequence each number is the sum of the previous two numbers - and it would later be named the Fibonacci Sequence. Using the numbers geometrically will create a logarithmic spiral
  2. 1) A brief history of the Fibonacci Sequence including information such as: How it was. discovered, Who discovered it, and other pertinent information. The mathematics of the Fibonacci Sequence such as: What is the pattern of the sequence, and How unknown terms of the sequence can be found (give examples). 2) A definition of the Golden Ratio.
  3. The Sequence that Fibonacci discovered was the Fibonacci Sequence. Leonardo Fibonacci discovered this theory when he was studying how fast rabbits breed in 1202. Once he found out their breeding habbits he realised that there was a pattern in the way that they were breeding
  4. The resulting number sequence, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55 (Fibonacci himself omitted the first term), in which each number is the sum of the two preceding numbers, is the first recursive number sequence (in which the relation between two or more successive terms can be expressed by a formula) known in Europe
  5. The Fibonacci sequence is perhaps one of the world's most fascinating mathematical theories. It was first discovered in India, where the poets discovered that there is an organized pattern in the vedic poems
  6. The Fibonacci Sequence in music. The Fibonacci Sequence plays a big part in Western harmony and musical scales. Here are the facts: - An octave on the piano consists of 13 notes. Eight are white keys and five are black keys. - A scale is composed of eight notes, of which the third and fifth notes create the foundation of a basic chord

Fibonacci numbers, the elements of the sequence of numbers 1, 1, 2, 3, 5, 8, 13, 21, , each of which, after the second, is the sum of the two previous numbers. These numbers were first noted by the medieval Italian mathematician Leonardo Pisano (Fibonacci) in his Liber abaci (1202; Book of th We've discovered the Fibonacci sequence right under our noses! Finding Fibonacci and the golden ratio The pattern of summing two numbers to get the third number is known as the Fibonacci. The Fibonacci Sequence was actually given the name by a French mathematician Edouard Lucas in the 1870s. Death and Legacy . In addition to Liber Abaci, Fibonacci authored several other books on mathematical topics ranging from geometry to squaring numbers (multiplying numbers by themselves). The city of Pisa (technically a republic at that. July 10, 2016. Among the other things Fibonacci introduced to the Western world was a sequence of numbers discovered by 6th century Indian mathematicians. In that sequence each number is the sum of the previous two numbers - and it would later be named the Fibonacci Sequence. Using the numbers geometrically will create a logarithmic spiral

Mathematic expression for the Fibonacci Spiral (see more

What is the Fibonacci Sequence (aka Fibonacci Series

Fibonacci is one of the best-known names in mathematics, and yet Leonardo of Pisa (the name by which he actually referred to himself) is in a way underappreciated as a mathematician. When hearing the name we are most likely to think of the Fibonacci sequence, and perhaps Leonardo's problem about rabbits that began the sequence's rich history Fibonacci refers to the sequence of numbers made famous by thirteenth-century mathematician Leonardo Pisano, who presented and explained the solution to an algebraic math problem in his book Liber Abaci (1228). The Fibonacci sequence and the ratios of its sequential numbers have been discovered to be pervasive throughout nature, art, music, biology, and other disciplines The Fibonacci sequence and the golden ratio occur naturally in nature. Furthermore, they are used to create visually appealing designs — from 2-D artworks to 3-D structures. While the powers of two find use in computer science (binary code and bits) and graph theory (networks; more on that in a later article).. First discovered 800 years ago, the Fibonacci sequence of numbers is inspiring artists and architects once again. By Jonathan Jones Perhaps the most compelling evidence of the Fibonacci Sequence in nature are in pine cones. Whether or not you actually believe that the Golden Rectangle is prevalent in nature, pine cone spirals bear striking resemblances to the Fibonacci Sequence either way. In the images below (courtesy of Williamette University), you can clearly tell that the differen

Leonardo Fibonacci c1175-1250. The Fibonacci sequence [maths]$$1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,$$ is one of the most famous number sequences of them all. We've given you the first few numbers here, but what's the next one in line? It turns out that the answer is simple. Every number in the Fibonacci sequence (starting from $2$) is the sum of the two numbers precedin It was also discovered that this number has an amazing connection with what is called the Fibonacci Sequence, originally studied in the context of biology centuries ago. This unexpected link among algebra, biology, and the arts suggests the mathematical unity of the world and is sometimes discussed in philosophy as well The Fibonacci sequence is a famous mathematical pattern credited to Italian mathematician Fibonacci in the 13th century (though others had discovered it even earlier). The sequence begins with 0 and 1, and the next number is always the sum of the previous two numbers. The sequence continues forever Hi, I think that I discovered a new sequence related to Fibonacci sequence: You might knew that the Fibonacci sequence starts with 0 and 1 and the following number is the sum of the previous 2; every time you go further in the sequence, the ratio of two consecutive numbers be nearer to the golden ratio (phi)

Video: The History And Applications Of The Fibonacci Sequence

The Primordial Sequence S1 S2 & S3: The Fibonacci Sequence translated with PSL.2018 from The LDMF Foundation on Vimeo.. THE DISCOVERY, FINDINGS, PROCESS. Abstract. Along the study of the nonagon, i arrived to the Fibonacci Sequence of numbers, suggesting that within the nonagon also nature organic development patterns, as geometric structures, will be found The sequence is named after a 13 th-century Italian mathematician, Leonardo of Pisa, who was known as Fibonacci. But it was in the 19 th century that it was discovered the sequence could be found in the formation of many plants, flowers and natural forms. The mathematical make-up of plant The Fibonacci sequence, discovered around 1202 by the Italian mathematician, is an infinite sequence of numbers in which 1 appears twice as the first two numbers, and every subsequent number is. Nature makes frequent use of the system, sunflowers, artichokes and galaxies, even. Music uses the Golden Ratio and the sequence, and there is even a method of composing dedicated to the use of the sequence, the Schillinger System. Leonardo of Pisa changed the world when he discovered the Fibonacci numbers and sequence Around 1200, mathematician Leonardo Fibonacci discovered the unique properties of the Fibonacci sequence. This sequence ties directly into the Golden ratio because if you take any two successive Fibonacci numbers, their ratio is very close to the Golden ratio. As the numbers get higher, the ratio becomes even closer to 1.618

golden section & fibonacci numbers in the proportions of

Origins of the Fibonacci Sequence The Classroo

Beauty in the eye of the Fibonacci Sequence . Many of the real world illustrations of the Fibonacci sequence portray what most would consider beauty. The most famous examples are found in nature. Several species of plants, in which the exact number of flower petals are always found to one that is found in the Fibonacci sequence that is one less than the Fibonacci number two places beyond the last one added. Golden Ratio In 1843, the French mathematician Jacques-Philippe-Marie Binet discovered a formula which could find any Fibonacci number without having to find any of the previous numbers in the sequence. This formula finds the n-th Fibonacci number using The Fibonacci sequence was first discovered during a study of rabbits. If newborn rabbits become adults in one month, each pair of adult rabbits produces one pair each month, and no rabbits die, then how many pairs of rabbits would be produced after seven months? How many after twelve months? Thanks

It was discovered in the 13th century by Leonardo Pisano (also known as Fibonacci), who was referred to as the most outstanding European mathematician of the middle ages. The Fibonacci sequence of numbers, as well as a new Hindu-Arabic numeral system that made all mathematical calculations easier, was introduced to the world in Fibonacci's. Buy Now on Amazon. Besides the fact that rabbits produce at a geometrical rate (as do the numerical values of the digits in the Fibonacci sequence), there is a strange and wonderful relationship between geometry (which deals with properties, measurement, and relationships of points, lines, angles, and figures in space) and the Fibonacci sequence, which is derived from algebra (in which. The Fibonacci Sequence mathematically correlates with the golden ratio, which can be considered the physical manifestation of the formula - also represented by the greek alphabetical symbol, Phi (φ). The ratio can also be discovered in music - through tonal frequencies, timing signatures, and the physical design of instruments..

Discovery of the Fibonacci Sequence Essay - 1170 Word

A Fibonacci spiral is a series of connected quarter-circles drawn inside an array of squares with Fibonacci numbers for dimensions. The squares fit perfectly together because of the nature of the sequence, where the next number is equal to the sum of the two before it This, of course, is the definition of the Fibonacci sequence, expressed in terms of ratios. Now suppose the ratio converges to some limit A. Take the limit of both sides as n -> infinity: A = 1 + 1/A, A^2 - A - 1 = 0, A = (1 + Sqrt[5])/2, the Golden Ratio, after we reject the negative root as not meaningful

In Chapter 13 of the book the author defines sdmdsikd-pahkti (additive sequence). The (so-called) Fibonacci numbers a-e a particular case of this pankti (sequence). 238 PARMANAND SINGH HM 12 Narayana's sdmasikd-pankti is his tool for the treatment of permutations, combinations, .partitions, etc.; it is defined with respect to the greatest digit The Fibonacci Sequence is a series of numbers that exhibits a fascinating numerical pattern that was originally discovered by Leonardo Pisano Bigollo. Famously known as Fibonacci, Leonardo was a 13th-century Italian mathematician that popularized the Hindu-Arabic number system in the Western World and introduced Europe to the sequence of. The Fibonacci Sequence Was Actually Discovered In India 1000 Years Earlier. Message [Page 1 of 1] 1 The Fibonacci Sequence Was Actually Discovered In India 1000 Years Earlier Wed Sep 09, 2020 10:54 am. Consciousness Of Economic. Posts: 3718 Join date: 2017-02-15 The Relevance of the Sequence . What Fibonacci and scholars before him discovered is that this sequence is prevalent in nature in spiral shapes such as seashells, flowers, and even constellations. As a spiral grows outward, it does so at roughly the same rate as the percentages derived from the Fibonacci ratios

The fibonacci sequence and the golden ratio #Scichallenge2017

Fibonacci Leonardo (of Pisa) - Italian Number Theoris

What Is the Fibonacci Sequence? Live Scienc

This golden ratio is found in the Fibonacci sequence and exists in almost everything if you know where to look. Even in forex. An Italian mathematician, Leonardo Fibonacci, discovered the Fibonacci sequence. The relationships among the numbers in the sequence are not only consistent in mathematical theory, but also in nature, architecture, and. Fibonacci used patterns in ancient Sanskrit poetry from India to make a sequence of numbers starting with zero (0) and one (1). Fibonacci added the last two numbers in the series together, and the sum became the next number in the sequence. The number sequence started to look like this: 1, 1, 2, 3, 5, 8, 13, 21, 34... The Fibonacci Sequence Calculation 2. Who invented the Fibonacci Sequence? In the 1202 AD, The Fibonacci Sequence was introduced to Europe by Italian mathematician Leonardo Pisano who is also famously known as Fibonacci (Quick fact: Fibonacci means son of Bonacci in Italian)

What's special about the shape of a Nautilus shell? Find

First we discovered the Fibonacci sequence from a challenge posed by the teacher so that we could discover the regularity. Then we divided the previous issue with the later, and it has gone 1.6, the number ɸ phi. Then we made a square where we got the middle of one side, and using the compass we built the golden rectangle. Then we found tha We can see that the sequence of ratios approaches the number 1.618. Using mathematical terms, the limit of the sequence of ratios in the sequence of Fibonacci numbers is 1.618. This number is called , the Greek letter phi, which is the first letterϕ of the name of the Greek sculptor Phi-dias who consciously made use of this ratio in his work These numbers are part of the Fibonacci numbering sequence, a pattern discovered around A.D. 1200 by Leonardo Pisa (historically known as Fibonacci). Each succeeding number is the sum of the two preceding numbers. The sequence of these numbers is 1,2,3,5,8,13,21,34,55,89,144,233, ad infinitum It was discovered by an Italian mathematician, Leonardo of Pisa, better known as Fibonacci, in the 13 th century. The sequence mostly occurs in most of the biological structures and forms of life. For example, rose, lilies, daisies, buttercups, and rose are all Fibonacci flowers. The spirals of the pinecone equal Fibonacci numbers

The Fibonacci Sequence Was Actually Discovered In India

The Fibonacci sequence is often used by computer science professors to explain the concept of Recursion. It has been discovered that the golden ratio pattern is necessary for the human brain. Fibonacci numbers are found in the growth patterns of many plants and animals, particularly where something grows in a spiral. Flower petals often come in Fibonacci numbers. The example below has only 5 petals. Floral Fibonacci Number by Mike DeHaan. Measuring the length of each coil in a garden hose may show an extended. On the origin of the Fibonacci Sequence T.C. Scotta , P. Marketosb,c a Institut für Physikalische Chemie, RWTH Aachen University, 52056 Aachen, Germany, email: tcscott@gmail.com b I.M.Panagiotopoulos School, International Baccalaureate Department, 14, N. Lytra Street, Psychiko 154 52, GREECE, email: marketop@otenet.gr c 21A, Florinis Street.

The Golden Spiral: Fibonacci, Sacred Geometry and Divine

The Fibonacci sequence was the outcome of a mathematical problem about rabbit breeding which can be found in the Liber Abaci. The question: In optimal conditions, how many pairs of rabbits can be produced from a single pair of rabbits (one male and one female) in one year, assuming that every month each male and femal For now, there are NO accepted scientific application of the Fibonacci sequence. Why?it's because we do not ask the right questions. And why don't we ask the right questions?it's because we think we already know the answer. Any naturally evolvin.. Lived c. 1170 - c. 1245. Fibonacci was the greatest Western mathematician of the Middle Ages. In the absence of his contributions, the scientific revolution started by Nicolaus Copernicus in 1543 would not have been possible. Fibonacci introduced the modern number system to the West, which ultimately allowed science and mathematics to flourish He invented many other applications of the series and also discovered another series which is closely related to Fibonacci series, known as the Lucas numbers (2, 1, 3, 4, 7, 11, 18, 29, 47) If you are interested in further reading, you can refer the following articles:-1. Biography and contributions of Fibonacci 2

The Fibonacci Spiral is created by drawing arcs connecting the opposite corners of squares in the Fibonacci tiling. Fibonacci was a mathematician in the 13th century. He first discovered the Fibonacci number sequence by estimating how fast rabbits could reproduce in an ideal environment The Fibonacci Sequence was discovered by the Middle Age mathematician Leonardo Fibonacci, who observed the continuous sequence and the way they could make perfection in nature. Fibonacci ratios are showing the relationship between the numbers and are defined as 23.6%, 38.2 %, 50%, 61.8%, and 100% They are derived from the Fibonacci sequence of numbers that was discovered by Leonardo of Pisa, a 13th century Italian mathematician. Fib retracements are internal retracements since they measure a price move that exists within a prior leg. The most common Fibonacci retracement levels include 23.6%, 38.2%, 50%, 61.8%, and 78.6% The Fibonacci retracement levels are derived from the various Fibonacci ratios, which are, in turn, derived from the Fibonacci sequence of numbers. Discovered by an Italian mathematician, Leonardo de Pisa (nicknamed Fibonacci), the Fibonacci number sequence is a numerical series in which each number in the series — with the exception 0 and 1.

2) Fibonacci 2.1 Introduction. Leonardo Fibonacci da Pisa is a thirteenth century mathematician who discovered the Fibonacci sequence. In 1242, he published a paper entitled Liber Abacci which introduced the decimal system. The basis of the work came from a two-year study of the pyramids at Giza Elliot Wave trading involves using this sequence Fibonacci discovered in a number of ways. The Fibonacci Sequence The Fibonacci sequence is a series of numbers that is formulated by adding the two previous numbers together ie. (1+2)=3, (3+2)=5, (5+3)=8.

The Beauty of Chaos: The Golden Ratio or Fibonacci numbers

The pattern is called the Fibonacci sequence: a series of numbers that generates the next number by the sum of the previous two. For example: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, etc. As these numbers emerge in nature, so does the ratio of 1.618—referred to as the Golden Ratio. Almost everything in nature has properties of the Golden Ratio, and. Through this method the first twelve number connections to 9 are discovered. The first number to equal indig 9 is 144 (1+4+4≡9), the 12 th number of the sequence. Also, the total of those first twelve Fibonacci numbers added together is indig 7, consequently the next set of twelve numbers adds to indig 2 Fibonacci used patterns in ancient Sanskrit poetry from India to make a sequence of numbers starting with zero (0) and one (1). Fibonacci added the last two numbers in the series together, and the sum became the next number in the sequence. The number sequence started to look like this: 1, 1, 2, 3, 5, 8, 13, 21, 34

Enquiry-Based Maths: Finding Fibonacci Numbers in Nature

The Fibonacci sequence and the Fibonacci spirals are contained within so much of life. When comparing a Fibonacci and Golden Mean spiral they are off the closer you get to the center, but by the time you get to steps 55 and 89 in the Fibonacci spiral the two spirals are practically identical Q. Fibonacci spirals are claimed to appear in the arrangements and patterns of fruits, vegetables, pine cones, seed heads and shells Interestingly, if you extend the Fibonacci sequence backward — that is, before the zero and into negative numbers — the ratio of those numbers will get you closer and closer to the negative. F25= 75,025 and F26= 121,393 where Fn is the nth term in the Fibonacci sequence. Find F27. I do not understand the Fibonacci sequence, could someone help me with my question and explain it to me please. math- HELP! The Fibonacci sequence was first discovered during a study of rabbits

fibonacci sequence; News tagged with fibonacci sequence. Date. 6 hours 12 have discovered that the number of theoretically possible fatty acids with the same chain length but different. Continuing our look at the Fibonacci sequence, we'll extend the idea to generalized Fibonacci sequences (with different starting numbers), and see that the ratio of consecutive terms is the same in general as in the usual special case.Then we'll look at the sum of terms of both the special and general sequence, turning it into a series. This turns out to be as simple as you could imag Thanks for A2A @Moses Karun . What I feel is that, the nature talks through the language of Mathematics. The fibonacci numbers have a great significance in nature. Like in many plants which show the Fibonacci numbers in the arrangement of the lea.. Who Discovered the Golden Ratio? The golden ratio was first recorded and defined in written form around 300 B.C. by the Greek mathematician Euclid in his major work Elements. It is believed that the ancient Greeks may have used the golden ratio to determine the proportions of the golden rectangle in their architecture, such as in the. Golden Ratio & Fibonacci Sequence. The Golden Ratio, also known as The Golden Mean, or The Golden Section, is a special mathematical formula, relating to the Fibonacci Sequence and the Fibonacci Spiral, found throughout nature and the Universe that suggests an intelligent creator of life The Fibonacci sequence is a sequence of numbers discovered by an Italian mathematician Leonardo Fibonacci in the thirteenth century. The sequence is: 1, 1, 2, 3, 5, 8, 13, etc., or stating it the other way: each term of the sequence is a sum of the previous two