# Fibonacci Numbers Essay

606 words - 2 pages

Its a good essay, for a Math project. Well don, although you could have had more specific examples.The Fibonacci numbers were first discovered by a man named LeonardoPisano. He was known by his nickname, Fibonacci. The Fibonacci sequence is asequence in which each term is the sum of the 2 numbers preceding it. The first 10Fibonacci numbers are: (1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89). These numbers areobviously recursive.Fibonacci was born around 1170 in Italy, and he died around 1240 in Italy.He played an important role in reviving ancient mathematics and made significantcontributions of his own. Even though he was born in Italy he was educated inNorth Africa where his father held a diplomatic post. He did a lot of traveling withhis father. He published a book called Liber abaci, in 1202, after his return to Italy.This book was the first time the Fibonacci numbers had been discussed. It wasbased on bits of Arithmetic and Algebra that Fibonacci had accumulated during histravels with his father. Liber abaci introduced the Hindu-Arabic place-valueddecimal system and the use of Arabic numerals into Europe. This book, though,was somewhat contraversial because it contradicted and even proved some of theforemost Roman and Grecian Mathematicians of the time to be false. He publishedmany famous mathematical books. Some of them were Practica geometriae in1220 and Liber quadratorum in 1225.The Fibonacci sequence is also used in the Pascal trianle.The sum of each diagnal row is afibonacci number. They are also in the right sequence: 1,1,2,5,8.........Fibonacci sequence has been a big factor in many patterns of things in nature.One has found that the fractions u/v representing the screw-like arrangement ofleaves quite often are members of the fibonacci sequence. On many plants, thenumber of petals is a...

## Find Another Essay On Fibonacci Numbers

### Leonardo Fibonacci Essay

3045 words - 12 pages Leonardo Fibonacci Leonardo Fibonacci was one of the great mathematicians of his time. His lifestyle allowed him to travel and study math in various countries, and he ended up combining his cultural knowledge to discover the most effective ways of doing mathematics. He is most famous for his contributions to the European number system and for his sequence of numbers known as the Fibonacci numbers. Starting with 0 and 1 as

### History of Math - Leonardo 'Bigollo' Pisano

1167 words - 5 pages place surrounded on all sides by awall. How many pairs of rabbits can be produced from that pair in a year if it issupposed that every month each pair begets a new pair, which from the secondmonth on becomes productive? This was the problem that led Fibonacci to theintroduction of the Fibonacci Numbers and the Fibonacci Sequence. What isso special about the sequence? Let's take a look at it. The sequence is listed asSn=f1, 1, 2, 3, 5, 8, 13, 21

### Fibonacci (famous mathematician) - Survey of Mathematics with Application - Essay

1004 words - 5 pages honored for his mathematical revelations including his most glorified discovery, a sequence of numbers later named the Fibonacci sequence. Despite how simple his findings might be in comparison to modern day mathematical advancements, in his day and age they were incredible leaps in math that progressed our society. Fibonacci was born in 1175 in Pisa, Italy. He was fortunate enough to be the son of a wealthy Italian merchant named Guglielmo

### The Different Names of Fibonacci

2634 words - 11 pages month each pair begets a new pair which from the second month on becomes productive?” This problem led to the introduction of the Fibonacci numbers and the Fibonacci sequence, which will be discussed in further detail in section II. Today almost 800 years later there is a journal called the “Fibonacci Quarterly” which is devoted to studying mathematics related to the Fibonacci sequence. In the fourth section of Liber abbaci

### Golden Ratio

1611 words - 7 pages referred to as phi. Golden ratio was used in arts from the beginning of people and still is used today. It has been used in architecture, math, sculptures and nature. Many famous artists used the golden ratio. Golden ratio can also be used on a rectangle which is known as the golden rectangle. Euclid talks about it in his book Elements. Golden ratio also has a relationship with both the Fibonacci numbers and Lucas numbers. The Golden ratio is

### The Golden Ratio

1026 words - 4 pages “pleasing” dimensions. Still, more possibilities abound. It has been proven that famous composers such as Bach, Beethoven and Bartok have used the golden ratio between intervals of their masterpieces. (Fibonacci & The Golden Ratio, Internet) The greatest mathematical concept associated with the golden ratio has, no doubt, been in connection with the Fibonacci sequence. The Fibonacci sequence is a list of numbers revealed by adding together the

### Fractals: Stonehenge, the Pyramids of Giza, the Parthenon

2299 words - 9 pages Fibonacci sequence: 1,1,2,3,5,8,13,21,34-- it is self-similar because is iterated by adding the number that comes before it. The Fibonacci sequence also forms the basis for other famous fractals as well; for example the golden rectangle and the golden spiral:(Hom) Each of the numbers in the middle of the squares represents the perimeter of that square when the side lengths of the two numbers before it are added together. The two smallest squares start

### Linear Feedback Shift Registers

2764 words - 11 pages uniformity than the corresponding set for the linear components individually. In order to understand that using the proposed PRBG is reliable in secure algorithms, the NIST suite test have been taken on the proposed method, finally to compare the proposed PRNG output sequence features with the two types of LFSRs (Fibonacci and Galois). Keywords: Linear Feedback Shift Register, Random Number, Chaotic Map, NIST. 1. Introduction In the

### Light Through the Lens

1310 words - 6 pages the galaxy itself. It occurs in more natural subjects than you could imagine, some places you can find it are some simple thing, like an ear, or a snail. The Golden Mean is defined by a mathematical sequence of numbers known as the Fibonacci sequence. This is why the spiral is sometimes called the Fibonacci Spiral. By definition, the first two Fibonacci numbers are 0 and 1, and each remaining number is the sum of the previous two. So the

### Assignment regarding the fibonacci sequence and the golden ratio - maths assignemnt

4102 words - 16 pages Question 1(a) The Fibonacci sequence can be achieved from Pascal's triangle by adding up the diagonal rows. Refer to Figure 1.1Figure 1.1This is possible as like the Fibonacci sequence, Pascal's triangle adds the two previous (numbers above) to get the next number, the formula if Fn = Fn-1 + Fn-2. Pascal's Triangle is achieved by adding the two numbers above it, so uses the same basic principle. This is why there is a relationship. The

### The Golden Rectangle and Ratio

1881 words - 8 pages Johannes Kepler proved that the golden ratio is the limit of the ratio of consecutive Fibonacci numbers. Then in between 1842 and 1891 Edouard Lucas named the numerical sequence the Fibonacci sequence. In 1974 Roger Penrose discovered Penrose tiling which is a pattern that is related to the golden ratio both in the ratio of areas of its two rhombic tiles and in their relative frequency within the pattern. The golden ratio from a linear aspect is

## Similar Essays

### Fibonacci Numbers Essay

2277 words - 10 pages Fibonacci numbers are numbers in the Fibonacci sequence. In this paper, you will find out what Fibonacci numbers are related to. You will also find out how Fibonacci numbers are everywhere in the world. Though Fibonacci numbers are found in mathematical subjects, they are also found in other concepts. According to the Merriam-Webster Dictionary “Fibonacci Numbers are integers in the infinite sequence 1, 1, 2, 3, 5, 8, 13 … of which the first two

### Fibonacci Numbers By Leonardo Pisano Essay

1014 words - 5 pages Fibonacci numbers are not ordinary numbers This number system was developed by Leonardo Pisano and pertains to many facets of our world today. Although this system may have many applications, it is unfortunate that not everyone knows about it. If people would just stop and apply this system to their everyday lives it would enable them to see the world differently. It all started back in the year twelve hundred and two, when a mathematician

### Math History: The Life And Numbers Of Fibonacci

640 words - 3 pages Golden Ratio and Fibonacci Numbers by Richard A. Dunlap on page 35, the rabbit breeding problem is as follows:A pair of adult rabbits produces a pair of baby rabbits once each month. Each pair of baby rabbits requires one month to grow to be adults and subsequently produces one pair of baby rabbits each month thereafter. Determine the number of pairs of adult and baby rabbits after some number of months. It is also assumed that rabbits are

### Fibonacci Paper

1246 words - 5 pages first mentioning the series. It is thought that he first mentioned it between 500 B.C. and 100 or 200 A.D., at least 975 years before Pisano was even born. The famous sequence bears Pisano’s name is because of a French man named Edouard Lucas (1842 - 1891), who gave the Fibonacci sequence its nomenclature. Lucas found many more important applications of the sequence and has a set of numbers closely related to the Fibonacci sequence named after him