Math And Nature Fibonacci Sequence - 1110 Words

Fibonacci Sequence My topic for the cool math paper is the Fibonacci Sequence. I choose to do the Fibonacci Sequence because it’s in math and nature. This interests me so much because I haven’t really seen many clear examples of math in nature especially like the Fibonacci Sequence appears.This is also a tangible way to learn about math. The Fibonacci Sequence is a sequence of numbers that is created by adding the previous two numbers together. You take 1 then add 0 to get the second number which is 1, then you’ll add 1 and 1 to get 2, after that you’ll add 1 and 2 to get 3, and so on. The sequence can continue this way forever. For example the first ten numbers in the sequence are 1, 1 ,2 ,3 ,5 ,8 ,13 ,21 ,34 ,55. The Fibonacci Sequence was named after Leonardo Pisano Bogollo (He lived between 1170-1250) whose nickname was Fibonacci. He did an investigation in 1202 about Rabbit breeding. If there are two rabbits that can mate at the age of one month old and the rabbits alwa ys produce a male female pair and they never die how many rabbits will there be in one year. This investigation ended with the Fibonacci sequence becoming clearer. There were one set of rabbits at the end of the first month (1,1). At the end of the second month there are three pairs (1,1,3). At the end of the fourth (1,1,3,5). If the rabbits never die and always produce a male female pair it will continue this way forever. Fibonacci’s example is helpful but not realistic because the bunny’s willShow MoreRelated Essay on Number Theory1704 Words   |  7 PagesThroughout math, there are many patterns of numbers that have special and distinct properties. There are even numbers, primes, odd numbers, multiples of four, eight, seven, ten, etc. One important and strange pattern of numbers is the set of Fibonacci numbers. This is the sequence of numbers that follow in this pattern: 1, 1, 2, 3, 5, 8, 13, 21, etc. The idea is that each number is the sum of its previous two numb ers (n=[n-1]+[n-2]) (Kreith). The Fibonacci numbers appear in various topics of math, suchRead MoreThe Role Of Mathematics And Grasp The Beauty Of It1007 Words   |  5 Pagesubiquitous. Discovered or invented, it has been around since the beginning of time. Mathematics can explain the indescribable wonder of our cosmos. It is through mathematics that we are able to explore our universe. This essay will demonstrate how maths is an integral part of our universe and will attempt to show that mathematics might be the key to discovering the great unknown. In order to understand the role of mathematics and grasp the beauty of it in our world, we must first explain what mathematicsRead MoreDoes Cognitive Bias Influence The Patterns We Exist?1529 Words   |  7 Pageseffect could be seen in experiments to help prove or disprove the claim. Mathematics as an area of knowledge is helpful because it uses logic and reason through values and shapes to present patterns and it is the most common form of patterns. Also in math we can look at imaginary and irrational numbers as well as geometry to determine if cognitive bias causes pareidolia in logical patterns. My claim for human sciences is that human sciences show that cognitive bias is used when humans claim to see aRead MoreEssay The Golden Ratio995 Words   |  4 Pagesfascination with them. Often, when examined carefully, you may find a common â€Å"coincidence† between man made objects and those found naturally in nature. This fluke, however, may be used to ascertain various mathematical relationships between these objects. This paper will introduce the golden ratio and weigh its significance on math, art, and nature. 1.6180339887†¦. has been given many names varying from the â€Å"golden ratio† first coined by the Greeks, to the â€Å"golden rectangle† and â€Å"golden section†Read MoreAnalysis Of The Book Fibonacci Rabbits 1552 Words   |  7 Pages Leonardo Fibonacci was an Italian mathematician who lived from 1170 to 1240. While Fibonacci was growing up, he was sent to study mathematics with an Arab master. Once he finished studying, he began to travel to other countries to study their mathematics and calculations (Encyclopedia Britannica). In 1202, Fibonacci published his book that was entitled Liber Abaci or Book of the Counting. In this book, he used Hindu-Arabic numbers. This is the number system that we are using today. Prior to hisRead MoreFractals: Stonehenge, the Pyramids of Giza, the Parthenon1575 Words   |  7 Pagesforces of nature, were being constructed by human hands. Although I wanted badly to find out more, I waited until that summer, when I discovered a YouTube account by the name of Vihart. Vihart’s videos are not tutorials on how to do math, however Vihart’s ramblings about the nature and the concepts of the mathematical world have a lot of educational value, especially on topics that are m ore complicated to understand then to compute. Her videos on fractal math and their comparability to nature, helpedRead MoreDebussys use of the Fibonacci sequence Essay1403 Words   |  6 Pagesï » ¿Ã¢â‚¬Å"I can count†: Mathematics in Music An Analysis of Debussy’s Nocturne Math has been associated with music for many years, particularly that of the Fibonacci sequence and the Golden Ratio. In Debussy’s Nocturne, composed in 1892, I look into the use of the Fibonacci sequence and the Golden Ratio. Previously it has been noted that composers used the Fibonacci sequence and the Golden Ratio in terms of form, however in my analysis I look into the use of it in terms of notation as well. I will exploreRead MoreThe Golden Mean in Anatomy965 Words   |  4 Pagesthinkers like no other component in mathematics. While studying the golden mean it becomes evident just how relevant this number is in the world. Many architects and artists have used this ratio as a scale and proportion sequence. The sequence is also relevant in music, nature and even the human body. Ancient mathematicians were so fascinated in the ratio because of its frequency in geometry. The first person to provide a written definition was Euclid. He stated â€Å"A straight line is said to haveRead MoreMathematics and Music: The Collision of Science and Art Essay1735 Words   |  7 Pagesagainst each other by many scholars. It is not uncommon now for a mathematician or physicist to dismiss the Arts as a waste of time; or for an artist or musician to proclaim the Sciences as useless to them. As both an avid blues guitarist and an IB math student, I aim to contrast this modern opinion. I will do so by exploring the relationship between the Arts and Sciences; specifically mathematics and music. On a personal level, I find this to be extremely important, as I hold a deep value for allRead MoreMathematical and Musical Harmony1308 Words   |  6 Pagesopposites as they are commonly considered to do, but that there are connections and similarities between them, which may explain why some musicians like mathematics and why mathematicians frequently love music. Music is mathematical because the Fibonacci numbers and the golden section exist in musical compositions. The questions of tone and tuning are one aspect in which mathematical thoughts enter the world of music. However, music—at least in a modern perception—does not only consist of notes and