Essay The Golden Ratio - 995 Words

The Golden Ratio Certain pictures, objects, and animals appeal to the human mind more than others. Proportions and images of symmetry often contribute to our fascination 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†, â€Å"phi† named after Phidias a renowned Greek sculptor, as well as the â€Å"divine†¦show more content†¦The definitive polymath, he had almost too many gifts, including superlative male beauty, a splendid singing voice, magnificent physique, mathematical excellence, scientific daring†¦ (Beckett, 117) He studied at various places including Milan and Florence and the Vatican. It is in these cities that he became famous. He masterfully uses the golden ratio in the Mona Lisa framing her head as well as the rest of her body parts in exact proportion to the golden rectangle. Furthermore, he goes on in such works as the Vitruvian Man and Virgin and Child with St. Anne to incorporate the golden rectangle into everything he possibly can. He was by no means enthralled in art. Instead, his great passions were mathematics and the natural world, and he compiled volumes of detailed drawings and notes on anatomy, botany, geology, meteorology, architectural design, and mechanics. (Stokstad, 693) Toward the end of his life math, particularly the golden ratio, began to dominate everything he created. Leonardo da Vinci died in 1519. Another painter that used, primarily, golden rectangles was Piet Mondrian. In, Composition with Gray and Light Brown virtually every rectangle has the â€Å"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. (FibonacciShow MoreRelatedGolden Ratio Essay765 Words   |  4 Pages(Peter,1971) From the Egyptians and Greek we have the Golden Ratio that was and is used for construction of buildings and in artwork. This essay will discuss the relation and use of science in art of the Renaissance, Baroque, and Rococo periods. The Golden Ratio Defined: The Golden Ratio. Throughout history, the ratio for length to width of rectangles of 1.618 has been considered the most pleasing to the eye. This ratio was named the golden ratio by the Greeks. In the world of mathematics, the numericRead MoreTaking a Look at the Golden Ratio782 Words   |  3 PagesGolden Ratio is found by dividing a line into two parts so that the longer part divided by the smaller part equals the whole length divided by the longer part. Golden ratio is very similar to pi because it is an infinite number and it goes on forever. It is usually rounded to around 1.618. The formula for golden ratio is a/b = (a+b)/b. It has been around for a long time so it is not known who made up the golden ratio. Since the golden ratio is used all around the world it is known in many names suchRead More Use of the Golden Ratio in Our World Essay595 Words   |  3 Pagesnumber from the sum of the previous two. This sequence of numbers is called the Fibonacc i Sequence. The Fibonacci numbers are interesting in that they occur throughout both nature and art. Especially of interest is what occurs when we look at the ratios of successive numbers. The Fibonacci numbers play a significant role in nature and in art and architecture. When you construct a set of rectangles using the sequence (1, 1, 2, 3, 5, 8, 13, 21,), a design found in nature is revealed: Next, whenRead MoreBeauty: Golden Ratio on Human Face Essay731 Words   |  3 PagesThe golden ratio can be seen in anywhere. It is also captured in many books and articles. It is also aesthetically shown in literature, art and ancient architectural buildings. The golden ratio can be seen in the way trees grow, in the ratios of both human and animal bodies. The ratio is approximately 1.618. The golden ratio is only can be seen by the one of the most complex organ in our body and it can be directly seen. The golden ratio has been discovered and used since ancient times. Our eye analyzesRead MoreArt and Math: Golden Ratio and the De Divina Proportione659 Words   |  3 Pagestools such as the Golden Ratio and the De Divina Proportione have helped shape the art we know today. Famous artists and mathematicians such as Piero De Francesca, Polykleitos, and M. C. Escher are the founders of the amazing works of art we are familiar with. Even modern day mathematics has given art a new fo rm, with Fractal Art. Without math, some of the art we have today would not exist. In the ancient times, the Golden Ratio was the most used mathematical tool. The Golden Ratio is a term usedRead MoreDebussys use of the Fibonacci sequence Essay1403 Words   |  6 PagesMusic 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 explore how the idea of Sonata form isRead MoreMathematics and Music: The Collision of Science and Art Essay1735 Words   |  7 Pagesare: how musical scales can be made using Fibonacci ratios, the Golden Ratio’s relationship with music, equal temperament, where else the Fibonacci numbers occur in music, the exponential nature of octaves, and how exposure to music helps ones understanding of math, and vice versa. Exploration An interesting connection that music has with mathematics is the presence of Fibonacci ratios in musical frequencies. To understand what exactly these ratios are we must first understand; what is the set ofRead MoreMathematics: The Fibonacci Sequence1323 Words   |  5 Pagesmust find the second term and so on. Golden Ratio In mathematics, two quantities are in the golden ratio if their ratio is the same as the ratio of their sum to the larger of the two quantities. The Golden Ratio can be used not only for Fibonacci Numbers, but also for all the other everyday numbers. When you take any two successive Fibonacci Numbers, their ratio is very close to the Golden Ratio, which is approximately 1.618034†¦ The Golden Ratio works for numbers other than the one’s inRead MoreMathematical and Musical Harmony1308 Words   |  6 Pagescommonly 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 harmony. More importantRead MoreThe Golden Mean in Anatomy965 Words   |  4 PagesThe Golden Mean in Anatomy The Golden Mean is a mysterious number that has been found in plants, humans, art and even architecture. It was first discovered and studied by ancient mathematicians in Egypt a very long time ago. In the study of mathematics one realizes that many patterns often occur. None have been more relevant or fascinating that the golden ratio. The golden ratio has many names and is often referred to as the golden section, golden mean, golden proportion and golden cut. The golden

World Religious Traditions By John Martin Luther King Jr.

Sydney Smith October 15, 2015 World Religious Traditions Professor Wilson Essay #2 According to the late Dr. Martin Luther King Jr., there is a distinct difference between â€Å"just† and â€Å"unjust laws†. King writes, â€Å"A just law is a man made code that squares with the moral law or the law of God. An unjust law is a code that is out of harmony with the moral law† (Michaelvdg 2010). This concept dates back to a philosophy developed by the Romans. The Roman’s code was between these two concepts, â€Å"Ius Gentium† and â€Å"Ius Naturalis†. Ius Gentium means a law that is universally practiced, where Ius Naturalis means natural law (Michaelvdg 2010). One way to explain the difference between the two is by using slavery as an example. Slavery was†¦show more content†¦Would that not come naturally to us? But what is too far when it comes to just and unjust? If we see someone being hurt on the street, do we give ourselves the flexibility to go attack the attacker and save the victim? Where is the line drawn? An important concept from Dr. King’s letter is civil disobedience. Civil disobedience is when someone intentionally refuses to abide by specific laws, demands, and commands of someone in charge. Civil disobedience is when one decides to prioritize their conscience rather than to listen to rules. I consider just and unjust laws a valid argument for civil disobedience to a certain point. I find it hard to argue because I believe that some people may take advantage of this concept. I believe that under certain conditions, it is okay, to break the law, as long as it is for the better of the people, earth, or another important factor in quality of life relating to a person, animal or planet life. Personally, I believe that if someone has a strong grasp on human emotions, and comprehends that other humans have the same emotions, such as, we feel the same feelings (physical or psychological), then breaking the law in the name of â€Å"moral law†, could be an action tha t they could take. For example, if someone is robbing an innocent mother as she loads her children into their car, I see nothing wrong with that mother grabbing a

Foreign Language Free Essays

In this world, there are many type of language exist. Some of them exist since the ancient history such as Mandarin and Arabic. However, plenty of them was formed by the evolvement of other language. We will write a custom essay sample on Foreign Language or any similar topic only for you Order Now For example, Korean and Japanese languages exist from the evolvement of Mandarin Language. Other than that, Malay language exist from the evolvement of Arabic language and all them still been used until now on. Moreover, today life needs us to learn the foreign language for the communication among our community in daily life. So, we need to learn the foreign language step by step until we get used to it. The most vital things that a language will never exist without it is vocabulary. First of all, we need to fulfill our brain with a bunch of vocabularies in order to communicate with other races. The ways that we can do are by reading the foreigner language’s books. We can start by reading the easiest and fun book such as comics and then we try to get the feel of the language. Therefore, with the basic vocabulary, we can talk to them without any doubt.After that, we should up to the next step which is mastering the language grammar. As all of us know, a language without any grammar form is not a true language. The reason is, the unique of a language is depends on the grammar. So what would we do is, find any tutor class which can help us with our grammar. Actually, we don’t have to take a long period to mastering it. Just a few months needed to learn the basic grammar. But as a precaution, please be prepared ourselves with patience because many people cannot stand still whilst learning a grammar.However, once you had grabbed the knowledge about the grammar, it will never let you down because you will have no more problem to use it. The final step is not so vital as the vocabulary and grammar, but it is needed to build our confident in ourselves. Since we learn a foreign language, it is necessary for us to use it thoroughly or it will be a waste. So, what we will do is practicing it. ‘’practice make perfect’’ in all things including the communication skills.There are many ways we can keep practicing it such as talk with our teacher or friends or we can chatting with the language user in many social network. For example, facebook, twitter, yahoo messenger, friendster and etc. so, there is no reason for us to feel shame to use the foreign language. As a conclusion, the three steps should be taken in order for us to learn the foreign language. What the important things is be confident with ourselves and never feel ashamed to use it. The moment that you had felt confident with your grammar and vocabulary, you will fall in love to the language deeply in your heart. How to cite Foreign Language, Papers