The Art of Chaos
Abstract: In this paper, I will attempt to explain the nature of Fractals. Both natural and computer generated fractals will be explained. At the end, I hope the reader has a rudimentary sense of fractals in terms of both art and geometry.
Most people live in a state of semi-chaos. Isn't your cluttered desk an example of the chaos in the world? The words chaos and pattern seem to be a dichotomy, but fractals are both of these things. Basic definitions of fractals include the words self-similar, chaotic, and infinitely complex. Before I go on, let me first define the previous terms in order that the reader will understand their meanings as I will use them.
Self-similarity is the idea of an object where there is an apparent pattern in some visual or non-visual way. Sometimes, self-similarity is found with the naked eye, and other times a pattern appears under a microscope, or even when a significant change occurs. The major presumption of self-similarity is some type of pattern.
Chaos has been defined many ways through literature, philosophy, or even daily life. As I stated before, chaos is often used to describe disorder. The way I would like to use it is in terms of a certain unpredictability. Random events or iterations of the same even should cause a chaotic effect. Later, I will show how this is not the case. The last term we need to define is infinitely complex. As the term itself implies, fractals are things that go on forever. Why this is will be discussed later, as well.
In an ideal world, all types of fractals are self-similar, chaotic, and infinitely complex, but in the real world most natural objects are self-similar and chaotic, but not infinitely complex. Some examples of things that are self-similar and chaotic, but not infinitely complex are fern leaves, bronchial tubes, snowflakes, blood vessels, and clouds. Only one example in the world satisfies the three characteristics of a fractal, a coastline.
Coastlines are unique, because the length of a coastline is infinite, but the area within the coastline in finite. The theory of the interaction between infinity and finality is described by a fractal called the Koch Curve. Like coastlines, the length of the shape is infinite, but the area inside of it is finite. The shape of the Koch Curve is a triangle where a triangle one third of the size of the original triangle is placed on the middle of each side of the triangle.
When the Green Knight arrives at Camelot, he challenges Arthur’s court, mocking the knights for being afraid of mere words, and suggesting that words and appearances hold too much power with them. Although the Green Knight basically tricks Gawain, by not telling him about his supernatural capabilities before asking him to agree to his terms, Gawain refuses to withdraw of their agreement. He stands by his commitments, even though it means putting his own life in jeopardy. The poem habitually restates Sir Gawain’s deep fears and apprehensions, but Gawain desires to maintain his own individual integrity at all costs which allows him to master his fears in his quest to seek the Green Chapel. After Gawain arrives at Bertilak’s castle, it is quite obvious that h...
Fischl creates a scene of chaos in this picture through the way he uses his paintbrush in the painting of the dress. The brushstrokes show in an untidy way, which creates a feeling that this woman’s life may be in chaos. At least, it has not gone the way she intended it to. Fischl expresses this through the sense that his brushstrokes do not seem to have gone in the way he intended them to. At the lower left part of the dress, it appears as though he could not be bothered to straighten the lines out or fix the colors. This seems to suggest that the woman, tired and disillusioned wit life, can no longer straighten it out, either. Her posture seems to follow Fischl’s painting technique and suggests hopelessness, as though she has tried everyone and nothing has made her happy.
Indirectly through out his novel, Camus compares people who rely too much on their logic and rationality, versus those who accept that our world is confusing and unpredictable. Similar to his thinking, in “Crickets, Bats, Cats and Chaos” Lewis Thomas suggests that chaos stimulates the brain and actually suggests that even crickets or cats have thoughts during chaotic or unpredictable situations. Even though I have always seen chaos as a total lack of order, a desperate situation in which an individual loses control, Thomas gave me a new concept for chaos. He says that it emerges when a system is altered by a small change or small uncertainty in its interior; chaos is then the
Sir Gawain and the Green Knight is a tale spun from the Legends of King Arthur and his knights of the round table. Typically intended to inspire lessons of chivalry and humility, Sir Gawain’s story follows the road paved by previous Camelot accounts. In thoroughly providing an analysis of this story one must first determine the plot, followed by the metaphorical use of illustration and imagery, which the storyteller employed in order to reveal the nature of Gawain and his mysterious foe.
Fast food restaurants in America can be located on almost every street corner in almost every city. The enticing aroma of a burger and fries can be found at several locations in nearly every city, town, or suburb. According to Alaina Mcconnel, the 5 most popular fast food restaurants of 2011 are McDonalds, Subway, Starbucks, Wendy’s and Burger King (Mcconnell, A., & Bhasin, K., 2012). Fast food joints have a ruthless history of being fattening, greasy, and unhealthy with films like Super-Size me and Food Inc. giving the...
Jokinen, Anniina. "Luminarium: Anthology of English Literature." Luminarium: Anthology of English Literature. N.p., 1996. Web. 9 Nov. 2013. http://www.luminarium.org/
The Interesting Narrative of the Life of Olaudah Equiano is a narrative that evokes both emotions and historical facts in an effort to persuade its readers of the cruel and harsh reality of slavery and life after. Equiano does this by describing his life from his birth in Africa, to his enslavement in America, to his freedom in England. For several years his work was considered an excellent example of a primary source, however recently several inconsistencies regarding his timeline of events and origins bring into question his reliability as an author. This causes his narrative to lose power.
Olaudah Equiano's, The Interesting Narrative of the Life of Olaudah Equiano, was such a compelling memoir. From his experience of seeing people of different “complexions”, to being beaten, and then almost suffocating from being forced to live in filth and confinement (Perkins 166). The cruelty Equiano experienced was being hungry but having to watch the whites eat fish and fill themselves full but rather giving the extra fish to the slaves, they would throw the fish back into the ocean (Perkins 166). Equiano's experience is a deeply involved slave narrative that captivates the reader, becoming a writing that is easy to read and helps the reader feel as if he/she is seeing it for themselves.
"The Life of Olaudah Equiano” is a captivating story in which Equiano, the author, reflects on his life from becoming a slave to a freeman during the 19th century. Through his experiences and writing, Equiano paints a vivid picture of the atrocities and cruelties of European slavery. Ultimately through his narrative, Equiano intends to persuade his audience, the British government, to abolish the Atlantic slave trade as well as alert them of the harsh treatment of slaves. He successfully accomplishes his goal by subtly making arguments through the use of character, action, and setting.
Randomization, in the form of mutations, provides genetic variation. Evolution itself is not entirely a random process, but the mutations that have appeared throughout history are. Because of this, one would argue that with the summation of many mutations over time, evolution would inevitably create more randomization within the system resulting in an increase in disorder. In an isolated system, the overall entropy would undoubtedly increase following a series of mutations. Because of natural selection (the idea that an organism that is better suited to its environment will survive and produce more offspring than those organisms who are not), it can be said that chance mutations are not the only driving force behind evolution, thus evolution is not entirely a spontaneous process (Williams,
Equiano characterizes white people in this way through his exceptionalism and the knowledge he obtains, which allows him to recognize the true, hypocritical nature of the white person. Since Equiano is able to reach this noteworthy distinction, he shows that other African people could also reach his potential if allowed, displaying to the audience a new perception of African people. By overturning the common perception of white people at the time, Equiano forces the reader to question the conventions of enslavement so that the public understands the need to abolish captivity and other
Looking at the world where we live everything in someway is connected. Our world is not simple and in fact consists of multiple complex systems. Some everyday examples of complex systems are the brain, immune system, insect colonies, and even social networks such as Facebook and twitter. So what exactly do all these have in common in order to be a complex system? First is the fact that each one has a large amount of simple components that work together by communication through signals without being under leadership. But not all systems are exactly the same so we can break it down further into chaotic systems, complex adaptive systems, and nonlinear systems. Chaotic systems differ in that they are non-linear and are sensitive to initial conditions. Therefore any uncertainty in the system will not produce an outcome that can be predicted later on. A good example of a chaotic system would be the stock market because the prediction of its outcome is unknown due to its sensitivity to initial conditions. Complex adaptive systems are just like they sound. They are capable of adapting to the environment such as the immune system. It’s white blood cells work together to recognize foreign bodies and create antibodies for future encounters.
The quest for power is one which has been etched into the minds of men throughout history. However, it can be said that true power is not a result of one’s actions but comes from the following one’s own beliefs without being influenced by others. This principle sets up the story for Shooting an Elephant by George Orwell. The protagonist, Orwell himself, is a sub divisional police officer in Burma, a British colony. Orwell must try to find and use his inner power when he is faced with the decision of whether or not to kill an elephant which has ravaged the Burman’s homes. The state of power established through the imperialistic backdrop show that Orwell, as a colonist, should be in control. As well, the perspective and ideas given by Orwell show his true character and lessen the overall power set up for him. Lastly, the symbols shown are representations of traditional forms of power, but take on different implications in the story. In Shooting an Elephant, George Orwell uses setting, characterization and symbols to show that true power comes from following the dictates of one’s conscience.
Throughout "Shooting an Elephant" by George Orwell, he addresses his internal battle with the issues of morality and immorality. He writes of several situations that show his immoral doings. When George Orwell signed up for a five-year position as a British officer in Burma he was unaware of the moral struggle that he was going to face. Likewise, he has an internal clash between his moral conscious and his immoral actions. Therefore, Orwell becomes a puppet to the will of the Burmese by abandoning his thoughts of moral righteousness. This conflicts with the moral issue of relying upon other's morals, rather than one's own conscience.
A typical fast food meal is very high in calories and fat , and it doesn 't offer that much of the nutritional value. In addition, fast food contains a lot of artificial colors , preservatives and chemicals . In most cases, fast food can lead to many diseases such as obesity, which is a major risk factor for so many health problems. For example, heart disease, diabetes and high cholesterol. So, Fast food does really have a direct impact on the overall health. In the same way, many people think it is cheaper to buy a fast ready meal which it is not true. There are so many additional cost of fast food related to health such as obesity and heart disease. So,basically, you pay more for fast foods. In addition, you can go to any fast food restaurant and get a meal for five to ten dollars a person. However, you can feed multiple people for the same price by cooking at home. Also, there would be some leftover ingredients for future usage. It is good to know that fast food is addictive, which means you spend more money buying fast food. That being said, fast food is not really cheaper as people assume. It is actually more expensive as it leads to many additional cost