Monday, February 11, 2019
Essay on the Art of Chaos :: Exploratory Essays Research Papers
The Art of Chaos Abstract In this paper, I will set about 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 moxie of fractals in bounds of both art and geometry. Most people make up in a state of semi-chaos. Isnt 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 interminably involved. Before I go on, let me first define the previous(prenominal) 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 unmingled pattern in few visual or non-visual way. Sometimes, self-similarity is found with the nude eye, and other times a pattern appears under a microscope, or fifty-fifty when a significant change occurs. The major presum ption 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 a lot 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 non 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 duration of a coastline is infinite, but the area within the coastline in finite. The theory of the interaction amongst 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 sea captain triangle is placed on the middle of each side of the triangle.