The Art of Chaos Abstract: In this article I will try to explain the nature of fractals. Both natural and computer-generated fractals will be explained. In the end, I hope the reader has a rudimentary sense of fractals both in terms of art and geometry. Most people live in a state of semi-chaos. Isn't your messy desk an example of the chaos in the world? The words chaos and pattern seem to be a dichotomy, but fractals are both of those things. Basic definitions of fractals include the words self-similar, chaotic, and infinitely complex. Before continuing, let me define the above terms so that the reader will understand their meaning as I use them. Self-similarity is the idea of ​​an object in which there is an apparent pattern that is somehow visual or non-visual. Sometimes self-similarity is found with the naked eye, other times a pattern appears under a microscope, or even when a significant change occurs. The main presumption of self-similarity is a kind of pattern. Chaos has been defined in many ways through literature, philosophy or even everyday life. As I stated before, chaos is often used to describe disorder. The way I would like to use it is in terms of some unpredictability. Even random events or iterations thereof 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 suggests, fractals are things that go on forever. Why this happens will also be discussed later. 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, bronchi, snowflakes, blood vessels, and clouds. Only one example in the world satisfies the three characteristics of a fractal, a coast. Coasts are unique, because the length of a coast is infinite, but the area within the coast is finite. The theory of the interaction between infinity and finality is described by a fractal called the Koch curve. Like ribs, the length of the shape is infinite, but the area within it is finite. The shape of the Koch curve is a triangle in which a triangle one-third the size of the original triangle is positioned at the center of each side of the triangle.