Fractals: Stonehenge, the Pyramids of Giza, the Parthenon

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My infatuation in fractals began freshmen year at Greeley after taking a Seminar with one of the seniors. I’m not sure exactly when simple interest turned to a kind of obsession, but during that lesson something seemed to click. It seemed as if this was the universe’s answer to everything; the mystery was solved, however complex the answer was to understand. I’m still not sure if I was misunderstanding the lesson, or if I had somehow seen it for what it really was; a pattern to describe the way the universe works. Nevertheless, that day followed me, and I tried to understand more about fractals through the resources I already had at my disposal-- through courses I was taking. Sophomore year, through my European History and…show more content…
If you look at yourself, the ratios for phi can be found anywhere. The ratio of your forearm to your hand, and each of the segments of your finger to the next ideally would equal phi (Human Hand & Foot). The idea that even your own body abides by this law is strange to imagine, which is what led me to want to understand these concepts. I began by exploring the different places fractals could appear and was quickly drawn to the theories of the universe. I soon found that the entire universe being a fractal was very unlikely because it conflicted with Einstein’s Theory of Relativity, so I turned away from that area of research. I next turned to the applications of fractals only to realize that I was missing the mathematical concepts. My goal was to find which is the cause and which is the effect- does nature follow these numbers and concepts that we make up, or did we make up all of these things to better understand how nature behaves. In math, fractals are a geometric figures but they come from the world of sequences. They are the result of a graphical representation of the iterations of polynomial equations. The most famous graph, the Mandelbrot Set, is the graphical solution of z=z2+c where c is a constant and z is the resulting number from the previous iteration. To make this more clear, lets substitute the variables for numbers. If my c value is three and my z value starts at one, the first iteration would tell me that z1=4, the next time you iterate your

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