Fractals: Stonehenge, the Pyramids of Giza, the Parthenon

Carl Jung thought that the form of a spiral represented the idea of “eternal return” in the pattern of human thought and insisted that the archetypal symbol represented the cosmic force (Bobroff, p. 27). Various ancient cultures viewed the spiral as a symbol for journey, growth, and evolution. From timeless edifices to contemporary architecture, one can observe the spiral form in building structures; such as staircases, domes, and spires. One doesn’t have to look very hard to see spirals in their everyday lives, take the golden ratio for example. The golden ratio can be expressed in the naturally occurring patterns in various plants and will also reflect the Fibonacci number sequence in the same manner. A pine cone is a perfect illustration of this, as are many succulents. Who knew that a simple image could represent so much, to so many, so differently.

As a child, I always romanticized with the idea of being able to create or find something new. This ambition quickly lent itself to science since the possibilities of new discoveries. At this time, mathematics was never an important element in my life and was just something that made sense, however, my view on math changed. Over time, I came to appreciate all that math has to offer. I first realized that I loved math was in geometry class due to my introduction to proofs. For me, these proofs became ways to create and discover new information. Furthermore, I quickly developed an affinity toward them and wished to do even more. From this point my passion for math was sparked.

The exhibit consisted of 40 vitreograph prints from Littleton studios, of the 40, I would definitely have to say that "Giza" was the most interesting. The print was a promised gift of Carol Littleton Shay to the University. Harvey Littleton was the founder of the studio glass movement. Glass art is what Littleton was known for, his pieces consisted from ceramics to blown glass all the way to printing with glass, such as his work on "Giza". Littleton promoted the idea of glass as a course of study. His studio invited many artists to explore and work on glass art, which really created the trend and allowed the work of glass in the art world to become

Leonardo da Vinci, a famous polymath, asked many questions and searched for answers to things he did not understand. For example, da Vinci wondered why thunder lasts longer than lightning. Today, it is known that thunder lasts longer than lightning because the sound is reflected off various objects in order to create "echoes". In addition, da Vinci pondered why circles of water form around a spot struck by stone. Water ripples, the circles of water da Vinci saw, are first created by the object pushing a wave of water in all directions. Then, when the rock begins to sink, an empty space is left on the surface. Water collapses inward to fill the space which completes the ripple.

The British Government have an obligation to give back the Parthenon Sculptures in the British Museum back to the Greek government. This is due to the importance the Statues have in Greek Culture, the importance of having the Acropolis once again united, and the high level of evidence supporting the claim that the British stole the statues. This essay will aim to explain each of these points, a well as the British Rebuttals. Not only this, but a recount will be made on the attempt made by myself and a classmate as we attempted to replicate this debate and negotiate for a peaceful outcome.

The video, Fractals: The Colors of Infinity and Mandelbrot’s Discovery is a very informative video explaining what exactly fractal geometry is and what a Mandelbrot set is. First, the Mandelbrot set is a very simple equation that repeats or feeds itself integers from . The equation is , with this equation you can zoom in or out as much as you like and there will be infinite patterns. This equation does not make normal shapes that we are used to seeing in everyday life, instead it plots points repeatedly creating a very intricate design. Benoit Mandelbrot created fractal geometry to be able to describe what a cloud looks like using a mathematical equation. A fractal is a geometrical structure that has detail on all levels of magnification.

Many of math includes three dimensional shapes and changes in shapes, which are all difficult for a teacher to present to their students. (Curri, 2012) says, “There is no understanding of mathematics without visualization.” One study used a Microsoft program to teach calculus, the study of change, that showed improvement in the student’s confidence in math and a better understanding in math. (Oktaviyanthi, 2015) With more visualization of math in the classroom it can help deepen the understanding of complex math problems, especially ones that requires lot of shapes like

For my mathematical exploration I will be comparing a piece of Renaissance art with a modern logo and showing the mathematical principles each artist utilized to create a harmonious and balanced composition. This exploration entails a discussion of geometric forms, the Fibonacci Spiral, and the Golden Ratio.

Bhavani, S., Thanushkodi, K.: A novel fractal image coding for quasi-lossless medical image compression. In: European Journal

The Egyptians invented simple machines, such as a log-sleds and upright ramp to help haul big limestones for the

Work life was hard for most egyptians. Peasant life was not enjoyable. Most people made a living off of agricultural stuff. Grain and particularly wheat were the main successful crops. Even though the egyptians were the first people to introduce the ox-drawn plow, planting, plowing, and harvesting were still very difficult. Taxes were imposed on crops which made it hard for poor families to become anything more than poor. They couldn’t really raise up in society with those taxes.The views of slaves are very different. Many scholars believed that the slaves were treated more like servants than slaves. Some slaves weren’t as lucky and had to work humiliating and degrading jobs. There is a lot of controversy about the Great Pyramids being built

Mandala is one of my experiences of patterns and sequences that I have enjoyed learning about in these several days. The more I learn and understand how everything is created by the fundamentals of art the more I become appreciative our Creative God.

Throughout many movies they show that the Great Pyramids were built by slaves but that was not the case at all in fact they were assembled by waged laborers. As a man it was considered part of your duty and was expected from you to work on the pyramids in your lifetime. Some of the jobs included masons, surveyors, and of course laborers. The quarries was where the stone for many things including the pyramid was created. They were located across the Nile in Tura, Maasara and Aswan where quality stone was produced for the construction of the pyramids. Once created these stones were marked with red ink for placement purposes and floated across the Nile during flood season. The stones were pulled across the desert floor for placement. The location

In this book, Stephen Wolfram develops A New Kind of Science that allows progress to be made in cases where traditional science cannot analyze complex behaviors. In his proposal for this new kind of science one of the things he addresses is the notion of computation, where computation is the evolution of a system. In this book, Wolfram has mentioned and referred to systems such as cellular automata as a "simple computer program", but his overall goal is to show these systems in terms of the computations that can perform complex shapes with a simple set of rules. In other words, these systems can be viewed as performing a computation that determines what its future behavior will be. The interesting thing is that cellular automata has terms of traditional mathematical notions to describe certain computations. Stephen reintroduces these mathematical notions by replacing them with squares (cells) that are either black or white, and when grouped, these cells create a block. Once multiple blocks are created, they are described as rules that enhances a command. For example, the rule 94 highlights even numbers. Rule 62 corresponds to multiples of 3, rule 190 to multiples of 4 and rule 129 highlights powers of 2.

A large portion of the Italian Renaissance was an obsession with finding order in everything in the universe. Its primary actors sought to show nature as orderly and fundamentally simple. Leonardo Da Vinci, the epitome of the Renaissance Man, was not the first to apply these ideas of geometric order and patterns to art, but he may be the most well known. Da Vinci used mathematical concepts like linear perspective, proportion and geometry in much of his artwork.