This website uses cookies to ensure you have the best experience. Learn more

Fractals: Stonehenge, The Pyramids Of Giza, The Parthenon

2299 words - 9 pages

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 Architecture courses, I learned about many ancient architectural feats-- Stonehenge, the Pyramids of Giza, the Parthenon, many Gothic Cathedrals, and the Taj Mahal-- and that they all somehow involved the use of the golden ratio. I will come back to how this relates to fractals later in the article, but for now know that each of these buildings use different aspects of their design to form the golden ratio. I was intrigued by the fact that fractals, what seemed to be something only formed by the forces of nature, were being constructed by human hands. Although I wanted badly to find out more, I waited until that summer, when I discovered a YouTube account by the name of Vihart. Vihart’s videos are not tutorials on how to do math, however Vihart’s ramblings about the nature and the concepts of the mathematical world have a lot of educational value, especially on topics that are more complicated to understand then to compute. Her videos on fractal math and their comparability to nature, helped to show me that there was a lot more to fractals than I had originally thought; I was hooked.
However difficult they are to understand conceptually, they are easily identifiable. Described as, “infinitely complex patterns that are self-similar across different scales,” (Wolfe) you are able to see when something looks like a fractal. As you zoom in on a picture of a fractal, you find that each image is the same (or similar) as the one preceding it. For example:
(Neural Outlet)
The matching colors represent the magnification of that part, called the iteration, of this particular fractal. One thing that makes fractals special is that they have their own dimensions, fractal dimensions. Dimensions are the number of planes an object lies on, one dimension represented by a line (an x-axis for example,) two dimensions represented by a square (an x and y-axis,) and three dimensions by a cube (or x, y, and z-axis.) Fractals fall somewhere in the middle of these standard dimensions because they are too detailed when on any plain to be called one, two, or three-dimensional (Luis).
Sierpinski triangle; each picture is an iteration of the one before it, removing the middle 1/4th of the of the whole (filled) triangle. (Luis)


Find Another Essay On Fractals: Stonehenge, the Pyramids of Giza, the Parthenon

The Mystery of Stonehenge Essay

1155 words - 5 pages March 24, 2009StonehengeA place that has been surrounded in mystery, debate and speculation for centuries, located in the English county of Wiltshire on the Salisbury Plains, is one of the world’s most famous prehistoric sites. Stonehenge is a ruin of an old building that is the oldest structure in Western Europe. The name "Stonehenge" means hanging stone in the Saxon language. It has around 165 stones that are placed in an ordinary style

Ideas of the Parthenon Essay

1429 words - 6 pages crown jewel of Greek architecture, the Parthenon, is one such of these examples. It brings into form the three principal ideas of humanism, rationalism, and idealism of the 5th century Greek people through not only its structure, but its ornamentation and sculpture as well. The basis of humanism can be summed up in the words of Protagoras, “Man is the measure of all things.” Humanism is the idea that human beings are the yardstick by with to

How an Architectural Intention Was Embodied in the Pyramids of Giza: A Relationship Between the Building and Geometry

3342 words - 13 pages Today the Pyramids of Giza continue to be a mystery to researchers and admirers of ancient Egyptian architecture. One of these great pyramids, Cheops, is among the Seven Wonders of the World and is renowned for its geometric eccentricities. They were built around 4500 years ago and are located on the western bank of the Nile River in Al-Jizah, Egypt. These buildings took on original construction that was sought after an Egyptian sophistication

The Significance of the Parthenon

899 words - 4 pages Why is the Parthenon regarded as the finest example of the architecture of Ancient Greece? Consider the building siting, design, detailing, materials and cultural significance.Built in a time of radical new ideas in science, beauty, government and the role of the common individual, the Parthenon represents the ideologies of Ancient Greece at the height of it's power. From it's design and construction, to its use by both ancient Athenians and

The Parthenon

1721 words - 7 pages The ancient Greek civilization contributed many great new ideas and aspects to everyday life that shaped and inspired the modern day society. The Greeks are well known for their construction of temples, acropolis’ and other grand architectural structures. Among these structures stood one of the most famous, the Parthenon. The Parthenon was a symbol of Greek society and culture as it stood as one of Greece’s most important architectural buildings

The Pyramids of Egypt

693 words - 3 pages and 1990s, characterized by the use of robots and computers to map and analyze the structure of the pyramids. Many aspects of the Egyptian pyramids remain a mystery, but scholars continue to excavate them, explore them, and learn more about them.The Pyramids. Nova Online. < >The Seven Wonders: The Pyramids of Giza.< >"Egyptians." Worldmark Encyclopedia of Cultures and Daily Life. 4 vols.Gale Research, 1998.

Building Of The Pyramids

1593 words - 6 pages Giza and the Great Pyramids This paper is primarily concerned with the tangible and visible memorials of the Old Kingdom, with special focus on the site of Giza, Egypt, during the reigning period of the IV dynasty. The pyramid complex, including the Pyramids of Khufu, Khafre, and Menkare, as well as other tombs and mortuary temples are covered in the context of structure and construction.The oldest Egyptian tombs are Mastabas. This is a

"The Parthenon"

1175 words - 5 pages The Parthenon is a marvel of Greek architecture and innovation and has the recognition of being one of the most perfect Doric temples ever built. Although now partly in ruins, it stands towering above Athens, a real and tangible item of their power and wealth for centuries.The Parthenon was built under the rule of the Greek politician Pericles, who sought to restore Athens' temples, which were destroyed by the Persians. They Athenians used the

The Parthenon

1605 words - 6 pages The Parthenon Building the Parthenon was a greater feat than they ever would have known. Work on the Parthenon began in 477 BC. A much smaller shrine already stood on this site, one to which we can attribute various pieces of surviving decorative material--lions and snakes, a cornice incised with flying birds, and a blue-bearded trinity that may conceivably represent Cecrops, Erechtheus, and Poseidon. If such an edifice in fact existed

The Parthenon

1577 words - 6 pages The Parthenon There are some historians that believe before the Parthenon began, Athens concluded a peace treaty with Persia in 449 BC. The Athenian Empire was at the height of its power when the work on the Parthenon began in 447 BC and continued until 432 BC. The Delian League/Athenian Empire continued to exist even after the reason for its existence ceased to be valid. It is now openly acknowledged that Athens was not just the head of

The Great Pyramid of Giza

1987 words - 8 pages . The Great Pyramid of Giza is a fairly typical pyramid. It is not decorated with reliefs or inscriptions, and it is built in the same shape as all other pyramids. The Pyramid of Giza was not the first pyramid to be built, yet this pyramid has become one of the most famous structures in the world. The Pyramid of Giza, though not much larger than most pyramids, is in fact the largest pyramid ever built. This pyramid exemplifies the advancements and

Similar Essays

The Mysteries Of The Egyptian Pyramids At Giza

1167 words - 5 pages Have you ever wondered how the Egyptian pyramids were built or even when they began? How they are so fascinating and yet remain a mystery? These well-built structures are located in Giza, Egypt, on the west bank of the Nile River. The pyramids are the oldest and last surviving member of ancient admiration. These monuments from ancient Egyptian times are massive, and were made for kings to be buried in and remembered by. These pyramids are a

How Does Geometry Convey Beauty Through The Pyramids Of Giza?

1254 words - 6 pages How does Geometry convey beauty through the Pyramids of Giza? The creation of the Pyramids of Giza have a huge impact in the architectural and mathematical world, that lies within the use of geometric shapes that conceal symbolism and precise measurements deep within its foundation, which is reflected in its spiritual and physical beauty. Amongst all the aspects that the pyramids reflect, there is one in particular that is not always seen by

Pyramids Of Giza Essay

961 words - 4 pages Has it ever crossed your mind that the oldest and only surviving of the Seven Wonders of the World was built in times that predated any modern technology? Doesn't it seem almost impossible? There are three Pyramids of Giza, the first one was commissioned in Ancient Egypt by the Pharaoh Khufu, around the year 2540 BCE. They are located in Giza, Egypt, and take on this name. Standing 488 ft tall, they were once the tallest buildings in the world

The Creation Of Stonehenge Essay

1094 words - 5 pages The Construction of Stonehenge When the first circle of Stonehenge began construction in 4000 B.C., the wheel was being discovered in Mesopotamia, cattle was just beginning to become domesticated, and stone tools were still being used (Gabriel). People were learning to form hierarchal societies, still a far cry from what has come of those early communities today. Stonehenge, which has seen many different forms in that circular patch of earth in