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Golden Ratio explanation
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What is the Golden Ratio
The golden ration can occur anywhere. The golden proportion is the ratio of the shorter length to the longer length which equals the ratio of the longer length to the sum of both lengths.
The golden ratio is a term used to describe proportioning in a piece. In a work of art or architecture, if one maintained a ratio of small elements to larger elements that was the same as the ratio of larger elements to the whole, the end result was pleasing to the eye.
The ratio for length to width of rectangles is 1.61803398874989484820. The numeric value is called “phi”.
The Golden Ratio is also known as the golden rectangle. The Golden Rectangle has the property that when a square is removed a smaller rectangle of the same shape remains, a smaller square can be removed and so on, resulting in a spiral pattern.
The Golden Rectangle is a unique and important shape in mathematics. The Golden Rectangle appears in nature, music, and is often used in art and architecture. Some thing special about the golden rectangle is that the length to the width equals approximately 1.618……
Golden Ration = Length = 1.6
Width
The golden rectangle has been discovered and used since ancient times. Our human eye perceives the golden rectangle as a beautiful geometric form. The symbol for the Golden Ratio is the Greek letter Phi.
The Fibonacci Series was discovered around 1200 A.D. Leonardo Fibonacci discovered the unusual properties of the numeric series, that’s how it was named. It is not proven that Fibonacci even noticed the connection between the Golden Ratio meaning and Phi.
The Renaissance used the Golden Mean and Phi in their sculptures and paintings to achieve vast amounts balance and beauty.
The Golden Ratio in Architecture and Art
Throughout the centuries, artists have used the golden ratio in their own creations. An example is “post” by Picasso. When using a golden mean gauge you can see that the lines are spaced to the Golden Proportion.
The Golden Ratio also appears in the Parthenon in Athens. It was built about 440 B.C.; it forms a perfect Golden Rectangle. The exterior dimensions form Golden Rectangle. The Golden Ratio also appears in the front face, which is found to be Phi times as wide as it is tall, so therefore it is a Golden Rectangle. The height of the roof is Phi times the space between the tops of the columns and the bottom of the roof.
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...tellectus. However, while painting in the ratio he noticed some things were more beautiful to paint than others. Ratio is what caused him to not enter through the gates of heaven. He had not preserved his intellectus or true beauty of things. He had lost intellectus through realization of time, of time slowing. So, instead of letting time go he grabbed it which brought him to reason his paintings through the mind rather than the spirit.
The ratio is explained simply like this. According to the Adonis Golden Ratio review the distance between your head and navel is about 1:1.618 of the distance from your head down to your fingertips. As mentioned earlier this is the same formula that artist like Leonardo da Vinci used with another equally gifted artist/architect. This is the measurements that captures women attention whether they like it or not. There is something pleasing about looking at the male physique that looks nearly flawless and
Bruder and Kenneth (2014) wrote that Plato also had his own theory of souls. According to Plato’s Republic, the human soul consists of three different elements. One of these souls consists of raw appetites. This soul includes our basic desires for various pleasures, comforts, physical satisfaction, and bodily ease (Kerns, n.d). Another of Plato’s souls consists of drives, or anger and ambition (Bruder & Kenneth, 2014, p.288). Kerns (n.d) described this soul as being spirited, in this sense meaning to be with high-energy and power, or hot blooded. It gets angry when it perceives injustice, for example, being done. This is also the part if us that loves to face and overcome great challenges, as well as loves victory, winning, challenge, and honor.
This paper will discuss three specific instances: Le Sacrifice, Psappha, and Metastasis. The first principle that I will discuss is the Golden Section. The Golden Section can be found in art and architecture dating as far back as the Parthenon, as well as different places in nature, such as the nautilus shell. The Golden Section is essentially a proportion that is established by taking a single line and dividing that line into two separate sections of unequal lengths, one quite longer than the other.
The society established by the Republic of Gilead in “The Handmaid’s Tale” is founded on and sustained by false doctrine. They intentionally twist and skew the Bible in order to justify their actions and brainwash the women who are involuntarily participating in their indoctrinated society. The Gilead does not treat the Bible as the divine word of God. Instead, they exploit its authority and use it as a tool for their own benefit. The very framework of the Gilead’s social hierarchy is in sharp contradiction to everything the Bible teaches, but because they are so corrupt and only use the Bible for their own advantage, they seem not to care. Instead of abiding by the teachings in the Bible and letting them shape how things are done, they hand-select and contort certain parts of it to match the framework of their own aspirations and beliefs, which are by no means Christian. Every piece of scripture that the Republic customizes is specifically suited to help them achieve their ultimate goal: indoctrinating an entire society for the purposes of personal power and authority. The end product is the unethical, dysfunctional society that is depicted in “The Handmaid’s Tale.” The Republic of Gilead is by no means a true religious group, but they do use religion and skewed religious text as a reference for the foundation, justification, manipulation, and enforcement of their new society.
The society which is truly only run by men takes specific sections of the Bible to put up on a pedestal and leave the rest of them to hide and act as if they do not exist. The government takes the parts of the Bible which glorify marriage, that forgive men of adultery for the purposes of childbirth, and that convict women. These were carefully chosen by the leaders and made them into the law that is used in Gilead with the purpose of giving them the most power possible. Other parts of the bible that emphasize meekness and humility have been used to order the Handmaids around. The only authorized religion that is allowed in Gilead is the one that benefits the state leaders. In the Republic of Gilead what the government has chosen to be taken from the Bible has become absolute law. “God is a National Resource” (Attwood 213). The people of Gilead are constantly being reminded by banners that they are ruled over by religion and they simply assume that they are being given the best. When in reality the government picks and chooses what he rules get to be. The government uses the Bible to strip away all rights from women f
Vigee-LeBrun, Elizabeth. "HUMAN PROPORTIONS." Human Figure Drawing Proportions. Donald A. Jusko, n.d. Web. 22 Jan. 2014.
The Parthenon was built during the Golden age in Athens, Greece. The Parthenon is made of mainly columns; there is a 9:4 ratio. It was almost destroyed in war; the ruins that remained were dedicated to Athena. The purpose of the Parthenon was to house the statue of Athena, made of ivory and gold, and also Athena’s treasure. The ratios and the equations used to make the Parthenon were used as a sign of the harmony in the natural world around us. The mathematical harmony in the world shows how we can work with the world rather than destroy to make it what we want. The Parthenon also has no straight lines. The columns of the Parthenon are angled going up getting smaller the higher they get. This was done so that you could get the best lighting
I am going to begin by investigating a square with a side length of 10
Named after the Polish mathematician, Waclaw Sierpinski, the Sierpinski Triangle has been the topic of much study since Sierpinski first discovered it in the early twentieth century. Although it appears simple, the Sierpinski Triangle is actually a complex and intriguing fractal. Fractals have been studied since 1905, when the Mandelbrot Set was discovered, and since then have been used in many ways. One important aspect of fractals is their self-similarity, the idea that if you zoom in on any patch of the fractal, you will see an image that is similar to the original. Because of this, fractals are infinitely detailed and have many interesting properties. Fractals also have a practical use: they can be used to measure the length of coastlines. Because fractals are broken into infinitely small, similar pieces, they prove useful when measuring the length of irregularly shaped objects. Fractals also make beautiful art.
The surface-to-volume ratio is a mathematical relationship between the volume of an object and the amount of surface area it has. This ratio often plays an important role in biological structures. Think of a cell as a sphere:
Fractal Geometry The world of mathematics usually tends to be thought of as abstract. Complex and imaginary numbers, real numbers, logarithms, functions, some tangible and others imperceivable. But these abstract numbers, simply symbols that conjure an image, a quantity, in our mind, and complex equations, take on a new meaning with fractals - a concrete one. Fractals go from being very simple equations on a piece of paper to colorful, extraordinary images, and most of all, offer an explanation to things. The importance of fractal geometry is that it provides an answer, a comprehension, to nature, the world, and the universe.
Then in Euclid II, 7, it goes farther to explain that “if a straight line be cut at random, the square on the whole and that on one of the segments both together, are equal to twice the rectangle contained by the whole and said segm...
Plato’s idea on the self is very simple yet complex. He has a different way of talking, which means that he either tells you what he means or he contradicts himself. He starts off saying that the soul, psyche, is the “thing” that causes things to be alive, but then says that “I” equals my soul. Does that mean that I cause myself to be alive? That thought can be very contradicting and complicated to understand. He then goes and says that the soul is different from the body. This thought is very complicated and makes Plato’s words very contradicting. On the other hand, Plato’s idea of self can be simple to understand if we take another view on it. We know that two things are constant in Plato’s search to find the answers for the soul and these