I’d like to talk about the “Golden Ratio” and “The rule of Third”, They are very famous in the world and always use in the building , art and photograph,etc.They have lots of value in the world, although someone has a different opinion. Because of people have different arguments, the “Golden ratio” and “the rule of thirds” can become more complete .
The “Golden Ratio” can be described as a complex mathematical formula.The Golden Ratio is a special number which be found from division line into 2 parts , and the longer line use division method small line, the can has a irrational number, the number is “Golden Ratio” and the number is 1.6180339887498948420…
It has long history which begin 6th century BC at ancient Greek and invented by Pythagorean
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Why people use “Golden Ratio” and Why people use “The rule of Third”.There are lots of argument between “golden ratio”and “rule of third”. Some building use “Golden Ratio” because the architect think use “Golden Ratio” can make building more prefect and suit people visual sense. Such as Pyramid,Notre Dame de Paris and Eiffel Tower. Vinci always use the “Golden Ratio” in his work, for example Mona Lisa and The Last Supper. For “Rule of Third”,the reason of people use it in photo and painting is suit human visual . It has same cause with “Golden Ratio”. Some people think “Golden Ratio” and “ Rule of Third” do not have any value in building and picture, they think “Golden Ratio”and “Rule of Third” are wrong way and lies for Art. There is a report about “Golden Ratio”,the report make a interesting test, they use the “Golden Ratio” in people’ s face. The report think “Golden Ratio” do not useful in life and anything. However, the report is …show more content…
There are a thousand Hamlets in a thousand people's eyes, so not all building and photo use “Golden Ratio” and “Rule and Third”, because not every architect and photographer like use the “golden ratio” and “rule of third” .Different people have have different cause to make art become
...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 world. It was invented by Eli Whitney while America was still barely 10 years old. At that time
Da Vinci was one of the first artists to incorporate mathematics into his works of art. In the book titled Leonardo on Painting by Martin Kemp, it states that Da Vinci used angle measures to further increase the realism of his works of art. One example given by the book is about the angle of light, when light hits a shape or face at a certain angle it creates a specific shadow, that shadow allows the object to appear more three-dimensional. Another example of how Di Vinci displays his knowledge in mathematics through his art can be found in the painting the last supper, in this painting he drew the celling as more of a trapezoidal shape to make the back wall appear further away from the table rather than having the table appear to be placed directly in front of the back wall. According to Leonardo on Painting, Historians are in constant debate on whether or not his shift in art styles had any correlation with the time period he lived in, which as we all know is considered the renaissance period. Historians say that the renaissance period was a period of time in which philosophy and experimentation and free thinking trailed the minds of the people living during that
Oftentimes when a report is filed, the faculty and staff are untrained and do not know
As many composers of his day, Webern very often constructed his compositions with the golden ratio in mind. “The golden ratio, also known...
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.
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...
The "Golden Role" The Golden Rule. N.p., n.d. Web. The Web. The Web. https://sakai.luc.edu/access/content/group/PHIL_181_014_5296_1142/Readings/golden-rule-corrected%20proofsLaFollette_188.pdf>.
The aim of classical design has always been, according to Vitruvius’ De Architectura libri decem (De Architectura) known today as The Ten Books on Architecture, to proportion a harmonic structure. According to Marcus Vitruvius Pollio the theory of proportion is particularly important when it comes to designing a building, a passage in which his study relates human and architectural proportions he states:
...on of light and the rays are proportions in the Fibonacci sequence. Fibonacci relationships are found in the periodic table of elements used by chemists. Fibonacci numbers are also used in a Fibonacci formula to predict the distant of the moons from their respective planets. A computer program called BASIC generates Fibonacci ratios. “The output of this program reveals just how rapidly and accurately the Fibonacci ratios approximate the golden proportion” (Garland, 50). Another computer program called LOGO draws a perfect golden spiral. Fibonacci numbers are featured in science and technology.
Modern Art does not follow any traditional rule, in fact Modern Art breaks this barrier. In the traditional way of painting, you must the true nature of your work; you must have the balance in creating it. The rules that are working on our universe must be applied to the old traditional painting.
In conclusion, there are so many uses and aspects of the Golden Ratio and Golden Rectangle. Since they have been first used three thousand years ago, it has continued to be a major part of modern design. There is so many examples of this ratio in the world that it is impossible to ignore. The beauty of this ratio in art, architecture, nature is phenomenal. The Golden Ratio and Golden Rectangle will continue being a major part of mathematics for a very long time. Most of the world today has been shaped by these concepts, and will continue to shape the future.
Throughout math, there are many patterns of numbers that have special and distinct properties. There are even numbers, primes, odd numbers, multiples of four, eight, seven, ten, etc. One important and strange pattern of numbers is the set of Fibonacci numbers. This is the sequence of numbers that follow in this pattern: 1, 1, 2, 3, 5, 8, 13, 21, etc. The idea is that each number is the sum of its previous two numbers (n=[n-1]+[n-2]) (Kreith). The Fibonacci numbers appear in various topics of math, such as Pascal?s Triangle and the Golden Ratio/Section. It falls under number theory, which is the study of whole or rational numbers. Number Theory develops theories, simple equations, and uses special tools to find specific numbers. Some topic examples from number theory are the Euclidean Algorithm, Fermat?s Little Theorem, and Prime Numbers.
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.