Preview

Mathematics Used in Arts and Architechture

Good Essays
Open Document
Open Document
5015 Words
Grammar
Grammar
Plagiarism
Plagiarism
Writing
Writing
Score
Score
Mathematics Used in Arts and Architechture
Mathematics and art have a long historical relationship. The ancient Egyptians and ancient Greeks knew about the golden ratio, regarded as an aesthetically pleasing ratio, and incorporated it into the design of monuments including the Great Pyramid,[1] theParthenon, the Colosseum. There are many examples of artists who have been inspired by mathematics and studied mathematics as a means of complementing their works. The Greek sculptor Polykleitos prescribed a series of mathematical proportions for carving the ideal male nude. Renaissance painters turned to mathematics and many, including Piero della Francesca, became accomplished mathematicians themselves. Contents [hide] * 1 Overview * 2 Ancient times * 2.1 The Golden Ratio * 2.1.1 Pyramids * 2.1.2 Parthenon * 2.1.3 Great Mosque of Kairouan * 2.2 Polykleitos * 3 Renaissance * 3.1 Paolo Uccello * 3.2 Piero della Francesca * 3.3 Notre Dame * 3.4 Albrecht Dürer * 3.5 De Divina Proportione * 3.6 Da Vinci * 4 Industrial and modern times * 4.1 Penrose tiles * 4.2 Eden Project * 4.3 California Polytechnic State University * 4.4 M.C. Escher * 4.5 Salvador Dalí * 4.6 Pablo Palazuelo * 4.7 John Robinson * 4.8 The Eightfold Way * 4.9 Fractal art * 4.10 Platonic solids in art * 4.11 Bridges conference * 5 See also * 6 References * 7 External links |
-------------------------------------------------
[edit]Overview
Galileo Galilei in his Il Saggiatore wrote that “[The universe] is written in the language of mathematics, and its characters are triangles, circles, and other geometric figures.”[2] Artists who strive and seek to study nature must therefore first fully understand mathematics. On the other hand, mathematicians have sought to interpret and analyse art through the lens of geometry and rationality.
-------------------------------------------------
[edit]Ancient times
[edit]The



References: [edit]Paolo Uccello Italian painter Paolo Uccello (1397–1475) was fascinated by the study of perspective Circle Limit III by M.C. Escher (1959) A renowned artist born in 1898 and died in 1972, M.C [edit]Pablo Palazuelo Pablo Palazuelo (1969–2007) was a contemporary Spanish painter and sculptor focused on the investigation of form [edit]John Robinson John Robinson (1935–2007) was originally a sheep farmer who turned to sculpting

You May Also Find These Documents Helpful

  • Good Essays

    Maria Ascher's *Mathematics Elsewhere,* identifies mathematical ideas that are present all over the world, and is "intended as another step toward a global and humanistic history of mathematics." (Ascher IV) This important volume clarifies how many universal mathematical concepts, both simple and complex, are used and understood by countless cultures worldwide, regardless of differences in geography, language, and era. By studying and widening the scope of the history and breadth of mathematical thought, Ascher argues that "we are supplying complexity and texture... [and] in short, enlarging our understanding of the variety of human expressions and human usages associated with the same basic ideas." (2)…

    • 900 Words
    • 4 Pages
    Good Essays
  • Powerful Essays

    Fillipo Brunelleschi was a renowned Italian artist, sculptor, engineer and architect of the Italian Renaissance. During the early stages of his architectural career, Brunelleschi made a rediscovery of the concepts and principles of one point linear perspective, which he used intensively and extensively for the ornamentation of his architectural ventures. Before Brunelleschi, others had understood the importance of perspective, but up until then, no one had succeeded in devising a mathematical formula for one point perspective. His discovery, use, and demonstration of one point linear perspective proved to be a major turning point in Renaissance art and architecture, and unbeknown to Brunelleschi, his achievements were to have a great impact on the Renaissance, and those who followed him. Perspective is defined as the method of representing threedimensional objects in recession on a two-dimensional surface in order to give the same impression of a relative position, size, or distance as the actual objects do when viewed from a particular point.1 Brunelleschi understood the importance of this concept, and desired to demonstrate how indispensable it could be. This essay will discuss the influences that played an instrumental part in Brunelleschi's achievements, additionally it will discuss how Brunelleschi first demonstrated his formula of linear perspective.…

    • 2172 Words
    • 9 Pages
    Powerful Essays
  • Powerful Essays

    The painting itself has many layers to unravel and each piece plays a crucial role in…

    • 918 Words
    • 4 Pages
    Powerful Essays
  • Good Essays

    For [Paul] Erdös, mathematics was a glorious combination of science and art. On the one hand, it was the science of certainty,…

    • 692 Words
    • 1 Page
    Good Essays
  • Good Essays

    Mc Escher Research Paper

    • 479 Words
    • 2 Pages

    As his work developed, he drew great inspiration from the mathematical ideas he read about, often working directly from structures in plane and projective geometry, and eventually capturing the essence of non-Euclidean geometries, as we will see below. He was also fascinated "impossible" figures, and used an idea of Roger Penrose's to develop many intriguing works of art. The way MC worked changed the way we view many types of artwork and in a great sense it opens our eyes to visualize many different views on the world we live in and how math itself can actually…

    • 479 Words
    • 2 Pages
    Good Essays
  • Good Essays

    The ziggurats of Mesopotamia were the ‘main events’ in their respective city-states while the pyramids of Egypt were beautiful, confined graves. One of these magnificent triangular structures was a place of gathering, just as the other was illegal to enter as a civilian. These are the two most symbolic and astounding architectural creations in history, at least for their shape.…

    • 477 Words
    • 2 Pages
    Good Essays
  • Good Essays

    Introduction Builders create indelible marks on the communities in which they work, creating architectural legacies. Thirty miles north of Mexico City, was the pyramid complex of Teotihuacan in where the various monumental structures contributed to the site’s overall sacredness and iconic design with linkage to its symbolic geographic layout. Its three most significant structures were all situated on a central axis called the Avenue of the Dead (“MYSTIC PLACES: Teotihuacan, Mexico”,n.d.). Similar to the layout of Teotihuacan, the symmetrical and axial ground plan of the Forbidden City of Beijing, China was concentrated on highlighting the power of the emperor. The pyramid complex of Teotihuacan and the Forbidden City of Beijing may appear…

    • 752 Words
    • 4 Pages
    Good Essays
  • Satisfactory Essays

    Golden Mean

    • 589 Words
    • 2 Pages

    As time went by in the 12th century, people wanted to understand the theory of the Fibonacci Series, it was broken down into parts, bits of it where being explained. People then found out as the Fibonacci numbers increase the proportion of two successive numbers, they similar to each other. Each ratio get close too, but never reaches an infinite decimal beginning with the numbers 1.618. This ratio was first named the Divine Proportion, but then changed to the Golden Mean. The Golden Mean was then given the abbreviation of ø. One of the people who used this was the Greeks. The Greeks used the Golden Mean to design buildings; they also created what’s called today the Golden Rectangle. Before the Greeks, the Egyptians used the Golden Mean to build pyramids. One of those was the “The Great Pyramid of Cheops”…

    • 589 Words
    • 2 Pages
    Satisfactory Essays
  • Good Essays

    Ancient Greek Culture

    • 1522 Words
    • 7 Pages

    There are so many ways in which history has been documented over time all serving as a permanent record of a culture and its people for future generations to have access to and learn from. The study of the visual arts and architecture in a given time period showcase the basic ideas about a group of human beings giving insight into their beliefs and cultural message. These insights are presented with a specific point of view intended by its creator, influenced by its historical experiences. And so, it is the responsibility of the observer to examine pieces of art and architectural structures taking into account the context in which they were produced. By doing so, we can more accurately understand the ideas that are trying to be conveyed. Political,…

    • 1522 Words
    • 7 Pages
    Good Essays
  • Good Essays

    Artists and master builders saw divine order in geometric relationships and expressed these n their art.…

    • 1317 Words
    • 6 Pages
    Good Essays
  • Good Essays

    Golden Ratio

    • 559 Words
    • 3 Pages

    The theory of the Italian mathematician Leonardo Pisano is extremely present today. While he was trying to sort out the number of rabbits that mated in a year, he discovered a series of numbers, that are profoundly consistent in man, nature & animals. This discovery was extraordinary, but he also found that the ratio always resulted in 1.618. Although it is called differently, this ratio is often called „the golden ratio“. It's marked with the Greek letter phi. It's just amazing how we've used it to create beauty in art & architecture, today you may find the golden ratio in everydays objects such as tables, couches, doors,posters, books and etc.…

    • 559 Words
    • 3 Pages
    Good Essays
  • Better Essays

    Golden ratio

    • 1214 Words
    • 5 Pages

    About two to three thousand years ago, the Golden Ratio was first recognized and made use by the ancient mathematicians in Egypt. The golden ratio was introduced by its frequent use in geometry. An ancient mathematician, sculptor, and architect named Phidias, who used the golden ratio to make sculptures, discovered it. He lived from sometime around 490 to 430 BC. None of his original works exist, however he was highly spoken of by ancient writers who gave him high praise. Hegias of Athens, Agelades of Argos, and Polygnotus of Thasos were said to have trained him.…

    • 1214 Words
    • 5 Pages
    Better Essays
  • Satisfactory Essays

    Another concept I thought was interesting was the pentagram Pythagoras and his friends used. One could break it down into 4 different lengths. And if you added up the different lengths they were equal to the largest single length. Also that the pentagram can keep repeat itself by drawing it inside the center pentagram. The pentagram is kind of like Pascal’s triangle in the way that has many hidden secrets. Then there was the golden rectangle that everyone was crazy about. It was used in everything from buildings to sculptures to paintings. If you looked at any of their…

    • 487 Words
    • 2 Pages
    Satisfactory Essays
  • Better Essays

    Golden Ratio Paper

    • 1766 Words
    • 8 Pages

    Many people over the course of history have often wondered about beauty. Beauty is a powerful force that has waged wars and influenced the minds of many, but has never been deciphered. Until, the discovery of a natural ratio, that changed the game of beauty in all aspects. “Many of the greatest mathematical minds of all ages, from Pythagoras and Euclid in ancient Greece, through the medieval Italian mathematician Leonardo of Pisa and the Renaissance astronomer Johannes Kelper, to present day scientific figures such as Oxford physicist Roger Penrose, have spent endless hours over this simple ratio and its properties, called the golden ratio”(Livio, 2007). This can be located in thousands of natural and manmade objects, and is believed to hold the key to the secret of beauty. Still, no one knows who first discovered the golden ratio, but it is known that the Egyptians used it in the creation of the Great Pyramids at Giza. In addition, Phidias applied the golden ratio to the design of the Parthenon (Livio, 2007). These two marvelous structures were the first known cases of where the golden ratio had been used. The golden ratio started to make its mark on the world when it was first applied to the arts.…

    • 1766 Words
    • 8 Pages
    Better Essays
  • Better Essays

    “Is mathematics discovered or invented?” To commence with this essay, we must first understand a few key words used in this statement and question. ‘Mathematics’ is generally believed to be the body of knowledge centered on concepts such as quantity, structure, space, and change, and also the academic discipline that studies them. Whereas ‘discover’ and ‘invent’ means to find information, a place or an object, especially for the first time and to design or create something which has never been made before respectively. Therefore this question can be rephrased. The body of knowledge centered on concepts such as quantity, structure, space, and change is being found or created?…

    • 1212 Words
    • 5 Pages
    Better Essays