Note: Sample below may appear distorted but all corresponding word document files contain proper formattingExcerpt from Term Paper:
Technology and art have been married in a number of ways, showing how the two may complement one another:
Mathematics provides a framework for artistic expression while art can awaken mathematical intuition, revealing aspects of mathematics that are otherwise hidden within abstract formulations (Cipra 748).
The marriage of technology and art has engendered considerable interest in academic circles, and among the recent developments have been a meeting of more than one hundred mathematicians, artists, and educators in 1992 to consider the trend among artists to visualize mathematical concepts. Artists have helped visualize difficult mathematical processes, and one that has been cited is the act of turning a sphere inside out without introducing a sharp crease at any point during the operation. This was demonstrated using computer graphics in 1989 after the procedure itself was described mathematically in 1959. The process is known as sphere eversion and has been pictured graphically by Francois Apery of the University of Upper Alsace in France (Peterson 299).
Another use of computers for creating art involves the use and creation of fractals, a geometry developed to study chaos theory, a geometry that focuses on broken, uneven, and wrinkled shapes (Briggs 22). Fractals are only one means of utilizing computer graphics in art, and the artistic expression possible with the computer has barely been tapped as yet. The growing awareness of links between math and art may produce new art forms in the coming years.
Various mathematical ideas and tools are used directly in graphic design. Mathematical grids are often used in the design of the printed page or some graphics for other purposes, with the grid laying out horizontal and vertical elements in a pleasing and orderly fashion. Graphic artists can use grids to create templates which can be used again and again for different design issues.
Artists have always studied nature and developed rules concerning design and proportion in order to create works as close to life as possible. Artists have also discerned certain mathematical principles that have becoming guides for their work, such as the ratio known as the Golden Mean. This is a mathematical atio of the larger side of a rectangle compared to the shorter. The ancient Greeks saw this as a ratio like pi, with both being irrational numbers. The Greeks used the Golden Mean in architectural design, and artists have used it in the construction of their paintings for centuries since. The ratio was thought by the Greeks to produce buildings that would be the most pleasing to the eye, and its use in painting often explains the way the artist balances different lines and masses in the frame. The Golden Mean is often used in other types of design as well and for the same reason, because it is believed to produce the most pleasing effect.
Both symmetry and asymmetry are also used in design. Symmetry can be based on translation, rotation, or reflection. Translation refers to the movement of a design in a linear direction so that the design is repeated again and again. Rotation turns the design around and reproduces it in different directions. Reflection reproduces the design as if in a mirror, often repeating the design in both a horizontal and vertical direction. Variations in the design can create asymmetry within the symmetry and may be used to give variation to the design and so to maintain interest.
Many more complex mathematical concepts are often translated into design elements, such as Fibonacci numbers, a numbering system found in nature in a wide variety of places and now used as part of the generator for fractals and other graphic designs on computer. The Fibonacci sequence shows each succeeding numb er in the sequence to be the sum of the two preceding numbers, as in the sequence 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89. And so on. The pattern appears so often in the natural world that it is seen as one of the laws of nature, and artists make use of this principle in recreating images from nature and also in generating new designs in more abstract design forms.
Certain geometric forms are used in design because they are seen as natural and perfect, with some gaining spiritual significance as well. The mandala is such a design and appears in religious art and religious symbolism from various parts of the world, showing that many cultures have turned to nature and the idea of perfection for inspiration. The Mandela may also be called the sacred circle, with the circle seen as a perfect form found throughout nature. The kaleidoscope is a generator of Mandela designs, as can be a computer. Images of the circle adored with repeated graphic elements generated according to the principles of symmetry can be found throughout the world.
As noted, the design forms of the graphic arts from graphic design to computer design are most readily seen by the untrained eye as having a mathematical basis, though mathematics has also been a key element in representational painting and drawing through the ages as well. Artists have observed nature and discovered many of the same principles mathematicians have discovered, then applying those principles to their work.
Briggs, John. Fractals: The Patterns of Chaos. New York: Touchstone, 1992.
Chilvers, Ian, Harold Osborne, and Dennis Farr. The Oxford Dictionary of Art. New York: Oxford University Press, 1994.
Cipra, Barry. "Cross-Disciplinary Artists Know Good Math When They See it... " Science (7 Aug 1992), 748-749.
De La Croix, Horst, Richard G. Tansey, and Diane Kirkpatrick. Gardner's Art Through the Ages. New York: Harcourt Brace Jovanovich, 1991.
Fineberg, Jonathan. Art Since 1940. Englewood Cliffs, New Jersey: Prentice-Hall, 1995.
Goodman, Cynthia. Digital Visions: Computers and Art. New York: Harry N. Abrams, 1987.
Janson, H.W. History of Art. New York: Harry N. Abrams, 1969.…[continue]
"Mathematics And Art Mathematics Is" (2007, July 19) Retrieved October 21, 2016, from http://www.paperdue.com/essay/mathematics-and-art-is-36617
"Mathematics And Art Mathematics Is" 19 July 2007. Web.21 October. 2016. <http://www.paperdue.com/essay/mathematics-and-art-is-36617>
"Mathematics And Art Mathematics Is", 19 July 2007, Accessed.21 October. 2016, http://www.paperdue.com/essay/mathematics-and-art-is-36617
Mathematics and Art Mathematics The application that I researched and found of mathematics and art is Data Visualization, which is closely related to Infographics. On a very simple level, data visualizations are artistic, aesthetic representations of data. The ways in which the data visualization can be "drawn" or created involves different kinds of mathematics, including vectors, fractals, algorithms, and statistics. Data visualization is a fairly new field, indigenous to the 21st century.
Art History Of the Western World Leonardo Da Vinci's Mona Lisa, also known as La Giconda, is one of the most well-known paintings of the High Renaissance period. Painted between 1503-1506, it was done with oil paints on wood. Part of the reason it has so haunted people is because of Da Vinci's unique ability to capture expressions and facial subtleties that are lost in works by other artists. Da Vinci
if, as Halmos suggests, math is a creative art then math must also be the handmaid of science. Describing mathematics as a creative art helps students of math better understand the true roles of the mathematician. Numbers, while in many ways central to the art of math, do not comprise the whole lexicon of mathology. Mathematics does stem from "sheer pure intellectual curiosity," enabling students to perceive the world through
Thus, the invention of perspective by the artists of the Renaissance reflected the emergence of science and the mathematical ordering of man's observations of the physical world. The manifestation of perspective can clearly be observed in the paintings of many Renaissance artists. For instance, da Vinci's masterpiece the Last Supper, rendered between 1495 and 1498 as a wall fresco, portrays the figure of Jesus Christ sitting in the center of
Note the distinct similarities. An examination of Escher's Circle Limit III can thus tell us much about distance in hyperbolic geometry. In both Escher's woodcut and the Poincare disk, the images showcased appear smaller as one's eye moves toward the edge of the circle. However, this is an illusion created by our traditional, Euclidean perceptions. Because of the way that distance is measured in a hyperbolic space, all of the
Art During Renaissance The Evolution of Art During the Renaissance The Renaissance period is defined as a cultural movement that spanned approximately from the 14th to the 17th century, beginning in Italy in the Late Middle Ages and later spreading to the rest of Europe (Brotton 2006, p. 6). This period in the history of art included the painting, decorative arts and sculpture of the period and for many was considered a
What inspiration and creativity will the next generation of artists utilize in forming their great works and how will the world perceive their masterpieces. Art Compilation Book Conclusion After completing this course I can honestly say that my educational horizon has been expanded. Exploring the vast world of modern art and observing the strange yet innovative techniques used by modern artists has only inspired my personal pursuits and desires to implement