Fractal art - Fractal art Fractal art is an algorithmic approach for producing Computer-generated art using fractal mathematics. Traditionally, fractals fall into three broad categories relevant to fractal art: Computer-generated fractal image. Those for which membership of a point in a fractal set may be determined by iterative application of a simple function. An example of this type is the Mandelbrot set and the Lyapunov fractal. Those for which a geometric replacement rule exists. Examples include Cantor dust, the Sierpinski gasket, the Menger sponge and the Koch snowflake. Those which are generated by stochastic rather than deterministic processes (examples include fractal landscapes). Fractals of all three kinds have been used as the basis for vast sections of digital art and animation. Starting with 2-dimensional details of fractals such as.
Fractal - Fractal A fractal is a set which is self-similar; fractals are repetitive in shape, but not in size. In other words, no matter how much you magnify a fractal, it will always look the same (or at least similar). More specifically, in mathematics a fractal is a set with Hausdorff dimension > topological dimension. Fractals are generally irregular, and thus not definable by traditional geometry -- furthermore, fractals tend to have repetitive details, visible at any arbitrary scale. A fractal may have fractional Hausdorff (or box-counting) dimensions; they may also be defined recursively. Mandelbrot set These characteristics of fractals, while intuitively appealing, are (aside from dimensionality) remarkably hard to condense into a mathematically precise definition. The problem with most definitions of fractal is that there are.
Computer-generated art - Computer-generated art Computer-generated art is art created with a computer. The term is usually appied to works created entirely with a computer. It is a subset of digital art. Movies make heavy use of computer-generated graphics; it is called computer-generated imagery (CGI) in the film industry. In the 1990s, and early 2000s CGI advanced enough so that for the first time it was possible to create realistic 3D computer animation. The film The Phantom Menace was widely noted for its heavy use of computer graphics. Some people argue that completely computer-generated art isn't really art at all, since computers can't really appreciate beauty. See the definition of art. The emerging answer seems to be that they makes a great paintbrush. A paintbrush makes no commentary about the quality.
Juan Maria Solare: List of works - on 7/AUG/1994. "La memoria de Caronte" [The memory of Caronte] for piano (Cologne, June 1994) [4'30"]. To Ligia. First performed by Dorothee Haddenbruch on 3/FEB/2000 in the Aula Magna of the Musikhochschule in Cologne, accompanied by a silent performance by Ligia Liberatori. Repeated by Dorothee Haddenbruch on 1/APR/2000 at the Lukaskirche in Cologne-Flittard, on 23/JUN/2001 at the Kulturbunker Mülheim (Cologne), and on 30/SEP/2001 at the Hans Thomas Gymnasium in Lörrach (Germany). performed by the composer at a home concert at Gudrun Laves' in Worpswede (Germany) on 10/AUG/2002. "Monaden" [Monads] for violoncello (Cologne, February 1995) [1'10"]. To Amy Leung. "Tres Preludios Arcaicos" [Three archaic Preludes] for Tuba alone (Cologne, April-June 1995) [7'00"]. 15 pages. First performed by Miguel Moreno in the Museo Thyssen in Madrid (concert of the Plural Ensemble) on June.
Intellectual history of time - no matter how advanced our technology, there is no way to be God and to be able to look back through time. We actually can only use technology to study the present, and make inferences about the past, and these inferences are necessarily faulty, for our science must by its very nature assume uniformity of processes, equality of time intervals, and other fictions that cannot be gotten around. For example, one can look at the Grand Canyon and "see" how it evolved over millions of years from the river flowing through it eating away at the rocks, or one can be God and see how what really happened was a gigantic flood that made the canyon in weeks, and left a little river at the bottom. It's the ultimate contradiction of.
Clifford A. Pickover - editor for the scientific journal Computers and Graphics and is an editorial board member for Odyssey and Leonardo. Dr. Pickover's primary interest is in finding new ways to continually expand creativity by melding art, science, mathematics, and other seemingly-disparate areas of human endeavor. In particular, he is the author of over thirty books on such topics as computers and creativity, art, mathematics, black holes, human behavior and intelligence, time travel, alien life, and science fiction. Pickover is an inventor with dozens of patents, the author of puzzle calendars, and puzzle contributor to magazines geared to children and adults. His Neoreality science-fiction series explores the fabric of reality and religion. Dr. Pickover is currently a Research Staff Member at the IBM T. J. Watson Research Center. He is also the Brain-Strain columnist.
Symmetry - point as its center. A translation "slides" an object from one area to another by a vector. Even more complex operations on a geometric object, like shrinking or shape warping, can be reduced to the operation of translation of every point within the object. Symmetry occurs in geometry, mathematics, physics, biology, art, literature (palindromes), etc. Although two objects with great similarity appear the same, they must logically be different. For example, if one rotates an equilateral triangle around its center 120 degrees, it will appear the same as it was before the rotation to an observer. In theoretical euclidean geometry, such a rotation would be unrecognizable from its previous form. In reality however, each corner of any equilateral triangle composed of matter must be composed of separate molecules in separate locations..
Ryosuke Cohen - 1948 Osaka (Japan) birth. Superintending the network of a mail art called a BRAIN CELL from 1985, it has No. 570, 80 nations, and 8000 participants or more as of October, 2003. He planned FRACTAL PORTRAIT PROJECT from August, 2001, and is drawing the portrait of the mail artist of each country..
Pattern - Fractals are mathematical patterns. Naturally occurring patterns obey certain principles also found in fractals, for example self-similarity. Even though self-similarity in nature is only approximate and stochastic, integral measures describing fractal properties can also be applied to natural "fractals" like coastal lines, tree shapes, etc. (see fractal geometry). While the outer appearance of self-similar patterns can be quite complex, the rules needed to describe or produce their formation can be extremely simple (e.g. Lindenmayer systems for the description of tree shapes). In addition to static patterns there may be patterns of movement such as oscillation. Patterns In Nature Sea shells, Sand Dollars, etc. Sand dunes, Grand Canyon, etc. Tree branches, ferns, coastal lines, clouds, etc. Patterns In Art Modern art: Mondrian, Op Art Impressionism: Pointillism Performance Art: Crop circles Patterns In.
Mandelbrot set - Mandelbrot set In mathematics, the Mandelbrot set is a fractal that is defined as the set of points c in the complex number plane for which the iteratively defined sequence with z0 = 0 does not tend to infinity. If we reformulate this in terms of real numbers, replacing zn with the point xn + yni and c with the point a + bi, then we get and The Mandelbrot set was created by Benoit Mandelbrot as an index to the Julia sets: each point in the complex plane corresponds to a different Julia set. Those points within the Mandelbrot set correspond precisely to the connected Julia sets, and those outside correspond to disconnected ones. Table of contents showTocToggle("show","hide") 1 Plotting the set 2 Adding Color 2.1 Art and the Mandelbrot.
Mathematical beauty - and from mathematics in general. Sometimes mathematicians describe mathematics as an art form or, at a minimum, as a creative activity. Comparisons are often made with music and poetry. Mathematicians tend to see beauty in mathematical results which establish connections between two areas of mathematics which at first sight appear to be totally independent. A good example of this is Euler's identity, called "the most remarkable formula in mathematics" by Feynman, for relating all the critical constants (0, 1, e, i, pi) and operations (equality, addition/subtraction, multiplication/division, and exponentation/roots) in a neat formula. This is widely recognized to have a property that mathematics professors often describe as beautiful, elegant or important. Such results may be obtained by clever, unconventional or innovative means, but these three terms are not used interchangeably, and.
List of people by name: J - Jacob of Ramate, Maronite patriarch Jacobs, Jane, (born 1916), urban planner Jacobs, Joseph, author Jacobsen, Arne, (1902-1971), Danish architect Jacobsen, Egill, (1910-1998), painter Jacobsen, J. C, (1811-1887) Jacobsen, Roy, author Jacobus De Voragine, (c. 1230-c. 1298) Italian chronicler, archbishop of Genoa Jacotot, Joseph, (1770-1840) Jacq, Christian, French author Jacquard, Joseph Marie, (1752-1834) Jacques, Brian, (born 1939), author Jacques, Hattie, (1922-1980), comedian Jacquet, Illinois, (born 1922), musician Jacquette, Yvonee, (born 1934), American painter Jacquin, Arnaud, fractal compression Jacquot, Rene, boxer Jad Jade, Claude French actress Jadwiga of Poland, (1384-1399), Polish ruler Jae Jaeckel, Richard, (1926-1997), actor Jaenbert, (St.) 765 Jaf Jaffer, Mobina S.B, Canadian senator Jaffe, Sam, (1891-2000), actor Jaffee, Al, MAD Magazine artist/writer Jaffrey, Madhur, actor Jag Jagger, Dean, (1903-1991), actor Jagger, Mick, (born 1943), British musician Jagland, Thorbjørn, (1996-1997), Norwegian.
List of mathematical topics (D-F) - Euler's four-square identity -- Euler's line -- Euler's theorem -- Euler's totient function -- Even number -- Even permutation -- Everett, Hugh -- Everett many-worlds interpretation -- Evolutionarily stable strategy -- Exact sequence -- Examples of differential equations -- Examples of groups -- Examples of Markov chains -- Excessive number -- Excircle -- Exclusive disjunction -- Existence theorem -- Existential quantification -- Expander -- Expected value -- Exponential -- Exponential distribution -- Exponential family -- Exponential function -- Exponential growth -- Exponentiating by squaring -- Exponentiation -- Expression -- EXPSPACE -- EXPTIME -- Extended number -- Extended real number line -- Extended Riemann hypothesis -- Extendible cardinal -- Extension (algebra) -- Extension problem -- Extension (semantics) -- Extensionality -- Exterior algebra -- Exterior derivative -- Extra strong Lucas pseudoprime -- Extractor.
J. Stuart Blackton - ended up as a reporter/artist for the New York Evening World newspaper. In 1896, Thomas Edison publicly demonstrated the Vitascope, one of the first film projectors, and Blackton was sent to interview Edison and provide drawings of how his films were made. Eager for good publicity, Edison took Blackton out to "Black Maria", the special cabin he used to do his filming, and created a film on the spot of Blackton doing a lightning portrait of Edison. The inventor did such a good job selling the art of movie-making that he talked Blackton and partner Smith into buying a print of the new film as well as nine other films, plus a Vitascope to show them to paying audiences (Reader was brought back in to run the projector). The new act.
Jack Cole (comic books artist) - his early days. In 1940 he had learnt much of the fundamentals of narrative illustrating and was handling the art chores for The Spirit strip. In fact, he created his own imitation of the strip called Midnight which featured wilder adventures of the same kind of hero. In 1941 Cole created Plastic Man for Police Comics. A few years later in 1943 the idiosyncratic character gained his own title. Plastic Man's offbeat humor and his ability to take any shape gave the cartoonist many opportunities for experimentation in both text and graphics. Cole continued to work on his wildly popular character for many years and also became the premiere illustrator for Playboy magazine. His elaborately finished cartoons set the style for all the cartoons in the magazine. In 1956 Cole left.
Vesper George Art School - Vesper George Art School The Vesper George School of Art closed its doors in 1984. For many years the school contributed to the Boston, Massachusetts art community, training many talented artists. Many of whom are still very active in both commercial art and fine arts. In addition to training artists it served to allow many artists to maintain a living as instructors while they were building their careers..
Koch curve - Koch curve is a mathematical curve, and one of the earliest fractal curves to have been described. It appeared in a 1906 paper entitled "Une méthode géométrique élémentaire pour l'étude de certaines questions de la théorie des courbes plane" by the Swedish mathematician Helge von Koch [1]. The better known Koch snowflake (or Koch star) is the same as the curve, except it starts with an equilateral triangle (instead of a line segment). Eric Haines has developed the sphereflake fractal, a three-dimensional version of the snowflake. One can imagine that it was created by starting with a line segment, then recursively altering each line segment as follows: divide the line segment into three segments of equal length. draw an equilateral triangle that has the middle segment from step one as its.
Vector graphics - be done completely differently depending on the device at which the rendering is to be targeted at. In the 1970's and 1980's, special vector graphics systems were available, in which the electron beam of the CRT display monitor was steered directly to trace out the shapes required. These systems allowed very high-resolution line art to be displayed without the (at the time) huge memory requirements that an equivalent-resolution raster system would have had. Vector plotters used in technical drafting still draw vectors directly to paper. The term is mainly used in the context of two-dimensional graphics. Virtually all modern 3-d rendering is done using extensions of 2-d vector graphics techniques. Table of contents showTocToggle("show","hide") 1 Motivation 2 Typical primitive objects 3 Vector operations 4 3D modelling 5 See also Motivation For.
Kamaboko - using the Japanese name because no adequate foreign name exists. Kamaboko has been made in Japan since the 14th century C.E. and is now available nearly world wide. References Tsuji, Shizuo, (1980). Japanese cooking: A simple art. Kodansha International, New York..
Kalakshetra - Chennai) estabilished in 1936 to further the study of Indian dance and art form. External Links Kalakshetra website.
