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XaoS
XaoS is an interactive fractal zoomer program. It allows the user to continuously zoom in or out of a fractal in real-time. XaoS is licensed under GPL. The program is cross-platform, and is available for a variety of operating systems, including Linux, Windows, Mac OS X, BeOS and others. Recently an offline web version of XaoS became available, being published at . XaoS can show the Mandelbrot set (power 2, 3, 4, 5 and 6), the Octo fractal, three types of Barnsley's fractals, the Newton fractal (order 3 and 4), Phoenix fractal and Magnet (1 and 2). XaoS can display Julia sets from selected fractal parts. Xaos also allows users to enter custom formulas. Earlier versions of XaoS are capable of displaying fractals as ASCII art using AAlib, which, in combination with being built on freely available GNU tools, allows it to run almost anywhere. Newer versions use the cross-platform Qt library. An interactive help and an animated introduction to fractals are included. The introduct ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mandelbrot Set
The Mandelbrot set () is a two-dimensional set (mathematics), set that is defined in the complex plane as the complex numbers c for which the function f_c(z)=z^2+c does not Stability theory, diverge to infinity when Iteration, iterated starting at z=0, i.e., for which the sequence f_c(0), f_c(f_c(0)), etc., remains bounded in absolute value. This set was first defined and drawn by Robert W. Brooks and Peter Matelski in 1978, as part of a study of Kleinian groups. Afterwards, in 1980, Benoit Mandelbrot obtained high-quality visualizations of the set while working at IBM's Thomas J. Watson Research Center in Yorktown Heights, New York. Images of the Mandelbrot set exhibit an infinitely complicated Boundary (topology), boundary that reveals progressively ever-finer Recursion, recursive detail at increasing magnifications; mathematically, the boundary of the Mandelbrot set is a ''fractal curve''. The "style" of this recursive detail depends on the region of the set boundary being ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fractal-generating Software
Fractal-generating software is any type of graphics software that generates images of fractals. There are many fractal generating programs available, both free and commercial. Mobile apps are available to play or tinker with fractals. Some programmers create fractal software for themselves because of the novelty and because of the challenge in understanding the related mathematics. The generation of fractals has led to some very large problems for pure mathematics. Fractal generating software creates mathematical beauty through visualization. Modern computers may take seconds or minutes to complete a single high resolution fractal image. Images are generated for both simulation (modeling) and random fractals for art. Fractal generation used for modeling is part of realism in computer graphics. Fractal generation software can be used to mimic natural landscapes with fractal landscapes and scenery generation programs. Fractal imagery can be used to introduce irregularity to an ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Qt (software)
Qt ( pronounced "cute") is a cross-platform application development framework for creating graphical user interfaces as well as Cross-platform software, cross-platform applications that run on various software and hardware platforms such as Linux, Windows, macOS, Android (operating system), Android or embedded systems with little or no change in the underlying codebase while still being a native application with native capabilities and speed. Qt is currently being developed by The Qt Company, a publicly listed company, and the Qt Project under open-source governance, involving individual developers and organizations working to advance Qt. Qt is available under both commercial licenses and open-source GNU General Public License, GPL 2.0, GPL 3.0, and GNU Lesser General Public License, LGPL 3.0 licenses. Purposes and abilities Qt is used for developing graphical user interfaces (GUIs) and multi-platform application software, applications that run on all major Desktop computer ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Newton Fractal
The Newton fractal is a boundary set in the complex plane which is characterized by Newton's method applied to a fixed polynomial \mathbb or transcendental function. It is the Julia set of the meromorphic function which is given by Newton's method. When there are no attractive cycles (of order greater than 1), it divides the complex plane into regions , each of which is associated with a root of the polynomial, . In this way the Newton fractal is similar to the Mandelbrot set, and like other fractals it exhibits an intricate appearance arising from a simple description. It is relevant to numerical analysis because it shows that (outside the region of quadratic convergence) the Newton method can be very sensitive to its choice of start point. Almost all points of the complex plane are associated with one of the roots of a given polynomial in the following way: the point is used as starting value for Newton's iteration , yielding a sequence of points If the sequence converge ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Free Mathematics Software
Free may refer to: Concept * Freedom, the ability to act or change without constraint or restriction * Emancipate, attaining civil and political rights or equality * Free (''gratis''), free of charge * Gratis versus libre, the difference between the two common meanings of the adjective "free". Computing * Free (programming), a function that releases dynamically allocated memory for reuse * Free software, software usable and distributable with few restrictions and no payment *, an emoji in the Enclosed Alphanumeric Supplement block. Mathematics * Free object ** Free abelian group ** Free algebra ** Free group ** Free module ** Free semigroup * Free variable People * Free (surname) * Free (rapper) (born 1968), or Free Marie, American rapper and media personality * Free, a pseudonym for the activist and writer Abbie Hoffman * Free (active 2003–), American musician in the band FreeSol Arts and media Film and television * ''Free'' (film), a 2001 American dramedy * '' ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Fractint
Fractint (originally FRACT386) is a freeware computer program to render and display many kinds of fractals. The program originated on MS-DOS, then was ported to the Atari ST, Linux, and Macintosh. During the early 1990s, Fractint was the definitive fractal generating program for personal computers. The name is a portmanteau of ''fractal'' and ''integer'', since the first versions of Fractint used only integer arithmetic (also known as fixed-point arithmetic), for faster rendering on computers without math coprocessors. Since then, floating-point arithmetic and arbitrary-precision arithmetic modes have been added. FractInt can draw most kinds of fractals that have appeared in the literature. It also has a few "fractal types" that are not strictly speaking fractals, but may be more accurately described as display hacks. These include cellular automata. Development Fractint originally appeared in 1988 as FRACT386, a computer program for rendering fractals very quickly on the I ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Spatial Anti-aliasing
In digital signal processing, spatial anti-aliasing is a technique for minimizing the distortion artifacts (aliasing) when representing a high-resolution image at a lower resolution. Anti-aliasing is used in digital photography, computer graphics, digital audio, and many other applications. Anti-aliasing means removing signal components that have a higher frequency than is able to be properly resolved by the recording (or sampling) device. This removal is done before (re)sampling at a lower resolution. When sampling is performed without removing this part of the signal, it causes undesirable artifacts such as black-and-white noise. In signal acquisition and audio, anti-aliasing is often done using an analog anti-aliasing filter to remove the out-of-band component of the input signal prior to sampling with an analog-to-digital converter. In digital photography, optical anti-aliasing filters made of birefringent materials smooth the signal in the spatial optical domain. The anti-a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
AAlib
AAlib is a software library which allows applications to automatically convert still and moving images into ASCII art. It was released by Jan Hubicka as part of the BBdemo project in 1997. AAlib has been used in a wide variety of programs, including a conversion of Quake II which allows the 3D game to be played on dumb terminals, and to let media players output in text mode (Xine, MPlayer, VLC). AAlib is freely distributed under the terms of the LGPLv2. See also * libcaca * ASCII art ASCII art is a graphic design technique that uses computers for presentation and consists of pictures pieced together from the 95 printable (from a total of 128) character (computing), characters defined by the ASCII Standard from 1963 and ASCI ... References External links AAlib home pageat SourceForge.net aart home pageat SourceForge.net ASCII art Free software programmed in C {{DEFAULTSORT:Aalib ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
ASCII Art
ASCII art is a graphic design technique that uses computers for presentation and consists of pictures pieced together from the 95 printable (from a total of 128) character (computing), characters defined by the ASCII Standard from 1963 and ASCII compliant character sets with proprietary extended characters (beyond the 128 characters of standard 7-bit ASCII). The term is also loosely used to refer to #Other text-based visual art, text-based visual art in general. ASCII art can be created with any text editor, and is often used with free-form languages. Most examples of ASCII art require a Monospaced font, fixed-width font (non-proportional typeface, fonts, as on a traditional typewriter) such as Courier (typeface), Courier or Consolas for presentation. Among the oldest known examples of ASCII art are the creations by computer-art pioneer Kenneth Knowlton from around 1966, who was working for Bell Labs at the time. "Studies in Perception I" by Knowlton and Leon Harmon from 1966 ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Julia Set
In complex dynamics, the Julia set and the Classification of Fatou components, Fatou set are two complement set, complementary sets (Julia "laces" and Fatou "dusts") defined from a function (mathematics), function. Informally, the Fatou set of the function consists of values with the property that all nearby values behave similarly under iterated function, repeated iteration of the function, and the Julia set consists of values such that an arbitrarily small Perturbation theory, perturbation can cause drastic changes in the sequence of iterated function values. Thus the behavior of the function on the Fatou set is "regular", while on the Julia set its behavior is "chaos theory, chaotic". The Julia set of a function is commonly denoted \operatorname(f), and the Fatou set is denoted \operatorname(f). These sets are named after the French mathematicians Gaston Julia and Pierre Fatou whose work began the study of complex dynamics during the early 20th century. Form ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Phoenix Fractal
Phoenix most often refers to: * Phoenix (mythology), an immortal bird in ancient Greek mythology * Phoenix, Arizona, the capital of the U.S. state of Arizona and the most populous state capital in the United States Phoenix may also refer to: Greek mythology * Phoenix (son of Amyntor), king of the Dolopians who raises Achilles * Phoenix (son of Agenor), brother or father of Europa * Phoenix, a chieftain who came as guardian of the young Hymenaeus when they joined Dionysus in his campaign against India (see Phoenix (Greek myth)) Places Canada * Phoenix, Alberta, a ghost town * Phoenix, British Columbia, a ghost town United States * Phoenix, Arizona, capital of Arizona and most populous city in the state * Phoenix metropolitan area, Arizona * Phoenix, Georgia, an unincorporated community * Phoenix, Illinois, a village * Phoenix, Louisiana, an unincorporated community * Phoenix, Maryland, an unincorporated community * Phoenix, Michigan, an unincorporated community * Phoenix, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
C (programming Language)
C (''pronounced'' '' – like the letter c'') is a general-purpose programming language. It was created in the 1970s by Dennis Ritchie and remains very widely used and influential. By design, C's features cleanly reflect the capabilities of the targeted Central processing unit, CPUs. It has found lasting use in operating systems code (especially in Kernel (operating system), kernels), device drivers, and protocol stacks, but its use in application software has been decreasing. C is commonly used on computer architectures that range from the largest supercomputers to the smallest microcontrollers and embedded systems. A successor to the programming language B (programming language), B, C was originally developed at Bell Labs by Ritchie between 1972 and 1973 to construct utilities running on Unix. It was applied to re-implementing the kernel of the Unix operating system. During the 1980s, C gradually gained popularity. It has become one of the most widely used programming langu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
