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List Of Mathematical Art Software
Gallery See also * ASCII art * Computer-based mathematics education * Computer representation of surfaces * For loop * Fractal-generating software * Julia set * Lambert W function * Lens space * List of interactive geometry software * List of mathematical artists * Mathethon - computational mathematics competition * Mathlete * Parametric surface * Procedural modeling#Procedural modeling suites, Procedural modeling suites * Ray tracing (graphics), Ray tracing * Tesseract * 3Blue1Brown - math YouTube (YouTube channel), Youtube channel References

{{reflist * http://xahlee.info/math/algorithmic_math_art.html Computer art Fractals Fractal software Mathematics and art, Visual arts Applied mathematics 3D graphics art Algorithmic art Digital art ...
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Apophysis (software)
Apophysis is an open-source software, open source fractal flame editor and renderer for Microsoft Windows and Mac (computer), Macintosh. Apophysis has many features for creating and editing fractal flames, including an editor that allows one to directly edit the affine transform, transforms by manipulating triangles, a mutations window, which applies random edits to the triangles, an adjust window, which allows the adjustment of coloring and location of the image. It also provides a scripting language with direct access to most of the components of the fractal, which allows for effects such as the animations seen in Electric Sheep, which are also fractal flames. Users can export fractal flames to other fractal flame rendering programs, such as FLAM3. There is a separate version of Apophysis that supports 3D computer graphics, 3D. There are numerous clones, ports, and forks of it. History Scott Draves invented Fractal Flames and published an Open-source software, open source im ...
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GeoGebra
GeoGebra (a portmanteau of ''geometry'' and ''algebra'') is an interactive geometry, algebra, statistics and calculus application, intended for learning and teaching mathematics and science from primary school to university level. GeoGebra is available on multiple platforms, with apps for desktops (Windows, macOS and Linux), tablets ( Android, iPad and Windows) and web. It is presently owned by Indian edutech firm Byju's. History GeoGebra's creator, Markus Hohenwarter, started the project in 2001 as part of his master's thesis at the University of Salzburg. After a successful Kickstarter campaign, GeoGebra expanded its offering to include an iPad, an Android and a Windows Store app version. In 2013, GeoGebra incorporated Bernard Parisse's Xcas into its CAS view. The project is now freeware (with open-source portions) and multi-lingual, and Hohenwarter continues to lead its development at the University of Linz. GeoGebra includes both commercial and not-for-profit entit ...
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Python (programming Language)
Python is a high-level programming language, high-level, general-purpose programming language. Its design philosophy emphasizes code readability with the use of significant indentation. Python is type system#DYNAMIC, dynamically type-checked and garbage collection (computer science), garbage-collected. It supports multiple programming paradigms, including structured programming, structured (particularly procedural programming, procedural), object-oriented and functional programming. It is often described as a "batteries included" language due to its comprehensive standard library. Guido van Rossum began working on Python in the late 1980s as a successor to the ABC (programming language), ABC programming language, and he first released it in 1991 as Python 0.9.0. Python 2.0 was released in 2000. Python 3.0, released in 2008, was a major revision not completely backward-compatible with earlier versions. Python 2.7.18, released in 2020, was the last release of ...
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Procedural Modeling
Procedural modeling is an umbrella term for a number of techniques in computer graphics to create 3D models and textures from sets of rules that may be easily changed over time. L-Systems, fractals, and generative modeling are procedural modeling techniques since they apply algorithms for producing scenes. The set of rules may either be embedded into the algorithm, configurable by parameters, or the set of rules is separate from the evaluation engine. The output is called procedural content, which can be used in computer games, films, be uploaded to the internet, or the user may edit the content manually. Procedural models often exhibit database amplification, meaning that large scenes can be generated from a much smaller number of rules. If the employed algorithm produces the same output every time, the output need not be stored. Often, it suffices to start the algorithm with the same random seed to achieve this. Although all modeling techniques on a computer require algorithm ...
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Grasshopper 3D
Grasshopper is a visual programming language and environment that runs within the Rhinoceros 3D computer-aided design (CAD) application. The program was created by David Rutten, at Robert McNeel & Associates. Programs are created by dragging components onto a canvas. The outputs of those components are then connected to the inputs of subsequent components. Overview Grasshopper is primarily used to build generative algorithms, such as for generative art. Many of Grasshopper's components create 3D geometry. Programs may also contain other types of algorithms including numeric, textual,A list of functions to link to datastreams containing numbers and text information audio-visual and haptic applications. Advanced uses of Grasshopper include parametric modelling for structural engineering, architecture and fabrication, lighting performance analysis for energy efficient architecture, and building energy use. The first version of Grasshopper, then named ''Explicit History'', was re ...
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OpenFrameworks
openFrameworks is an open-source toolkit designed for creative coding founded by Zachary Lieberman, Theo Watson and Arturo Castro. OpenFrameworks is written in C++ and built on top of OpenGL. It runs on Microsoft Windows, macOS, Linux, iOS, Android and Emscripten. It is maintained by its founders with contributions by other members of the openFrameworks community. History The 0.01 version of openFrameworks was released by Zachary Lieberman on August 3, 2005. By February 2006, Lieberman was using version 0.03 with their students at the Parsons School of Design in New York City. According to its authors, openFrameworks was developed for "... folks using computers for creative, artistic expression, and who would like low level access to the data inside of media in order to manipulate, analyze or explore. That audience we felt was significantly underserved by the current crop of C++ libraries." Artists and projects Several notable artists have used openFrameworks in ...
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Generative Art
Generative art is post-conceptual art that has been created (in whole or in part) with the use of an autonomous system. An ''autonomous system'' in this context is generally one that is non-human and can independently determine features of an artwork that would otherwise require decisions made directly by the artist. In some cases the human creator may claim that the Generative systems, generative system represents their own artistic idea, and in others that the system takes on the role of the creator. "Generative art" often refers to algorithmic art (algorithmically determined Computer-generated artwork, computer generated artwork) and synthetic media (general term for any algorithmically generated media), but artists can also make generative art using systems of chemistry, biology, mechanics and robotics, smart materials, manual randomization, mathematics, data mapping, symmetry, and Tessellation, tiling. Generative algorithms, algorithms programmed to produce artistic work ...
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Algorithmic Art
Algorithmic art or algorithm art is art, mostly visual art, in which the design is generated by an algorithm. Algorithmic artists are sometimes called algorists. Algorithmic art is created in the form of digital paintings and sculptures, interactive installations and music compositions. Algorithmic art is not a new concept. Islamic art is a good example of the tradition of following a set of rules to create patterns. The even older practice of weaving includes elements of algorithmic art. As computers developed so did the art created with them. Algorithmic art encourages experimentation allowing artists to push their creativity in the digital age. Algorithmic art allows creators to devise intricate patterns and designs that would be nearly impossible to achieve by hand. Creators have a say on what the input criteria is, but not on the outcome. Overview Algorithmic art, also known as computer-generated art, is a subset of generative art (generated by an autonomous syste ...
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Processing (programming Language)
Processing is a free graphics library and integrated development environment (IDE) built for the electronic arts, new media art, and visual design communities with the purpose of teaching non-programmers the fundamentals of computer programming in a visual context. Processing uses the Java programming language, with additional simplifications such as additional classes and aliased mathematical functions and operations. It also provides a graphical user interface for simplifying the compilation and execution stage. The Processing language and IDE have been the precursor to other projects including Arduino and Wiring. History The project was initiated in 2001 by Casey Reas and Ben Fry, both formerly of the Aesthetics and Computation Group at the MIT Media Lab. In 2012, they started the Processing Foundation along with Daniel Shiffman, who joined as a third project lead. Johanna Hedva joined the Foundation in 2014 as Director of Advocacy. Originally, Processing had used t ...
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Cinder (programming Library)
Cinder is an open-source programming library designed to give the C++ language advanced visualization abilities. It was released as a public tool in spring 2010 and can be viewed in many ways as a C++-based alternative to tools like the Java-based Processing library, Microsoft Silverlight or Adobe Flash Adobe Flash (formerly Macromedia Flash and FutureSplash) is a mostly discontinuedAlthough it is discontinued by Adobe Inc., for the Chinese market it is developed by Zhongcheng and for the international enterprise market it is developed by Ha .... It is also comparable to the C++ based openFrameworks; the main difference is that Cinder uses more system-specific libraries for better performance while openFrameworks affords better control over its underlying libraries. Unlike Flash and Silverlight, Cinder is generally used in a non-browser environment. This, combined with the speed provided by C++, makes the library more appropriate for heavily abstracted projects, inclu ...
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Winplot
Winplot is a general-purpose plotting utility for Microsoft Windows that can draw (and animate) curves and surfaces presented in a variety of formats. The final 2012 release of Winplot can run on Windows 95, 98, Me, 2000, XP, Vista, 7. It may also run on Windows 8, 10, and 11. It is a 32-bit application. It is released as freeware, with no source code available, as its author, Rick Parris, did not want to relinquish control of development, and felt his code was lengthy and badly documented. Rick Parris died on October 23, 2012. He was 67. Some time after his death, Phillips Exeter Academy stopped hosting his official Winplot website, so an alternative link is provided. Features Winplot can generate both 2D and 3D plots of functions and sequences. It can also animate these plots using up to 23 variables and their corresponding sliders. Only one slider may be animated at a time. It also has various export options including EPS, SVG, PiCTeX, Metafile, and simple copying to the ...
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Grapher
Grapher is a computer program bundled with macOS since version 10.4 that is able to create 2D and 3D graphs from simple and complex equations. It includes a variety of samples ranging from differential equations to 3D-rendered Toroids and Lorenz attractors. It is also capable of dealing with functions and compositions of them. One can edit the appearance of graphs by changing line colors, adding patterns to rendered surfaces, adding comments, and changing the fonts and styles used to display them. Grapher is able to create animations of graphs by changing constants or rotating them in space. History Before Grapher and Mac OS X, Mac OS 9 was bundled with Pacific Tech's Graphing Calculator, a similar program to Grapher that had been included with over 20 million Macintoshes since 1994 with System 7. No versions of Mac OS X prior to Mac OS X v10.4 included a bundled graphing calculator application. On July 22, 2004, Apple bought Arizona Software's "Curvus Pro X," and ren ...
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