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38:. 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
485:
format, as well as the ability to save parameter files, allowing the user to easily return to previously created images for later modification or exploration. The formula, parameters, variables and coloring algorithms for fractal images can be exchanged between users of the same program. There is no
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may be included. Many packages also allow the user to input their own formula, to allow for greater control of the fractals, as well as a choice of color rendering, along with the use of filters and other image manipulation techniques. Some fractal software packages allow for the creation of movies
874:
The open source GnoFract 4D is available. ChaosPro is freeware fractal creation program. Fraqtive is an open source cross platform fractal generator. MandelX is a free program for rendering fractal images on
Windows. WinCIG, Chaoscope, Tierazon, Fractal Forge and Malsys also generate fractal
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to parameters that were previously impossible due to render delay. 3D fractal generation emerged around 2009. An early list of fractal-generating software was compiled for the book titled
Fractals: The Patterns of Chaos by John Briggs published in 1992. Leading writers in the field include
871:. Mandelbulb 3D is free software for creating 3D images featuring many effects found in 3D rendering environments. Incendia is a 3D fractal program that uses Iterated Function Systems (IFS) for fractal generation. Visions of Chaos, Boxplorer and Fragmentarium also render 3D images.
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generators. This software presents the user with a more limited range of settings and features, sometimes relying a series pre-programmed variables. Because complex images can be generated from simple formula fractals are often used among the
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can be used. A number of web-based interfaces for the fractal generation are freely available including Turtle
Graphics Renderer. Fractal Lab can generate both 2D and 3D fractals and is available over the web using
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that can be produced varies according to type and is sometimes limited according to the method implemented. There are numerous coloring methods that can be applied. One of earliest was the escape time algorithm.
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One feature of most escape time fractal programs or algebraic-based fractals is a maximum iteration setting. Increasing the iteration count is required if the image is magnified so that fine
660:
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Many different features are included in fractal-generating software packages. A corresponding diversity in the images produced is therefore possible. Most feature some form of
217:. She followed this up in the March 1984 Acorn User with “Snowflakes and other fractal monsters”. Fractals were rendered in computer games as early as 1984 with the creation of
158:. Throughout the following years, mathematicians have postulated the existence of numerous fractals. Some were conceived before the naming of fractals in 1975, for example, the
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output hugely variable magnitudes resulting in heavy repetitive banding or large areas of the same color. Because of the convenient ability to add post-processing effects
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in a fractal image is evaluated according to a function and then coloured, before the same process is applied to the next pixel. The former method represents the classical
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867:. Mandelbulber is an experimental, cross platform open-source program that generates three-dimensional fractal images. Mandelbulber is adept at producing 3D
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contains a fractal (or random) modifier. Many stand-alone fractal-generating programs can be used in conjunction with other graphics programs (such as
193:. He and programmers working at IBM generated the first rudimentary fractal printouts. This marked the first instance of the generation of fractals by
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is not lost. Limiting the maximum iterations is important when a device's processing power is low. Coloring options often allow colors to be
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Parallel
Computing Technologies: 12th International Conference, PaCT 2013, St. Petersburg, Russia, September 30-October 4, 2013, Proceedings
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There are two major methods of two dimensional fractal generation. One is to apply an iterative process to simple equations by generative
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116:. The generation of fractals such as the Mandelbrot set is time-consuming and requires many computations, so it is often used in
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There are many fractal generating programs available, both free and commercial. Notable fractal generating programs include:
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is a ray tracing program which generates images from a text-based scene description that can generate fractals. Scripts on
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programs. Fractal imagery can be used to introduce irregularity to an otherwise sterile computer generated environment.
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Most of the above programs make two-dimensional fractals, with a few creating three-dimensional fractal objects, such as
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Garcia, Francisco; Fernandez, Angel; Barrallo, Javier; Martin, Luis. "Coloring dynamical systems in the complex plane".
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The generation of fractal images grew in popularity as the distribution of computers with a maths co-processor or
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298:. This computer-based generation of fractal objects is an endless process. In theory, images can be calculated
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The generation of fractals by calculation without computer assistance was undertaken by German mathematician
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651:. Fractal Grower is software written in Java for generating Lindenmayer Substitution Fractals (L-systems).
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of high resolution VGA standard images could take many hours. Fractal generation algorithms display extreme
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is a cross-platform open source tool for producing images based on histograms of iterated chaotic functions
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approach while the latter implements a linear fractal model. Using recursion allowed programmers to create
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W.D. Mayfield; J.C. Eilan; T.J. Hu; M.C. Paulsen; B.M. Wyatt (2016). "Fractal Art
Generation using GPUs".
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features found in other graphics software have been included. Both 2D and 3D rendering effects such as
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674:, generating fractals can be difficult to master. A small change in a single variable can have an
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may appear in images depending on the method of coloring used as well as gradient color density.
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listing for generating fractal shapes by Susan
Stepney, now Professor of Computer Science at the
979:"Linear Cellular Automata, Substitutions, Hierarchical Iterated Function Systems and Attractors"
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to generate terrain. Fractals have been generated on computers using the following methods:
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Chen’, Yan Qiu; Bi, Guoan (May–June 1997). "3-D IFS fractals as real-time graphics model".
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981:. In Encarnacao, Jose L.; Peitgen, Heinz-Otto; Sakas, Georgios; Englert, Gabriele (eds.).
223:. From the early 1980s to about 1995 hundreds of different fractal types were formulated.
8:
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NikielÂą, Slawomir S (October 1998). "True-colour images and iterated function systems".
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1045:"This 4-kilobyte demo squeezes a universe of fractals into the size of a Word document"
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from a sequence of fractal images. Others display render time and allow some form of
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Learning and
Teaching Mathematics using Simulations: Plus 2000 Examples from Physics
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334:. These simple fractals originate from a technique first proposed in 1904 by Koch.
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in the central processing unit were adopted throughout the 1990s. At this time the
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produce a series of values. In fractal software values for a set of points on the
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Three dimensional fractals are generated in a variety of ways including by using
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330:. These programs use an initiator followed by a generator that is repeated in a
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368:. Fractals emerge from fluid dynamics modelling simulations as turbulence when
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fractal image. Images are generated for both simulation (modeling) and random
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306:. Mandelbrot used quadratic formulas described by the French mathematician
151:
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618:) contains filters or plug-ins which can be used for fractal generation.
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in computers has greatly increased the speed of rendering and allowed for
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53:. Modern computers may take seconds or minutes to complete a single high
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The development of the first fractal generating software originated in
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1243:"Susan Stepney Professor of Computer Science, University of York, UK"
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created a two-minute color film called Vol Libre for presentation at
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in computer graphics. Fractal generation software can be used to
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Viewpoints: Mathematical
Perspective and Fractal Geometry in Art
647:
generator. Mandelbrot
Fractal is a fractal explorer written in
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generator that can render animations for
Windows and Mac OS X
775:
753:– open source distributed screensaver software, developed by
740:
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346:
295:
178:
730:– cross platform commercial software partially developed by
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1998:
1988:
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478:
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238:. Fractal-generating software was rewritten to make use of
128:
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method was introduced in 1993. Programs might use fractal
4255:
1602:"Welcome to the official home of the JWildfire software!"
1326:
1601:
1835:
1402:
Chen, J-N; N M Thalmann; Z-S Tsang; D Thalmann (1994).
686:
is advantageous. This includes the characteristics of
185:. In 1979, Mandelbrot discovered that one image of the
162:
by Dutch mathematics teacher Albert E. Bosman in 1942.
1442:. Springer Science & Business Media. p. 150.
977:
F. v., Haeseler v.; H.-O Peitgen; G. Skordev (2012).
501:. Options for color density are common because some
1699:"Generate spectacular 3D fractals with Mandelbulber"
1531:
Leys, Jos (June 2005). "Sphere inversion fractals".
1496:
985:. Springer Science & Business Media. p. 3.
882:
855:– cross platform open source fractal zooming program
849:– can be used specifically to create fractal images
326:self-similar or deterministic fractals such as the
3865:The Drawing of Geometric Patterns in Saracenic Art
1370:
4000:Goudreau Museum of Mathematics in Art and Science
1724:"Mandelbulb 3D (MB3D) Fractal Rendering Software"
6526:
942:
817:- a cross platform open source terrain generator
705:Example for an open source program: mandelbulber
678:effect. Some software presents the user with a
1042:
811:– creates fractals by plotting simple functions
1297:"Snowflakes and other monsters, pp 25, 28, 29"
796:– music visualization plugin distributed with
302:but in practice are approximated to a certain
6004:
5008:Note: This template roughly follows the 2012
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4092:
3995:European Society for Mathematics and the Arts
3169:Mathematica: A World of Numbers... and Beyond
2863:
2242:
1890:
1696:
1621:
3149:List of works designed with the golden ratio
1670:
1497:Peitgen, Heinz-Otto; Peter Richter (1986).
1270:"Incredible fractals, pp 37, 39, 41 and 43"
1106:
805:– a defunct landscape generator for Windows
132:A similar plot to the very first render by
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946:Fractal Worlds: Grown, Built, and Imagined
843:fractal generator for Windows and Mac OS X
770:initially released in 1988 with available
3209:Cathedral of Saint Mary of the Assumption
1353:
1332:
1069:
643:. JWildfire is a java-based, open-source
552:Cover of Scientific American, August 1985
1322:
1320:
1318:
1217:"Vol Libre: The First Fractal CGI Movie"
700:
658:
453:
442:
431:
270:
138:
127:
83:
15:
3755:Vier BĂĽcher von Menschlicher Proportion
2877:
2803:List of fractals by Hausdorff dimension
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1294:
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1015:
739:– commercial IFS software for Windows,
6527:
5708:Knowledge representation and reasoning
1738:
1368:
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983:Fractal Geometry and Computer Graphics
949:. Yale University Press. p. 129.
587:Realtime escape-time fractal rendering
5992:
5733:Philosophy of artificial intelligence
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486:universally adopted standard fractal
5052:Energy consumption (Green computing)
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943:Frame, Michael; Amelia Urry (2016).
614:Standard graphics software (such as
603:Four-dimensional raytraced animation
294:are calculated and then rendered as
45:Fractal generating software creates
5738:Distributed artificial intelligence
5010:ACM Computing Classification System
3940:Journal of Mathematics and the Arts
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1126:
1097:
1063:
936:
473:, and the ability to save files in
205:in 1980. The October 1983 issue of
13:
6494:Los Angeles Center for Digital Art
6206:Generative artificial intelligence
5243:Integrated development environment
3954:Making Mathematics with Needlework
1697:Mike Williams (25 November 2013).
1162:"Session 5 - Escape-Time Fractals"
1153:
1036:
1006:
970:
14:
6561:
5718:Automated planning and scheduling
5248:Software configuration management
3780:I quattro libri dell'architettura
2785:How Long Is the Coast of Britain?
1853:
1408:. World Scientific. p. 100.
1405:Fundamentals of Computer Graphics
1188:. Walter de Gruyter. p. 56.
626:) to create more complex images.
341:consisting of a number of affine
5972:
5962:
5953:
5952:
4059:
4058:
3304:Self-portrait in a Convex Mirror
2988:
899:
885:
597:
581:
563:
546:
242:. Subsequently, the adoption of
6018:
5963:
5366:Computational complexity theory
1671:Joey Bernard (7 January 2014).
1373:Fractals: The Patterns of Chaos
1288:
1268:Stepney, Susan (October 1983).
1261:
1235:
1043:Janus Kopfstein (14 May 2014).
823:– freeware software for Windows
275:Various trees rendered with an
197:laws or 'escape time fractal'.
23:fractal made with Fragmentarium
5150:Network performance evaluation
4015:National Museum of Mathematics
3767:Regole generali d'architettura
2809:The Fractal Geometry of Nature
1836:"Free software from Falcosoft"
1673:"Taking Fractals off the Page"
1652:. The University of New Mexico
1622:Mike Williams (17 July 2016).
1503:. Springer-Verlag. p. 2.
1377:. Simon and Schuster. p.
1139:. Cardinal. pp. 222–223.
790:– Windows based fractal zoomer
747:. Free for non-commercial use.
436:An animation being created in
337:The other main method is with
61:. Fractal generation used for
1:
5521:Multimedia information system
5506:Geographic information system
5496:Enterprise information system
5085:Computer systems organization
4123:Biological data visualization
1484:10.1016/S0097-8493(97)00014-9
1295:Stepney, Susan (March 1984).
1030:10.1016/S0097-8493(98)00072-7
930:
6479:Austin Museum of Digital Art
5880:Computational social science
5468:Theoretical computer science
5281:Software development process
5057:Electronic design automation
5042:Very Large Scale Integration
3540:Garden of Cosmic Speculation
2256:
1838:. Falcosoft. 27 January 2017
1726:. SphereLab. 17 January 2014
663:Fractal zoom animation on a
7:
6126:Artificial intelligence art
6096:Fractal-generating software
5703:Natural language processing
5491:Information storage systems
2825:Chaos: Making a New Science
1869:An Introduction to Fractals
1860:Fractal-generating software
1136:Chaos: Making a New Science
878:
698:exhibited by all fractals.
654:
427:
345:. In the first method each
28:Fractal-generating software
10:
6566:
5619:Human–computer interaction
5589:Intrusion detection system
5501:Social information systems
5486:Database management system
4163:Mathematical visualization
3057:Islamic geometric patterns
2198:Mathematical visualization
2173:Computer-generated imagery
1559:"Turtle Graphics Renderer"
1070:Malyshkin, Victor (2013).
469:selection, an interactive
266:
123:
99:Fractals are generated in
6459:
6415:
6289:
6113:
6083:
6033:
6026:
5948:
5885:Computational engineering
5860:Computational mathematics
5837:
5784:
5746:
5693:
5655:
5617:
5559:
5476:
5422:
5384:
5329:
5266:
5199:
5163:
5120:
5084:
5017:
5006:
4841:
4711:
4575:
4529:
4453:
4352:
4321:
4314:
4221:
4158:Information visualization
4143:Educational visualization
4115:
4054:
4023:
3977:
3931:
3878:A Mathematician's Apology
3838:
3791:
3674:
3637:
3630:
3462:
3315:
3261:
3252:
3199:
3141:
2997:
2986:
2885:
2776:
2700:
2649:
2620:
2536:
2506:
2488:
2329:
2264:
2211:
2165:
2124:
2091:
2071:
2035:
2028:
2007:
1976:
1935:
1912:
1748:. Ramiro PĂ©rez Clare Nash
1545:10.1016/j.cag.2005.03.011
1076:. Springer. p. 267.
778:and Windows (as WinFract)
596:
580:
562:
557:
545:
540:
535:
339:Iterated Function Systems
244:graphics processing units
240:multi-threaded processing
34:that generates images of
6443:Listening Post (artwork)
5895:Computational healthcare
5890:Differentiable computing
5809:Graphics processing unit
5228:Domain-specific language
5097:Computational complexity
4334:Charles-René de Fourcroy
4183:Scientific visualization
4110:of technical information
3990:The Bridges Organization
2193:Iterated function system
1871:by Paul Bourke, May 1991
1533:Computers & Graphics
1472:Computers & Graphics
1223:. Jeremy Norman & Co
1018:Computers & Graphics
682:and an understanding of
73:natural landscapes with
6514:V&A Digital Futures
6251:Photograph manipulation
5870:Computational chemistry
5804:Photograph manipulation
5695:Artificial intelligence
5511:Decision support system
3852:The Grammar of Ornament
3804:Nature's Harmonic Unity
3714:De prospectiva pingendi
1301:www-users.cs.york.ac.uk
1274:www-users.cs.york.ac.uk
1247:www-users.cs.york.ac.uk
461:using multiple programs
322:Some programs generate
5935:Educational technology
5766:Reinforcement learning
5516:Process control system
5414:Computational geometry
5404:Algorithmic efficiency
5399:Analysis of algorithms
5047:Systems on Chip (SoCs)
4754:Christopher R. Johnson
4306:Technical illustration
4193:Software visualization
4005:Institute For Figuring
3917:The 'Life' of a Carpet
3742:A Treatise on Painting
2817:The Beauty of Fractals
1794:"ChaosPro Release 4.0"
1500:The Beauty of Fractals
1436:Russ, John C. (2013).
1221:History of Information
1133:Gleick, James (1987).
706:
667:
462:
451:
447:Fractal created using
440:
279:
154:in 1883 to create the
147:
136:
96:
24:
6484:Computer Arts Society
5905:Electronic publishing
5875:Computational biology
5865:Computational physics
5761:Unsupervised learning
5675:Distributed computing
5551:Information retrieval
5458:Mathematical analysis
5448:Mathematical software
5331:Theory of computation
5296:Software construction
5286:Requirements analysis
5164:Software organization
5092:Computer architecture
5062:Hardware acceleration
5027:Printed circuit board
4648:Lawrence J. Rosenblum
4461:Edward Walter Maunder
4385:Charles Joseph Minard
4203:User interface design
4178:Product visualization
3886:George David Birkhoff
3860:Ernest Hanbury Hankin
3728:De divina proportione
3708:Piero della Francesca
3687:Leon Battista Alberti
3274:Piero della Francesca
2913:Hyperboloid structure
1369:Briggs, John (1992).
1182:Röss, Dieter (2011).
1109:"Chapter 8. Fractals"
704:
662:
457:
446:
435:
390:Hypercomplex manifold
274:
142:
131:
87:
19:
6372:Hamid Naderi Yeganeh
6347:Lynn Hershman Leeson
6181:Digital architecture
6156:Digital illustration
6091:Graphic art software
5665:Concurrent computing
5637:Ubiquitous computing
5609:Application security
5604:Information security
5433:Discrete mathematics
5409:Randomized algorithm
5361:Computability theory
5339:Model of computation
5311:Software maintenance
5306:Software engineering
5268:Software development
5218:Programming language
5213:Programming paradigm
5130:Network architecture
4928:Scientific modelling
4903:Information graphics
4643:Clifford A. Pickover
4593:William S. Cleveland
4501:Henry Norris Russell
4486:Howard G. Funkhouser
4430:Florence Nightingale
4395:Francis Amasa Walker
4291:Statistical graphics
4213:Volume visualization
4188:Social visualization
3811:Frederik Macody Lund
3682:Filippo Brunelleschi
3563:Hamid Naderi Yeganeh
3425:La condition humaine
2763:Lewis Fry Richardson
2758:Hamid Naderi Yeganeh
2548:Burning Ship fractal
2480:Weierstrass function
2132:Burning Ship fractal
1624:"Mandelbrot Fractal"
1249:. University of York
680:steep learning curve
261:Clifford A. Pickover
220:Rescue on Fractalus!
195:non-linear creations
189:could be created by
171:generalized function
6246:Music visualization
6171:Digital photography
5940:Document management
5930:Operations research
5855:Enterprise software
5771:Multi-task learning
5756:Supervised learning
5478:Information systems
5301:Software deployment
5258:Software repository
5112:Real-time computing
4908:Information science
4871:in computer science
4663:Sheelagh Carpendale
4598:George G. Robertson
4435:Karl Wilhelm Pohlke
4370:André-Michel Guerry
4246:Graph of a function
4241:Engineering drawing
4036:Mathematical beauty
3961:Rhythm of Structure
3904:Gödel, Escher, Bach
3700:De re aedificatoria
3331:The Ancient of Days
2950:Projective geometry
2879:Mathematics and art
2521:Space-filling curve
2498:Multifractal system
2381:Space-filling curve
2366:Sierpinski triangle
2178:Fractal compression
2101:MojoWorld Generator
2063:Wolfram Mathematica
847:Wolfram Mathematica
803:MojoWorld Generator
459:Simulated landscape
228:floating-point unit
209:magazine carried a
101:music visualization
47:mathematical beauty
6392:Ben Rubin (artist)
6337:Desmond Paul Henry
6136:Computer art scene
6101:Animation software
5723:Search methodology
5670:Parallel computing
5627:Interaction design
5536:Computing platform
5463:Numerical analysis
5453:Information theory
5238:Software framework
5201:Software notations
5140:Network components
5037:Integrated circuit
4948:Volume cartography
4712:Early 21st century
4608:Catherine Plaisant
4603:Bruce H. McCormick
4557:Mary Eleanor Spear
4547:Arthur H. Robinson
4481:Arthur Lyon Bowley
4454:Early 20th century
4301:Technical drawings
4173:Molecular graphics
4148:Flow visualization
4138:Data visualization
4041:Patterns in nature
3898:Douglas Hofstadter
3524:Desmond Paul Henry
3514:Bathsheba Grossman
3446:The Swallow's Tail
3367:Giorgio de Chirico
3239:Sydney Opera House
3094:Croatian interlace
2748:Aleksandr Lyapunov
2728:Desmond Paul Henry
2692:Self-avoiding walk
2687:Percolation theory
2331:Iterated function
2272:Fractal dimensions
1113:The Nature of Code
915:Logarithmic spiral
907:Mathematics portal
893:Visual arts portal
774:, later ported to
707:
668:
463:
452:
441:
422:Strange attractors
366:quaternion algebra
280:
257:Heinz-Otto Peitgen
215:University of York
148:
143:Palette editor in
137:
97:
79:scenery generation
75:fractal landscapes
25:
6522:
6521:
6402:Camille Utterback
6352:Zachary Lieberman
6322:Stephanie Dinkins
6109:
6108:
5986:
5985:
5915:Electronic voting
5845:Quantum Computing
5838:Applied computing
5824:Image compression
5594:Hardware security
5584:Security services
5541:Digital marketing
5321:Open-source model
5233:Modeling language
5145:Network scheduler
4966:
4965:
4943:Visual perception
4893:Graphic organizer
4866:Computer graphics
4837:
4836:
4819:Martin Wattenberg
4794:Hanspeter Pfister
4749:Martin Krzywinski
4673:Jock D. Mackinlay
4653:Thomas A. DeFanti
4576:Late 20th century
4496:Ejnar Hertzsprung
4198:Technical drawing
4074:
4073:
3927:
3926:
3891:Aesthetic Measure
3762:Sebastiano Serlio
3736:Leonardo da Vinci
3626:
3625:
3618:Margaret Wertheim
3279:Leonardo da Vinci
2845:
2844:
2791:Coastline paradox
2768:Wacław Sierpiński
2753:Benoit Mandelbrot
2677:Fractal landscape
2585:Misiurewicz point
2490:Strange attractor
2371:Apollonian gasket
2361:Sierpinski carpet
2224:
2223:
2183:Fractal landscape
2093:Scenery generator
2087:
2086:
1922:Graphics software
1107:Daniel Shiffman.
722:Microsoft Windows
720:IFS software for
688:fractal dimension
612:
611:
511:alpha compositing
410:Lyapunov fractals
372:is used to study
370:contour advection
312:fractal dimension
288:Dynamical systems
248:real-time changes
236:parallelizability
167:Benoit Mandelbrot
134:Benoit Mandelbrot
32:graphics software
6557:
6545:Fractal software
6450:Remember To Rise
6424:Edmond de Belamy
6416:Notable artworks
6407:Pindar Van Arman
6342:Mario Klingemann
6211:Generative music
6191:Evolutionary art
6186:Electronic music
6166:Digital painting
6031:
6030:
6013:
6006:
5999:
5990:
5989:
5976:
5975:
5966:
5965:
5956:
5955:
5776:Cross-validation
5748:Machine learning
5632:Social computing
5599:Network security
5394:Algorithm design
5316:Programming team
5276:Control variable
5253:Software library
5191:Software quality
5186:Operating system
5135:Network protocol
5000:Computer science
4993:
4986:
4979:
4970:
4969:
4953:Volume rendering
4938:Visual analytics
4933:Spatial analysis
4913:Misleading graph
4764:David McCandless
4739:Gordon Kindlmann
4703:Alfred Inselberg
4698:Leland Wilkinson
4633:Michael Friendly
4567:Howard T. Fisher
4530:Mid 20th century
4471:W. E. B. Du Bois
4375:William Playfair
4365:Adolphe Quetelet
4339:Joseph Priestley
4322:Pre-19th century
4319:
4318:
4286:Skeletal formula
4153:Geovisualization
4128:Chemical imaging
4101:
4094:
4087:
4078:
4077:
4062:
4061:
3912:Nikos Salingaros
3635:
3634:
3603:Hiroshi Sugimoto
3553:Robert Longhurst
3499:Helaman Ferguson
3454:Crockett Johnson
3383:Circle Limit III
3352:Danseuse au café
3259:
3258:
3229:Pyramid of Khufu
2992:
2872:
2865:
2858:
2849:
2848:
2708:Michael Barnsley
2575:Lyapunov fractal
2433:Sierpiński curve
2386:Blancmange curve
2251:
2244:
2237:
2228:
2227:
2033:
2032:
1958:Kalles Fraktaler
1906:Fractal software
1899:
1892:
1885:
1876:
1875:
1848:
1847:
1845:
1843:
1832:
1826:
1825:
1823:
1821:
1811:
1805:
1804:
1802:
1800:
1790:
1784:
1783:
1781:
1779:
1770:. Archived from
1764:
1758:
1757:
1755:
1753:
1742:
1736:
1735:
1733:
1731:
1720:
1714:
1713:
1711:
1709:
1694:
1688:
1687:
1685:
1683:
1668:
1662:
1661:
1659:
1657:
1650:"Fractal Grower"
1646:
1640:
1639:
1637:
1635:
1619:
1613:
1612:
1610:
1608:
1598:
1592:
1591:
1589:
1587:
1576:
1570:
1569:
1567:
1565:
1555:
1549:
1548:
1528:
1522:
1521:
1519:
1517:
1494:
1488:
1487:
1467:
1461:
1460:
1458:
1456:
1439:Fractal Surfaces
1433:
1427:
1426:
1424:
1422:
1399:
1393:
1392:
1376:
1366:
1360:
1359:
1357:
1345:
1339:
1338:
1336:
1324:
1313:
1312:
1310:
1308:
1292:
1286:
1285:
1283:
1281:
1265:
1259:
1258:
1256:
1254:
1239:
1233:
1232:
1230:
1228:
1213:
1207:
1206:
1204:
1202:
1179:
1173:
1172:
1170:
1168:
1160:Tom Van Cutsem.
1157:
1151:
1150:
1130:
1124:
1123:
1121:
1119:
1104:
1095:
1094:
1092:
1090:
1067:
1061:
1060:
1058:
1056:
1040:
1034:
1033:
1013:
1004:
1003:
1001:
999:
974:
968:
967:
965:
963:
940:
909:
904:
903:
895:
890:
889:
788:Kalles Fraktaler
672:butterfly effect
601:
600:
585:
584:
567:
566:
550:
549:
533:
532:
530:creation tools.
169:'s pursuit of a
59:fractals for art
40:pure mathematics
6565:
6564:
6560:
6559:
6558:
6556:
6555:
6554:
6525:
6524:
6523:
6518:
6489:EVA Conferences
6462:and conferences
6461:
6455:
6411:
6290:Notable artists
6285:
6276:Texture mapping
6241:Motion graphics
6231:Interactive art
6161:Digital imaging
6105:
6079:
6022:
6017:
5987:
5982:
5973:
5944:
5925:Word processing
5833:
5819:Virtual reality
5780:
5742:
5713:Computer vision
5689:
5685:Multiprocessing
5651:
5613:
5579:Security hacker
5555:
5531:Digital library
5472:
5423:Mathematics of
5418:
5380:
5356:Automata theory
5351:Formal language
5325:
5291:Software design
5262:
5195:
5181:Virtual machine
5159:
5155:Network service
5116:
5107:Embedded system
5080:
5013:
5002:
4997:
4967:
4962:
4958:Information art
4898:Imaging science
4843:
4833:
4814:Fernanda Viégas
4809:Moritz Stefaner
4734:Jessica Hullman
4707:
4678:Alan MacEachren
4628:Ben Shneiderman
4571:
4525:
4449:
4348:
4310:
4223:
4217:
4168:Medical imaging
4111:
4105:
4075:
4070:
4050:
4046:Sacred geometry
4019:
3985:Ars Mathematica
3973:
3923:
3834:
3787:
3774:Andrea Palladio
3670:
3663:De architectura
3622:
3578:Antoine Pevsner
3558:Jeanette McLeod
3509:Susan Goldstine
3458:
3317:
3311:
3248:
3234:Sagrada FamĂlia
3195:
3137:
3005:Algorithmic art
2993:
2984:
2980:Wallpaper group
2918:Minimal surface
2881:
2876:
2846:
2841:
2772:
2723:Felix Hausdorff
2696:
2660:Brownian motion
2645:
2616:
2539:
2532:
2502:
2484:
2475:Pythagoras tree
2332:
2325:
2321:Self-similarity
2265:Characteristics
2260:
2255:
2225:
2220:
2207:
2161:
2120:
2083:
2067:
2024:
2003:
1972:
1931:
1908:
1903:
1856:
1851:
1841:
1839:
1834:
1833:
1829:
1819:
1817:
1813:
1812:
1808:
1798:
1796:
1792:
1791:
1787:
1777:
1775:
1774:on 6 March 2020
1766:
1765:
1761:
1751:
1749:
1744:
1743:
1739:
1729:
1727:
1722:
1721:
1717:
1707:
1705:
1695:
1691:
1681:
1679:
1669:
1665:
1655:
1653:
1648:
1647:
1643:
1633:
1631:
1620:
1616:
1606:
1604:
1600:
1599:
1595:
1585:
1583:
1578:
1577:
1573:
1563:
1561:
1557:
1556:
1552:
1529:
1525:
1515:
1513:
1511:
1495:
1491:
1468:
1464:
1454:
1452:
1450:
1434:
1430:
1420:
1418:
1416:
1400:
1396:
1389:
1367:
1363:
1346:
1342:
1334:10.1.1.393.9370
1325:
1316:
1306:
1304:
1293:
1289:
1279:
1277:
1266:
1262:
1252:
1250:
1241:
1240:
1236:
1226:
1224:
1215:
1214:
1210:
1200:
1198:
1196:
1180:
1176:
1166:
1164:
1158:
1154:
1147:
1131:
1127:
1117:
1115:
1105:
1098:
1088:
1086:
1084:
1068:
1064:
1054:
1052:
1041:
1037:
1014:
1007:
997:
995:
993:
975:
971:
961:
959:
957:
941:
937:
933:
905:
898:
891:
884:
881:
831:fractal terrain
696:self-similarity
670:Because of the
657:
598:
582:
575:Loren Carpenter
564:
547:
430:
418:Pickover stalks
414:Newton fractals
398:Brownian motion
343:transformations
304:level of detail
269:
199:Loren Carpenter
160:Pythagoras tree
126:
94:self-similarity
92:display strict
30:is any type of
12:
11:
5:
6563:
6553:
6552:
6547:
6542:
6537:
6520:
6519:
6517:
6516:
6511:
6506:
6501:
6496:
6491:
6486:
6481:
6476:
6471:
6465:
6463:
6457:
6456:
6454:
6453:
6446:
6439:
6436:Jesus Dress Up
6432:
6427:
6419:
6417:
6413:
6412:
6410:
6409:
6404:
6399:
6394:
6389:
6384:
6379:
6374:
6369:
6364:
6359:
6357:Margot Lovejoy
6354:
6349:
6344:
6339:
6334:
6329:
6324:
6319:
6314:
6309:
6304:
6299:
6293:
6291:
6287:
6286:
6284:
6283:
6278:
6273:
6268:
6263:
6258:
6253:
6248:
6243:
6238:
6233:
6228:
6223:
6218:
6213:
6208:
6203:
6201:Generative art
6198:
6193:
6188:
6183:
6178:
6176:Digital poetry
6173:
6168:
6163:
6158:
6153:
6148:
6143:
6141:Computer music
6138:
6133:
6128:
6123:
6117:
6115:
6111:
6110:
6107:
6106:
6104:
6103:
6098:
6093:
6087:
6085:
6081:
6080:
6078:
6077:
6072:
6067:
6066:
6065:
6060:
6059:
6058:
6048:
6037:
6035:
6028:
6024:
6023:
6016:
6015:
6008:
6001:
5993:
5984:
5983:
5981:
5980:
5970:
5960:
5949:
5946:
5945:
5943:
5942:
5937:
5932:
5927:
5922:
5917:
5912:
5907:
5902:
5897:
5892:
5887:
5882:
5877:
5872:
5867:
5862:
5857:
5852:
5847:
5841:
5839:
5835:
5834:
5832:
5831:
5829:Solid modeling
5826:
5821:
5816:
5811:
5806:
5801:
5796:
5790:
5788:
5782:
5781:
5779:
5778:
5773:
5768:
5763:
5758:
5752:
5750:
5744:
5743:
5741:
5740:
5735:
5730:
5728:Control method
5725:
5720:
5715:
5710:
5705:
5699:
5697:
5691:
5690:
5688:
5687:
5682:
5680:Multithreading
5677:
5672:
5667:
5661:
5659:
5653:
5652:
5650:
5649:
5644:
5639:
5634:
5629:
5623:
5621:
5615:
5614:
5612:
5611:
5606:
5601:
5596:
5591:
5586:
5581:
5576:
5574:Formal methods
5571:
5565:
5563:
5557:
5556:
5554:
5553:
5548:
5546:World Wide Web
5543:
5538:
5533:
5528:
5523:
5518:
5513:
5508:
5503:
5498:
5493:
5488:
5482:
5480:
5474:
5473:
5471:
5470:
5465:
5460:
5455:
5450:
5445:
5440:
5435:
5429:
5427:
5420:
5419:
5417:
5416:
5411:
5406:
5401:
5396:
5390:
5388:
5382:
5381:
5379:
5378:
5373:
5368:
5363:
5358:
5353:
5348:
5347:
5346:
5335:
5333:
5327:
5326:
5324:
5323:
5318:
5313:
5308:
5303:
5298:
5293:
5288:
5283:
5278:
5272:
5270:
5264:
5263:
5261:
5260:
5255:
5250:
5245:
5240:
5235:
5230:
5225:
5220:
5215:
5209:
5207:
5197:
5196:
5194:
5193:
5188:
5183:
5178:
5173:
5167:
5165:
5161:
5160:
5158:
5157:
5152:
5147:
5142:
5137:
5132:
5126:
5124:
5118:
5117:
5115:
5114:
5109:
5104:
5099:
5094:
5088:
5086:
5082:
5081:
5079:
5078:
5069:
5064:
5059:
5054:
5049:
5044:
5039:
5034:
5029:
5023:
5021:
5015:
5014:
5007:
5004:
5003:
4996:
4995:
4988:
4981:
4973:
4964:
4963:
4961:
4960:
4955:
4950:
4945:
4940:
4935:
4930:
4925:
4923:Patent drawing
4920:
4915:
4910:
4905:
4900:
4895:
4890:
4888:Graphic design
4885:
4880:
4875:
4874:
4873:
4863:
4858:
4853:
4847:
4845:
4839:
4838:
4835:
4834:
4832:
4831:
4829:Hadley Wickham
4826:
4821:
4816:
4811:
4806:
4801:
4796:
4791:
4786:
4784:Tamara Munzner
4781:
4776:
4771:
4766:
4761:
4756:
4751:
4746:
4741:
4736:
4731:
4726:
4721:
4715:
4713:
4709:
4708:
4706:
4705:
4700:
4695:
4690:
4685:
4683:David Goodsell
4680:
4675:
4670:
4668:Cynthia Brewer
4665:
4660:
4655:
4650:
4645:
4640:
4635:
4630:
4625:
4620:
4615:
4610:
4605:
4600:
4595:
4590:
4585:
4579:
4577:
4573:
4572:
4570:
4569:
4564:
4562:Edgar Anderson
4559:
4554:
4549:
4544:
4539:
4537:Jacques Bertin
4533:
4531:
4527:
4526:
4524:
4523:
4518:
4513:
4508:
4503:
4498:
4493:
4491:John B. Peddle
4488:
4483:
4478:
4473:
4468:
4463:
4457:
4455:
4451:
4450:
4448:
4447:
4445:Francis Galton
4442:
4440:Toussaint Loua
4437:
4432:
4427:
4422:
4420:Georg von Mayr
4417:
4412:
4410:Matthew Sankey
4407:
4402:
4397:
4392:
4387:
4382:
4377:
4372:
4367:
4362:
4356:
4354:
4350:
4349:
4347:
4346:
4341:
4336:
4331:
4325:
4323:
4316:
4312:
4311:
4309:
4308:
4303:
4298:
4293:
4288:
4283:
4278:
4276:Sankey diagram
4273:
4268:
4263:
4258:
4253:
4248:
4243:
4238:
4233:
4227:
4225:
4219:
4218:
4216:
4215:
4210:
4208:Visual culture
4205:
4200:
4195:
4190:
4185:
4180:
4175:
4170:
4165:
4160:
4155:
4150:
4145:
4140:
4135:
4130:
4125:
4119:
4117:
4113:
4112:
4104:
4103:
4096:
4089:
4081:
4072:
4071:
4069:
4068:
4055:
4052:
4051:
4049:
4048:
4043:
4038:
4033:
4027:
4025:
4021:
4020:
4018:
4017:
4012:
4007:
4002:
3997:
3992:
3987:
3981:
3979:
3975:
3974:
3972:
3971:
3964:
3957:
3950:
3943:
3935:
3933:
3929:
3928:
3925:
3924:
3922:
3921:
3920:
3919:
3909:
3908:
3907:
3895:
3894:
3893:
3883:
3882:
3881:
3869:
3868:
3867:
3857:
3856:
3855:
3842:
3840:
3836:
3835:
3833:
3832:
3831:
3830:
3828:The Greek Vase
3820:
3819:
3818:
3808:
3807:
3806:
3795:
3793:
3789:
3788:
3786:
3785:
3784:
3783:
3771:
3770:
3769:
3759:
3758:
3757:
3750:Albrecht DĂĽrer
3747:
3746:
3745:
3733:
3732:
3731:
3719:
3718:
3717:
3705:
3704:
3703:
3696:
3684:
3678:
3676:
3672:
3671:
3669:
3668:
3667:
3666:
3654:
3653:
3652:
3641:
3639:
3632:
3628:
3627:
3624:
3623:
3621:
3620:
3615:
3613:Roman Verostko
3610:
3605:
3600:
3595:
3590:
3588:Alba Rojo Cama
3585:
3580:
3575:
3570:
3565:
3560:
3555:
3550:
3545:
3544:
3543:
3534:Charles Jencks
3531:
3526:
3521:
3519:George W. Hart
3516:
3511:
3506:
3501:
3496:
3491:
3486:
3481:
3472:
3466:
3464:
3460:
3459:
3457:
3456:
3451:
3450:
3449:
3442:
3430:
3429:
3428:
3416:
3415:
3414:
3407:
3400:
3393:
3386:
3374:
3369:
3364:
3363:
3362:
3355:
3346:Jean Metzinger
3343:
3342:
3341:
3334:
3321:
3319:
3313:
3312:
3310:
3309:
3308:
3307:
3295:
3293:Albrecht DĂĽrer
3290:
3289:
3288:
3276:
3271:
3265:
3263:
3256:
3250:
3249:
3247:
3246:
3241:
3236:
3231:
3226:
3221:
3216:
3211:
3205:
3203:
3197:
3196:
3194:
3193:
3186:
3179:
3172:
3165:
3158:
3151:
3145:
3143:
3139:
3138:
3136:
3135:
3130:
3125:
3120:
3119:
3118:
3108:
3103:
3102:
3101:
3096:
3091:
3081:
3080:
3079:
3074:
3069:
3064:
3054:
3049:
3044:
3039:
3034:
3033:
3032:
3027:
3022:
3012:
3010:Anamorphic art
3007:
3001:
2999:
2995:
2994:
2987:
2985:
2983:
2982:
2977:
2972:
2967:
2966:
2965:
2960:
2952:
2947:
2942:
2941:
2940:
2938:Camera obscura
2935:
2925:
2920:
2915:
2910:
2905:
2900:
2895:
2889:
2887:
2883:
2882:
2875:
2874:
2867:
2860:
2852:
2843:
2842:
2840:
2839:
2834:
2829:
2821:
2813:
2805:
2800:
2795:
2794:
2793:
2780:
2778:
2774:
2773:
2771:
2770:
2765:
2760:
2755:
2750:
2745:
2740:
2738:Helge von Koch
2735:
2730:
2725:
2720:
2715:
2710:
2704:
2702:
2698:
2697:
2695:
2694:
2689:
2684:
2679:
2674:
2673:
2672:
2670:Brownian motor
2667:
2656:
2654:
2647:
2646:
2644:
2643:
2641:Pickover stalk
2638:
2633:
2627:
2625:
2618:
2617:
2615:
2614:
2609:
2604:
2599:
2597:Newton fractal
2594:
2589:
2588:
2587:
2580:Mandelbrot set
2577:
2572:
2571:
2570:
2565:
2563:Newton fractal
2560:
2550:
2544:
2542:
2534:
2533:
2531:
2530:
2529:
2528:
2518:
2516:Fractal canopy
2512:
2510:
2504:
2503:
2501:
2500:
2494:
2492:
2486:
2485:
2483:
2482:
2477:
2472:
2467:
2462:
2460:Vicsek fractal
2457:
2452:
2447:
2442:
2441:
2440:
2435:
2430:
2425:
2420:
2415:
2410:
2405:
2400:
2399:
2398:
2388:
2378:
2376:Fibonacci word
2373:
2368:
2363:
2358:
2353:
2351:Koch snowflake
2348:
2343:
2337:
2335:
2327:
2326:
2324:
2323:
2318:
2313:
2312:
2311:
2306:
2301:
2296:
2291:
2290:
2289:
2279:
2268:
2266:
2262:
2261:
2254:
2253:
2246:
2239:
2231:
2222:
2221:
2219:
2218:
2212:
2209:
2208:
2206:
2205:
2200:
2195:
2190:
2185:
2180:
2175:
2169:
2167:
2163:
2162:
2160:
2159:
2154:
2152:Mandelbrot set
2149:
2144:
2139:
2137:Jerusalem cube
2134:
2128:
2126:
2122:
2121:
2119:
2118:
2113:
2108:
2103:
2097:
2095:
2089:
2088:
2085:
2084:
2082:
2081:
2075:
2073:
2069:
2068:
2066:
2065:
2060:
2055:
2050:
2045:
2039:
2037:
2036:Cross-platform
2030:
2026:
2025:
2023:
2022:
2017:
2011:
2009:
2005:
2004:
2002:
2001:
1996:
1991:
1986:
1984:Electric Sheep
1980:
1978:
1974:
1973:
1971:
1970:
1965:
1960:
1955:
1950:
1945:
1939:
1937:
1933:
1932:
1930:
1929:
1924:
1919:
1913:
1910:
1909:
1902:
1901:
1894:
1887:
1879:
1873:
1872:
1866:
1855:
1854:External links
1852:
1850:
1849:
1827:
1806:
1785:
1759:
1737:
1715:
1689:
1663:
1641:
1614:
1593:
1571:
1550:
1539:(3): 463–466.
1523:
1510:978-0883859711
1509:
1489:
1478:(3): 367–370.
1462:
1449:978-1489925787
1448:
1428:
1414:
1394:
1388:978-0671742171
1387:
1361:
1340:
1314:
1287:
1260:
1234:
1208:
1194:
1174:
1152:
1146:978-0143113454
1145:
1125:
1096:
1082:
1062:
1035:
1024:(5): 635–640.
1005:
991:
969:
956:978-0300197877
955:
934:
932:
929:
928:
927:
922:
917:
911:
910:
896:
880:
877:
857:
856:
850:
844:
834:
824:
818:
812:
806:
800:
791:
785:
779:
758:
751:Electric Sheep
748:
734:
725:
724:-based systems
656:
653:
610:
609:
594:
593:
578:
577:
560:
559:
555:
554:
543:
542:
538:
537:
536:External media
429:
426:
374:chaotic mixing
355:complex images
317:Colour banding
310:. The maximum
268:
265:
125:
122:
9:
6:
4:
3:
2:
6562:
6551:
6550:1979 software
6548:
6546:
6543:
6541:
6538:
6536:
6533:
6532:
6530:
6515:
6512:
6510:
6507:
6505:
6502:
6500:
6497:
6495:
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6490:
6487:
6485:
6482:
6480:
6477:
6475:
6472:
6470:
6467:
6466:
6464:
6460:Organizations
6458:
6452:
6451:
6447:
6445:
6444:
6440:
6438:
6437:
6433:
6431:
6430:Barnsley fern
6428:
6426:
6425:
6421:
6420:
6418:
6414:
6408:
6405:
6403:
6400:
6398:
6395:
6393:
6390:
6388:
6385:
6383:
6380:
6378:
6377:Trevor Paglen
6375:
6373:
6370:
6368:
6367:Eric Millikin
6365:
6363:
6362:Mauro Martino
6360:
6358:
6355:
6353:
6350:
6348:
6345:
6343:
6340:
6338:
6335:
6333:
6330:
6328:
6325:
6323:
6320:
6318:
6315:
6313:
6310:
6308:
6307:Sougwen Chung
6305:
6303:
6302:Cory Arcangel
6300:
6298:
6295:
6294:
6292:
6288:
6282:
6279:
6277:
6274:
6272:
6269:
6267:
6264:
6262:
6259:
6257:
6254:
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6249:
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6244:
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6239:
6237:
6234:
6232:
6229:
6227:
6224:
6222:
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6217:
6214:
6212:
6209:
6207:
6204:
6202:
6199:
6197:
6194:
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6189:
6187:
6184:
6182:
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6177:
6174:
6172:
6169:
6167:
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6162:
6159:
6157:
6154:
6152:
6149:
6147:
6144:
6142:
6139:
6137:
6134:
6132:
6129:
6127:
6124:
6122:
6119:
6118:
6116:
6112:
6102:
6099:
6097:
6094:
6092:
6089:
6088:
6086:
6082:
6076:
6073:
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6068:
6064:
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6057:
6054:
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6049:
6047:
6044:
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6042:
6039:
6038:
6036:
6032:
6029:
6025:
6021:
6014:
6009:
6007:
6002:
6000:
5995:
5994:
5991:
5979:
5971:
5969:
5961:
5959:
5951:
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5947:
5941:
5938:
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5928:
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5916:
5913:
5911:
5908:
5906:
5903:
5901:
5898:
5896:
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5891:
5888:
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5881:
5878:
5876:
5873:
5871:
5868:
5866:
5863:
5861:
5858:
5856:
5853:
5851:
5848:
5846:
5843:
5842:
5840:
5836:
5830:
5827:
5825:
5822:
5820:
5817:
5815:
5814:Mixed reality
5812:
5810:
5807:
5805:
5802:
5800:
5797:
5795:
5792:
5791:
5789:
5787:
5783:
5777:
5774:
5772:
5769:
5767:
5764:
5762:
5759:
5757:
5754:
5753:
5751:
5749:
5745:
5739:
5736:
5734:
5731:
5729:
5726:
5724:
5721:
5719:
5716:
5714:
5711:
5709:
5706:
5704:
5701:
5700:
5698:
5696:
5692:
5686:
5683:
5681:
5678:
5676:
5673:
5671:
5668:
5666:
5663:
5662:
5660:
5658:
5654:
5648:
5647:Accessibility
5645:
5643:
5642:Visualization
5640:
5638:
5635:
5633:
5630:
5628:
5625:
5624:
5622:
5620:
5616:
5610:
5607:
5605:
5602:
5600:
5597:
5595:
5592:
5590:
5587:
5585:
5582:
5580:
5577:
5575:
5572:
5570:
5567:
5566:
5564:
5562:
5558:
5552:
5549:
5547:
5544:
5542:
5539:
5537:
5534:
5532:
5529:
5527:
5524:
5522:
5519:
5517:
5514:
5512:
5509:
5507:
5504:
5502:
5499:
5497:
5494:
5492:
5489:
5487:
5484:
5483:
5481:
5479:
5475:
5469:
5466:
5464:
5461:
5459:
5456:
5454:
5451:
5449:
5446:
5444:
5441:
5439:
5436:
5434:
5431:
5430:
5428:
5426:
5421:
5415:
5412:
5410:
5407:
5405:
5402:
5400:
5397:
5395:
5392:
5391:
5389:
5387:
5383:
5377:
5374:
5372:
5369:
5367:
5364:
5362:
5359:
5357:
5354:
5352:
5349:
5345:
5342:
5341:
5340:
5337:
5336:
5334:
5332:
5328:
5322:
5319:
5317:
5314:
5312:
5309:
5307:
5304:
5302:
5299:
5297:
5294:
5292:
5289:
5287:
5284:
5282:
5279:
5277:
5274:
5273:
5271:
5269:
5265:
5259:
5256:
5254:
5251:
5249:
5246:
5244:
5241:
5239:
5236:
5234:
5231:
5229:
5226:
5224:
5221:
5219:
5216:
5214:
5211:
5210:
5208:
5206:
5202:
5198:
5192:
5189:
5187:
5184:
5182:
5179:
5177:
5174:
5172:
5169:
5168:
5166:
5162:
5156:
5153:
5151:
5148:
5146:
5143:
5141:
5138:
5136:
5133:
5131:
5128:
5127:
5125:
5123:
5119:
5113:
5110:
5108:
5105:
5103:
5102:Dependability
5100:
5098:
5095:
5093:
5090:
5089:
5087:
5083:
5077:
5073:
5070:
5068:
5065:
5063:
5060:
5058:
5055:
5053:
5050:
5048:
5045:
5043:
5040:
5038:
5035:
5033:
5030:
5028:
5025:
5024:
5022:
5020:
5016:
5011:
5005:
5001:
4994:
4989:
4987:
4982:
4980:
4975:
4974:
4971:
4959:
4956:
4954:
4951:
4949:
4946:
4944:
4941:
4939:
4936:
4934:
4931:
4929:
4926:
4924:
4921:
4919:
4916:
4914:
4911:
4909:
4906:
4904:
4901:
4899:
4896:
4894:
4891:
4889:
4886:
4884:
4883:Graph drawing
4881:
4879:
4876:
4872:
4869:
4868:
4867:
4864:
4862:
4859:
4857:
4854:
4852:
4849:
4848:
4846:
4840:
4830:
4827:
4825:
4822:
4820:
4817:
4815:
4812:
4810:
4807:
4805:
4804:Claudio Silva
4802:
4800:
4797:
4795:
4792:
4790:
4787:
4785:
4782:
4780:
4777:
4775:
4772:
4770:
4769:Mauro Martino
4767:
4765:
4762:
4760:
4757:
4755:
4752:
4750:
4747:
4745:
4742:
4740:
4737:
4735:
4732:
4730:
4727:
4725:
4722:
4720:
4717:
4716:
4714:
4710:
4704:
4701:
4699:
4696:
4694:
4693:Michael Maltz
4691:
4689:
4686:
4684:
4681:
4679:
4676:
4674:
4671:
4669:
4666:
4664:
4661:
4659:
4658:George Furnas
4656:
4654:
4651:
4649:
4646:
4644:
4641:
4639:
4638:Howard Wainer
4636:
4634:
4631:
4629:
4626:
4624:
4621:
4619:
4616:
4614:
4611:
4609:
4606:
4604:
4601:
4599:
4596:
4594:
4591:
4589:
4586:
4584:
4581:
4580:
4578:
4574:
4568:
4565:
4563:
4560:
4558:
4555:
4553:
4550:
4548:
4545:
4543:
4542:Rudolf Modley
4540:
4538:
4535:
4534:
4532:
4528:
4522:
4519:
4517:
4514:
4512:
4509:
4507:
4506:Max O. Lorenz
4504:
4502:
4499:
4497:
4494:
4492:
4489:
4487:
4484:
4482:
4479:
4477:
4474:
4472:
4469:
4467:
4464:
4462:
4459:
4458:
4456:
4452:
4446:
4443:
4441:
4438:
4436:
4433:
4431:
4428:
4426:
4423:
4421:
4418:
4416:
4415:Charles Booth
4413:
4411:
4408:
4406:
4403:
4401:
4398:
4396:
4393:
4391:
4390:Luigi Perozzo
4388:
4386:
4383:
4381:
4380:August Kekulé
4378:
4376:
4373:
4371:
4368:
4366:
4363:
4361:
4360:Charles Dupin
4358:
4357:
4355:
4351:
4345:
4344:Gaspard Monge
4342:
4340:
4337:
4335:
4332:
4330:
4329:Edmond Halley
4327:
4326:
4324:
4320:
4317:
4313:
4307:
4304:
4302:
4299:
4297:
4294:
4292:
4289:
4287:
4284:
4282:
4279:
4277:
4274:
4272:
4269:
4267:
4264:
4262:
4259:
4257:
4254:
4252:
4249:
4247:
4244:
4242:
4239:
4237:
4234:
4232:
4229:
4228:
4226:
4220:
4214:
4211:
4209:
4206:
4204:
4201:
4199:
4196:
4194:
4191:
4189:
4186:
4184:
4181:
4179:
4176:
4174:
4171:
4169:
4166:
4164:
4161:
4159:
4156:
4154:
4151:
4149:
4146:
4144:
4141:
4139:
4136:
4134:
4133:Crime mapping
4131:
4129:
4126:
4124:
4121:
4120:
4118:
4114:
4109:
4108:Visualization
4102:
4097:
4095:
4090:
4088:
4083:
4082:
4079:
4067:
4066:
4057:
4056:
4053:
4047:
4044:
4042:
4039:
4037:
4034:
4032:
4031:Droste effect
4029:
4028:
4026:
4022:
4016:
4013:
4011:
4010:Mathemalchemy
4008:
4006:
4003:
4001:
3998:
3996:
3993:
3991:
3988:
3986:
3983:
3982:
3980:
3978:Organizations
3976:
3970:
3969:
3965:
3963:
3962:
3958:
3956:
3955:
3951:
3949:
3948:
3947:Lumen Naturae
3944:
3942:
3941:
3937:
3936:
3934:
3930:
3918:
3915:
3914:
3913:
3910:
3906:
3905:
3901:
3900:
3899:
3896:
3892:
3889:
3888:
3887:
3884:
3880:
3879:
3875:
3874:
3873:
3870:
3866:
3863:
3862:
3861:
3858:
3854:
3853:
3849:
3848:
3847:
3844:
3843:
3841:
3837:
3829:
3826:
3825:
3824:
3821:
3817:
3814:
3813:
3812:
3809:
3805:
3802:
3801:
3800:
3799:Samuel Colman
3797:
3796:
3794:
3790:
3782:
3781:
3777:
3776:
3775:
3772:
3768:
3765:
3764:
3763:
3760:
3756:
3753:
3752:
3751:
3748:
3744:
3743:
3739:
3738:
3737:
3734:
3730:
3729:
3725:
3724:
3723:
3720:
3716:
3715:
3711:
3710:
3709:
3706:
3702:
3701:
3697:
3695:
3694:
3690:
3689:
3688:
3685:
3683:
3680:
3679:
3677:
3673:
3665:
3664:
3660:
3659:
3658:
3655:
3651:
3648:
3647:
3646:
3643:
3642:
3640:
3636:
3633:
3629:
3619:
3616:
3614:
3611:
3609:
3608:Daina Taimiņa
3606:
3604:
3601:
3599:
3596:
3594:
3593:Reza Sarhangi
3591:
3589:
3586:
3584:
3581:
3579:
3576:
3574:
3571:
3569:
3566:
3564:
3561:
3559:
3556:
3554:
3551:
3549:
3546:
3542:
3541:
3537:
3536:
3535:
3532:
3530:
3527:
3525:
3522:
3520:
3517:
3515:
3512:
3510:
3507:
3505:
3504:Peter Forakis
3502:
3500:
3497:
3495:
3492:
3490:
3487:
3485:
3482:
3480:
3476:
3473:
3471:
3468:
3467:
3465:
3461:
3455:
3452:
3448:
3447:
3443:
3441:
3440:
3436:
3435:
3434:
3433:Salvador DalĂ
3431:
3427:
3426:
3422:
3421:
3420:
3419:René Magritte
3417:
3413:
3412:
3408:
3406:
3405:
3401:
3399:
3398:
3394:
3392:
3391:
3390:Print Gallery
3387:
3385:
3384:
3380:
3379:
3378:
3375:
3373:
3370:
3368:
3365:
3361:
3360:
3359:L'Oiseau bleu
3356:
3354:
3353:
3349:
3348:
3347:
3344:
3340:
3339:
3335:
3333:
3332:
3328:
3327:
3326:
3325:William Blake
3323:
3322:
3320:
3314:
3306:
3305:
3301:
3300:
3299:
3296:
3294:
3291:
3287:
3286:
3285:Vitruvian Man
3282:
3281:
3280:
3277:
3275:
3272:
3270:
3269:Paolo Uccello
3267:
3266:
3264:
3260:
3257:
3255:
3251:
3245:
3242:
3240:
3237:
3235:
3232:
3230:
3227:
3225:
3222:
3220:
3217:
3215:
3212:
3210:
3207:
3206:
3204:
3202:
3198:
3192:
3191:
3190:Pi in the Sky
3187:
3185:
3184:
3180:
3178:
3177:
3173:
3171:
3170:
3166:
3164:
3163:
3162:Mathemalchemy
3159:
3157:
3156:
3152:
3150:
3147:
3146:
3144:
3140:
3134:
3131:
3129:
3126:
3124:
3121:
3117:
3114:
3113:
3112:
3109:
3107:
3104:
3100:
3097:
3095:
3092:
3090:
3087:
3086:
3085:
3082:
3078:
3075:
3073:
3070:
3068:
3065:
3063:
3060:
3059:
3058:
3055:
3053:
3050:
3048:
3045:
3043:
3040:
3038:
3035:
3031:
3030:Vastu shastra
3028:
3026:
3023:
3021:
3020:Geodesic dome
3018:
3017:
3016:
3013:
3011:
3008:
3006:
3003:
3002:
3000:
2996:
2991:
2981:
2978:
2976:
2973:
2971:
2968:
2964:
2961:
2959:
2956:
2955:
2953:
2951:
2948:
2946:
2945:Plastic ratio
2943:
2939:
2936:
2934:
2933:Camera lucida
2931:
2930:
2929:
2926:
2924:
2921:
2919:
2916:
2914:
2911:
2909:
2906:
2904:
2901:
2899:
2896:
2894:
2891:
2890:
2888:
2884:
2880:
2873:
2868:
2866:
2861:
2859:
2854:
2853:
2850:
2838:
2835:
2833:
2830:
2827:
2826:
2822:
2819:
2818:
2814:
2811:
2810:
2806:
2804:
2801:
2799:
2796:
2792:
2789:
2788:
2786:
2782:
2781:
2779:
2775:
2769:
2766:
2764:
2761:
2759:
2756:
2754:
2751:
2749:
2746:
2744:
2741:
2739:
2736:
2734:
2731:
2729:
2726:
2724:
2721:
2719:
2716:
2714:
2711:
2709:
2706:
2705:
2703:
2699:
2693:
2690:
2688:
2685:
2683:
2680:
2678:
2675:
2671:
2668:
2666:
2665:Brownian tree
2663:
2662:
2661:
2658:
2657:
2655:
2652:
2648:
2642:
2639:
2637:
2634:
2632:
2629:
2628:
2626:
2623:
2619:
2613:
2610:
2608:
2605:
2603:
2600:
2598:
2595:
2593:
2592:Multibrot set
2590:
2586:
2583:
2582:
2581:
2578:
2576:
2573:
2569:
2568:Douady rabbit
2566:
2564:
2561:
2559:
2556:
2555:
2554:
2551:
2549:
2546:
2545:
2543:
2541:
2535:
2527:
2524:
2523:
2522:
2519:
2517:
2514:
2513:
2511:
2509:
2505:
2499:
2496:
2495:
2493:
2491:
2487:
2481:
2478:
2476:
2473:
2471:
2468:
2466:
2463:
2461:
2458:
2456:
2453:
2451:
2448:
2446:
2443:
2439:
2438:Z-order curve
2436:
2434:
2431:
2429:
2426:
2424:
2421:
2419:
2416:
2414:
2411:
2409:
2408:Hilbert curve
2406:
2404:
2401:
2397:
2394:
2393:
2392:
2391:De Rham curve
2389:
2387:
2384:
2383:
2382:
2379:
2377:
2374:
2372:
2369:
2367:
2364:
2362:
2359:
2357:
2356:Menger sponge
2354:
2352:
2349:
2347:
2344:
2342:
2341:Barnsley fern
2339:
2338:
2336:
2334:
2328:
2322:
2319:
2317:
2314:
2310:
2307:
2305:
2302:
2300:
2297:
2295:
2292:
2288:
2285:
2284:
2283:
2280:
2278:
2275:
2274:
2273:
2270:
2269:
2267:
2263:
2259:
2252:
2247:
2245:
2240:
2238:
2233:
2232:
2229:
2217:
2214:
2213:
2210:
2204:
2201:
2199:
2196:
2194:
2191:
2189:
2188:Fractal flame
2186:
2184:
2181:
2179:
2176:
2174:
2171:
2170:
2168:
2164:
2158:
2155:
2153:
2150:
2148:
2145:
2143:
2140:
2138:
2135:
2133:
2130:
2129:
2127:
2125:Found objects
2123:
2117:
2114:
2112:
2109:
2107:
2104:
2102:
2099:
2098:
2096:
2094:
2090:
2080:
2077:
2076:
2074:
2070:
2064:
2061:
2059:
2058:Ultra Fractal
2056:
2054:
2051:
2049:
2046:
2044:
2041:
2040:
2038:
2034:
2031:
2027:
2021:
2018:
2016:
2013:
2012:
2010:
2006:
2000:
1997:
1995:
1992:
1990:
1987:
1985:
1982:
1981:
1979:
1975:
1969:
1966:
1964:
1961:
1959:
1956:
1954:
1951:
1949:
1946:
1944:
1941:
1940:
1938:
1934:
1928:
1925:
1923:
1920:
1918:
1915:
1914:
1911:
1907:
1900:
1895:
1893:
1888:
1886:
1881:
1880:
1877:
1870:
1867:
1865:
1861:
1858:
1857:
1837:
1831:
1816:
1810:
1795:
1789:
1773:
1769:
1768:"Gnofract 4D"
1763:
1747:
1741:
1725:
1719:
1704:
1700:
1693:
1678:
1677:Linux Journal
1674:
1667:
1651:
1645:
1629:
1625:
1618:
1603:
1597:
1582:. subblue.com
1581:
1580:"Fractal Lab"
1575:
1560:
1554:
1546:
1542:
1538:
1534:
1527:
1512:
1506:
1502:
1501:
1493:
1485:
1481:
1477:
1473:
1466:
1451:
1445:
1441:
1440:
1432:
1417:
1415:9789814603744
1411:
1407:
1406:
1398:
1390:
1384:
1380:
1375:
1374:
1365:
1356:
1351:
1344:
1335:
1330:
1323:
1321:
1319:
1302:
1298:
1291:
1275:
1271:
1264:
1248:
1244:
1238:
1222:
1218:
1212:
1197:
1195:9783110250077
1191:
1187:
1186:
1178:
1163:
1156:
1148:
1142:
1138:
1137:
1129:
1114:
1110:
1103:
1101:
1085:
1083:9783642399589
1079:
1075:
1074:
1066:
1050:
1046:
1039:
1031:
1027:
1023:
1019:
1012:
1010:
994:
992:9783642956782
988:
984:
980:
973:
958:
952:
948:
947:
939:
935:
926:
923:
921:
918:
916:
913:
912:
908:
902:
897:
894:
888:
883:
876:
872:
870:
866:
862:
854:
851:
848:
845:
842:
838:
837:Ultra Fractal
835:
832:
828:
825:
822:
819:
816:
813:
810:
807:
804:
801:
799:
795:
792:
789:
786:
783:
780:
777:
773:
769:
766:
762:
759:
756:
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6266:Software art
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5569:Cryptography
4918:Neuroimaging
4878:CPK coloring
4861:Color coding
4799:Hans Rosling
4779:Miriah Meyer
4744:Aaron Koblin
4729:Jeffrey Heer
4623:Edward Tufte
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3816:Ad Quadratum
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3015:Architecture
2975:Tessellation
2958:Architecture
2908:Golden ratio
2837:Chaos theory
2832:Kaleidoscope
2823:
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2733:Gaston Julia
2713:Georg Cantor
2538:Escape-time
2470:Gosper curve
2418:LĂ©vy C curve
2403:Dragon curve
2282:Box-counting
2072:Windows only
1905:
1840:. Retrieved
1830:
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1772:the original
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6499:Lumen Prize
6387:Anna Ridler
6317:Char Davies
6281:Virtual art
6271:Systems art
6196:Fractal art
6063:3D graphics
6051:2D graphics
6020:Digital art
5920:Video games
5900:Digital art
5657:Concurrency
5526:Data mining
5438:Probability
5171:Interpreter
4851:Cartography
4789:Ade Olufeko
4759:Manuel Lima
4688:Kwan-Liu Ma
4613:Stuart Card
4583:Borden Dent
4521:Erwin Raisz
4476:Henry Gantt
3872:G. H. Hardy
3675:Renaissance
3645:Polykleitos
3583:Tony Robbin
3494:John Ernest
3489:Jan Dibbets
3439:Crucifixion
3262:Renaissance
3116:Mathematics
3089:Celtic knot
3052:Fractal art
2954:Proportion
2928:Perspective
2828:(1987 book)
2820:(1986 book)
2812:(1982 book)
2798:Fractal art
2718:Bill Gosper
2682:LĂ©vy flight
2428:Peano curve
2423:Moore curve
2309:Topological
2294:Correlation
1936:Open-source
1927:Fractal art
1917:Digital art
1307:29 December
1303:. AcornUser
1280:29 December
1276:. AcornUser
1253:29 December
1051:. Vox Media
865:mandelboxes
861:mandelbulbs
841:proprietary
772:source code
718:open source
488:file format
361:direction.
90:Koch curves
65:is part of
6529:Categories
6504:onedotzero
6382:Casey Reas
6327:Jake Elwes
6261:Render art
6221:Glitch art
6146:Crypto art
6075:3D printer
5978:Glossaries
5850:E-commerce
5443:Statistics
5386:Algorithms
5344:Stochastic
5176:Middleware
5032:Peripheral
4774:John Maeda
4552:John Tukey
4516:Harry Beck
4511:Fritz Kahn
4261:Photograph
3846:Owen Jones
3693:De pictura
3598:Oliver Sin
3548:Andy Lomas
3397:Relativity
3128:String art
3042:Fiber arts
2923:Paraboloid
2636:Orbit trap
2631:Buddhabrot
2624:techniques
2612:Mandelbulb
2413:Koch curve
2346:Cantor set
2203:Orbit trap
2157:Mandelbulb
1815:"Fraqtive"
1746:"Incendia"
1355:1611.03079
931:References
925:Chaos game
869:animations
649:JavaScript
499:randomised
471:image zoom
382:heightmaps
378:Buddhabrot
351:stochastic
328:Koch curve
300:infinitely
207:Acorn User
183:Julia sets
156:Cantor set
103:software,
55:resolution
6469:Artfutura
6397:Karl Sims
6256:Pixel art
6226:Immersion
6151:Cyberarts
6131:ASCII art
5799:Rendering
5794:Animation
5425:computing
5376:Semantics
5067:Processor
4856:Chartjunk
4824:Bang Wong
4719:Polo Chau
4425:John Snow
4400:John Venn
4281:Schematic
4266:Pictogram
3657:Vitruvius
3631:Theorists
3411:Waterfall
3316:19th–20th
3244:Taj Mahal
3224:Parthenon
3201:Buildings
3155:Continuum
3123:Sculpture
3099:Interlace
2893:Algorithm
2743:Paul LĂ©vy
2622:Rendering
2607:Mandelbox
2553:Julia set
2465:Hexaflake
2396:Minkowski
2316:Recursion
2299:Hausdorff
2147:Mandelbox
2142:Julia set
1943:Apophysis
1628:PCAdvisor
1329:CiteSeerX
1049:The Verge
714:Apophysis
692:recursion
665:Julia set
624:Photoshop
570:Vol Libre
503:gradients
467:algorithm
406:L-systems
324:geometric
284:recursion
232:rendering
211:BBC BASIC
191:iteration
181:known as
120:devices.
114:demoscene
109:wallpaper
6535:Fractals
6509:SIGGRAPH
6474:Artmedia
6332:David Em
6121:Art game
6084:Software
6041:Computer
6034:Hardware
5958:Category
5786:Graphics
5561:Security
5223:Compiler
5122:Networks
5019:Hardware
4842:Related
4251:Ideogram
4065:Category
3792:Romantic
3470:Max Bill
3404:Reptiles
3219:Pantheon
3176:Octacube
3142:Artworks
3084:Knotting
3072:Muqarnas
2970:Symmetry
2898:Catenary
2886:Concepts
2653:fractals
2540:fractals
2508:L-system
2450:T-square
2258:Fractals
2216:Category
2116:VistaPro
2111:Terragen
2048:Chaotica
2015:Fractint
2008:Freeware
1994:openPlaG
1968:Sterling
1963:MilkDrop
1703:BetaNews
1630:. IDG UK
879:See also
875:images.
827:Terragen
821:Sterling
809:openPlaG
794:Milkdrop
768:freeware
761:Fractint
737:Chaotica
655:Programs
573:1980 by
519:lighting
507:layering
438:Chaotica
428:Features
357:through
277:L-system
203:SIGGRAPH
145:Fractint
63:modeling
49:through
36:fractals
6216:GIF art
5968:Outline
4724:Ben Fry
4236:Diagram
4024:Related
3638:Ancient
3372:Man Ray
3318:Century
3254:Artists
3111:Origami
3025:Pyramid
2903:Fractal
2602:Tricorn
2455:n-flake
2304:Packing
2287:Higuchi
2277:Assouad
2166:Related
2106:Picogen
2020:IFStile
1948:Blender
1842:5 March
1820:2 March
1799:2 March
1778:2 March
1752:7 March
1730:7 March
1708:5 March
1656:6 March
1634:5 March
1607:7 March
1586:5 March
1564:2 March
1227:5 March
1167:7 March
1055:5 March
815:Picogen
632:3ds Max
628:POV-Ray
620:Blender
607:POV-Ray
589:with a
332:pattern
267:Methods
124:History
88:Simple
67:realism
4844:topics
4315:People
4222:Image
4116:Fields
3839:Modern
3475:Martin
3338:Newton
3133:Tiling
3077:Zellij
3047:4D art
2701:People
2651:Random
2558:Filled
2526:H tree
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2333:system
2079:VisSim
2029:Retail
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1118:22 Jan
1080:
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798:Winamp
765:MS-DOS
745:Mac OS
541:Images
495:detail
376:. The
359:simple
296:pixels
179:shapes
173:for a
6114:Forms
6070:Xerox
6027:Tools
5371:Logic
5205:tools
4296:Table
4231:Chart
4224:types
3650:Canon
3106:Music
3062:Girih
2998:Forms
2963:Human
2777:Other
2053:Maple
2043:Bryce
1682:5 May
1516:7 May
1455:5 May
1421:5 May
1350:arXiv
1201:7 May
1089:7 May
998:7 May
962:5 May
776:Linux
741:Linux
728:Bryce
641:WebGL
558:Video
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5072:Size
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3067:Jali
1999:XaoS
1989:GIMP
1953:Fyre
1844:2017
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1309:2018
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1255:2018
1229:2017
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1120:2024
1091:2017
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987:ISBN
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951:ISBN
863:and
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829:– a
782:Fyre
743:and
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634:and
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479:TIFF
475:JPEG
449:GIMP
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107:and
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6046:CGI
4256:Map
1977:GNU
1862:at
1541:doi
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483:PNG
177:of
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