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Apophysis uses the
Scripter Studio scripting library to allow users to write scripts which run and either create a new flame, edit the existing flames, or do bigger tasks. One such instance is rendering an entire batch of fractals.
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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
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Since 2009, there is a version of
Apophysis called Apophysis 7X. Originally, it was targeting to provide support for modern Microsoft Windows operating systems like
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so that new variations can be independently developed and distributed. There are numerous plugins available from the various user communities.
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with direct access to most of the components of the fractal, which allows for effects such as the animations seen in
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to create
Apophysis. It has since been improved and updated by Peter Sdobnov, Piotr Borys, and Ronald Hordijk.
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simulation. In fact, Apophysis generates a probability measure, which is then colored according to some rule.
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The user specifies a set of mathematical functions. Each function is a composition of an
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in the early 90s. In 2001, Ronald
Hordijk translated his code into
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Viewpoints: Mathematical
Perspective and Fractal Geometry in Art
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There is a separate version of
Apophysis that supports
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Apophysis has many features for creating and editing
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56:. Unsourced material may be challenged and removed.
2587:The Drawing of Geometric Patterns in Saracenic Art
2722:Goudreau Museum of Mathematics in Art and Science
3820:
2838:Note: This template roughly follows the 2012
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2717:European Society for Mathematics and the Arts
1891:Mathematica: A World of Numbers... and Beyond
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1871:List of works designed with the golden ratio
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1931:Cathedral of Saint Mary of the Assumption
330:invented Fractal Flames and published an
116:Learn how and when to remove this message
16:Open Source fractal editor and generator
2477:Vier BĂĽcher von Menschlicher Proportion
1599:
1525:List of fractals by Hausdorff dimension
3849:Pascal (programming language) software
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3538:Knowledge representation and reasoning
3563:Philosophy of artificial intelligence
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952:
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547:"spot blog: Correcting Flame History"
2882:Energy consumption (Green computing)
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481:Free and open-source software portal
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153:2.09 / September 10, 2009
54:adding citations to reliable sources
25:
3568:Distributed artificial intelligence
2840:ACM Computing Classification System
2662:Journal of Mathematics and the Arts
183::/cvsroot/apophysis cvs://:pserver:
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3834:Free software programmed in Delphi
3073:Integrated development environment
2676:Making Mathematics with Needlework
14:
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3548:Automated planning and scheduling
3078:Software configuration management
2502:I quattro libri dell'architettura
1507:How Long Is the Coast of Britain?
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3196:Computational complexity theory
41:needs additional citations for
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2737:National Museum of Mathematics
2489:Regole generali d'architettura
1531:The Fractal Geometry of Nature
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375:iterated function system (IFS)
1:
3351:Multimedia information system
3336:Geographic information system
3326:Enterprise information system
2915:Computer systems organization
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3710:Computational social science
3298:Theoretical computer science
3111:Software development process
2887:Electronic design automation
2872:Very Large Scale Integration
2262:Garden of Cosmic Speculation
978:
398:Apophysis supports a plugin
7:
3533:Natural language processing
3321:Information storage systems
1547:Chaos: Making a New Science
494:Fractal-generating software
466:
342:and created a non-animated
10:
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3839:Windows-only free software
3449:Human–computer interaction
3419:Intrusion detection system
3331:Social information systems
3316:Database management system
1779:Islamic geometric patterns
920:Mathematical visualization
895:Computer-generated imagery
393:
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334:implementation written in
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241:GNU General Public License
21:Apophysis (disambiguation)
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3690:Computational mathematics
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2600:A Mathematician's Apology
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65:"Apophysis" software
3725:Computational healthcare
3720:Differentiable computing
3639:Graphics processing unit
3058:Domain-specific language
2927:Computational complexity
2712:The Bridges Organization
915:Iterated function system
348:graphical user interface
285:editor and renderer for
3700:Computational chemistry
3634:Photograph manipulation
3525:Artificial intelligence
3341:Decision support system
2574:The Grammar of Ornament
2526:Nature's Harmonic Unity
2436:De prospectiva pingendi
3829:Free graphics software
3765:Educational technology
3596:Reinforcement learning
3346:Process control system
3244:Computational geometry
3234:Algorithmic efficiency
3229:Analysis of algorithms
2877:Systems on Chip (SoCs)
2727:Institute For Figuring
2639:The 'Life' of a Carpet
2464:A Treatise on Painting
1539:The Beauty of Fractals
155:; 15 years ago
3735:Electronic publishing
3705:Computational biology
3695:Computational physics
3591:Unsupervised learning
3505:Distributed computing
3381:Information retrieval
3288:Mathematical analysis
3278:Mathematical software
3161:Theory of computation
3126:Software construction
3116:Requirements analysis
2994:Software organization
2922:Computer architecture
2892:Hardware acceleration
2857:Printed circuit board
2608:George David Birkhoff
2582:Ernest Hanbury Hankin
2450:De divina proportione
2430:Piero della Francesca
2409:Leon Battista Alberti
1996:Piero della Francesca
1635:Hyperboloid structure
3495:Concurrent computing
3467:Ubiquitous computing
3439:Application security
3434:Information security
3263:Discrete mathematics
3239:Randomized algorithm
3191:Computability theory
3169:Model of computation
3141:Software maintenance
3136:Software engineering
3098:Software development
3048:Programming language
3043:Programming paradigm
2960:Network architecture
2533:Frederik Macody Lund
2404:Filippo Brunelleschi
2285:Hamid Naderi Yeganeh
2147:La condition humaine
1485:Lewis Fry Richardson
1480:Hamid Naderi Yeganeh
1270:Burning Ship fractal
1202:Weierstrass function
854:Burning Ship fractal
588:Apophysis (software)
186::/cvsroot/apophysis]
50:improve this article
19:For other uses, see
3770:Document management
3760:Operations research
3685:Enterprise software
3601:Multi-task learning
3586:Supervised learning
3308:Information systems
3131:Software deployment
3088:Software repository
2942:Real-time computing
2758:Mathematical beauty
2683:Rhythm of Structure
2626:Gödel, Escher, Bach
2422:De re aedificatoria
2053:The Ancient of Days
1672:Projective geometry
1601:Mathematics and art
1243:Space-filling curve
1220:Multifractal system
1103:Space-filling curve
1088:Sierpinski triangle
900:Fractal compression
823:MojoWorld Generator
785:Wolfram Mathematica
130:
3553:Search methodology
3500:Parallel computing
3457:Interaction design
3366:Computing platform
3293:Numerical analysis
3283:Information theory
3068:Software framework
3031:Software notations
2970:Network components
2867:Integrated circuit
2763:Patterns in nature
2620:Douglas Hofstadter
2246:Desmond Paul Henry
2236:Bathsheba Grossman
2168:The Swallow's Tail
2089:Giorgio de Chirico
1961:Sydney Opera House
1816:Croatian interlace
1470:Aleksandr Lyapunov
1450:Desmond Paul Henry
1414:Self-avoiding walk
1409:Percolation theory
1053:Iterated function
994:Fractal dimensions
306:scripting language
128:
3816:
3815:
3745:Electronic voting
3675:Quantum Computing
3668:Applied computing
3654:Image compression
3424:Hardware security
3414:Security services
3371:Digital marketing
3151:Open-source model
3063:Modeling language
2975:Network scheduler
2796:
2795:
2649:
2648:
2613:Aesthetic Measure
2484:Sebastiano Serlio
2458:Leonardo da Vinci
2348:
2347:
2340:Margaret Wertheim
2001:Leonardo da Vinci
1567:
1566:
1513:Coastline paradox
1490:Wacław Sierpiński
1475:Benoit Mandelbrot
1399:Fractal landscape
1307:Misiurewicz point
1212:Strange attractor
1093:Apollonian gasket
1083:Sierpinski carpet
946:
945:
905:Fractal landscape
815:Scenery generator
809:
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644:Graphics software
365:Technical details
287:Microsoft Windows
273:
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216:Microsoft Windows
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3844:Fractal software
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3606:Cross-validation
3578:Machine learning
3462:Social computing
3429:Network security
3224:Algorithm design
3146:Programming team
3106:Control variable
3083:Software library
3021:Software quality
3016:Operating system
2965:Network protocol
2830:Computer science
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2634:Nikos Salingaros
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2325:Hiroshi Sugimoto
2275:Robert Longhurst
2221:Helaman Ferguson
2176:Crockett Johnson
2105:Circle Limit III
2074:Danseuse au café
1981:
1980:
1951:Pyramid of Khufu
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1430:Michael Barnsley
1297:Lyapunov fractal
1155:Sierpiński curve
1108:Blancmange curve
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680:Kalles Fraktaler
628:Fractal software
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581:Official website
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531:. Archived from
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3755:Word processing
3663:
3649:Virtual reality
3610:
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3543:Computer vision
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3515:Multiprocessing
3481:
3443:
3409:Security hacker
3385:
3361:Digital library
3302:
3253:Mathematics of
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3186:Automata theory
3181:Formal language
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3121:Software design
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3011:Virtual machine
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2985:Network service
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2937:Embedded system
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2843:
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2827:
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2768:Sacred geometry
2741:
2707:Ars Mathematica
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2645:
2556:
2509:
2496:Andrea Palladio
2392:
2385:De architectura
2344:
2300:Antoine Pevsner
2280:Jeanette McLeod
2231:Susan Goldstine
2180:
2039:
2033:
1970:
1956:Sagrada FamĂlia
1917:
1859:
1727:Algorithmic art
1715:
1706:
1702:Wallpaper group
1640:Minimal surface
1603:
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1445:Felix Hausdorff
1418:
1382:Brownian motion
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1338:
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1197:Pythagoras tree
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1043:Self-similarity
987:Characteristics
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3659:Solid modeling
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3558:Control method
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3510:Multithreading
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3404:Formal methods
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3376:World Wide Web
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3304:
3303:
3301:
3300:
3295:
3290:
3285:
3280:
3275:
3270:
3265:
3259:
3257:
3250:
3249:
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3241:
3236:
3231:
3226:
3220:
3218:
3212:
3211:
3209:
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3183:
3178:
3177:
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3148:
3143:
3138:
3133:
3128:
3123:
3118:
3113:
3108:
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3094:
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3091:
3090:
3085:
3080:
3075:
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3065:
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3055:
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3039:
3037:
3027:
3026:
3024:
3023:
3018:
3013:
3008:
3003:
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2988:
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2605:
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2603:
2591:
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2589:
2579:
2578:
2577:
2564:
2562:
2558:
2557:
2555:
2554:
2553:
2552:
2550:The Greek Vase
2542:
2541:
2540:
2530:
2529:
2528:
2517:
2515:
2511:
2510:
2508:
2507:
2506:
2505:
2493:
2492:
2491:
2481:
2480:
2479:
2472:Albrecht DĂĽrer
2469:
2468:
2467:
2455:
2454:
2453:
2441:
2440:
2439:
2427:
2426:
2425:
2418:
2406:
2400:
2398:
2394:
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2376:
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2374:
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2354:
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2346:
2345:
2343:
2342:
2337:
2335:Roman Verostko
2332:
2327:
2322:
2317:
2312:
2310:Alba Rojo Cama
2307:
2302:
2297:
2292:
2287:
2282:
2277:
2272:
2267:
2266:
2265:
2256:Charles Jencks
2253:
2248:
2243:
2241:George W. Hart
2238:
2233:
2228:
2223:
2218:
2213:
2208:
2203:
2194:
2188:
2186:
2182:
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2179:
2178:
2173:
2172:
2171:
2164:
2152:
2151:
2150:
2138:
2137:
2136:
2129:
2122:
2115:
2108:
2096:
2091:
2086:
2085:
2084:
2077:
2068:Jean Metzinger
2065:
2064:
2063:
2056:
2043:
2041:
2035:
2034:
2032:
2031:
2030:
2029:
2017:
2015:Albrecht DĂĽrer
2012:
2011:
2010:
1998:
1993:
1987:
1985:
1978:
1972:
1971:
1969:
1968:
1963:
1958:
1953:
1948:
1943:
1938:
1933:
1927:
1925:
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1908:
1901:
1894:
1887:
1880:
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1796:
1791:
1786:
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1749:
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1734:
1732:Anamorphic art
1729:
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1704:
1699:
1694:
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1660:Camera obscura
1657:
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1477:
1472:
1467:
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1460:Helge von Koch
1457:
1452:
1447:
1442:
1437:
1432:
1426:
1424:
1420:
1419:
1417:
1416:
1411:
1406:
1401:
1396:
1395:
1394:
1392:Brownian motor
1389:
1378:
1376:
1369:
1368:
1366:
1365:
1363:Pickover stalk
1360:
1355:
1349:
1347:
1340:
1339:
1337:
1336:
1331:
1326:
1321:
1319:Newton fractal
1316:
1311:
1310:
1309:
1302:Mandelbrot set
1299:
1294:
1293:
1292:
1287:
1285:Newton fractal
1282:
1272:
1266:
1264:
1256:
1255:
1253:
1252:
1251:
1250:
1240:
1238:Fractal canopy
1234:
1232:
1226:
1225:
1223:
1222:
1216:
1214:
1208:
1207:
1205:
1204:
1199:
1194:
1189:
1184:
1182:Vicsek fractal
1179:
1174:
1169:
1164:
1163:
1162:
1157:
1152:
1147:
1142:
1137:
1132:
1127:
1122:
1121:
1120:
1110:
1100:
1098:Fibonacci word
1095:
1090:
1085:
1080:
1075:
1073:Koch snowflake
1070:
1065:
1059:
1057:
1049:
1048:
1046:
1045:
1040:
1035:
1034:
1033:
1028:
1023:
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988:
984:
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944:
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928:
927:
922:
917:
912:
907:
902:
897:
891:
889:
885:
884:
882:
881:
876:
874:Mandelbrot set
871:
866:
861:
859:Jerusalem cube
856:
850:
848:
844:
843:
841:
840:
835:
830:
825:
819:
817:
811:
810:
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804:
803:
797:
795:
791:
790:
788:
787:
782:
777:
772:
767:
761:
759:
758:Cross-platform
752:
748:
747:
745:
744:
739:
733:
731:
727:
726:
724:
723:
718:
713:
708:
706:Electric Sheep
702:
700:
696:
695:
693:
692:
687:
682:
677:
672:
667:
661:
659:
655:
654:
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646:
641:
635:
632:
631:
624:
623:
616:
609:
601:
595:
594:
585:
574:
573:External links
571:
568:
567:
562:"TMS Software"
552:
538:
535:on 2011-12-24.
529:"Apophysis 7x"
519:
518:
516:
513:
512:
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501:
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395:
392:
386:
383:
366:
363:
324:
321:
310:Electric Sheep
298:fractal flames
271:
270:
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225:
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213:
207:
206:
201:
197:
196:
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193:
178:
176:
170:
169:
166:
165:
152:
150:
148:Stable release
144:
143:
140:
139:
124:
123:
38:
36:
29:
15:
9:
6:
4:
3:
2:
3861:
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3645:
3644:Mixed reality
3642:
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3492:
3490:
3488:
3484:
3478:
3477:Accessibility
3475:
3473:
3472:Visualization
3470:
3468:
3465:
3463:
3460:
3458:
3455:
3454:
3452:
3450:
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3213:
3207:
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3199:
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3119:
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3041:
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3022:
3019:
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3014:
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3009:
3007:
3004:
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2999:
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2986:
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2961:
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2957:
2955:
2953:
2949:
2943:
2940:
2938:
2935:
2933:
2932:Dependability
2930:
2928:
2925:
2923:
2920:
2919:
2917:
2913:
2907:
2903:
2900:
2898:
2895:
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2801:
2789:
2788:
2779:
2778:
2775:
2769:
2766:
2764:
2761:
2759:
2756:
2754:
2753:Droste effect
2751:
2750:
2748:
2744:
2738:
2735:
2733:
2732:Mathemalchemy
2730:
2728:
2725:
2723:
2720:
2718:
2715:
2713:
2710:
2708:
2705:
2704:
2702:
2700:Organizations
2698:
2692:
2691:
2687:
2685:
2684:
2680:
2678:
2677:
2673:
2671:
2670:
2669:Lumen Naturae
2666:
2664:
2663:
2659:
2658:
2656:
2652:
2640:
2637:
2636:
2635:
2632:
2628:
2627:
2623:
2622:
2621:
2618:
2614:
2611:
2610:
2609:
2606:
2602:
2601:
2597:
2596:
2595:
2592:
2588:
2585:
2584:
2583:
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2576:
2575:
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2570:
2569:
2566:
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2563:
2559:
2551:
2548:
2547:
2546:
2543:
2539:
2536:
2535:
2534:
2531:
2527:
2524:
2523:
2522:
2521:Samuel Colman
2519:
2518:
2516:
2512:
2504:
2503:
2499:
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2365:
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2358:
2355:
2351:
2341:
2338:
2336:
2333:
2331:
2330:Daina Taimiņa
2328:
2326:
2323:
2321:
2318:
2316:
2315:Reza Sarhangi
2313:
2311:
2308:
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2254:
2252:
2249:
2247:
2244:
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2239:
2237:
2234:
2232:
2229:
2227:
2226:Peter Forakis
2224:
2222:
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2217:
2214:
2212:
2209:
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2202:
2198:
2195:
2193:
2190:
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2183:
2177:
2174:
2170:
2169:
2165:
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2162:
2158:
2157:
2156:
2155:Salvador DalĂ
2153:
2149:
2148:
2144:
2143:
2142:
2141:René Magritte
2139:
2135:
2134:
2130:
2128:
2127:
2123:
2121:
2120:
2116:
2114:
2113:
2112:Print Gallery
2109:
2107:
2106:
2102:
2101:
2100:
2097:
2095:
2092:
2090:
2087:
2083:
2082:
2081:L'Oiseau bleu
2078:
2076:
2075:
2071:
2070:
2069:
2066:
2062:
2061:
2057:
2055:
2054:
2050:
2049:
2048:
2047:William Blake
2045:
2044:
2042:
2036:
2028:
2027:
2023:
2022:
2021:
2018:
2016:
2013:
2009:
2008:
2007:Vitruvian Man
2004:
2003:
2002:
1999:
1997:
1994:
1992:
1991:Paolo Uccello
1989:
1988:
1986:
1982:
1979:
1977:
1973:
1967:
1964:
1962:
1959:
1957:
1954:
1952:
1949:
1947:
1944:
1942:
1939:
1937:
1934:
1932:
1929:
1928:
1926:
1924:
1920:
1914:
1913:
1912:Pi in the Sky
1909:
1907:
1906:
1902:
1900:
1899:
1895:
1893:
1892:
1888:
1886:
1885:
1884:Mathemalchemy
1881:
1879:
1878:
1874:
1872:
1869:
1868:
1866:
1862:
1856:
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1851:
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1817:
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1800:
1797:
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1781:
1780:
1777:
1775:
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1770:
1767:
1765:
1762:
1760:
1757:
1753:
1752:Vastu shastra
1750:
1748:
1745:
1743:
1742:Geodesic dome
1740:
1739:
1738:
1735:
1733:
1730:
1728:
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1681:
1678:
1677:
1675:
1673:
1670:
1668:
1667:Plastic ratio
1665:
1661:
1658:
1656:
1655:Camera lucida
1653:
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1651:
1648:
1646:
1643:
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489:Fractal flame
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406:Sample images
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355:Windows Vista
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67: –
66:
62:
61:Find sources:
55:
51:
45:
44:
39:This article
37:
33:
28:
27:
22:
3740:Cyberwarfare
3399:Cryptography
2785:
2688:
2681:
2674:
2667:
2660:
2654:Publications
2638:
2624:
2612:
2598:
2586:
2572:
2549:
2545:Jay Hambidge
2538:Ad Quadratum
2537:
2525:
2500:
2488:
2476:
2462:
2448:
2444:Luca Pacioli
2434:
2420:
2413:
2383:
2371:
2295:Hinke Osinga
2290:István Orosz
2260:
2251:Anthony Hill
2206:Scott Draves
2201:Erik Demaine
2185:Contemporary
2166:
2159:
2145:
2131:
2124:
2117:
2110:
2103:
2099:M. C. Escher
2079:
2072:
2058:
2051:
2024:
2020:Parmigianino
2005:
1936:Hagia Sophia
1910:
1903:
1896:
1889:
1882:
1875:
1759:Computer art
1737:Architecture
1697:Tessellation
1680:Architecture
1630:Golden ratio
1559:Chaos theory
1554:Kaleidoscope
1545:
1537:
1529:
1455:Gaston Julia
1435:Georg Cantor
1260:Escape-time
1192:Gosper curve
1140:LĂ©vy C curve
1125:Dragon curve
1004:Box-counting
794:Windows only
664:
555:
541:
533:the original
523:
397:
388:
368:
352:
328:Scott Draves
326:
314:
295:
275:
274:
112:
103:
93:
86:
79:
72:
60:
48:Please help
43:verification
40:
3750:Video games
3730:Digital art
3487:Concurrency
3356:Data mining
3268:Probability
3001:Interpreter
2594:G. H. Hardy
2397:Renaissance
2367:Polykleitos
2305:Tony Robbin
2216:John Ernest
2211:Jan Dibbets
2161:Crucifixion
1984:Renaissance
1838:Mathematics
1811:Celtic knot
1774:Fractal art
1676:Proportion
1650:Perspective
1550:(1987 book)
1542:(1986 book)
1534:(1982 book)
1520:Fractal art
1440:Bill Gosper
1404:LĂ©vy flight
1150:Peano curve
1145:Moore curve
1031:Topological
1016:Correlation
658:Open-source
649:Fractal art
639:Digital art
592:SourceForge
499:Fractal art
379:Monte-Carlo
344:screensaver
332:open source
280:open source
265:.xyrus-worx
3823:Categories
3808:Glossaries
3680:E-commerce
3273:Statistics
3216:Algorithms
3174:Stochastic
3006:Middleware
2862:Peripheral
2568:Owen Jones
2415:De pictura
2320:Oliver Sin
2270:Andy Lomas
2119:Relativity
1850:String art
1764:Fiber arts
1645:Paraboloid
1358:Orbit trap
1353:Buddhabrot
1346:techniques
1334:Mandelbulb
1135:Koch curve
1068:Cantor set
925:Orbit trap
879:Mandelbulb
515:References
371:affine map
302:transforms
254:.apophysis
230:/ Graphics
200:Written in
174:Repository
160:2009-09-10
106:April 2009
76:newspapers
3629:Rendering
3624:Animation
3255:computing
3206:Semantics
2897:Processor
2379:Vitruvius
2353:Theorists
2133:Waterfall
2038:19th–20th
1966:Taj Mahal
1946:Parthenon
1923:Buildings
1877:Continuum
1845:Sculpture
1821:Interlace
1615:Algorithm
1465:Paul LĂ©vy
1344:Rendering
1329:Mandelbox
1275:Julia set
1187:Hexaflake
1118:Minkowski
1038:Recursion
1021:Hausdorff
869:Mandelbox
864:Julia set
665:Apophysis
291:Macintosh
276:Apophysis
263:apophysis
129:Apophysis
3788:Category
3616:Graphics
3391:Security
3053:Compiler
2952:Networks
2849:Hardware
2787:Category
2514:Romantic
2192:Max Bill
2126:Reptiles
1941:Pantheon
1898:Octacube
1864:Artworks
1806:Knotting
1794:Muqarnas
1692:Symmetry
1620:Catenary
1608:Concepts
1375:fractals
1262:fractals
1230:L-system
1172:T-square
980:Fractals
938:Category
838:VistaPro
833:Terragen
770:Chaotica
737:Fractint
730:Freeware
716:openPlaG
690:Sterling
685:MilkDrop
509:Chaotica
467:See also
3798:Outline
2746:Related
2360:Ancient
2094:Man Ray
2040:Century
1976:Artists
1833:Origami
1747:Pyramid
1625:Fractal
1324:Tricorn
1177:n-flake
1026:Packing
1009:Higuchi
999:Assouad
888:Related
828:Picogen
742:IFStile
670:Blender
394:Plugins
385:Scripts
323:History
247:Website
236:License
228:Fractal
158: (
90:scholar
2561:Modern
2197:Martin
2060:Newton
1855:Tiling
1799:Zellij
1769:4D art
1423:People
1373:Random
1280:Filled
1248:H tree
1167:String
1055:system
801:VisSim
751:Retail
340:Delphi
278:is an
204:Delphi
92:
85:
78:
71:
63:
3201:Logic
3035:tools
2372:Canon
1828:Music
1784:Girih
1720:Forms
1685:Human
1499:Other
775:Maple
765:Bryce
97:JSTOR
83:books
3033:and
2906:Form
2902:Size
2199:and
1789:Jali
721:XaoS
711:GIMP
675:Fyre
357:and
289:and
267:.org
256:.org
223:Type
69:news
699:GNU
590:on
400:API
252:www
52:by
3825::
2904:/
1905:Pi
1509:"
317:3D
293:.
2842:.
2822:e
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620:e
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564:.
549:.
359:7
336:C
259:,
162:)
119:)
113:(
108:)
104:(
94:·
87:·
80:·
73:·
46:.
23:.
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