Myths about copyright explained http://www.templetons.com/brad/copymyths.html ------------------------------------------------------------------------ Software (executables and/or source code): 187 lines ------------------------------------------------------------------------ Fractint (official) http://spanky.triumf.ca/www/fractint/ (development) http://www.fractint.org/ WinFract http://spanky.triumf.ca/pub/fractals/programs/ibmpc/windows/winf1821.zip ManPWin http://www.deleeuw.com.au/ http://www.users.bigpond.com/pdeleeuw/ QuaSZ http://www.mysticfractal.com/ Quaternion Package http://www.hypercomplex.org/ Paste-N-Go http://web.ukonline.co.uk/robin.b2/pastengo.htm Fractal eXtreme http://www.cygnus-software.com/ TieraZon http://home.hiwaay.net/~stephenf/ (mirror) http://fractals.iut.u-bordeaux1.fr/fergusonsc/ GrafZViZion http://home.hiwaay.net/~stephenf/GrafZViZion/Kaos.html Iterations/Flarium http://home.hiwaay.net/~stephenf/Itriazon/itriazon.htm InkBlot Kaos http://home.hiwaay.net/~stephenf/Inkblot/InkBlot-Kaos.htm (mirror) http://ftp-hs.iuta.u-bordeaux.fr/ferguson/ XaoS http://xaos.theory.org/ http://www.paru.cas.cz/~hubicka/XaoS/ XenoDream (XenoLab) http://www.xenodream.com/ Dust http://members.home.nl/tmiddelkoop/ YAFE http://www.cipherica.com/yafe/ UltraFractal http://www.ultrafractal.com/ (mirror) http://ourworld.compuserve.com/homepages/slijkerman/ (& plugins) http://w1.111.telia.com/~u11108896/ambrosid/plugins.html The Talis Project http://home1.gte.net/itriazon/talis/talis1.htm INFI http://www.hut.fi/~mpoyhone/infi/ L-System 4 http://acidsky.com/downloads.html Fractal Orbits http://spanky.triumf.ca/pub/fractals/programs/ibmpc/windows/fo32201.zip (mirror) ftp://ftp-hs.iuta.u-bordeaux.fr/fractorb/ Dreamer ftp://ftp-hs.iuta.u-bordeaux.fr/twggfa/ Medusa ftp://ftp-hs.iuta.u-bordeaux.fr/twggfa/ Zplot ftp://ftp-hs.iuta.u-bordeaux.fr/zplot/ Fractal Explorer http://fractals.da.ru/ http://skyscraper.fortunecity.com/binary/34/ M Fractal Explorer http://pizzi.cjb.net/ http://members.xoom.com/edpizzi/math/ MZooM http://www.z-graphix.com/ Quat http://wwwcip.rus.uni-stuttgart.de/~phy11733/quat_e.html http://www.physcip.uni-stuttgart.de/phy11733/ Brazil Fract Buildr http://altern.org/fractalbuilder/ MJF http://members.tripod.de/DaveSchulz/ Fractal Vision http://www.geocities.com/SoHo/Lofts/5601/ Fractal Zplot http://www.geocities.com/SoHo/Lofts/5601/ Fractal Agent http://www.geocities.com/SoHo/Lofts/5601/ Fractal Dofo-Zon http://www.geocities.com/SoHo/Lofts/5601/ Fractal Elite http://www.geocities.com/SoHo/Lofts/5601/ Fractal Commander http://www.geocities.com/SoHo/Lofts/5601/ Kai's PowerTools http://www.corel.com/ http://www.metacreations.com/ Fractal Domains & http://www.fractaldomains.com/ FracPPC http://users.aol.com/ddemars/fracppc.html EscapePPC http://www.escapeppc.com/ Fract32 http://home.att.net/~sltackett/Fract32.html "Norman H.Tackett" Fract-O-Rama! http://locutus.kingwoodcable.com/jfd/fractal/ IFS4 http://www.geocities.com/SoHo/Studios/1450/ "William 'Bill' Decker" IFS Version 1.0.4 http://hyperarchive.lcs.mit.edu/HyperArchive/Archive/sci/ifs-104.hqx PocketIFS http://www.palmgear.com/software/showsoftware.cfm?&prodID=3995 FractalForge http://www.logisoft.it/uberto/ (TrueMandel) http://sourceforge.net/projects/fractalforge/ Gnofract http://www.multimania.com/mason/ D-Frac http://www.xs4all.nl/~scherft/ Inwards To Chaos http://malilla.supereva.it/Pages/Download/download.html ZemFract http://www.zeman.prv.pl/ Chaos: the Software http://www.mathcs.sjsu.edu/faculty/rucker/ XMFractal http://dsl.75.202.networkiowa.com/~kent/Software/XMFractal/xmfractal.html Frode Gill Programs http://home.hia.no/~fgill/download.htm Quatern, etc. http://www.krs.hia.no/~fgill/download.htm LPARSER http://www.xs4all.nl/~ljlapre/lparser.htm ImagineThat http://www.overland.net/~skinny/ Salomo 2.0 http://www.bigfoot.com/~salomo/ "Niko Wilbert" Fractint Scrn Svr http://home.sol.no/~thbernt/fintsave.htm "Tore Berntsen" Set Surfer http://www.flash.net/~redbeard/ Amazing Seattle http://fractalarts.com/ASF/index.html "Doug Harrington" Julia Saver http://www.fractalus.com/juliasaver/ http://www.emi.net/~dmj/index/ Seractal http://www.ozemail.com.au/~porum/ Fract.Explorations http://download.parkhurst.net/screensaver/fe1_demo.exe Fract.Explorations2 http://download.parkhurst.net/screensaver/FE2demo.exe (full version) http://www.parknetpro.com/WareHouse/page2.html HOP http://www.mpeters.de/mpeweb/hop/ NESS http://www.thecat50.freeserve.co.uk/ness/ Shade Dancers http://www.common.net/~cv/ "Don Neufeld" Fractopia Scrn Svr http://www.harptree.demon.co.uk/fss/ FractKal Scrn Svr http:// ""R. E. Barlow" Fracsaver http://www.fractalus.com/fracsaver/ "Steve "C" Coast" FracSaver http://www.geocities.com/pp_666/ "Peter Pawlowski" Fractal Scrn Saver http://members.spree.com/sip/avadim/Fractal/Fractal.htm Martin Fract ScrnS http://members.aol.com/PhilRobins/ "Phil Robins" Fractal Dreams V2.0 http://lonestar.texas.net/~dragon13/screensaver.html Ephemera http://www.geocities.com/SiliconValley/Horizon/9959/ "Ben Michell" Makin'Magic Fractal http://skyscraper.fortunecity.com/terabyte/966/ http://website.lineone.net/~dave_makin/ Koloka & Kosova http://westwood.fortunecity.com/lagerfeld/803/ HYPERFRACTALS http://www.ifrance.com/FRACTALS/ Ultimate fractals http://www.ultimate-fractals.freeserve.co.uk/ Mandlebrot Explorer http://www.users.globalnet.co.uk/~dsalt/chaos.htm Alien Lab http://www.geocities.com/svermuyten/ QS programs http://www.uvm.edu/~msargent/ "Michael Sargent" Juliav41 http://home.wxs.nl/~josv/ FracTools http://www.bourbaki.com/cnsbbk/ ?? FracShow P.O. Box 2867 208-342-5849 Fax: 208-342-5823 Touch of Chaos Boise, ID 83701 SA18 Chaos Engine http://www.homestead.com/giannoni/sa18.html & Screen Saver a few others http://www.bdx1.u-bordeaux.fr/MAPBX/louvet/jpl4a.html http://www.calresco.org/sos/software.htm http://www.columbia.edu/~gae4/chaos/cfd.A.2.html http://www02.u-page.so-net.ne.jp/cb3/stc_mtka/soft/mandelbrot/mandelbrot_eng.html various items http://sprott.physics.wisc.edu/software.htm http://www-rocq.inria.fr/fractales/fractales-eng.html http://www.utp.ac.pa/~rperez/ http://www.swin.edu.au/astronomy/pbourke/ http://www.sonic.net/~jot/ http://www.mk.dmu.ac.uk/~khcm8ac/Full/POVRay31/IFS.html http://www.pjbsware.demon.co.uk/ "Phil Baker" http://abel.math.harvard.edu/HTML/Individuals/Curtis_T_McMullen.html/programs.html TP7 http://www.efg2.com/Lab/FractalsAndChaos/ Fractal Music http://members.aol.com/strohbeen/fmlsw.html JavaFract http://delenn.roentgen.physik.uni-goettingen.de/fractal/ http://134.76.41.105/fractal/ Chaoslab http://www.eldian.com/chaoslab/ Java applets http://sprott.physics.wisc.edu/java/attract/attract.htm http://www.stolaf.edu/people/mcclure/java/Julia/ http://www-europe.sgi.com/Fun/free/java/chris-thornborrow/ http://www.iglobal.net/lystad/fractal-top.html http://www.daa.com.au/~james/fractals/ http://www.dorsai.org/~arch/ http://www.ingress.com/~arch/ http://www.pjbsware.demon.co.uk/ http://www.concentric.net/~Oomph/fractal.shtml http://www.calresco.org/sos/java.htm TruMand / M24 http://www.capcollege.bc.ca/~mfreeman/mand.html Frang http://www.servtech.com/public/baldwin/frang/frang.html a few others http://www.geocities.com/CapeCanaveral/Lab/3825/Software.htm http://www.ealnet.com/ealsoft/f-ed-sw.htm http://ourworld.compuserve.com/homepages/alexslack/mandle.htm Artlandia http://www.artlandia.com/software/ Recursive Realm http://www.filelibrary.com/Contents/DOS/94/12.html (Scott James) http://www.share-fayre.co.uk/masters/DEMO_VGA/RECSVRLM.LZH (v2.5) Kaos Rhei http://members.aol.com/bischo6639/kaosrhei.zip Fractal Builder http://altern.org/fractalbuilder/ http://www.chez.com/ Fractal Generator http://home1.gte.net/peterfo/fractal/ Vue d'Esprit http://ourworld.compuserve.com/homepages/vue_d_esprit/ Fractal Expierence http://www.mnsinc.com/wgwright/fracexp/ Fantastic Fractals http://library.advanced.org/12740/ SBART http://www.intlab.soka.ac.jp/~unemi/sbart/ Attractor & Co http://ourworld.compuserve.com/homepages/Pascal_Leclercq/ MakeMap http://www.hiddendimension.com/futils.html http://members.aol.com/RBarn0001/ eXchange Map http://www.geocities.com/SiliconValley/Way/9943/c.htm Color Map Editor http://www.fzint.org/fractals/ Ralph Hilton http://Ralph.Hilton.org Fractal Map Select http://members.tripod.com/softwork/fms/ still more http://bourke.gen.nz/paul.html Symmetry http://www.teknet.net.au/~plavers/ something else http://www.eecs.wsu.edu/~hart/ MusiNum 2.0 http://www.forwiss.de/~kinderma/musinum/ Mystical Screen Svr http://www.insim.com/ Fractal Frenzy http://www.stotty.freewire.co.uk/saver/Fractal%20Frenzy.EXE screen-saver viewer http://falcon.jmu.edu/~jenninms/apps/picsaver/ Visions Of Chaos http://fractalchaos.freeyellow.com/ Chaos-Animator http://www.Schloesinger.de/ C. Schlösinger Chaos Pro 2.0 (Win) http://www.chaospro.de/ http://oak.oakland.edu/pub/simtelnet/win95/graphics/cpro20.zip ftp://ftp.simtel.net/pub/simtelnet/win95/graphics/cpro20.zip ChaosPro (Amiga) http://www.cucug.org/ar/ar308_Sections/ftp8.HTML FractalPro (Amiga) http:// MandFXP (Amiga) http://www.cygnus-software.com/ Mand2000 (Amiga) http://www.cygnus-software.com/ Mr.M (Amiga) http:// Lyapunovia (Amiga) http:// Hyper Fractal (MAC) http://www.nordicsoftware.com/erik/erikware.html Aros Fractals http://www.arosmagic.com/Fractals/ MandleAcid 2.0(MAC) http://bondiboard.macpublishing.net/software/Software.44.html http://members.aol.com/megakind/ Mandlezot 4.0 (MAC) http://radagast.org/~dplatt/mac/ http://iq.tvsoft.com/~dplatt/mac/ FractalGeneration http://www.lor-thil.dircon.co.uk/ Object Mandelbrot http://pages.wooster.edu/prushab/Originals.html & Newton (MAC) Mandella http://www.shareware.com/ by Jesse Jones MandelBrowser 3.0 http://www.shareware.com/ by Jesse Jones Mandel Zoom http:// Scenery Animator 2.5 http:// 3 IFS progs (MAC) http://www.math.ohio-state.edu/~edgar/preprints/ifs/P09.html Power Explorer(MAC) http:// Terrainman 2.0.1ƒ.1 http:// LS SketchBook http://coco.ccu.uniovi.es/malva/sketchbook/ BENOIT http://www.trusoft.netmegs.com/ (Fractal Analysis System) PhatFractal http://www.phatfractal.com/ http://soma.tvk.rwth-aachen.de/PhatFractal/ Fd3 0.3 http://askdonna.ask.uni-karlsruhe.de/hppd/hpux/Physics/fd3-0.3/ (estimates fractal dimension) Fractal Compression http://links.uwaterloo.ca/fractals.programs.html Various Source Code http://mitpess.mit.edu/flake/ http://spanky.triumf.ca/pub/fractals/code/ http://www.programmersheaven.com/zone10/cat101/ http://www.frontiernet.net/~jmb184/interests/sci.fractals/source/ http://www.geocities.com/CapeCanaveral/5003/fracprog.htm http://www.geocities.com/CapeCanaveral/5003/3dprog.htm http://www.calresco.org/sos/calressw.htm http://drque.pluvius.net/Fractals/Code.html http://www.homestead.com/giannoni/sa18.html Winq60 http://arizona.speedchoice.com/~scudders/Zen_Soft/ Others http://spanky.triumf.ca/pub/fractals/programs/ http://wuarchive.wustl.edu/aminet/gfx/fract/ http://hypertextbook.com/ http://www.lycaeum.org/computers/mac.shtml http://members.tripod.de/DaveSchulz/ http://www.myrias.com/mandelbrot.html http://internet.oit.edu/~klingama/projects/DesignIFS/ http://www.filelibrary.com/ http://www.share-fayre.co.uk/407.htm ------------------------------------------------------------------------ Animations (URL alphabetical order): 18 lines ------------------------------------------------------------------------ http://buh.sj.ca.us/fractals/ http://members.aol.com/lukeplant/fractals/anim.html http://members.aol.com/RBarn0001/ http://runetek.hypermart.net/ (Win95/98 startup screens) http://soma.tvk.rwth-aachen.de/PhatFractal/ http://web.cnam.fr/fractals.html http://www.crosswinds.net/athens/~jgal/Fractals.html http://www.cygnus-software.com/fxmplugin/ http://www.fractalmovies.com/ http://www.geocities.com/SoHo/Museum/2621/ http://www.iglobal.net/lystad/fractal-top.html http://www.metaverse-portal.com/ http://www.netmonkey.com/shlep/hop/ http://www.organised-chaos.com/ http://www.oz.net/~alden/animfrac/animfrac.html http://www.phatfractal.com/ http://www.runetek.com/ http://zadig.cnam.fr/fractals.html ------------------------------------------------------------------------ Various Products (URL alphabetical order): 29 lines ------------------------------------------------------------------------ http://cd-rom-guide.com/cdprod1/cdhrec/006/025.shtml (CD-Rom) http://galttech.simplenet.com/ssheaven/f0087.html (CD-Rom) http://home.att.net/~Paul.N.Lee/PNL_Fractals.html (posters) http://home.inreach.com/mapper/purchase_art.htm (prints) http://members.fortunecity.com/fractalcove/ (prints, T-shirts) http://members.home.net/shessler1/sah_fractal_art_image_archive.htm http://pages.prodigy.net/pauldc/ufintro.html (CD-Rom) http://www.allegria.com.au/ (jewelry, cards) http://www.artmatrix.com/products.html (posters, videos, etc.) http://www.cdaccess.com/html/shared/visions6.htm (CD-Rom) http://www.contest2k.com/en/order.htm (CD-Rom) http://www.digitile.co.uk/ (ceramic tiles) http://www.eclectasy.com/fractalguy/ (prints) http://www.fractaljeans.com/ (jeans) http://www.fractalus.com/paul/intropage.html (CD-Rom) http://www.graphxedge.com/fractals/ (CD-Rom) http://www.immrama.com/f-prod.htm (prints, cards, etc.) http://www.jacobspublishing.com/fractals.html (posters, etc.) http://www.lifesmith.com/products.html (many items) http://www.mindspring.com/~mraging/ (T-shirts, patterns, etc.) http://www.posternow.com/fractal.htm (posters, cards, etc.) http://www.refractal.com/ (jewelry) http://www.t-shirtzoo.com/index.asp (T-shirts) http://www.thinkpiece.com/ (posters and prints) http://www.xmission.com:8000/~legalize/gift.html (poster) ------------------------------------------------------------------------ Movies: 52 lines ------------------------------------------------------------------------ "Fractals: The Colors of Infinity", (1997) Newbridge Communications, Inc., a 52 min. video which (usually airs on local PBS stations). The following quote was taken from this website: http://www.kcts.org/ "Dr. Arthur C. Clarke, screenwriter of 2001: A Space Odyssey and inventor of the space satellite, chronicles the 1980 discovery by Dr. Benoit Mandelbrot of a geometrical shape which can be used to better understand the physical world. Clarke explores this discovery's impact on the world of mathematics - which has included the development of a new mathematical discipline: fractal geometry - with the help of Dr. Mandelbrot, Prof. Stephen Hawking, Dr. Michael Barnsley and Prof. Ian Stewart. Set to a musical score by David Gilmour of the rock group Pink Floyd, vibrant computer graphics help the audience visualize the M-set and illustrate its infinite complexity. Clarke predicts that the next generation of devices, which will be built on fractal principles, will revolutionize communications, health care, the military and computer technology." For VHS or DVD copies of Colours of Infinity try the following: "Films for the Humanities and Sciences" at 1-800-257-5126 between 8:30 am to 5:00 pm ET. Information may be found at: http://www.films.com/ http://www.films.com/id/7633/Fractals_The_Colors_of_Infinity.htm VHS $159.95 DVD-R $149.95 Digital On-Demand $74.98 "The Alphabet of Shapes: Benoît Mandelbrot and Fractal Geometry" Benoît Mandelbrot explains his ideas and theories by using ordinary objects and occurrences as examples. (35 min.) List Price: $149.00 http://www.films.com/item.cfm?bin=5434 "Clouds Are Not Spheres: The Fractal Theory of Benoît Mandelbrot" List Price: $149.00 http://www.films.com/item.cfm?bin=10915 "Fractals, Chaos Theory, and Their Application" This is an examination of fractals, their relationship to the development of Chaos Theory, and their practical application in the telecommunications industry. (24 min.) List Price: $129.00 http://www.films.com/item.cfm?bin=7033 "Fractals: An Animated Discussion", (1990) W.H. Freeman and Co. A dazzling computer animation combined with the genius of Benoît Mandelbrot and Edward Lorenz present a captivating discussion of fractals and the fundamental concepts of fractal geometry. (63 min.) List Price: $149.00 http://www.films.com/item.cfm?bin=7276 "Mathematics and Nature" How attempts to describe the order of nature mathematically have led to a new geometry: fractal geometry. (23 min.) List Price: $89.95 http://www.films.com/item.cfm?bin=5532 "Is God a Number? Maths that Mimic the Mind" This fascinating program examines the computational paradigms being used to model human consciousness and to quantify reality, from Euclidean geometry to fractal transform algorithms. Outstanding computer graphics enhance this exploration of inner and outer space with Oxford mathematician Sir Roger Penrose, compression technology expert Michael Barnsley, and others. (54 min.) List Price: $149.00 http://www.films.com/item.cfm?bin=10117 "The Fractal Experience" Found at http://www.amazon.com/ ~ VHS ~ Usually ships in 24 hours. Price: $13.99 "Fractal Lumination" Found at http://www.amazon.com/ ~ VHS ~ Usually ships in 24 hours. Price: $16.99 "Chaos Made to Order", (1991) Bourbaki Inc., Boise, Idaho, 30 mins. "Mathematics for Lovers: Mandelbrot Sets and Julia Sets", (1990) Art Matrix, Ithaca, NY, 120 mins. "Life Dance of the Julias" Media Magic, Nicasio, CA "Fractal Explorations" Media Magic, Nicasio, CA "Fractal Fantasy" Media Magic, Nicasio, CA http://home.bc.rogers.wave.ca/kvdoel/mandelmovie.html http://fractal.mta.ca/fractals/kvdoel/mandelmovie.html http://www.artmatrix.com/mj.html http://www.cnam.fr/fractals/anim.html http://www.activetools.com/examples/movie/movie.html ------------------------------------------------------------------------ Music (URL alphabetical order): 51 lines ------------------------------------------------------------------------ http://artists.mp3s.com/artists/71/justin_d_scott.html http://autoinfo.smartlink.net/ray/ http://bfws7e.informatik.uni-erlangen.de/~kinderma/musinum/InternetMusic.html http://easyweb.easynet.co.uk/~cenobyte/ ftp://ftp.cc.monash.edu.au/pub/win3/sounds/alcomp11.zip ftp://ftp.simtel.net/pub/simtelnet/win95/music/frctmus2.zip http://hem.passagen.se/rasmuse/Coagula.htm <======<<< !!!! http://hotfiles.zdnet.com/cgi-bin/texis/swlib/hotfiles/info.html?fcode=00101V&b= http://hyperreal.com/~scruton/revzip.exe http://jagor.srce.hr/~vnemet/ http://library.advanced.org/12740/ http://members.aol.com/dsinger593/CAMAN/fmus10.zip http://members.aol.com/dsinger593/CAMAN/fmupgrd.zip http://members.aol.com/fractalman/artsng23.zip http://members.aol.com/fractalman/katorsha.zip http://members.aol.com/strohbeen/fmlsw.html http://members.aol.com/strohbeen/musiclab.zip http://members.tripod.com/~paulwhalley/ http://philowerx.iuma.com/ http://sprott.physics.wisc.edu/newpc1.htm http://stations.mp3s.com/stations/161/math__science_in_music.html http://stream.mcma-east.siu.edu/ http://www.artsong.org/ -- Artsong (by Dave Strobbhen) http://www.ccsr.uiuc.edu/People/gmk/Projects/ChuaSoundMusic/sccc.tar.gz http://www.chaffey.org/fractals/music.html http://www.discovery.com/stories/technology/fractals/fractals.html http://www.distrito.com/janc/programas/lorenz1i.exe http://www.dorsai.org/~arch/ http://www.fin.ne.jp/~yokubota/mandele.shtml http://www.forwiss.de/~kinderma/musinum/InternetMusic.shtml http://www.forwiss.uni-erlangen.de/~kinderma/musinum/musinum1.zip http://www.forwiss.uni-erlangen.de/~kinderma/musinum/musinum2b5.zip http://www.fractal-vibes.com/fvc/music/gingerbread.html http://www.fractalmusiclab.com/ <=======<<< http://www.geocities.com/SiliconValley/Haven/4386/ http://www.geocities.com/Vienna/9349/ http://www.ingress.com/~arch/ http://www-ks.rus.uni-stuttgart.de:80/people/schulz/fmusic/ http://www-ks.rus.uni-stuttgart.de/people/schulz/fmusic/wtf/ http://www.mindspawn.com/fracmus.html http://www.mp3.com/celimage/ http://www.mp3.com/Justin_D_Scott/ http://www.mp3.com/stations/MathMusic http://www.mp3.com/TeslaMusic/ http://www.organised-chaos.com/ http://www.ozemail.com.au/~davesag/snd.html http://www.pipeline.com/~gogins/silence.zip http://www.quantumportal.com/ http://www.randomtunes.com/ -- Tangent (by Peter Whalley) http://www.tunesmithy.co.uk/ http://www.users.interport.net/~dsharp/lmuse.html ------------------------------------------------------------------------ Music Technical (URL alphabetical order): 4 lines ------------------------------------------------------------------------ http://cc.pima.edu/users/larry/fracmus.htm http://timara.con.oberlin.edu/~gnelson/papers/fractal/GNfract.htm http://www.ccsr.uiuc.edu/People/gmk/Projects/ChuaSoundMusic/ http://www.maths.gla.ac.uk/~km/pub/fracpap.htm ------------------------------------------------------------------------ Interactive (URL alphabetical order): 69 lines ------------------------------------------------------------------------ * http://134.76.41.105/fractal/ http://aleph0.clarku.edu/~djoyce/julia/explorer.html * http://cm.bell-labs.com/who/jelena/Applets/Dragon.html * http://cm.bell-labs.com/who/wim/cascade/ http://daa.com.au/~james/fractals/ * http://delenn.roentgen.physik.uni-goettingen.de/fractal/ http://frac.samurajdata.se/ * http://home.att.net/~RBinNJ/mbapplet.htm http://home.rochester.rr.com/dak/ ? http://home2.swipnet.se/~w-26404/vague/ * http://huizen.nhkanaal.nl/~klup82/mandel.html ? http://java.sun.com/applets/Fractal/example1.html http://java.sun.com/products/plugin/1.3.0_01/demos/applets/Fractal/example1.html http://java.sun.com/products/plugin/1.4/demos/applets/Fractal/example1.html * http://m.a.x.i.am/ http://math.bu.edu/DYSYS/applets/ ? http://members.aol.com/strohbeen/fml.html * http://members.tripod.com/aciddome/fractal/Fractal.html * http://mitpess.mit.edu/flake/ * http://nis-www.lanl.gov/~mgh/mand.shtml * http://pineapple.apmaths.uwo.ca/~blair/nonlinearlab.html * http://reality.sgi.com/employees/rck/hydra/ * http://reality.sgi.com/rck/hydra/ * http://shell.rmi.net/~tph/fractalkit/fractal.html http://sprott.physics.wisc.edu/java/attract/attract.htm http://storm.shodor.org/mandy/ * http://tqd.advanced.org/3288/ * http://vrml.eecs.wsu.edu/~hart/qjs-bin/qjs.html http://www.actrix.gen.nz/users/chaoslab/ * http://www.albany.net/~hello/carmen2.htm http://www.bekkoame.ne.jp/~ishmnn/java/mandelbrot.html ? http://www.bridgewater.edu/departments/physics/ISAW/FracMain.html http://www.calresco.org/sos/java.htm * http://www.chaosclub.com/ * http://www.concentric.net/~Oomph/fractal.shtml * http://www.dorsai.org/~arch/form4.htm http://www.exploratorium.edu/complexity/java/lorenz.html * http://www.forestecho.com/ferns.html http://www.franceway.com/java/fractale/mandel_b.htm http://www.frontiernet.net/~jmb184/interests/sci.fractals/Java_Fractals/ http://www.geocities.com/Area51/6902/t_sd_app.html http://www.geocities.com/CapeCanaveral/Hangar/7959/ http://www.geocities.com/SiliconValley/Pines/5788/ http://www.geom.umn.edu/java/ http://www.halcyon.com/mattks/FractalExplorer.htm http://www.ifa.au.dk/~bdj/ http://www.iglobal.net/lystad/fractal-top.html http://www.ingress.com/~arch/form4.htm http://www.ipm.sci-nnov.ru/~DEMIDOV/MSet/Archive.htm http://www.ipm.sci-nnov.ru/~demidov/eng/java_e.htm http://www.ipm.sci-nnov.ru/~demidov/fract/RGallery/Enter.htm http://www.julianhaight.com/filmer/ http://www.khm.de/~christi/java/Fractal_e.html http://www.krs.hia.no/~fgill/javascript/mandscr.htm http://www.metaverse-portal.com/ http://www.mindspring.com/~chroma/mandelbrot.html http://www.missouri.edu/~polsksm/ http://www.mit.edu:8001/people/mkgray/java/Mandel.html http://www.netmonkey.com/shlep/hop/ * http://www.numinous.com/_private/people/pjl/graphics/mandelbrot/mandelbrot.html http://www.pjbsware.demon.co.uk/ http://www.softlab.ntua.gr/mandel/mandel.html http://www.stolaf.edu/people/mcclure/java/Julia/ http://www.sunlabs.com/~shirriff/java/ http://www.symbolcraft.com/blog/sharing-the-mandelbrot-set/7/ http://www.ukmail.org/~oswin/ http://www.vt.edu:10021/B/bwn/Chaos.html http://www.wildfire.com/ag-bin/fractal.pl http://www.wmin.ac.uk/~storyh/fractal/frac.html http://www3.sympatico.ca/mandel.html http://www-europe.sgi.com/Fun/free/java/chris-thornborrow/ http://zenith.berkeley.edu/seidel/Frac/ ------------------------------------------------------------------------ Newsgroups (URL alphabetical order): 19 lines ------------------------------------------------------------------------ news:alt.bainaries.pictures.fractals news:alt.binaries.fractal-art news:alt.binaries.pictures.fractals news:alt.chaos news:alt.fractals news:alt.fractals.pictures news:bit.listserv.frac-l news:sci.chaos news:sci.fractals news:t-netz.fractint news:uw.mail-list.fractals news:z-netz.alt.fractint news:zer.t-netz.fractint The following items may or may not be up, depending on server and time of day: news://jesusfreke.tulsa.ok.us/alt.binaries.pictures.fractals news://jesusfreke.ddns.org/alt.binaries.pictures.fractals news://192.203.164.196/alt.binaries.pictures.fractals news://jesusfreke.dyn.ml.org/alt.binaries.pictures.fractals ------------------------------------------------------------------------ Copy Sites of Usenet Postings (URL alphabetical order): 19 lines ------------------------------------------------------------------------ ftp://csus.edu/pub/alt.fractals.pictures/ http://galaxy.uci.agh.edu.pl/pictures/alt.binaries.pictures.fractals/last.html ftp://mirrors.xmission.com/abpf/ http://usenet-replayer.de/groups/alt.binaries.pictures.fractals.html http://wren.supernews.com/ http://www.cnam.fr/Images/Usenet/ http://www.cs.uni-magdeburg.de/pictures/Usenet/fractals/summary/ http://www.dejanews.com/ http://www.etin.com/?menu=browse&menuItem=news&folder=alt%2ebinaries%2epictures%2efractals http://www.etin.com/?menu=browse&menuItem=news&folder=alt%2efractals%2epictures http://www.etin.com/?menu=browse&menuItem=news&folder=sci%2efractals http://www.fractalus.com/news/ http://www.nailnews.com/ http://www.remarq.com/threads.asp?group=alt%2Ebinaries%2Epictures%2Efractals&nav=FIRST http://www.remarq.com/threads.asp?group=alt%2Efractals&nav=FIRST http://www.remarq.com/threads.asp?group=alt%2Efractals%2Epictures&nav=FIRST http://www.remarq.com/threads.asp?group=sci%2Efractals&nav=FIRST http://www.remarq.com/threads.asp?group=uw%2Email%2Dlist%2Efractals&nav=FIRST http://www.xmission.com/~legalize/fractals/abpf/ ------------------------------------------------------------------------ Mail Listings: 217 lines ------------------------------------------------------------------------ FRACTAL-ART, The Fractal Art Discussion List Administrator: Damien M. Jones previously by Jon Noring Subscription Address: fractal-art-subscribe@lists.fractalus.com (previously at majordomo@aros.net with the body of your email message: subscribe fractal-art) Posts: fractal-art@lists.fractalus.com (previously to fractal-art@aros.net) Description: This mailing list is open to all individuals/organizations interested in all aspects of Fractal Art. This would include fractal and digital artists, fractal software developers, gallery owners, museum curators, art marketers and brokers, printers, art collectors, and simply anybody who just plain likes to look at fractal images. Archive: Send a message to fractal-art-help@lists.fractalus.com (older postings may be found at: http://www.fractalus.com/ftp/pub/lists/fractal-art/ ftp://ftp.aros.net/pub/users/noring/fractal-art/ ) FRACTAL-ART-SAFE, (same as above). FRACTINT, The Fractals and Fractint Discussion List Administrator: Tim Wegner Subscription Address: majordomo@xmission.com (body of your email message: subscribe fractint) Posts: Fractint@xmission.com Description: This mailing list is for the discussion of fractals, fractal art, fractal algorithms, fractal software, and fractal programming. Specific discussion related to the freeware MS-DOS program Fractint and it's ports to other platforms is welcome, but discussion need not be Fractint related. Technical discussion is welcome, but so are beginner's questions, so don't be shy. This is a good place to share Fractint tips, tricks, and techniques, or to wax poetic about other fractal software. Archive: ftp://ftp.xmission.com/pub/lists/fractint/archive/ FRACTINT-DIGEST, (same as above except for list name, this is a single email sent containing the last several postings). Subscription Address: fractint-digest-request@xmission.com PHILOFRACTAL, The Fractal Philosophy Discussion List Administrator: Mary Tupper (Xylen) Subscription Address: philofractal-subscribe@lists.fractalus.com (previously at majordomo@icd.com or was it at philofractal-request@icd.com with the body of your email message: subscribe philofractal) Unsubscribe: philofractal-unsubscribe@lists.fractalus.com Posts: philofractal@lists.fractalus.com Description: This mailing list is for the discussion of fractal philosophy. This includes science and religion, at least in their non-dogmatic aspects, and the way they relate to fractals. This list will have broader limits than the three current fractal lists. Archive: Send a message to with "index philofractal" in the BODY of the message (older postings may be found at http://www.fractalus.com/ftp/pub/lists/philofractal/ ) Help: Send a message to FRACTELITE-LIST, The Fractal Elite Mailing List Administrator: Terry W. Gintz Subscription Address: fractelite-list-request@terindell.com Posts: fractelite-list@terindell.com Description: This mailing list was designed expressly as a forum for users of TWG's set of fractal programs (Fractal Elite, Fractal Commander, Fractal Agent, and ZPlot). This is a forum for wish lists, technique and par file sharing. Archive: ftp:// FRAC-L, Forum on Fractals, Chaos, and Complexity Administrator: Ermel Stepp Subscription Address: listproc@archives.math.utk.edu (body of your email message: SUBSCRIBE FRAC-L Your_first_name Your_last_name (substituting your actual first/last names, of course). Posts: frac-l@archives.math.utk.edu Description: The purpose of FRAC-L is to be a globally networked forum for discourse and collaboration on fractals, chaos, and complexity in multiple disciplines, professions, and arts. Archive: http://archives.math.utk.edu/hypermail/frac-l/ or ftp://archives.math.utk.edu/teaching.materials/fractals/ FRAC-L, Forum on Fractals, Chaos, and Complexity Administrator: David D. Lester Subscription Address: LISTSERV@GITVM1.GATECH.EDU (body of your email message: subscribe frac-l) Posts: FRAC-L@GITVM1.GATECH.EDU Description: Mailing list dedicated to the computer graphical generation of fractal images. In conjunction with the list, an archive of programs submitted by users will be maintained. Mr. Homer Smith of "Art Matrix" in Ithaca, New York, has donated a program library, which will soon be available from LISTSERV at GITVM1. Archive: ftp:// FRACTDEV, Fractint Developer's Discussion List Administrator: Tim Wegner (was ) Subscription Address: majordomo@lists.xmission.com (body of your email message: subscribe fractdev) Posts: fractdev@lists.xmission.com Description: The purpose of this list is to facilitate communication between developers working on the freeware program Fractint and it's ports. For years the hub of Fractint's development has been CompuServe (currently GO FRACTAL). While that is likely to remain so for the future, this list should enable developers not on CompuServe to participate more easily. Archive: ftp://ftp.xmission.com/pub/lists/fractdev/archive/ FRACTDEV-DIGEST, (same as above except for list name, this is a single email sent containing the last several postings). Subscription Address: fractdev-digest-request@xmission.com FRACPROGRAMMERS, The Fractal Programmers Discussion List Administrator: Terry W. Gintz Subscription Address: fracprogrammers-list-request@terindell.com Posts: fracprogrammers-list@terindell.com Description: Thanks to the net skills and resources of Melissa D. Binde, there is now a fractal programmer's mailing list. Archive: ftp:// ULTRA FRACTAL, The Ultra Fractal Discussion List Administrator: Frederik J. Slijkerman Subscription Address: ultrafractal-subscribe@lists.fractalus.com (previously at majordomo@icd.com with the body of your email message: subscribe ultrafractal) Posts: ultrafractal@lists.fractalus.com Description: This mailing list is open to all individuals/organizations interested in all aspects of the program "Ultra Fractal" written by F. J. Slijkerman. It is a 32-bit fractal plotter for Windows 95/NT featuring multi-threading, multiple documents, and multiple layers. Also has many other features that include a formula compiler compatible with Fractint. The website and download area may be found at the following URL: http://www.ultrafractal.com/ Archive: Send a message to or try: http://www.fractalus.com/ftp/pub/lists/ultrafractal/ Info: http://www.parkenet.org/jp/ufresources.html ULTRA FRACTAL DIGEST, (same as above except for list name, this is a single email sent containing the last several postings). Subscription Address: ultrafractal-digest-subscribe@lists.fractalus.com CHAOS THEORY, http://www.onelist.com/subscribe.cgi/caostheory/ Administrator: Subscription Address: caostheory-subscribe@onelist.com Unsubscribe Address: caostheory-unsubscribe@onelist.com Posts: caostheory@onelist.com Description: This list refers to everything about chaos theory, complex dynamics research and its applications in any field: math, physics, biology, medicine, neuroscience, phisiology, heart research, chemistry, philosophy, psychology, arts, metaphisic, economy, finance, termodynamics, and so on. QUAT MAILING LIST, http://www.egroups.com/group/quat/ Administrator: Dirk Meyer Subscription Address: quat-subscribe@eGroups.com Unsubscribe Address: quat-unsubscribe@eGroups.com Posts: quat@eGroups.com Description: For everything that has to do with the free software "Quat", which generates 3d quaternion fractals. Discussions about how to use it, sharing of images generated with it and about further development of Quat. HOP - Fractals in Motion, http://www.onelist.com/community/hopfractals Administrator: Michael Peters List-Owner: hopfractals-owner@onelist.com Subscription Address: hopfractals-subscribe@onelist.com Unsubscribe Address: hopfractals-unsubscribe@onelist.com Posts: hopfractals@onelist.com Description: For everything that has to do with the free software. Fractal Science, http://globelists.theglobe.com/science_technology/mathematics/fractal-L/list.taf Administrator: Roger L. Bagula List-Owner: tftn@earthlink.net Posts: fractal@globelists.com Description: Toptics concerning dynamics, chaos and fractals; and mathematical computer graphics. Fractal Encounters, http://gwfa.listbot.com/ Administrator: Gerald W.F. Albrecht Description: For updates of images or Ultra Fractal formulas. Gerald W. F. Albrecht http://gwfa.listbot.com/ ------------------------------------------------------------------------ Yahoo Clubs and eGroups (URL alphabetical order): 45 lines ------------------------------------------------------------------------ http://clubs.yahoo.com/clubs/chaosandfractals http://clubs.yahoo.com/clubs/fractalfinanceformetastock http://clubs.yahoo.com/clubs/fractalmelodycontouralgorithm http://clubs.yahoo.com/clubs/fractalpalace http://clubs.yahoo.com/clubs/fractalpatterns2000 http://clubs.yahoo.com/clubs/fractals http://clubs.yahoo.com/clubs/fractalsinnature http://clubs.yahoo.com/clubs/fractalsrus http://clubs.yahoo.com/clubs/fractomania http://clubs.yahoo.com/clubs/ilovefractals http://clubs.yahoo.com/clubs/psychadelicpics http://clubs.yahoo.com/clubs/quaternian3dfractals http://clubs.yahoo.com/clubs/thefractalspace http://groups.yahoo.com/group/aartika http://groups.yahoo.com/group/algorythms http://groups.yahoo.com/group/ArtofFractal http://groups.yahoo.com/group/CellularAutomata_Fractals http://groups.yahoo.com/group/chaospro http://groups.yahoo.com/group/cnfractal_music http://groups.yahoo.com/group/FEUsers http://groups.yahoo.com/group/frac_codes http://groups.yahoo.com/group/fractalantenna http://groups.yahoo.com/group/fractal-art http://groups.yahoo.com/group/fractal-world http://groups.yahoo.com/group/fractalcomp http://groups.yahoo.com/group/fractali http://groups.yahoo.com/group/fractalkorea http://groups.yahoo.com/group/fractalmarketing http://groups.yahoo.com/group/fractaltunesmithy http://groups.yahoo.com/group/fractalvision http://groups.yahoo.com/group/fractint http://groups.yahoo.com/group/fractdev http://groups.yahoo.com/group/fractenna_development http://groups.yahoo.com/group/galaxy-fractal http://groups.yahoo.com/group/mathcad-club http://groups.yahoo.com/group/mbfractals http://groups.yahoo.com/group/mbfusersgroup http://groups.yahoo.com/group/nanofractal http://groups.yahoo.com/group/NewMusicParadigm http://groups.yahoo.com/group/Phalompe-Fractal http://groups.yahoo.com/group/QuaSZ http://groups.yahoo.com/group/venharis http://groups.yahoo.com/group/vue-desprit-fans http://groups.yahoo.com/group/xenodreamers http://groups.yahoo.com/group/xenodreampix http://groups.yahoo.com/group/xenolab ------------------------------------------------------------------------ CHAT Related References (URL alphabetical order): 3 lines ------------------------------------------------------------------------ http://home.att.net/~Paul.N.Lee/Fractals_Chats.txt http://home.att.net/~Paul.N.Lee/ICQ_List.txt http://planetall.homestead.com/tftn/ ------------------------------------------------------------------------ Online Documentation (URL alphabetical order): 55 lines ------------------------------------------------------------------------ ftp://anonymous@rtfm.mit.edu/pub/usenet/news.answers/fractal-faq http://archives.math.utk.edu/topics/fractals.html http://cassiopaea.org/quantum_future/papers/garda.htm http://faqs.colombianet.net/sci/fractals-faq/ http://forum.swarthmore.edu/library/topics/fractals/ http://fractal.mta.ca/sci.fractals-faq/ http://homepages.force9.net/calresco/ http://hypertextbook.com/chaos/ http://library.advanced.org/11679/ http://library.thinkquest.org/3493/main.html http://linas.org/art-gallery/escape/escape.html http://math.bu.edu/DYSYS/FRACGEOM/FRACGEOM.html http://math.bu.edu/DYSYS/FRACGEOM2/FRACGEOM2.html http://members.aol.com/calresco/ http://mitpress.mit.edu/books/FLAOH/cbnhtml/ http://non.com/news.answers/fractal-faq.html http://pass.maths.org/issue11/features/physics_world/index.html ftp://pit-manager.mit.edu/pub/usenet/news.answers/fractal-faq ftp://pit-manager.mit.edu/pub/usenet/news.answers/sci/fractals-faq ftp://rtfm.mit.edu/pub/usenet-by-hierarchy/sci/fractals/ ftp://rtfm.mit.edu/pub/usenet/news.answers/fractal-faq ftp://rtfm.mit.edu/pub/usenet/news.answers/sci/fractals-faq/ ftp://rtfm.mit.edu/pub/usenet/sci.fractals/ http://spanky.triumf.ca/pub/fractals/docs/SCI_FRACTALS.FAQ http://spanky.triumf.ca/www/quartet-info.html http://spanky.triumf.ca/www/whats-new.html http://sprott.physics.wisc.edu/pickover/home.html http://sprott.physics.wisc.edu/sprott.html http://tftnrlb.tripod.com/ http://webpages.marshall.edu/~stepp/fractal-faq/faq.html http://w1.111.telia.com/~u11109996/CubTut/cubictut.html http://www.ceremade.dauphine.fr/~vojak/ http://www.chaos-theorie.de http://www.cis.ohio-state.edu/hypertext/faq/usenet/fractal-faq/faq.html http://www.cis.ohio-state.edu/hypertext/faq/usenet/sci/ http://www.columbia.edu/~gae4/chaos/ http://www.cribx1.u-bordeaux.fr/fractals/faq/ http://www.cygnus-software.com/theory/theory.htm http://www.ealnet.com/ealsoft/fracted.htm http://www.eecs.wsu.edu/~hart/ http://www.efg2.com/Lab/FractalsAndChaos/ http://www.geocities.com/CapeCanaveral/5003/ http://www.home.aone.net.au/sci-gal/sci-gal.htm http://www.ipm.sci-nnov.ru/~DEMIDOV/MSet/Contents.htm http://www.lib.ox.ac.uk/internet/news/faq/sci.fractals.html http://www.mta.ca/~mctaylor/sci.fractals-faq/ http://www.olympus.net/personal/dewey/mandelbrot.html http://www.shop.de/priv/hp/3133/fr_4d.htm http://www.swin.edu.au/astronomy/pbourke/ http://www.swin.edu.au/chem/bio/fractals/refslist.htm http://www.teknet.net.au/~plavers/ http://www.ugr.es/CRYSLAB/Fractals.html http://www.users.zetnet.co.uk/rgirvan/udo.htm http://www.worldscinet.com/fractals/fractals.shtml http://www3.bc.sympatico.ca/moormank/abstract.html ------------------------------------------------------------------------ Disscussed Within ART (URL alphabetical order): 1 lines ------------------------------------------------------------------------ http://perso.wanadoo.fr/charles.vassallo/en/art/sommaire.html ------------------------------------------------------------------------ Books, Magazines, Articles, etc. 213 lines ------------------------------------------------------------------------ For a more complete list, you might want to do a Search on "Fractal" or "Chaos" at the following website: http://www.amazon.com/ http://www.astro.virginia.edu/~eww6n/books/Fractals.html Fractalia Magazine - Applied Mathematics and Recreational Computing. A lot of things about Fractal Theory, Chaos Theory, Dynamic Systems and more from Marius-F. Danca, editor. Website at: http://www.scs.ubbcluj.ro/~tt7316/fractalia/ or (mirror pages): http://members.tripod.com/~fractalia/ http://pages.codec.ro/fractalia/ http://bavaria.utcluj.ro/~mdanca/fractalia/ or e-mail: Fractals: Complex Geometry, Patterns, and Scaling in Nature and Society http://www.worldscinet.com/fractals/fractals.shtml Journals of the the latest developments in scientific research, providing prompt responses to the scientific community's demand for publication in rapidly advancing fields since 1993. Journals in full text are now available in downloadable PDF files. All abstracts are available in HTML format and can be accessed freely. The Chaos Hypertextbook http://hypertextbook.com/chaos/ It's a compact, four chapter book for those with a little bit of mathematical knowledge and a big curiosity about fractals and chaos. Of particular interest are the resource pages, essays, software, etc. "Fractal Art", by Liu Huajie http://www.phil.pku.edu.cn/personal/huajie/fractalart/html/artengb.htm Published by Hunan Science & Technology Press, Changsha, Hunan Province, P.R.China,1998. (255 text pages with about 100 black-white figures; plus 32 pages containing 40 color figures) "The Computational Beauty of Nature", by Gary William Flake Computer Explorations of Fractals, Chaos, Complex Systems, and Adaptation http://mitpress.mit.edu/books/FLAOH/cbnhtml/ "The Mandelbrot and Julia sets Anatomy" http://www.people.nnov.ru/fractal/MSet/Contents.htm or http://www.ipm.sci-nnov.ru/~DEMIDOV/MSet/contents.htm "Chaos and Fractals: A Computer Graphical Journey" (Ten Year Compilation of Advanced Research) by Cliff Pickover, 1998. "The Science of Fractal Images" (Peitgen, 1988). "Chaos and Fractals: New Frontiers of Science", by Heinz-Otto Peitgen, Dietmar Saupe, H. Jurgens (Contributor), L. Yunker (Contributor). It covers most everything: M-set, dynamical systems, bifurcation diagrams, L-systems, etc. "Chaos: Making a New Science", by James Gleick (Paperback - December 1988). "The Fractal Geometry of Nature" by Benoit B. Mandelbrot. "The Algorithmic Beauty of Plants", by Aristid Lindemayer & Przemyslaw Prusinkiewicz. "Dynamical systems and fractals" by Becker & Dorfler. "Fractal Music, Hypercards and More" by Martin Gardner. "Fractal Geometry" by Edgar "Fractal Geometry" by Falconer "Fractals, Chaos & Power Laws" by Schuster "Fractals Everywhere" by Michael Barnsley (a college text book). "Fractal Programming in Turbo Pascal" Roger T. Stevens (1990) M & T Books "Iteration des polynomes quadratiques complexes" by A. Douady and J. H. Hubbard, CRAS Paris 294 (1982) 123-126. "Complex Variables and Applications, 5th Edition" by Churchill and Brown. "Difference Equations" by Kelly and Peterson. Brooks, R, Matelski, J. P. (1981) The dynamics of 2-generator subgroups of PSL(2,C). In Riemann Surfaces and Related Topics: Proceedings of the 1978 Stony Brook Conference. Kyra, I. and Maskit, B. (eds.) Princeton University Press: New Jersey. "Complex Dynamics", Lennart Carleson and Theodore W. Gamelin. Springer-Verlag (1993), New York. Functions-of-complex-variables; Mappings-Mathematics; Fixed-point-theory. "Iteration of Rational Functions: Complex Analytic Dynamical Systems", Alan F. Beardon. Springer-Verlag (1991), New York. Iterative-methods-Mathematics; Mappings-Mathematics. James D. Murray. How The Leopard Gets Its Spots / March, 1988 / page 80 US, page 62 Intl. Abstract: A single pattern-formation mechanism could underlie the wide variety of animal coat markings found in nature. Results from the mathematical model open lines of inquiry for the biologist. Subjects: Chladni patterns, embryonic development, leopard, mathematical models, melanocytes, morphogens, reaction-diffusion mechanism, Turing. Crowe, W., Hasson, R., Rippon, P., Strain-Clark, P. (1989) On the structure of the Mandelbar set. Nonlinearity. 2: 541-553. "Chapter 27, Turning a Universe Inside-Out" in Pickover, C. (1992) Computers in the Imagination. St. Martin's Press: New York. Hardbound books: "Fractals for the Classroom", National Teachers of Mathematics; Part I: Introduction to Fractals and Chaos; ISBN 0-387-97041-X, $38.50 Part II: Complex Systems and Mandelbrot Set; ISBN 0-387-97722-8, $38.50 --Maletsky et al http://poweredge.nctm.org/nctm/index.icl "Chaos and Fractals: New Frontiers of Science", by Springer; ISBN 0-387-97903-4, $64.95. http://www.springer-ny.com/ Softbound books: "Fractals for the Classroom", National Council of Teachers of Mathematics Strategic Activities, Vol. 1; ISBN 0-387-97346-X, $24.50 Strategic Activities, Vol. 2; ISBN 0-387-97554-3, $24.50 Strategic Activities, Vol. 3; ISBN 0-387-98420-8, $23.95 http://poweredge.nctm.org/nctm/index.icl Fractals - Images of Chaos Hans Lauwerier; published in UK by Penguin Books. Fractals by Hans Lauwerier, Princeton Science Library Fractal Vision by Dick Oliver, Sams Fractal Horizons : The Future Use of Fractals Clifford A. Pickover; (1996) Hardcover Price: $20.97 Chaos in Wonderland : Visual Adventures in a Fractal World Clifford A. Pickover; (1994) Hardcover Price: $20.97 Clifford A. Pickover; (1995) Paperback Price: $15.16 Computers, Pattern, Chaos and Beauty : Graphics from an Unseen World Clifford A. Pickover; (1991) Paperback Price: $19.95 Mazes for the Mind : Computers and the Unexpected Clifford A. Pickover; (1992) Hardcover Price: $23.07 Visions of the Future : Art, Technology and Computing in the Twenty-First Century Vol 1 Clifford A. Pickover; (1994) Paperback Price: $13.56 The Loom of God : Mathematical Tapestries at the Edge of Time Clifford A. Pickover; (1997) Hardcover Price: $29.95 Frontiers of Scientific Visualization Clifford A. Pickover; (1994) Hardcover Price: $44.95 Spiral Symmetry Clifford A. Pickover; (1992) Hardcover Price: $61.00 The Pattern Book: Fractals, Art, and Nature Clifford A. Pickover; (1995) Hardcover Price: $51.00 (Back Ordered) Fractals: A Pattern Book Clifford A. Pickover; (1992) Paperback (Hard to Find) Visions of the Future : Art, Technology and Computing in the Twenty-First Century Clifford A. Pickover; (1992) Hardcover (Hard to Find) A Course in Modern Geometries, 2nd Ed.--Judith N. Cederberg (ISBN 0-387-98972-2) Advanced Fractal Programming in C--Stephens Advances in the Complex Variable Boundary Element Method--Hromadka, Whitley (ISBN 3-540-76194-2) Archimedes' Revenge--Hoffman Attractors, Biffurcations, and Chaos--Toenu Puu (ISBN 3-540-66862-4) Beauty of Fractals, The--Peitgen and Richter Cellular Automata and Complexity--Wolfram Chaos--Alligood, Sauer, Yorke (ISBN 0-387-94677-2) Chaos: A Program Collection for the PC--Korsch & Jodl Chaos and Fractals: The Mathematics Behind...---Amer. Math. Soc. Chaos and Fractals: New Frontiers of Science--Peitgen, Juergens, Saupe (ISBN 0-387-97903-4) Chaos Cookbook, The--Pritchard Chaos for Engineers, 2nc Ed.--Tomasz Kapitaniak (ISBN 3-540-66574-9) Chaos, Fractals, and Dynamics: Computer Experiments...--Devaney Chaos, Fractals, and Noise, 2nd Ed.--Lasota, Mackey (ISBN 0-387-94049-9) Chaos in Dynamical Systems--Ott Chaos in Wonderland--Pickover Chaos: Making a New Science--Gleick Chaos: The New Science--Holte Chaos Under Control--Peak & Frame Chaotic and Fractal Dynamics--Moon Chaotic Dynamics--Baker & Gollub Complex Dynamics--Carleson, Gamelin (ISBN 0-387-97942-5) Computational Statistical Physics--Hoffmann, Schreiber (ISBN 3-540-42160-2) Computers and the Imagination--Pickover Computer Graphics Through Key Mathematics--Huw Jones (ISBN 1-85233-422-3) Computers, Pattern, Chaos, and Beauty--Pickover Critical Phenomena in Natural Sciences--Didier Sornette (ISBN 3-540-67462-4) Curves and Fractal Dimension--Tricot, Mendes France (ISBN 0-387-94095-2) Differential Equations with Applications--Betz, Burcham & Ewing Digital Signal Processing in Telecommunications--Anibal R. Figueiras-Vidal (ISBN 3-540-76037-7) Does God Play Dice? The Mathematics of Chaos--Stewart Dynamical Systems and Fractals--Becker & Dorfler Dynamical Systems with Applications using Maple--Stephen Lynch (ISBN 0-8176-4150-5) Elementary Number Theory--Uspensky & Heaslet Encounters with Chaos--Gulick Essence of Chaos, The--Lorenz Excursions in Number Theory--Ogilvy & Anderson Exploring Chaos--Hall Exploring the Geometry of Nature--Rietman Eye for Fractals, An--McGuire Fantasia Mathematica--Fadiman Fourth Dimension, The--Rucker Fractal and Chaotic Properties of Earthquakes--Christian Goltz (ISBN 3-540-64893-3) Fractal Cosmos: The Art of Mathematical Design--Berkowitz Fractal Creations (1st ed.)--Wegner & Peterson Fractal Creations (2nd ed.)--Wegner & Tyler Fractal Geometry: Math Foundations & Applications--Falconer Fractal Geometry and Computer Graphics--Encarnacao, Peitgen et al Fractal Geometry and Number Theory--Lapidus, van Frankenhuysen (ISBN 0-8176-4098-3) Fractal Geometry and Stochastics--Bandt, Graf, Zaehle (ISBN 0-8176-5263-9) Fractal Geometry and Stochastics II--Bandt, Graf, Zaehle (ISBN 3-7643-6215-4) Fractal Geometry in Architecture and Design--C. Bovill (ISBN 0-8176-3795-8) Fractal Geometry of Nature, The--Mandelbrot Fractal Graphics for Windows--Oliver & Hoviss Fractal Image Compression--Yuval Fisher (ISBN 0-387-94211-4) Fractal Mania--LaPlante Fractal Programming in C--Stevens Fractal Programming and Ray Tracing with C++--Stevens Fractal Vision: Put Fractals to Work for You--Oliver Fractals: A User's Guide ... Natural Sciences--Hastings/Sugihara Fractals and Chaos--Crilly, Earnshaw & Jones Fractals and Disordered Systems, 2nd Ed.--Bunde, Havlin (ISBN 0-387-56219-2) Fractals, Chaos, Power Laws--Schroeder Fractals: Endlessly Repeated Geometrical Figures--Lauwerier Fractals Everywhere (1st ed.)--Barnsley Fractals Everywhere (2nd ed.)--Barnsley Fractals for the Classroom, Part One: Intro...--Maletsky et al Fractals for the Classroom, Part Two: Complex Systems--Maletsky.. Fractals: Images of Chaos--Lauwerier Fractals: The Patterns of Chaos--Briggs >From Five Fingers to Infinity--Swetz >From One to Zero--Ifrah >From Zero to Infinity--Reid Game, Set and Math--Stewart Godel, Escher, Bach--Hofstadter Infinity and the Mind--Rucker Journey Through Genius--Dunham Joy of Mathematics, The--Pappas Loom of God, The--Pickover Magic House of Numbers--Adler Martin Gardner's New Mathematical Diversions from Scientific American Mathematical Magic Show--Gardner Mathematical Tourist, The--Peterson Mathematician's Delight--Sawyer Mathematics Dictionary--James Mathematics: From the Birth of Numbers--Gullberg Mathematics in Civilization--Resnikoff & Wells Mathematics in the Making--Hogben Mathematics: Queen and Servant of Science--Bell Mazes for the Mind: Computers and the Unexpected--Pickover Men of Mathematics--Bell More Joy of Mathematics--Pappas New Scientist Guide to Chaos, The--Hall Of Men & Numbers--Muir Ordinary Differential Equations--Ince Pattern Book, The: Fractals, Art, and Nature--Pickover Real-World Fractals--Finlay & Blanton Recreations in the Theory of Numbers--Beiler Science of Fractal Images, The--Peitgen & Saupe Source Book in Mathematics, A (2 vols.)--Smith Strange Attractors: Creating Patterns in Chaos--Sprott Theory of Numbers--Stewart Turbulent Mirror--Briggs & Peat Turing Omnibus, The--Dewdney Understanding the New Mathematics--Rosenthal What is Mathematics?--Courant & Robbins World of Mathematics, The (4 vols.)--Newman You Are a Mathematician--Wells Your Chance to Win--Levinson ------------------------------------------------------------------------ Fractal Galleries (URL alphabetical order): 352 lines ------------------------------------------------------------------------ http://albums.photopoint.com/j/AlbumIndex?u=72299&a=689825 http://aloha.net/~mdon/ http://alpha.teleriviera.fr/~hugo/fractale.htm http://aragorn.cjb.net/ http://ccrma-www.stanford.edu/~stilti/images/chaotic_attractors/nav.html#fsh 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http://www.exotique.com/fringe/art/chaos.htm http://www.exotique.com/fringe/art/artndx.htm http://www.fatdays.com/fractals/ http://www.fdimentia.kangaweb.com/ http://www.flash.net/~redbeard/ http://www.fortunecity.com/meltingpot/covent/37/fracpic.html http://www.fortunecity.com/roswell/barker/3/Chessiecat.html http://www.fortunecity.com/tattooine/stephenson/5/abpf.html http://www.fortunecity.com/victorian/palette/31/ http://www.fractal-art.com/ http://www.fractaldomains.com/html/gallery.html http://www.fractals.com/fractal_gallery/uwe_kreuger/room1.html http://www.fractalus.com/cheshirecat/gallery.htm http://www.fractalus.com/galleries.htm http://www.fractalus.com/gumbycat/ http://www.fractalus.com/ifl/ http://www.fractalus.com/kerry/ http://www.fractalus.com/sharon/ http://www.fraktalwelt.de/ http://www.freeyellow.com/members5/fractaluniverse/fractalpage1.html http://www.freezone.co.uk/rhull http://www.frii.com/~dboll/fractal.htm http://www.frontiernet.net/~jmb184/ http://www.geocities.com/~ann-s-thesia/fractals/ http://www.geocities.com/~gedeonp/ http://www.geocities.com/~gumbycat/ http://www.geocities.com/Athens/Delphi/2402/fractals.html http://www.geocities.com/Area51/Orion/4798/gallery.html http://www.geocities.com/Area51/Vault/4995/chaos/ http://www.geocities.com/CapeCanaveral/Lab/3825/ http://www.geocities.com/CapeCanaveral/5003/ http://www.geocities.com/CapeCanaveral/9753/ http://www.geocities.com/HotSprings/Spa/6918/fractal.html http://www.geocities.com/Paris/Bistro/9217/ http://www.geocities.com/Paris/Rue/1195/ http://www.geocities.com/Paris/Rue/3542/page2.htm http://www.geocities.com/Paris/5519/gallery1.html http://www.geocities.com/ResearchTriangle/Thinktank/7279/ http://www.geocities.com/SiliconValley/Cable/4917/Fractals/FRACTALMAIN.htm http://www.geocities.com/SiliconValley/Lakes/8447/Fractal.html http://www.geocities.com/SiliconValley/Software/9127/ http://www.geocities.com/SiliconValley/4421/fractals/strange.html http://www.geocities.com/SoHo/Den/2358/ http://www.geocities.com/SoHo/Gallery/4082/my-fractals.html http://www.geocities.com/SoHo/Lofts/2605/ http://www.geocities.com/SoHo/Lofts/5601/ http://www.geocities.com/Soho/Square/6525/ http://www.geocities.com/SoHo/Studios/6648/ http://www.geocities.com/SoHo/Studios/8823/ http://www.geocities.com/SoHo/6971/ http://www.geocities.com/SoHo/7611/ http://www.geocities.com/svermuyten/ http://www.geom.umn.edu/graphics/pix/General_Interest/Fractals/ http://www.glenbrook.k12.il.us/gbsmat/fractals/fractals.html http://www.globalserve.net/~derbyshire/fractals.html http://www.globalserve.net/~jval/ http://www.goshen.edu/~kevin/fractals.html http://www.gwfa.de/fractal/fac99/ http://www.harptree.demon.co.uk/fss/ http://www.hevanet.com/lkuhn/px/ http://www.hiddendimension.com/ http://www.home.aone.net.au/sci-gal/sci-gal.htm http://www.homepages.hetnet.nl/~groeetezjaak/ http://www.hooked.net/~mchris/fractals.htm http://www.ibm.com/Stretch/EOS/fractals.html http://www.iconbazaar.com/fractals/ http://www.ifrance.com/FRACTALS/ http://www.iglobal.net/lystad/fractal-top.html http://www.immrama.com/ http://www.immrama.com/bucklin-gal.htm http://www.ingress.com/~arch/ http://www.itgoesboing.com/ http://www.itsnet.com/~bug/fractals.html http://www.itsnet.com/~bug/fractals/theloop.html http://www.jamspace.org/photo/d_orchid/ http://www.john.r.young.btinternet.co.uk/ http://www.joweber.de/ http://www.kingman-art.com/exhibits/gallery/fractal_forms/01.html http://www.kiwi.gen.nz/~karl http://www.krs.hia.no/~fgill/fractal.html http://www.lanset.com/brla/frac_ndx.htm http://www.lifesmith.com/ http://www.lightlink.com/artmatrix/ http://www.lynescreations.com/ "Masamitsu, Lyne" http://www.mandelbrot.com/ http://www.mannixdesign.com/ http://www.mhri.edu.au/~pdb/fractals/ http://www.mindspawn.com/fractal1.html http://www.mindspring.com/~karen_mc/fractal.htm http://www.mitchellware.com/mitchell/home/fred/fractals/ http://www.mk.dmu.ac.uk/~khcm8ac/ http://www.moeman.com/gallery.htm http://www.multimania.com/warey/fract/ http://www.ncsa.uiuc.edu/Edu/Fractal/Fractal_Home.html http://www.ne.jp/asahi/mugenn/uchuu/ http://www.neosoft.com/~mrdowney/LITTLEFRED.htm http://www.nerdworld.com/users/dstein/nw385.html http://www.neurosim.wisc.edu/~lukeg/lgpage.html http://www.ntu.edu.sg/home/eyqchen/ifsworld/ifsworld.html http://www.organised-chaos.com/ http://www.oz.net/~alden/animfrac/ http://www.ozemail.com.au/~spr/sitework/fractal/fractals.htm http://www.parkenet.org/jp/fractvty.htm http://www.paru.cas.cz/~hubicka/XaoS/gallery.html http://www.perigee.net/~webbyld/byl/fractal.htm http://www.piglette.com/fractals1.html http://www.piripiri.com/galleries.html http://www.primenet.com/~blitzw/fractal/ http://www.primenet.com/~lkmitch/ http://www.quelin.org/ http://www.ramblin.dial.pipex.com/Fractals.htm http://www.ramos.nl/yyfire.html http://www.riq.qc.ca/users/mdessureault/ http://www.rdrop.com/~tblackb/fractal.html http://www.s-scv.ce.edus.si/STROJNA/Zbor/JovanI/selishnik_eng.htm http://www.sb.net/arkangel/ http://www.sci.usq.edu.au/~robertsa/legofracs.html http://www.seas.gwu.edu/faculty/musgrave/art_gallery.html http://www.sf.airnet.ne.jp/josh/eigo.htm http://www.shineout.com/ http://www.smurfinn.com/fractals/fractalart.html http://www.snailgrafx.com/ http://www.sol.com.au/kor/gan.htm http://www.swin.edu.au/astronomy/pbourke/fractals/ http://www.systorm.com/fractal/ http://www.tabletoptelephone.com/~hopspage/ http://www.tamrof.org/fractals/ http://www.tardis.ed.ac.uk/~lard/fc/ http://www.tc.umn.edu/~nguy0505/Fractals.htm http://www.thecat50.freeserve.co.uk/ness/ http://www.thinkpiece.com/ http://www.teknet.net.au/~plavers/ http://www.tony-net.net/pnorthover http://www.top.net/tim/fractal/ http://www.toptown.com/innercircle/gumbycat/ http://www.uni-ulm.de/~s_hschie/omg/omg-frac.htm http://www.unpronounceable.com/graphics/ http://www.users.bigpond.com/FlatArc/ http://www.users.zetnet.co.uk/rgirvan/ http://www.utp.ac.pa/~rperez/ http://www.uvm.edu/~msargent/qsimage.htm http://www.valpo.edu/home/student/jcamp/fractals_gate.html http://www.vector.co.jp/authors/VA017746/ http://www.webdragon.com/fractals.html http://www.widowsweb.com/design/gallery/fractals/ http://www.xmission.com/~legalize/fractals/ http://www.xs4all.nl/~bassie/fractal.htm http://www.zenweb.com/pan/rayn/twg/ http://www.zipworld.com.au/~mikedunn/quart.htm http://www-hs.iuta.u-bordeaux.fr/louvet/ http://wwwcip.rus.uni-stuttgart.de/~phy11733/index_e.html http://wwwserv.caiw.nl/~jaccobu/ http://www02.so-net.ne.jp/~cquat/english/ http://www02.u-page.so-net.ne.jp/cb3/stc_mtka/english/design/design1.html http://www2.capcollege.bc.ca/~mfreeman/mand.html http://www3.sympatico.ca/su.gar/Home.html http://3dfractalgate.homestead.com/ ------------------------------------------------------------------------ Tutorials on Software use (URL alphabetical order): 18 lines ------------------------------------------------------------------------ http://davidelaine.50megs.com/sterling_tuts_1.htm http://dreamp.club.fr/did1.htm http://spanky.triumf.ca/www/fractint/preslar.html http://tutorial.fractalfairy.com/ http://www.ambaka.com/sterling/ http://www.arcanefractals.com/tutorial_part1.shtml http://www.chaospro.de/anim.html http://www.chaospro.de/dim.html http://www.fractalarts.com/ASF/tutorials.html http://www.geocities.com/soler97/tz-instr.html http://www.hiddendimension.com/Tutorials_Main.html http://www.lindabucklin.com/flame_tutorial/ http://www.mardiweb.com/web/application/fractals/fractals.htm http://www.mysticfractal.com/quasztutor.zip http://www.Nahee.com/Fractals/index.html (several) http://www.parkenet.org/jp/uftutorials.html http://www.soler7.com/Fractals/tz-instr.html http://www.webofdeb.net/quasz_starter_tutorial.html ------------------------------------------------------------------------ Tutorials on Fractal Creation (URL alphabetical order): 15 lines ------------------------------------------------------------------------ http://fractal.objectweb.org/tutorials/fractal/index.html http://home.san.rr.com/jayrhill/iFAQ/Resource.htm (several) http://home4.swipnet.se/~w-42040/mandel.html http://library.thinkquest.org/26242/full/tutorial/tutorial.html http://math.bu.edu/DYSYS/FRACGEOM/FRACGEOM.html http://math.bu.edu/DYSYS/FRACGEOM2/FRACGEOM2.html http://math.rice.edu/%7Elanius/frac/ http://user.tninet.se/~cim027f/CubTut/cubictut.html http://www.arcytech.org/java/fractals/ http://www.cln.org/themes/fractals.html http://www.ddewey.net/mandelbrot/ http://www.fractalarts.com/ASF/Tutor1.html http://www.geocities.com/CapeCanaveral/2854/ http://www.hypertextbook.com/chaos/ http://www.Nahee.com/Fractals/index.html http://www.people.nnov.ru/fractal/MSet/Contents.htm ------------------------------------------------------------------------ Various Other Information (URL alphabetical order): 5 lines ------------------------------------------------------------------------ http://cassiopaea.org/quantum_future/papers/qifs.htm http://home.coqui.net/storjorn/ http://home.coqui.net/storjorn/Opinion/My_fractals.html http://www.mysticfractal.com/fractalvizion_trial.zip http://www.mysticfractal.com/fractalzplot_trial.zip ------------------------------------------------------------------------ Definitions: ------------------------------------------------------------------------ American Heritage Dictionary ---------------------------- frac·tal (frâk´tël) n. A geometric pattern that is repeated at ever smaller scales to produce irregular shapes and surfaces that cannot be represented by classical geometry. Fractals are used especially in computer modeling of irregular patterns and structures in nature. [French, from Latin fractus, past participle of frangere, to break. See FRACTION.] American Heritage Dictionary ---------------------------- cha·os (kày'ös´) n. 1. A condition or place of great disorder or confusion. 2. A disorderly mass; a jumble: The desk was a chaos of papers and unopened letters. 3. Often Chaos. The disordered state of unformed matter and infinite space supposed in some cosmogonic views to have existed before the ordered universe. 4. Obsolete. An abyss; a chasm. [Middle English, formless primordial space, from Latin, from Greek khaos.] --cha·ot'ic (-öt'îk) adj. --cha·ot'i·cal·ly adv. 1. A lack of order or regular arrangement: a. confusion b. mess c. disorder d. turmoil e. jumble f. disarray g. scramble h. disorderliness i. disorganization j. clutter k. disarrangement l. mix-up m. muddle n. snarl o. topsy-turviness