Fractal Links
All kinds of links to resources for learning about fractals
Explorer's Post 631 Fractals Learning Ideas for 20052006
 New Stuff
 List of links about chaos theory and fractals
 http://hypertextbook.com/chaos/92a.shtml  best site to learn about fractals
 http://hypertextbook.com/chaos/94.shtml  great gallery
 Mac OS X Fractal stuff
 http://www.fractaldomains.com/html/sites.html  gallery
 http://math.rice.edu/~lanius/frac/  best for high school
 http://thinks.com/java/fractree/fractree.htm  Java fractal tree
 http://www.mrob.com/pub/muency.html  new good site
 http://members.ozemail.com.au/~davesag/snd.html  fractal music
 http://www.aliceia.de/art/fractal/fractal00.htm  nice gallery of art
 http://climate.gsfc.nasa.gov/~cahalan/FractalClouds/Movies/Movies.html  fractal clouds
 http://cs.unm.edu/~joel/PaperFoldingFractal/paper.html  paper folding fractals
 http://www.fractalus.com/info/layman.htm
good layman's description of fractals
 http://astronomy.swin.edu.au/~pbourke/fractals/grandcanyon/  natural fractals in Grand Canyon
 http://xaos.sourceforge.net/english.php  new fractal app  free!
 http://www.ultrafractal.com/purchase.html  very popular but not free  "The program I am using the most right now is Ultra Fractal (screen shot shown above). This program allows the user to create multilayered fractals within the program. It has extensive help files, and there are many resources on the Ultra Fractal web site, such as tutorials and a mailing list you can join"
 http://www.chaospro.de/
 Chaos Pro  free
 http://www.aswsoftware.com/products/msplotter/msplotter.shtml  supposedly good free Windows app
 http://www.eclectasy.com/FractalExplorer/ Fractal Explorer  free and looks impressive
 http://www.fractalfairy.com/~feusers/tutorials/landscapes/index.html  Fractal landscapes
 http://www.fractalfairy.com/~feusers/tutorials/fe_tutorial/index.html  fractal tutorial
 http://www.fractallandscapes.com/  fractal landscapes
 http://ericbigas.com/fractals/  fractal zoom movies
 http://www.gimp.org/  GIMP has a fractal plugin
 http://math.exeter.edu/rparris/winfeed.html ???
 http://home.att.net/~Paul.N.Lee/Fractal_Software.html Awesome set of links to fractal stuff ( more at http://home.att.net/~Paul.N.Lee/Fractal_Links.txt)
 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.]  http://ecademy.agnesscott.edu/~lriddle/ifskit/index.htm IFS Construction Kit can be used to design and draw fractals based on iterated function systems. Here is what you can make with it http://ecademy.agnesscott.edu/~lriddle/ifs/ifs.htm
 http://www.apophysis.org/  interesting fractal app with tutorials
 http://www.renderosity.com/gallery.ez?Start=1&Sectionid=0&Form.Search=Apophysis&Form.Criteria=ALL
Incredible fractals !!!
 http://www.fractalus.com/cheshirecat/  ??
 http://www.electricsheep.org/index.cgi?&menu=samples  gallery
 http://skal.planetd.net/quat/How.ang.html  4d fractals
 http://www.xenodream.com/mainindex.htmnot cheap but awesome
 http://home.houston.rr.com/fergusonsc/Tierazonv29/ looks complicated
 http://www.eclectasy.com/IterationsetFlarium24/fractal_videos/index.html  fractal videos
 http://www.geocities.com/Paris/Rue/1195/gallery1.html  galleries
 http://www.geocities.com/Paris/Rue/1195/gallery1.html  interactive plotting of newtons' method
 http://www.enchgallery.com/fractals/fracthumbs.htm  gallery
 http://ccrmawww.stanford.edu/~stilti/images/chaotic_attractors/nav.html  gallery
 http://www.math.union.edu/research/fractaltrees/FractalTreesAnim.html  Animations of fractal trees
 http://www.math.union.edu/research/fractaltrees/FractalTreesAnim.html  Fractal tree applet
 http://www.batchconverter.com/TreeGeneratordownload6256.shtml Windows fractal tree gen
 http://www.batchconverter.com/VirtualFlowerdownload990.shtml  Windows fractal tree gen
 http://www.coolmath4teachers.com/links_fractals.htm  links for teachers
 Look at sci.fractals
 http://www.math.sunysb.edu/dynamics/programs/index.html Here you will find a list of different programs to aid in the generation of pictures associated to different dynamical processes.
 http://freshmeat.net/articles/view/827 Review of Linux fractal programs.
 Mailing lists Or these EMail Discussion Lists: FRACTALART, The Fractal Art Discussion List Subscribe: fractalartsubscribe@lists.fractalus.com Posts: fractalart@lists.fractalus.com 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. PHILOFRACTAL, The Fractal Philosophy Discussion List Subscribe: philofractalsubscribe@lists.fractalus.com Unsubscribe: philofractalunsubscribe@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 nondogmatic aspects, and the way they relate to fractals. This list will have broader limits than the three current fractal lists. FRACTINT, The Fractals and Fractint Discussion List Subscribe: 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 MSDOS 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.
 http://wwwrocq.inria.fr/fractales/ Some Fractal applets
 http://www.calresco.org/tutorial.htm FAQs, Introductions and Tutorials
 Very complete list of links from Fractals Unleashed"
 David Strohbeen's Fractal Music links good but not annotated other than it is grouped.
 Novak's resources list  short but only good ones!!! **
 Links2Go  good list but confusing interface!
 Fractal World Lsystem links  most complete list I have seen but not much there."
 Fractal Wonderland good list!
 LSystems links among other things
 Links to LSystems  most are dead links!
 http://classes.yale.edu/fractals/index.html GREAT site!!! Here we introduce some basic geometry of fractal sets, with emphasis on the Iterated Function System (IFS) formalism for generating fractals. In addition, we explore the application of IFS to detect patterns, and also several examples of architectural fractals.
 Good explanation of the math behind one fractal
 Fractal Arts Very nice site! Tutorials, software listings, lots of examples.
 http://astronomy.swin.edu.au/~pbourke/fractals/ Interesting examples of fractals by Paul Bourke
 http://virtualexp.net/ Java2 Fractal Applets A number of these Java2 applets play with fractals. We liked some, but found the 3D world efforts lacking in realism and substance. Some of these applets might serve as remarkably hypnotic screensavers, were it not for the static copyright notices prominently emblazoned at the bottom of the programs.
 http://www.chaffey.org/fractals/theory/index.html Fractal Theory & Technical Resources from Chaffey High
 LSystem Plant Geometry Generator  http://www.tc.cornell.edu/Visualization/contrib/cs49094to95/hwchen
 http://freshmeat.net/articles/view/827/ Freshmeat article on Fractal software
 Fractals Unleashed List of Fractal Types  very complete!!
 Fractals Unleashed great list and examples of applications
 Fractals Unleashed Famous Fractals List Great list!
 Fractals Unleashed  tremendous site with applets, animations, lessons ******************
 Fractals 101 by David Strohbeen One page explaining concepts behind fractals including applets! Because the applets are slow, it is hard to use the is page!
 Fractory  Basic Info on Fractals Good basic info on how fractals are created
 S Novak's site with tips on creating fractals features tips on Fractal eXtreme. Lots of good info here !!!!! *******
 Sci.fractal FAQ
 The Mandelbrot Set kind of a good explanation of how to compute and display the set and a tour of the set
 Fractal Terrain Tutorial  excellent. Nice pictures****
 LSystems tutorial  http://www.csu.edu.au/complex_systems/tutorial2.html
 Really nice tutorial ! Especially good for LSystems! The key to open the boxes is: "Fract"
 Summary of Fractal Types  great list !!! Shows all of the equations

Linda
Allison's Fractint tips  very good! ***
 Fractint Tips  where to start from Linda Very nice explanation of how she looks for neat parts of fractals ***
 Fractint Color Map Tips by Linda Very nice explanation of colormaps with examples. ***
 Fractal Mountains  Nice simple applet showing how a fractal landscape is created iteratively. Explanation that surrounds it is good too.
 Fantastic Fractals  great, great site! Includes tutorials, software. Simple for high schoolers. Also, http://www.techlar.com/fractals/websys.exe?file=index.html
 Very nice applet showing graphical analysis of iteration for the Mandelbrot set **** Very good and simple ..clearly shows different cases
 Very nice applet of the Chaos Game ****
 Fractalina Another very nice applet demonstration IFS contraction mappings. Makes neat animation3s! Easy, works well,is fast ****
 Fractint LSystems TutorialGood fairly simple info on using Fractint for LSystems
 http://www.cln.org/themes/fractals.html
 Do a search for fractal applets
 Java Applet  very nice!  Kind of comlicated and definitely slow!
 Nifty Java Applet for making fractals and links to good sites with fractal info  very slow and not much control
 Fractal Microscope  Great! Easy to use forms or applets to look at Gasket, Juiia Sets, or the Mandelbrot set  requires some understanding of coordinate systems too!
 The Shodor Education Foundation Activities  Awesome collection of applets for all kinds of fractal stuff. Must use this! Mandy is very nice!
 Incredible collection of links to sites with indications of what level ( high school, undergrad,...) !!!
 A Fractals Unit for Elementary and Middle School Students  has some pencil and paper activities too
 Types of Fractals  very nice simple one page example
 Good lesson plans but more for the math aspect of fractals. No computer work at all that I could see.
 Fractals in Layman's terms
 Tutorial for using LParser Good. Simple
 Internet Mathematics Library LOTS of links!
 Good simple explanation of Fractals
 The Natural Geometry of Nature  A nicely done explanation complete with excellent Java applets !
 Fractals in Nature If you've ever wondered how such intricate patterns emerge in a snowflake, you need to see the Dance of Chance. The gallery, a collaboration between the Center for Polymer Studies and the Boston Museum of Science, looks at the emergence of patterns in nature from physical and biological processes. Fractal patterns in nature develop from processes as small as the growth of bacteria on agar or as large as the erosion patterns of large rivers, but their astounding delicacy and similarity is undeniable. Handson experiments include studying the Lichtenberg patterns that form when air is forced into a gooey fluid (which you can do in person at the museum, but view online) and observing the feeding trails of termites in sand. One of the coolest things is the description of how electrocardiogram data is used to produce music that you can play in MIDI format at the Web site. That project grew out of a sound (yeah, a pun) cardiology study on looking at such data to determine health.
 Uses of fractals
 Simple paper and pencil activities
 Chaos Hypertextbook Excellent!!!! Very math oriented, though. Does show tables with iterations, which is fairly unique and nice for explaining things in terms of the real numbers.
 An Introduction to Fractals by Paul Bourke  great, but again math and physics oriented
 Annotated set of Chaos Links  Awesome!!! Best I have seen.
 What is a Fractal ?
 Fractovia Links Page  great again! Including galleries, tutorials, software lists
 Ultra Fractal tutorial  looks very good!
 Fractint Tutorial  looks good
 The Chaos Theory  overview of chaos theory with annotated links. Thanks to Elizabeth Bailey for pointing this out to me
 Fractals  A History  very good!!!!
 Fractal Explorer  very good explanations of how to create fractals including a guide tour of zooming the Mandelbrot Set
 InterFACE Project"OK set of pages. The lessons are pretty good at explaining the math behind fractals

*************************
Fractal Magnets May Fracture Old
Technologies
December 13, 2002
*************************
Plastic magnets with fractal
magnetic field may one day be the
heart of computer hard drives small
enough to power nanotechnologybased
devices. Plastics with fractal
magnetic fields "may provide ways to
store a high density of information"
in a very small space because of
their intensely...
http://www.kurzweilai.net/email/newsRedirect.html?newsID=1467&m=1310  What is a Fractal by a high school student
 Definition of Fractal from CRC Encyclopedia of Math
 2D LSystems by Robert Dickau  nice explanation and great color drawings and examples of L systems. Must use!!!! Part of more Chaos and fractal pages with nice graphics and Mathematica code
 Fat Days: L Systems more good examples of simple 2d LSystems and the rules to create them
 http://flam3.com/index.cgi?&menu=about Fractal Flames are algorithmically generated images and animations. The software was written in 1992 and released as open source, aka free software. It has been incorporated into many graphics programs and ported to most operating systems. The shape of each image is specified by a string of numbers  a genetic code of sorts.
 http://www.chaospro.de/ this website is the home of ChaosPro, a freeware fractal generator for the Microsoft Windows operating system, able to create beautiful images based on mathematical formulas. Great!!!! Includes good docs
 http://www.coolfreesoftware.com/fractal/fractal_d.shtml Fractal Artist: Fractal Artist is a powerful application to draw and zoom the Mandelbrot fractal.B Create your own custom fractal and select your favorite color scheme.B View at any resolution and view the Julia set for any point.B Fractal artist makes it simple to copy, print or save any fractal  make your own fractal wallpaper or amazing images for your website!
 http://www.inetarena.com/~pdx4d/ocn/fractals.htmlPython code for fractals
 Mathematica Explorer Online  Mandelbrot and Turtle graphics via the web
 Galapago is a program that uses basic LOGO language syntax and Turtle drawing to render Lindenmayer systems (Lsystems). I designed it to help me learn the math techniques described in the book The Algorithmic Beauty Of Plants [Prusinkiewicz and Lindenmayer]. It has since evolved into a tool for executing LOGO scripts, which can be used and expanded upon by programmers, mathematicians and teachers.
 Ultimate Fractals Supposedly fast and easy to use. Also, small
 FractORama
 David Strohbeen's Annoted List of Music Software  excellent!
 Mandelbrot Explorer Simple CGI based, recommended page to do zooming of M Set
 Shodor's Snowflake Applet Great, great applet for showing how to create Koch curve like fracals. Very interactive *****
 Shodor's Sierpinski Applet Great, but complex applet for showing how to create Sierpinski like fracals. Very interactive *****
 Shodor's Fractal Microscope is great for exploring the M Set and seeing the iteration levels for escaping. Also does zooming, shows you the orbits, and more!!!! ********
 From Fractals Unleashed ( all nice but not as controllable as
Shodor's ):
 Koch Fractals and Other Meanders
 Julia applet  nicely shows the relationship between the Mandelbrot Set and Julia Set
 Mandelbrot Set Explorer  nice but slow and only zooming
 Landscape appletVery nice but a little limited in what you can change  only roughness, colormap and shading method. No info on how it is created.
 Random tree applet  very nice. Shows variety you can create. No user control though.
 Fractal music generator applet  looks good, didn't try.
 Fractal Letters CGI based app  neat !"
 Fractal Clusters  a fun app to IFS like stuff Users have good control
 Julien Sprott's Software  eclectic collection small free apps including an interesting one that searches parameter space for IFS fractals!
 Mathematics Archives  Java and other Interactive WWW Pages Huge list !!!
 LStudio very powerful 3D Lsystems app. Too complicated.
 IFS Java Applet Pretty good but would take some doing to understand it

 MathsNet Fractal Landscapes Generator. An applet. Kind of OK but not a whole to play with and doesn't really show what is happening.
 Univ of Calgary LSystems Application Fast, fairly easy to use, extensive applet for creating L SYstems. Uses color!!!
 Great simple applet for showing predefined LSystems in color.
 Fractint I read somewhere that this is too complicated for the novice!
 Fractal Explorer  free, looks nice, lots of docs
 Fractal eXtreme This is the app we used in 20002001. Very nice!
 Ultra FractalFull Windows shareware app. Looks very nice! Fractalus recommends it
 Fantastic Fractals Looks good! Can create LSystems. Windows app. Works with the Fantastic Web site tutorials!! Also have a Java Applet
 Fractal Links on Paul Lee's Web Site huge number of links to all kinds of software
 Huge number of links on the Fantastic Fractals site
 List of Web sites where you can draw your own fractal
 Good comparison of the apps
 Fractal Forge  for Windows, free and nice!
 What file format to save fractals in
 FilmerUses Fractint to make animations
 Annotated List of Fractal Generators for Windows  Outstanding list including LSystems generators. Need to look thry this.
 Utilities for creating color maps
 Annotated List of Music Software  great
 L Systems parser 3D. Looks somewhat complicated but creates neat graphics! Has loads of links to other L systems stuff
 Lsystems applet A very nicely done simple tree generator! Also see
 Nicely annotated list of Mac only apps
 LSystem for Windows Looks great!
 TieraZon A popular fractal generator
 MusiNum  The Music in the Numbers Free fractal music program  lots of links, samples here too. Recommended by others ! ****
 Mark Masse's LSystem Applet  Great, great, simple fast applet for LSystems using color!! We should use this!! Excellent help page too.
 LJava Parser Generator  VRML/Java applet  looks good!
 Microsoft's free Image Composer
 IrfanView32  great image file viewer
 Internet freeware: Graphics  a GREAT list of graphics apps
 http://djfractal.sourceforge.net/ DJFractal is yet another Fractal Generator which uses Mandala to distribute fractal datas to fractal computers. Fractal datas are created locally and distributed to any fractal computers which may be hosted on workstations, Java enabled webbrowser through applets, and even JavaCard (!). DJFractal is highly customizable from schedulers to fractal computers. Hence, DJFractal can be used locally whith a fast fractal computer which uses double precision internally or can be used in a distributed environment using several fractal computers available on the network which use arbitrary precision for the computation extending the limitation of the double precision (E16) to almost infinity (in fact to the sum of the available memory on each host used).
 Painter! Completely free, full featured paint program
 http://draves.org/art.html visual musical instrument, cellular automata, fractals, screen savers, gimp plugins.
 A really active fractal art / digital newsgroup is:alt.fractals.pictures You just have to ask a question or make a comment. One of us will get back to you.
 http://www.chaffey.org/fractals/galleries/index.html  Chaffey High School's FRACTALS on the Web
 FractORama generated  gorgeous ! Nice colors
 Animated Mandelbrot Altas Nice but uses Fractal eXtreme's plugin
 Julien Sprott's Natural Fractal images
 Fractopia fractals that look like faces!
 LJavasite gallery. Very nice VRML images!!!
 Lake FractalAnimated Java applet showing fractal lake. Gorgeous!!!!! She has more great stuff at her home page.
 Great, great, great list of all the sites on the Fractal Web Ring including a tremendous example of a wide variety of gorgeous fractals!
 Spanky Fractal Database Lots of images but looks old. Has some nice ones though. See his favorites.
 Animated Fractals The Fractal Zooms on this site are perfect for the demo and all were created using just Fractint and GIF Construction Set which is perfect for the classroom!!!
 Sprott's Fractal Gallery Loads of nice fractals of all kinds including Animated GIFs and natural fractals !!!!
 Very nice QT movie of fractals
 Fractal Music Lab
 GRC K12 Fractals!
  small animated GIFS but made using his tool
 Fractal Movie Archive  huge number of movies  usually big files. Nicolas Guerin has some nice ones and so does Gerald Edgar.
 Simple, good animated GIFs."
 Very nice Lsystems created using Fantastic Fractals
 African fractals  interesting !
 Fractalus Galleries Some beautiful examples
 Some bizarre fractals from Pickover
 A very neat QT movie of fractals
 Good examples of Fractal Music
 MIDI file of fractal music
 Fractal Images from Fractovia  beautiful!
 Fractalus Art '98 Contents Winners The Best  unbelievably beautiful
 Thinks.com  Great listing of Fractal sites. Annotated
 Beauty of Fractals Beautiful interesting images, many done with Ultra Fractal
 Good review of books about Fractals
 Fractals Unleashed Book list  annotated !!"
 http://www.artmatrix.com/products.html (posters, videos, etc.)
 http://www.lifesmith.com/products.html (many items)
 http://www.nurlnet.com/store.htm (cards and scarves)
 http://www.primenet.com/~rjr/yendor.html (TShirts)
 http://www.refractal.com/ (jewelry)
 http://www.thinkpiece.com/ (posters and prints)
 http://www.xmission.com:8000/~legalize/gift.html (poster)
 http://www.Immrama.com/fprod.htm (prints, cards, etc.)