21. The Geometry Junkyard: Fractals Apollonian Gasket, a fractal circle packing formed by packing smaller circles into each triangular gap formed by three larger circles. From MathWorld. http://www.ics.uci.edu/~eppstein/junkyard/fractal.html

Fractals Allegria fractal and mathematically inspired jewelry. Apollonian Gasket , a fractal circle packing formed by packing smaller circles into each triangular gap formed by three larger circles. From MathWorld. Area of the Mandelbrot set . One can upper bound this area by filling the area around the set by disks, or lower bound it by counting pixels; strangely, Stan Isaacs notes, these two methods do not seem to give the same answer. Balanced ternary reptiles Cantor's hourglass reptile spiral reptile stretchtiles ... trisection of India , the three Bodhi problem , and other Fractal tilings by R. W. Gosper Circle fractal based on repeated placement of two equal tangent circles within each circle of the figure. One could also get something like this by inversion, starting with three mutually tangent circles, but then the circles at each level of the recursion wouldn't all stay the same size as each other. The Curlicue Fractal , Fergus C. Murray. The Dynamic Systems and Technology Project at Boston Univ. offers several Java applets and animations of fractals and iterated function systems. Expansions geometric pattern creation techniques by John S. Stokes III.

22. OnOne Software - Product Details Genuine fractals 5 no longer requires files to be saved in the . Genuine fractals 5 is a revolutionary step forward for image enlargements. http://www.ononesoftware.com/detail.php?prodLine_id=2

23. The Beauty Of Fractal Magic Transformation Three galleries of magic fractal jewels,black and white art and imagination by Isidoros Printezis. http://www.afterzed.com/fractals/

http://www.afterzed.com/fractals Isidoros Printezis - Afterzed FRACTALS GALLERY 1 Imagination GALLERY 2 Jewel GALLERY 3 GALLERY 4 Fractal Photoshop Works GALLERY 5 NEW Latest Fractal Works PHOTOCUBE Fractal Java Photcube BIO EMAIL Site created 11/1/1999 Isidoros Printezis - AfterZed http://www.afterzed.com/fractals/index.com

24. Fractal Frequently Asked Questions And Answers The Usenet newsgroup sci.fractals and the listserv forum fracl are devoted to discussions on fractals. This FAQ (Frequently Asked Questions) is an http://www.faqs.org/faqs/fractal-faq/

MultiPage Fractal Frequently Asked Questions and Answers There are reader questions on this topic! Help others by sharing your knowledge From: stepp@muvms6.mu.wvnet.edu (Ermel Stepp) Newsgroups: sci.fractals stepp@marshall.edu mail-server@rtfm.mit.edu with the message: send usenet/news.answers/fractal-faq The hypertext version of the Fractal FAQ has hyperlinks to sources on the World Wide Web. It can be accessed with a browser such as xmosaic at http://www.cis.ohio-state.edu/hypertext/faq/usenet/fractal-faq/faq.html . Also, the hypertext version is online for review and comment at: http://www.marshall.edu/~stepp/fractal-faq/faq.html . Please suggest other links to add to the Fractal FAQ. For your information, the World Wide Web FAQ is available via: The WWW: http://sunsite.unc.edu/boutell/faq/www_faq.html alt.binaries.pictures.fractals http://www.ncsa.uiuc.edu/Edu/Fractal/Fractal_Home.html Fractal Microscope http://is.dal.ca:3400/~adiggins/fractal/ Dalhousie University Fractal Gallery http://acat.anu.edu.au/contours.html

25. Fractals Of Change Tom Evslin weblog about new technologies, especially in Web 2.0, VoIP, and transportation. http://blog.tomevslin.com/

Fractals of Change nothing great has ever been accomplished without irrational exuberance About Tom Evslin subscribe: via email via RSS via Kindle Reader Lijit Search Recent Posts Kate, Jack, and me Findability in the (un)Social Directory The (un)Social Directory Note to Newbie Jack ... Phew… Made the Deadline Categories Advisory Capital afib Blocknot Blooks ... July 2007 var site="s13fractals" Powered by TypePad Member since 01/2005 technorati Kate, Jack, and me Social networks: tag with del.icio.us digg it reddit Stumble It! ... other social networks April 02, 2008 Permalink Comments (2) TrackBack (0) Blogroll ... Email this post Findability in the (un)Social Directory If you don’t want to be found, you should have the right to remain a hermit. I can’t bring myself to pay Verizon several dollars a month to take me OUT of its 411 and white pages but I don’t want to be there, even though – or especially because – the number they list is attached to the alarm system and neither rings in the house nor has voice mail. Even in the relative privacy of social networks, most of us do leave ways to find us open. The key distinction is that finding us doesn’t mean reaching us. For example, if you’ve registered for Facebook, even people who aren’t your certified friends can find you. They can ask permission to be your friends; they can try to communicate with you. But you don’t have to respond to these requests or accept communication from them. Similarly someone can find you on Skype if they make a few lucky guesses or know your email address – but they can’t see your online status or complete a call to you without your permission. Some people may want to remain truly anonymous, visible only to those to whom they have explicitly given contact permission. Most people, I suspect, want to be findable enough so that a stranger or a long lost friend can ask permission to reach them - something I’d very much welcome your comments on.

26. Graphics Archive - General Interest:Fractals fractals often are associated with natural objects, such as the branchings of a tree, or the tributaries of a stream. A great deal has been written about http://www.geom.uiuc.edu/graphics/pix/General_Interest/Fractals/

Graphics Archive Up Comments General Interest :Fractals Fractals are mathematical objects that typically have the following characteristics a fine structure (detail on abitrarily small scales) too irregular to be described in traditional geometrical language, both locally and globally has some form of self-similarity, perhaps approximate or statistical its "fractal dimension" is greater than its topological dimension is defined in a very simple way, perhaps recursively. Fractals often are associated with natural objects, such as the branchings of a tree, or the tributaries of a stream. A great deal has been written about fractals, and there are several web sites that deal exclusively with fractals (see our list of images on the web). Subgroups: CCL - The cubic connectedness locus (CCL) is a four-dimensional analog of the familiar Mandelbrot set. Clouds - Cloud simulations using spectral synthesis. Henon - The Henon map is a 2-dimensional generalization of the logistic equation. Images: Amoeba Fractal An aperiodic tiling Antoine's Necklace Arbitrary substitution tiling Brot Cheese Fractal DodecaFoam! First Stellation

27. Chaos, Fractals, And Arcadia Article on the mathematical ideas lurking in the background of Tom Stoppard s play Arcadia. Includes examples, illustrations and references. http://math.bu.edu/DYSYS/arcadia/index.html

Chaos, Fractals, and Arcadia Robert L. Devaney Department of Mathematics Boston University Boston, MA 02215 Below you will find an animated description of some of the mathematical ideas lurking in the background of Tom Stoppard's play Arcadia . For access to some of the mathematical software that generates some of the images contained herein, visit the Dynamical Systems and Technology Project at Boston University. To purchase a video involving some of the mathematical ideas in Arcadia, together with a taped discussion by Tom Stoppard, visit the Mathematical Sciences Research Institute at the University of California, Berkeley. Introduction Thomasina's Geometry of Irregular Forms The Chaos Game The Sierpinski Hexagon ... Some pictures from Arcadia We welcome your feedback on this material. Please send any comments or suggestions to Robert L. Devaney at bob@bu.edu Introduction (Next Section) (Return to Dynamical Systems and Technology Home Page

28. Mathematical Imagery By Jos Leys. Numerous Ultra Fractal rendered images, some animated using Java. http://www.josleys.com/

@import "http://www.josleys.com/style.css"; Home Galleries Articles References ... About Latest Galleries : Sculptures Ultrafractal and Povray working together. The shape of Planet Earth Could the Earth have been flat after all? How about cigar shaped? Or do you prefer pear shaped? It seems it is all possible. Just a question of enough spin.. Knots and dynamics A collaboration with Prof. Etienne Ghys of the Ecole Normale Supérieure de Lyon, containing material presented at the International Congress of Mathematicians (Madrid, August 2006) Knots and dynamics animations. A collection of animations where one can see what a matrix looks like in four dimensions, how to make spaghetti using a 'horocycle', and more.. . The Droste effect A collection of images and animations, made with a "Droste effect" image transformation. View all galleries New gallery added Posted on 2008-03-04 14:30 I have added a new gallery , the first in quite a long time.During the past year I have been working on a two-hour animation film, which will be announced here soon. This gallery is an experiment in using data generated in Ultrafractal as input to Povray . Calculations in Ultrafactal are exremely fast, but the raytracing possibilities are limited. Povray, on the other hand calculates very slowly, but has unlimited and fast raytracing. Combining the strong points of the two seemed the obvious thing to try out.

29. Fractals For Mac OS X Program that generates fractal images. Several options for producing striking variations of fractal images, and includes advanced features for producing http://www.fractaldomains.com/

Fractal Domains Exploring fractals with your Macintosh Home Info Gallery Download ... Survey Fractal Domains 2.0.6 (Universal) is here! Get version 2.0.6 at download page ! See the news page for details. DragonlordALS Take our survey! If you are a user of Fractal Domains, help us plan the next version by taking a moment to answer a few questions about your system configuration. FD images at Zazzle! Over the years I have received requests for prints of the images in my gallery. Now you can purchase prints of a wide variety of high resolution images created with Fractal Domains. Choose from these featured images or go to the Fractal Domains Zazzle Gallery to see the full selection. Fractal Domains is a shareware program that generates fractal images. With Fractal Domains you can generate color images of the most popular fractal, the Mandelbrot set, and also generate images of the associated Julia sets. You can also generate an unlimited variety of fractal types based on rational functions, including fractals based on Newton's method and Halley's method. Fractal Domains has many options for producing striking variations of fractal images, and includes advanced features for producing high-quality images.

30. Fractals Galore! fractals by songweaver.com. fractals are images which integrate real and imaginary numbers, producing vivid and fascinating works of art. http://songweaver.com/art/fractals/ring.html

To join the fractals webring you merely need to have a site which is about fractals in some form or another. If you don't know what fractals are, then this probably isn't the right webring for you. This fractals site is owned by Previous 5 Sites Skip Previous Previous Next ... List Sites Submit site to the Fractals webring Site Title: Site URL: Name: E-mail: Password: Please choose a password. (Don't forget it!!) Keywords: Enter up to 20 keywords to describe your site. Description: Enter a short description of your site. To join the ring you'll need sample code on your site somewhere similar to the code that follows: Once the code has been added, you're eligible to be added to the fractals webring. E-mail fractals@songweaver.com with any questions. If you want to include a graphic with your webring code, feel free to use the one at the top of this page, which you can access directly by clicking here , or the one on the right, which is available here . I only ask that instead of referencing an image at my site, you make a copy of it for yourself, so as not to overwhelm my server.

31. Aros Fractals Aros fractals is a free, hires, truecolor fractal program for Windows95, NT and Macintosh. http://www.arosmagic.com/Fractals/

F i lle Download more cool software! Aros Magic Viewer Aros Magic Checkers Aros Magic Reversi Aros Magic Go-Moku/Ninuki-Renju/ Renju Aros Fractals W elcome to the world of Fractals! With Aros Fractals you can explore some classical fractal images at extremely high resolutions (physical size and color depths). For the current version of Aros Fractals and other information, you've reached the correct destination. We are constantly updating information here, so visit often and let us know if there is additional material you would like to see here. System Requirements Minimum All Platforms: Floating Point Unit (FPU). 8-bit video card (256 colors). Sufficient hard disk space to store large images. 486DX/25. 8M RAM. Windows NT: 486DX/25. 16M RAM. Macintosh: 68020. System 7.0. Thread Manager. 8M RAM. (Aros Fractals will let you know if it is missing any additional required components at startup time). Recommended All Platforms: 32-bit video card (True Color) Pentium. 24M RAM.

32. Welcome To The Fractal EXtreme Web Site Home Page for Fractal eXtreme, a Win32 shareware program for fast exploration of the Mandelbrot set and other fractals. http://www.cygnus-software.com/

Fractal eXtreme News: December 2003 a bug fix version of Fractal eXtreme was released. As usual this is a free upgrade for registered customers. November 2003 a bug fix version of Fractal eXtreme was released. As usual this is a free upgrade for registered customers. October 2003 a new version of Fractal eXtreme was released. As usual this is a free upgrade for registered customers. February 2002 a bug fix version of Fractal eXtreme was released. November 2001 a brand new version of Fractal eXtreme was released. This new version has many new features, including antialiased fractals and zoom movies, and an improved way of purchasing Fractal eXtreme January 1, 2001 Improved zoom movie player now has OpenGL support for vastly improved animation quality and much higher frame rates. Download the new zoom movie player here or download all of Fractal eXtreme here Sep 11, 1999 Improved zoom movie player now has colour cycling and .avi frame rate specification. Download the new zoom movie player here or download all of Fractal eXtreme here March 19, 1998

33. Chaffey's Fractal Links On The Web Welcome to the original Chaffey High School s Fractal Links of the Web. These pages where started as a hobby/extra curricular activity back in 1993, http://www.chaffey.org/fractals/

Chaffey High School's FRACTALS on the Web http://www.chaffey.org/fractals/ Last Updated February 28, 2003 This site should be renovated soon, please excuse the webmaster's lack of construction. Welcome to the original Chaffey High School's Fractal Links of the Web. These pages where started as a hobby/extra curricular activity back in 1993, and have grown to be a pretty large website for alumni of Chaffey High School, as well as general links resource for schools. Fractals are very interesting and mathematical occurrences. Chances are, if you have opened your eyes, you've seen Fractals. This site, Chaffey's Fractal Links, is meant as a resource for everybody to use as a tool in search of fractal information, programs, articles and other fractal related pages on the Internet. This page has been up since 1993 and is continuing to grow in content. More will be coming soon... CHS Home Fractals Home About Fractals Awards ... Theory

34. The Fractal Bargain Bin - Wallpapers / Eye Candy / Pretty Stuff Fractal and algorithmic art, free to use for any purpose. Print it, share it, create with it. http://www.sgeier.net/fractals/indexe.php

The infinite fractal loop: Help Next 5 Random ... Penguin Galleries: [Current] [flame-fractals] [all yearly galleries] Writing about Artistic issues Technical stuff The author/artist Welcome The thumbnails on this page are linked to much larger (1280x1024 or 1600x1200) JPG images and you can trust me that the large versions look a lot better than these tiny stamps. Please feel free to check them out. Copyleft X I created these because it pleases me to create them . Go ahead and download them, save them, give them to your friends, print them and hang them on a wall, whatever you want. "Property" is simply not a productive paradigm for art. If you like these images and you do something special with them, I'd be glad if you could drop me an e-mail , though, as I like getting feedback. And of course you're allowed to donate , if you'd like. NEW: Download Everything (via BitTorrent Fractal T-shirts Everything X This page has links to everything that can be found on this web site except my flam3 playground . If you'd like to read a few background words about the pieces feel free to have a look at the individual annual galleries which feature a little more by way of explanation. paying the bills...

35. Pollock's Fractals | Math | DISCOVER Magazine That isn t just a lot of splattered paint on those canvases, it s good mathematics. Visit Discover Magazine to read this article and other exclusive science http://discovermagazine.com/2001/nov/featpollock

document.write(''); Log In Subscribe Give a Gift Archives ... Customer Service SEARCH Technology Space Human Origins Living World ... RSS Daily Dose April 3 : Superbirds can detect malnutrition with ultraviolet vision. Sorry, global warming skeptics—no more blaming cosmic rays April 2 : Aptly named telescope array spies planetary fetus This week in mini black holes: from crackpot to adorable Science News Biofuel Farming Looks to Be an Environmental Disaster Growing corn for ethanol may increase greenhouse gases for over a century. The Great Forgotten Clean-Energy Source: Geothermal The U.S. uses less than 1 percent of our available geothermal energy. Viennese Orchestra Uses Instruments Made of Produce Carrot recorders, pumpkin harps, leek violins, cucumberphones... Strange Molelike Animal Melts Ice Tunnels With Its Head The hotheaded naked ice borer may have feasted on a polar explorer. Has the Einstein Revolution Gone Too Far? Einstein ended science's devotion to experience; it may now be time to come back. Is That a Gun in Your Pocket or Are You a Size 2? Radar peers beneath clothes to find weapons—and the perfect pair of jeans. 3 Theories That Might Blow Up the Big Bang Time may not have a beginning—and it might not exist at all.

36. Chaos, Solitons Fractals - Elsevier Journal which includes applications in science and engineering. Tables of contents and abstracts; full text to subscribers. http://www.elsevier.com/locate/chaos

Home Site map Elsevier websites Alerts ... Products Journal information Product description Editorial board Audience Abstracting/indexing Subscription information Bibliographic and ordering information Conditions of sale Dispatch dates Journal-related information Contact the publisher Impact factor Most downloaded articles Other journals in same subject area ... Select your view Applications in science and engineering Editor-in-Chief: M.S. El Naschie See editorial board for all editors information Description ISSN: 0960-0779 Imprint: PERGAMON Commenced publication 1991 Subscriptions for the year 2008, Volumes 35-38, 20 issues Institutional online access: ScienceDirect eSelect For purchase of online access to this journal on ScienceDirect. Institutional price: Order form EUR 3,804 for European countries and Iran JPY 505,100 for Japan USD 4,254 for all countries except Europe, Japan and Iran , and links to our regional sales offices For an overview of recently-dispatched issues, see the Journal issue dispatch dates Audience Engineers, physicists and mathematicians involved in nonlinear sciences, chaos and fractal research.

37. Fractals And Fractal Art fractals Your guide to the best web sites for fractals and fractal art. http://thinks.com/webguide/fractal.htm

Sponsored Links Electronic Sudoku Multiplayer Games Bingo Brain Games ... Home Fractals and Fractal Art AllisonArt's Cyberhome Great images by Linda Allison. Amazing Seattle Fractals! Doug Harrington's site has an online, step by step fractal tutorial, complete with screenshots to help people create their own fractal art. It also features fractal art galleries,fractal animations,free fractal software and a free fractal screensaver (rated by ZD Net as an Editor's Pick 5 Star Download). Doug's fractal art has been featured at M.O.C.A.(Museum of Computer Art) and has won several other site awards. Art Matrix Fractals A company producing fractal posters, postcards, slides, videos, etc. Don Archer's Fractal Art and Music An impressive site with many pages of interesting fractal images. Earl's Computer Art Gallery Fascinating images created by Earl Hinrichs using his own software. Fractal eXtreme Useful pages giving an introduction to fractal theory, and a gallery of images produced by the software. Fractal Gallery by Ken Keller Many stunning images, categorized as: Lucid Forms (fractals that are recognizable as everyday objects), Traditional Forms (fractals that do not greatly deviate from Magnification 1, or contain commonly found features within typical fractal formulas), Abstract Forms (fractals that seek to convey atmospheres, emotions and ideas). All images displayed may be purchased as prints. Fractalism The images in these galleries are snapshots from one artist's vision of a place he calls Fractal Land.

38. Lifesmith Classic Fractals Home Company offering large image galleries and merchandise. http://www.lifesmith.com/

LINE HERE The oldest fractal mathematical art studio in the United States... I have produced many thousand original fractal designs... I estimate that seven terabytes of fractal data reside in the archives. You are invited to see and enjoy all of the images I have discovered. Please choose why you came. To See the Art To Learn Some Math To Do Some Business To get in touch... Email Address: fractalier@aol.com fractali@lifesmith.com Lifesmith Classic Fractals 36949 42nd Street East Palmdale, CA 93552 661-285-4313 (HQ) 661-285-4314 (fax) visitors since 1997 Jeff Berkeley, M.S. Thank you very much for coming! Please be my guest! Visit my rock band website Out of Order First deployed in mid-1997 Reworked summer 2005 and summer 2006 Last update 3/28/07

39. Fractal Grower (home) Fractal Grower is Java software for growing Lindenmayer substitution (Lsystems) fractals. In its default mode, the software displays an interface for http://www.cs.unm.edu/~joel/PaperFoldingFractal/

Fractal Grower Fractal Grower is Java software for growing Lindenmayer substitution (L-systems) fractals. In its default mode, the software displays an interface for simple L-Systems which can be modeled by paper folding. This interface is appropriate for teaching fractals to elementary and middle school students. The full L-System interface (selectable by menu) is more appropriate for high school and university students. An L-system is a formal grammar (a set of rules and symbols) most famously used to model the growth processes of plants. Changes to the library of preset parameters will quickly yield beautiful fractal images of such variety that it is unlikely that what you create has ever been seen before. By Joel Castellanos Department of Computer Science, University of New Mexico The paper folding system is based on a lecture given by Heinz-Otto Peitgen of the CeVis Research Center at the University of Bremen, Germany. Click here to run the Fractal Grower software in Java WebStart Some systems might take a few minutes to start the software.

40. Fractals Through Time -- Physics News Update 857 Feb 28, 2008 A new theoretical study looks at what fractal things look like not just when you magnify them in space (they are scale invariant they look http://www.aip.org/pnu/2008/split/857-1.html

SEARCH AIP Article Tools Enlarge text Shrink text Print E-mail Subscribe E-mail alert RSS feed Save and Share Digg this Del.icio.us Furl PNU Archives ... FYI: Science Policy News Bulletin Number 857 February 28, 2008 by Phil Schewe Fractals Through Time In a new paper, Carlos Escudero of the Institute for Mathematics and Fundamental Physics in Madrid performs calculations of the dynamic scaling (how a surface changes in space and over time at several different scales) of growing structures, such as the kind of semiconductor films used in the microchip industry where, even under the most carefully controlled of conditions, rough (non-Euclidean) geometries can exist. He found that the moment-by-moment behavior of the surfaces are strongly effected by the fractal geometry. Escudero (34- 915616800, cel@imaff.cfmac.csic.es ) will soon be testing his theories with colleagues in several practical areas of research, including the growth of tumor-like tissues in plants and the growth of semiconductor films. ( Physical Review Letters upcoming article)

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