61. Fractal | Define Fractal At Dictionary.com Our Living Language fractals are often associated with recursive operations on shapes or sets of numbers, in which the result of the operation is used as the input to the same http://dictionary.reference.com/browse/fractal

62. Index Of Fractal Images (Fractal Gallery) Gallery of fractal images created mainly by Fractint. http://fractals.hauner.cz/index

Adam Hauner Adam Hauner

63. Fractals On the prints the Genuine fractals image is slightly smoother and appears slightly shaper. But, not a lot. There isn t a whole lot of difference. http://www.luminous-landscape.com/reviews/fractals.shtml

Home What's New Store Discussion Forum ... Contact Search the site: advanced search Content on this site: Michael Reichmann Username: Password: Contributor Login Genuine Fractals This photograph was taken with a Canon S10 , a 2.1 Megapixel point-and-shoot. At 300 dpi (the resolution needed for photo-realistic output with an ink-jet printer) this amount of resolution is good for just a 3.5 X 4" print. But, what about making an 8X10" print? Without " ressing-up " the image you'll be at 120dpi, nowhere near good enough. At a demo of the then brand-new Nikon D1 in Toronto, in the fall of '99, I was shown quite impressive 11X17" prints that I was told had been run though a PhotoShop plug-in called Genuine Fractals 2.0 . It was claimed that this utility did a much better job of ressing-up an image than does the bicubic interpolation , the technique used within PhotoShop. I also read some reviews which had high praise. Since I'm a natural-born skeptic I decided to try this out for myself. The program sells for U.S. $159 and is available for download over the Net. Not inexpensive for such a utility, but worthwhile if it could do the job. PhotoShop Bicubic Interpolation The frame above was scaled to an 8.8 X 10" size at 300 dpi using PhotoShop's built-in bicubic interpolation. To save space it is shown cropped to the center section only, and of course is reproduced here at 96 dpi for web presentation.

64. Titia Galleries of images made with Fractal Explorer. http://www.wack.ch/titia/

Welcome fractalArtlover :-) It is my passion to play with fractals. I don't understand all the stuff behind fractals and formulae, but I love to create images with them. Fortunately real knowledge is not needed to have fun with fractals. The scientific part I leave to many other excellent sites, so, here you won't find any explanation...just my plays. Have as much fun looking at them as I had creating them ! Titia Fractal Projects permission. My favorite fractal program is Fractal Explorer a wonderful freeware program, made by the nice Olga and Arthur Sirotinsky. I thank them for all the fun I had creating fractals. Also a big "thank you" to helpful Mark MCIntyre, creator of the Web Album Generator also freeware of a very high quality. Galleries Previous 15 Previous Site Next Site Next 15 ... website counters

65. Fractals This relatively new word in mathematics was first coined by Benoit B. Mandelbrot and introduced to mathematicians and computer scientists in The Fractal http://curvebank.calstatela.edu/fractal/fractal.htm

Back to . . . Curve Bank Home Classic Curves Index The Mandelbrot Set weds the graphing of complex numbers to the recursive power of modern computers. MandelZoom takes approximately 15 seconds to load. Be patient. MandelZoom (C) Louis P. Santillan 2001-2002 Instructions: Click to zoom IN. O to zoom OUT. R to reset to the original screen. C to CHANGE COLORS. For source code, email Louis here. More fractals . . . The points of a Mandelbrot Set are bounded as follows: x: -2 x y i i x i Size: radius or distance from (0,0) The full Mandelbrot Set is plotted within the inscribed circle of radius . Other views showing the fractal edge are displayed by zooming in on only a portion of the bounded area. Sample calculation: Mathematicians in the early 20th century investigated curves that had highly intricate and detailed shapes. Moreover, they realized that while a region might be bounded and thus the area finite, the perimeter or border might seem to be infinite. These curves - the Koch Snowflake for example - with finite area and infinite perimeter, were given the name of "pathological." This particular area of research in mathematics has generated colorful names: Cantor's dust, Polya's sweeps, Peano's dragons, Sierpinski's carpet and others. When the edge of a curve under many iterations is broken, repeated, scaled down, and then scaled down again as the iterations progress, the curve has now become known as a fractal. This relatively new word in mathematics was first coined by Benoit B. Mandelbrot and introduced to mathematicians and computer scientists in

66. The Math Forum - Math Library - Fractals The Math Forum's Internet Math Library is a comprehensive catalog of Web sites and Web pages relating to the study of mathematics. This page contains sites relating to fractals. http://mathforum.org/library/topics/fractals/

Browse and Search the Library Home Math Topics Dynamical Systems : Fractals Library Home Search Full Table of Contents Suggest a Link ... Library Help Selected Sites (see also All Sites in this category Fractals - Cynthia Lanius This lesson plan for exploring fractals is designed so 4th through 8th grade students can work independently and be assessed innovatively. It conforms to the 1989 NCTM standards, and provides links to other fractal sites. Contents: Why study fractals? Making fractals: Sierpinski Triangle, Sierpinski Meets Pascal, Jurassic Park Fractal, Koch Snowflake. Fractal Properties: Self-similarity, Fractional dimension, Formation by iteration. Teacher-to-Teacher notes; Fractals on the Web. more>> Fractals (Mathematics Archives) - University of Tennessee, Knoxville (UTK) An extensive list of links to sites with information about fractals, classified by level and type of resource. more>> Fractals (The Geometry Junkyard) - David Eppstein, Theory Group, ICS, UC Irvine An extensive annotated list of links to material on fractals. more>> Fractint - Noel Giffin; Univ. of British Columbia, Vancouver, B.C., Canada

67. 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 ... Contact Latest Galleries : Tribute to Benoît Mandelbrot ..through 51 images. Kaleidoscopic IFS 32 amazing fractal 3D objects. Mandelbox A special kind of 3D fractal. Hyperbolic rings and strips Transformations of tilings in the Poincaré disc. The Mandelbulb fractal 36 images of this fascinating object. View all galleries Stay informed on updates to this site using RSS A tribute to Benoît Mandelbrot. Posted on 2010-10-24 16:52 Benoît Mandelbrot passed away on October 14, 2010. He will be remembered in the first place for his contributions to science, but he also gave us the magnificent beauty of the Mandelbrot set. As a tribute, I have compiled a collection of images of the set in a 3D form. See this gallery. Kaleidoscopic 3D IFS fractals Posted on 2010-09-07 23:52 As a follow-up to the article , ("A fractal soccer ball"), about "kaleidoscopic 3D Iterated Function System fractals", I have now opened a new gallery with 32 images. A fractal soccer ball Posted on 2010-06-21 12:45 A new article , "A fractal soccer ball", about "kaleidoscopic 3D IFS fractals", was published on the site of the CNRS.

68. FractalFoundation.org The Fractal Foundation uses the beauty of fractals to inspire interest in Science, Math and Art. http://www.fractalfoundation.org/

Home Fractal Shows First Friday Fractals Fulldome Video ... Bookshelf First Friday Fractals School Presentations Invite the Fractal Foundation to visit your school! Students of all ages will delight at the infinitely complex patterns and the connections between science, math and art. Fractal Challenge Building Wrap! A winning fractal wraps a building in downtown Albuquerque. Fractal Challenge winner 5th grader Rachel Washington made this image using the free XaoS program. Fractals on the Earth Nature is full of fractals, including mountains, canyons, rivers, lightning, coastlines and lakes. Click to learn more... Fractal Trianglethon a Giant Success! Congratulations to everyone who helped! We built the world's largest fractal triangle, on March 14th 2010, created by 4036 children from all over the world. Fractals in School Fractals in England English Children at the Gateway School enjoying a fractal zoom. The Fractal Foundation... Teaching Fractals on the Navajo Reservation The Fractal Foundation recently visited Mariano Lake Community School - a remote... Fractals Come to Escuela del Sol and Harwood Art Center The Fractal Foundation is pleased to announce the newest public art installation...

69. Fractals.tv — Select a video above. You can watch in this window or click to make the video full screen. From full screen press the ESCAPE key to return to this browser. http://fractals.tv/

70. Fractal Adventures Helps the beginner to create fractals. Program overview, gallery and related resources. http://www.fractaladventures.com/

71. FUSION Anomaly. Fractals fractal. fractal (fr k tel) noun A geometric pattern that is repeated at ever smaller scales to produce irregular shapes and surfaces that cannot be represented by classical http://fusionanomaly.net/fractals.html

Telex External Link Internal Link Inventory Cache p2p Hash Fractals This nOde last updated December 17th, 2004 and is permanently morphing... (3 Ix (Jaguar) / 17 Mac - 94/260 - 12.19.11.15.14) fractal 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. Fractal Fractal, any of many geometric shapes that are complex and detailed at any scale. Fractals are often self-similar- that is, each portion is a reduced-scale replica of the whole. Many such self-repeating figures can be constructed. French mathematician Benoit B. Mandelbrot discovered fractal geometry in the 1970s. Mandelbrot adopted an abstract definition of dimension , with the result that a fractal cannot be treated mathematically as existing in one, two, or any other whole-number dimensions. It must be treated as having some fractional dimension. A coastline, if measured at progressively smaller scales, would tend toward

72. Ron Eglash On African Fractals | Video On TED.com TED Talks I am a mathematician, and I would like to stand on your roof. That is how Ron Eglash greeted many African families he met while researching the http://www.ted.com/talks/ron_eglash_on_african_fractals.html

73. FractalFoundation.org The Fractal Foundation uses the beauty of fractals to inspire interest in Science, Math and Art. http://fractalfoundation.org/

Home Fractal Shows First Friday Fractals Fulldome Video ... Bookshelf First Friday Fractals School Presentations Invite the Fractal Foundation to visit your school! Students of all ages will delight at the infinitely complex patterns and the connections between science, math and art. Fractal Challenge Building Wrap! A winning fractal wraps a building in downtown Albuquerque. Fractal Challenge winner 5th grader Rachel Washington made this image using the free XaoS program. Fractals on the Earth Nature is full of fractals, including mountains, canyons, rivers, lightning, coastlines and lakes. Click to learn more... Fractal Trianglethon a Giant Success! Congratulations to everyone who helped! We built the world's largest fractal triangle, on March 14th 2010, created by 4036 children from all over the world. Fractals in School Fractals in England English Children at the Gateway School enjoying a fractal zoom. The Fractal Foundation... Teaching Fractals on the Navajo Reservation The Fractal Foundation recently visited Mariano Lake Community School - a remote... Fractals Come to Escuela del Sol and Harwood Art Center The Fractal Foundation is pleased to announce the newest public art installation...

74. Les St Clair's Fractal Panorama - Fractal Home Page Les St Clair s fractal images, Paint Shop Pro tubes and fractal Java applets. http://www.les-stclair.co.uk/fractals/fracindex.htm

Fractint Galleries Ultra Fractal Galleries Tiera-Zon True-Color Fractal Gallery Flarium 24 True-Color Fractal Gallery Fractal eXtreme Zoom Movies Chebyshev Formulas for Fractint Fractal Picture Tubes for Paint Shop Pro If you have a Java friendly browser try - Fractal Java Applets Fractint Mail List - Parameter Files May.03.2003. Fractint Pars Galore! (inc. Jim Muth's FOTD) Jul.13.2006. Thank you to the 9000+ visitors who stopped by my CompuServe Site (1998-2000) This page last updated on: Jul.13.2006 You can contact me at: les.stclair[no-spam]btinternet.com ...Just replace the square brackets with @ Return to Les St Clair's WWW Home Page Free counter

75. Fractals @ Chaotic N-space Network A large collection of fractal images, an introduction to fractals and reviews of fractal software. http://www.cnspace.net/html/fractals.html

chaotic n -space network fractals cge software philosophy ... home Fractals Home Introduction Fractal Gallery Software Links ... Intro - First draft completed (almost), very, very rough right now ;) Fractal Art - At the request of my friends, I have posted a few of my post-processed fractals. Please check them out and tell me what you think - Jon Fractal Gallery - A large collection of fractals created with many different fractal programs by jon camp Ultra Fractal Pages Brand New!!! - Visit the Ultra Fractal pages for more information on the program as well as see my new images. Fractal Software - Some of the various programs we have used to create fractals Name: Fractal 046 Type: Custom Formula Created on: Fractint Depth: Large Image PAR File Links - Links to other fractal galleries, program homepages and sites of various interest maintained by jcamp@cnspace.net chaotic n -space network webmaster: jcamp@cnspace.net

76. Welcome To The Fractal EXtreme Web Site Home Page for Fractal eXtreme, a 32bit and 64-bit Windows shareware program for fast exploration of the Mandelbrot set and other fractals. http://www.cygnus-software.com/

Fractal eXtreme News: March 2010 a modest update of Fractal eXtreme was released. January 2010 a modest update of Fractal eXtreme was released. Version 2.03 add a 64-bit version of the zoom movie player and various bug fixes. November 2009 a modest update of Fractal eXtreme was released. Version 2.02 add Windows 7 tweaks and a greatly improved plug-in developers kit, along with some bug fixes and small changes. December 2008 a modest update of Fractal eXtreme was released. Version 2.01 added some bug fixes and security improvements, as well as automatic detection of new versions. April 2008 a significant update of Fractal eXtreme 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.

77. Fractals On DeviantART Art community of artists and those devoted to art. Digital art, skin art, themes, wallpaper art, traditional art, photography, poetry / prose. Art prints. http://fractals.deviantart.com/

78. Lifesmith Classic Fractals Home Art Company, Graphic Design, Fractal, Mathematics Tutoring, Graphic Arts, Poster Company, Licensing Artist. http://www.lifesmith.com/

HERE HERE L I N E HERE WE HAVE MOVED TO WASHINGTON!! The oldest fractal mathematical art studio in the United States... I have produced many thousand original fractal designs... I estimate that eight terabytes of fractal data reside in the archives. You are invited to see and enjoy all of the images I have uncovered. 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 21834 NE 147th Street Brush Prairie, WA 98606 (phone and fax) visitors since 1997 Jeff Berkeley, M.S. Personal Site Thank you very much for coming! Teacher Website Please be my guest! First deployed in mid-1997 Reworked summer 2005, 2006, 2008, 2009, 2010 Last update 10/2/10

79. Fractals - Wikibooks, Collection Of Open-content Textbooks Oct 25, 2010 Here you can find algorithms and examples of source code for drawing fractals. Multiplatform, open source and free tools are suggested. http://en.wikibooks.org/wiki/Fractals

Fractals From Wikibooks, the open-content textbooks collection Jump to: navigation search A reader requests that this book be expanded to include more material. You can help by adding new material learn how ) or ask for assistance in the reading room A reader requests that the formatting and layout of this book be improved. Good formatting makes a book easier to read and more interesting for readers. See Editing Wikitext for ideas, and WB:FB for examples of good books. Please continue to edit this book and improve formatting , even after this message has been removed. See the discussion page for current progress. edit Contents Here you can find algorithms and examples of source code for drawing fractals. Multiplatform, open source and free tools are suggested. Try to disjoin computing parameters from creating images ( it can slow the program but makes it easier to understand the algorithm ). If it is possible make one-file programs. Introduction Introductory Examples Real-world fractals Lyapunov fractal Iterations of complex quadratic polynomials Theory Definitions Dynamical plane : Julia and Fatou set Basin of attraction of superattracting fixed point (infinity) - Boettcher coordinate Basin of attraction of attracting fixed point - Koenigs coordinate Local dynamics near indifferent fixed point/cycle Local dynamics near rationally indifferent fixed point/cycle ( parabolic ). Leau-Fatou flower theorem

80. Cool Math 4 Kids - Fractals - Fractal Art, Lessons And Generators Coolmath's Fractal Gallery Very cool art that's made from math! http://www.coolmath4kids.com/fractals/index.html

Your browser does not support the IFRAME tag. Coolmath's Fractal Gallery Very cool art that's made from math! Sorry, your browser doesn't support Java. Your browser does not support the IFRAME tag. Your browser does not support the IFRAME tag. Your browser does not support the IFRAME tag. Back in the 1960's, a French mathematician named Benoit Mandelbrot started thinking about simple pretty simple: How long is the coast of Britain? Sure, it seems easy enough... But, think about how you'd really measure it... Would you fly over the coast in an airplane and measure how far you flew? Or would you take a ruler (or meter stick) and get down on your hands and knees and crawl around the edge? It would be different! In 1975, he made up the word "fractal" because he thought these figures would look fractured or broken up. It wasn't until he had a computer that he could SEE a picture of what he'd been thinking about! To view the fractal in all its glory, just click on it!

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