41. Fractal Factory Collection of fractals available for viewing and purchase in a variety of formats. Based in the United Kingdom. http://www.fractalfactory.com/

42. Exploring Fractals Exploring fractals by Mary Ann Connors publications and photos Department of Mathematics and Statistics University of Massachusetts Amherst. This World Wide Web project http://www.math.umass.edu/~mconnors/fractal/fractal.html

Exploring Fractals by Mary Ann Connors publications and photos Department of Mathematics and Statistics University of Massachusetts Amherst This World Wide Web project commenced in July 1994. It is is based on a curriculum, entitled "Exploring Fractal Dimension," developed by Mary Ann Connors and Anna Rose Haralampus at an NSF funded Institute for High School Mathematics Teachers at Georgetown University July - August, 1991. Its revision entitled "Exploring Fractals: From Cantor Dust to The Fractal Skewed Web" has been edited by Mary Ann Connors 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, and 2009. Exploring Fractal Dimensions of Strictly Self-Similar Fractals: Cantor Dust to the Fractal Skewed Web What is a fractal? A fractal is a geometric shape which is self-similar and has fractional (fractal) dimension. An introduction So, what are fractals? What does it mean for a shape to be self-similar Strictly Self-similar shapes What is dimension? How do we assign dimension to an object intuitively? What is the dimension of a geometric object? Mathematical Interpretation Dimension of a Fractal Non-integer and integer dimensions Investigations Questions and Answers Generating Fractals Strictly Self-similar Fractals Teacher Information Instructions Sources Sources for Exploring Fractals Some Interesting Links for Further Exploration If you wish to use any of the text or images in Exploring Fractals please contact its author Mary Ann Connors at the following address.

43. Big Al's Fractals Collection of fractal images created with various programs. http://alsfractals.bravehost.com/

Vote For My Page Email login: Password: New users Signup! Fractal Images Image Page 1 Image Page 2 Image Page 3 Image Page 4 Image Page 5 Image Page 6 Image Page 7 Image Page 8 Image Page 9 Image Page 10 Image Page 11 Image Page 12 Image Page 13 Image Page 14 Image Page 15 Image Page 16 Seamless Wallpaper Links Page The main reason for this page is to show some nice fractal pictures. Now with 192 beautiful images. You can freely download any of the pictures for home or non profit use, such as desktop wallpaper, printing one off cards and calendars, your web pages, etc. For commercial use, mass publications, small leaflet runs, commercial web pages, larger resolutions please contact me at the email below and we can work out equitable rates. The programs used to generate the fractals can be found on the links page. Privacy Statement Retrieving an E-Card? Enter Card Pick-up ID below: FastCounter by LinkExchange Alastair Montgomery This site is a member of WebRing. To browse visit Here Report Content Web Hosting Blog ... Easiest Website Builder ever!

44. Fractals - The Dalton Math Wiki What is a Fractal? fractals are relatively complex objects, but they are finding more and more uses and applications as computers and calculators make working with them more http://wikis.dalton.org/math/index.php?title=Fractals

45. Cynthia Lanius' Fractals Unit: The Sierpinski Triangle Introduction. Why study fractals? What's so hot about fractals, anyway? Making fractals Sierpinski Triangle Using Java Math questions http://math.rice.edu/~lanius/fractals/

Cynthia Lanius Making a Fractal: The Sierpinski Triangle Table of Contents Introduction Why study fractals? What's so hot about fractals, anyway? Making fractals Sierpinski Triangle Using Java Math questions Sierpinski Meets Pascal Jurassic Park Fractal ... Using Java Fractal Properties Self-similarity Fractional dimension Formation by iteration For Teachers Teachers' Notes Teacher-to-Teacher Comments My fractals mail Send fractals mail Fractals on the Web The Math Forum Other Math Lessons by Cynthia Lanius Awards This Site has received Let's make a famous fractal called the Sierpinski Triangle. *You may print and use this triangular gridpaper. Step One Draw an equilateral triangle with sides of 2 triangle lengths each. Connect the midpoints of each side. How many equilateral triangles do you now have? Cut out the triangle in the center. Step Two Draw another equilateral triangle with sides of 4 triangle lengths each. Connect the midpoints of the sides and cut out the triangle in the center as before. Notice the three small triangles that also need to be cut out in each of the three triangles on each corner - three more holes.

46. Fractal Art Blog Created in Ultra-Fractal by Alexander Silyanov. http://vakusai.blogspot.com

47. Fractals. Downloadsoftware4free.com. Download Free Software. Search Shareware An fractals. downloadsoftware4free.com. Download Free Software. Search shareware and freeware downloads. http://fractals.downloadsoftware4free.com/

//window.attachEvent('onunload',ext); Download Software 4 Free! Search shareware and freeware downloads. Categories: Business Communications Desktop Development ... Web Development Submit your Software: Submit pad file Member area: Registration form Forgot Your Password? login: pass: Remember me: Top rated: Be Punctual Freeware download TimeLeft Freeware download ... Freeware download Top Downloads: Internet Download Manager Shareware download Motorola Mobile PhoneTools Deluxe Commercial download ... Double Fractal Double Fractal is a program that creates fast and easily ... Rate it: Keys: fractals fractals chaosfractal chaos ... fractal Some soft: DanceFractal Screensaver Smoothly varying animated fractals . Unusual forms, pleasant colors. Abstract ... Rate it: Keys: abstract images mosaic flower ... Fractal Morphing Screen Saver It is a screen saver for Windows. Fractals fascinate us with their beauty and attractiveness. And as to morphing it emphasizes it to a great extent. According to many people's opinion fractals produce a soothing andand relaxing effect on them. Rate it: 1 votes.

48. 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

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

Adam Hauner Adam Hauner

50. Fractals fractalsa geometry of nature. Fractal geometry plays two roles. It is the geometry of deterministic chaos and it can also describe the geometry of mountains, clouds and galaxies http://www.fortunecity.com/emachines/e11/86/mandel.html

Web hosting Custom Email SiteBuilder Fractals-a geometry of nature Fractal geometry plays two roles. It is the geometry of deterministic chaos and it can also describe the geometry of mountains, clouds and galaxies Benoit Mandelbrot Science and geometry have always progressed hand in hand. In the 17th century, Johannes Kepler found that he could represent the orbits of the planets around the Sun by ellipses. This stimulated Isaac Newton to explain these elliptical orbits as following from the law of gravity. Similarly, the back-and-forth motion of a perfect pendulum is represented by a sine wave. Simple dynamics used to be associated with simple geometrical shapes. This kind of mathematical picture implies a smooth relationship between an object's form and the forces acting on it. In the examples of the planets and the pendulum, it also implies that the physics is deterministic, meaning that you can predict the future of these systems from their past. Two recent developments have deeply affected the relationship between geometry and physics, however. The first comes from the recognition that nature is full of something called deterministic chaos. There are many apparently simple physical systems in the Universe that obey deterministic laws but nevertheless behave unpredictably . A pendulum acting under two forces, for example.

51. 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

52. 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

53. 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.

54. MathsNet Fractals Mathematics possesses not only truth, but supreme beauty a beauty cold and austere, like that of sculpture. Betrand Russell http://www.mathsnet.net/fractals.html

home geometry curriculum puzzles ... MathsNet.com "Mathematics possesses not only truth, but supreme beauty - a beauty cold and austere, like that of sculpture." Betrand Russell Fractals What are fractals? The properties of fractals What else are fractals? Logo fractals ... 4D Magic Cube A brief summary of the mathematics of fractals. What are fractals? In order to understand fractals you need to understand a little bit of mathematics concerning complex numbers and the process of iteration. First you need to know about the special number known as i . You can do arithmetic with i . A complex numbe r is a number made up of two parts added together. These parts are called the "real" part and the "imaginary" part . Examples of complex numbers are: 4 - 6i, 2.1 + 4.7i, 1-i, and so on... In fact any number of the form a + bi, where a and b are real numbers, and i is as above, is a complex number. Addition and multiplication of these numbers is achieved using the conventional rules of algebra. Complex numbers have a size. It is usually called their

55. 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/

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

57. 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

58. 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...

59. 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

60. 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/

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