41. Fractals fractals. by Dale Winter. In several of the lessons we have described objects as fractals, for example, the Julia set known as the ‘Rabbit.’ The important property that we http://www.math.lsa.umich.edu/mmss/coursesONLINE/chaos/chaos7/index.html

Fractals by Dale Winter In several of the lessons we have described objects as fractals, for example, the Julia set known as the �Rabbit.� The important property that we were trying to capture by the label �fractal� was the property of self-similarity . When you zoom in on a part of the Julia set, you may notice a strong resemblance between the part of the Julia set that you have zoomed in on, and the original view of the Julia set before zooming. For example, if you look at the colored picture of The Rabbit , there is a large, black region in the center of the picture that you might think of as the body of the rabbit. Attached to the body of the rabbit are some small black areas about half-way along each side of the body, some larger areas that you might think of as the legs and the ears , and some larger areas that you could think of as the head and the tail of the rabbit. If you look carefully at the head of the rabbit, there are two small lobes about halfway along its length, just like the body of the rabbit. If you pretend that the head of the rabbit is going to be the body of a smaller rabbit, then there are lobes that could be the head and tail of the smaller rabbit. Although these sets are clearly very intricate, complicated and detailed, they also have

42. ALicia's FractaLs Collection of images generated in Tiera-Zon, and related links. http://www.alicia-logic.com/fractals/

Click here to minimize or maximize the link bar. Your display preference will be remembered if your browser accepts cookies. Share Page 1 Page 2 Page 1 Page 2 Page 3 Page 4 Page 5 Page 1 Page 2 Page 3 Coming soon! Tiera-Zon bitmaps and source files Intro and Informational sites Image galleries Software sources

43. FractalNet Home Page By Relevance. Chaos fractals Fractal Art. By Popularity. Fractal Geometry Genuine fractals Software. Popular Categories Fractal Posters Genuine http://www.fractals.com/

Best experienced with Click here to start. ChiaraMail(tm) Version 2.0 now available ChiaraMail Version 2.0 is now available for download. Check out the coolest and most effective spam filter on the planet, at http://www.chiaramail.com WebReader 3.0 now available Version 3.0 of WebReader(tm) includes a number of significant new features and benefits; for an overview of functional enhancements in Version 3.0, check out new features and enhancements . Beginning December 7, 1999, you can download WebReader 3.0 at no cost. Before downloading WebReader, make sure you meet the minimal system requirements FractalNet Commercial Links Linda Sy Skin Care , offering high-quality skin care products developed by a practising dermatologist. Treat yourself or your spouse to the gift of beautiful, healthy skin with our line of products previously available only from dermatologists. Real Estate Services The Fractal Images Company 268 Arlington Road Kensington, CA 94707 Voice: 510-528-0258 Fax: 510-528-0243 e-mail: marketing@fractals.com

44. Fractals fractals is an interdisciplinary journal devoted exclusively to phenomena involving complex geometry, patterns, geometrical and/or temporal scaling. Through the application of http://www.worldscinet.com/fractals/fractals.shtml

Home Contact Us Join Our Mailing List New Journals ... Advanced Search Print ISSN: 0218-348X Online ISSN: 1793-6543 RSS Feed About FRACTALS Editorial Board Contact FRACTALS Sample Issue Abstracting/Indexing ... Online Gateways How To Order Order Online Price Information Request for Complimentary Print Copy Dispatch Dates For Authors Guidelines for Contributors Online Submission Call for Papers Author Rights RELATED JOURNALS International Journal of Bifurcation (IJBC) Advances in Complex Systems (ACS) RELATED BOOKS Analysis And Control Of Nonlinear Systems With Stationary Sets Handbook On Biological Networks RELATED LINKS Life Sciences Books Nonlinear Science Books Mathematics Journals HOME ... Fractals Fractals Complex Geometry, Patterns, and Scaling in Nature and Society Current Issue All Volumes (1993-2010) News The Impact Factor for FRACTALS in 2009 is Many thanks for the hard work put in by the Editorial Board and contributors of FRACTALS. An Appeal from the Honorary Editor to the Readers of Fractals Announcement: After four years of dedicated service to the Fractals journal, Dr. Janos Kertesz will retire from his role as Regional Managing Editor (Europe), but will continue to serve as a member of the Editorial Board. Dr. Kertesz will be succeeded by current editorial board member Dr. Miroslav M. Novak of the Faculty of CISM, Kingston University, England.

45. BBC News - How Mandelbrot's Fractals Changed The World Chaos, fractals, and Arcadia ADD. KEYWORDS The Chaos Game, The Sierpinski Hexagon, Iterated Function Systems Chaos in the Classroom, Boston University http://www.bbc.co.uk/news/magazine-11564766

blq.setEnvironment('live'); $loadView("0.0",["bbc.fmtj.view"]); $render("livestats-heatmap"); $loadView("0.0",["bbc.fmtj.view.news.story"]); British Broadcasting Corporation Home Accessibility links Skip to content Skip to local navigation Skip to bbc.co.uk navigation Skip to bbc.co.uk search ... Accessibility Help Magazine $render("advert","advert-sponsor-section"); $render("advert-post-script-load"); Home Latin America UK Africa ... Magazine $render("advert","advert-leaderboard"); $render("advert-post-script-load"); 18 October 2010 Last updated at 09:15 ET Share this page Delicious Digg Facebook reddit ... Print By Jack Challoner Science writer Fractals have become a common sight, thanks to computer imagery In 1975, a new word came into use, when a maverick mathematician made an important discovery. So what are fractals? And why are they important? During the 1980s, people became familiar with fractals through those weird, colourful patterns made by computers. But few realise how the idea of fractals has revolutionised our understanding of the world, and how many fractal-based systems we depend upon. Continue reading the main story Start Quote End Quote Benoit Mandelbrot Maths visionary Mandelbrot dies On 14 October 2010, the genius who coined the word - Polish-born mathematician Benoit Mandelbrot - died, aged 85, from cancer.

46. Flying Frog Fractals Gallery of fractal images created using Fractint and Winfract. http://members.tripod.com/afractal/

Build your own FREE website at Tripod.com Share: Facebook Twitter Digg reddit document.write(lycos_ad['leaderboard']); document.write(lycos_ad['leaderboard2']); Original album: Flying Frog Fractals This album has post processing. New albums at Smugmug These albums have fractint original fractals with no post processing. I still use Fractint. I don't think it can ever be exhausted.

47. Fractal World Gallery Thumbnails : Cosmic Recursive Fractal Flames Or Flame Frac Fractal World Gallery contains a collection of Pure flame fractals, Please go to next gallery room for more cosmic recursive flame fractals. http://www.enchgallery.com/fractals/fracthumbs.htm

Fractal World Gallery contains a collection of Pure flame fractals, fractal flame composites, fractals, etc: established 1998 Flame Fractals date from 1998 to the Present by Cory Enc h I mages from this gallery may only be used with artist 's permission Fractal software includes Frax Flame and Apophysis for cosmic recursive fractal flames. FAQ I CONTACT I PRINTS More art work by Cory Ench at www.enchgallery.com images in room 7 click on the thumbnails for full view fractal image images in room 7 images in room 6 images in room 5 images in room 4 images in room 3 images in room 2 120 images in room Other non fractal art by Cory Ench at home Thanks for viewing the Fractal World Gallery. Please go to next gallery room for more cosmic recursive flame fractals. Don't forget to sign our guestbook and give some feedback. Sign Guestbook

48. NOVA | Hunting The Hidden Dimension Mysteriously beautiful fractals are shaking up the world of mathematics and deepening our understanding of nature. http://www.pbs.org/wgbh/nova/physics/hunting-hidden-dimension.html

49. 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.

50. Andrew Que's Fractals Created using original software. Contains image galleries, zoom animations, and program downloads. http://drque.net/Fractals/

Andrew Que's Fractals Fractal art, links and software Home Images Video Software/ ... (DrQue.Net) Welcome to Andrew Que's site on Fractals This site is dedicated to one of the most beautiful mathematical art forms that exists Fractals . Primarly on this site are images create by Andrew Que using the Mandalbort fractal set. The images on these pages were created using my own fractal generating software. Also found here is software, source code and links relating to fractals. I do hope you enjoy! Proceed to the fractal art galleries Home Images Video ... Contact Designed and maintained by Andrew Que (C)

51. The Fractal Microscope - 400 Bad Request www.ncsa.uiuc.edu/Edu/Fractal/Fractal_Home.html SimilarCoolmath4kids - fractals ( Geometry )Coolmath fractals Hey, I ve moved this page! Here it is Coolmath fractals. Please update your links and bookmarks! http://www.ncsa.uiuc.edu/Edu/Fractal/Fractal_Home.html

52. Fractals - UEN Themepark is the place to find Internet resources organized around broadbased themes. http://www.uen.org/themepark/patterns/fractal.shtml

53. Fractals - Answers In Genesis Did you know that amazing, beautiful shapes have been built into numbers? Believe it or not, numbers like 1, 2, 3, etc., contain a “secret code”—a hidden beauty embedded http://www.answersingenesis.org/articles/am/v2/n1/fractals

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

55. Fractals For Mac OS X Oct 18, 2010 Program that generates fractal images. Several options for producing striking variations of fractal images, and includes advanced features http://www.fractaldomains.com/

Fractal Domains Exploring fractals with your Macintosh Home Info Gallery Download ... Tutorial R.I.P. Benoit Mandelbrot 1924-2010 Wikipedia Entry YouTube video Fractal Domains 2.0.11 (Universal) is here! Get version 2.0.11 at download page ! See the news page for details. DragonlordALS 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. Fractal Domains features include: Generation of Mandelbrot and Julia sets Generation of fractals based on iterating rational functions. The user may input expressions for any rational function (ratio of two polynomials).

56. 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!

57. 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

58. 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.

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

60. 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: Oven Fresh Poll Maker Shareware download MostFun Games Player 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: chaos chaosfractal fractals fractal ... fractals Some soft: DanceFractal Screensaver Smoothly varying animated fractals . Unusual forms, pleasant colors. Abstract ... Rate it: Keys: mosaicfractals fractals mosaic abstract ... 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.

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