41. Life.anu.edu.au/complex_systems/tutorial3.html Similar pages Java fractalsThis page contains java applets to generate a number of differentfractals, written by James Henstridge. These Java fractals. This http://life.anu.edu.au/complex_systems/tutorial3.html

42. Fractal Art Screen Savers Original fractal art screen savers and custom made. Windows 95/98/ME/NT/2000 http://fractalarts.com/SFDA/screensavers.html

Seattle Fractals Digital Art Experience the "Art Of Infinity" Site Menu Home What Are Fractals? Screensavers Art Prints Purchase Screensavers Special Offers Support Testimonials Contact Links Free Screen Saver Downloads Thank you for your interest in Seattle Fractals Digital Art screensavers. If you have already evaluated one of the screensavers and are ready to purchase one, please select "Purchase Screensavers" from the link menu or click this link: Buy Now These screensavers are available as a free download and are fully functional for a 10 day trial evaluation. You get to try before you buy with no obligation! These screensavers are for use on Windows 95/98/ME/NT/2000/XP computers. They have over 20 transition effects, Microsoft Plus! features, Screensaver Control tray utility, Desktop Quickstart, full install/uninstall feature and more. Ver. 2.0 releases I have released updated versions of my first five screensavers. These have additional content, and many new features. If you have previously purchased these screensavers the upgrade is free! Simply uninstall the previous version, download and install the updated version and re-enter your registration information. Your video display for your monitor should be set to "true color" for these images to be displayed properly. Please take a moment to read the Readme file during installation for tips on using the screensaver. Thank you!

43. An Introduction To Fractals Gives definition and explains the different types of formulas used. Includes illustrations and bibliogra Category Science Math Chaos and fractals......An Introduction to fractals. Written by Paul Bourke May 1991 DLA DiffusionLimited Aggregation. The most useful fractals involve chance http://www.swin.edu.au/astronomy/pbourke/fractals/fracintro/

An Introduction to Fractals Written by Paul Bourke May 1991 Macintosh application: Fractal Implements lots of different fractal/chaotic image generators. "Philosophy is written in this grand book - I mean universe - which stands continuously open to our gaze, but which cannot be understood unless one first learns to comprehend the language in which it is written. It is written in the language of mathematics, and its characters are triangles, circles and other geometric figures, without which it is humanly impossible to understand a single word of it; without these, one is wandering about in a dark labyrinth." - Galileo (1623) What is a fractal? B. Mandelbrot A rough or fragmented geometric shape that can be subdivided in parts, each of which is (at least approximately) a reduced/size copy of the whole. Mathematical A set of points whose fractal dimension exceeds its topological dimension. Chaotic Systems The classic Mandelbrot below has been the image that has greatly popularised chaotic and fractal systems. The Mandelbrot set is created by a general technique where a function of the form z n+1 = f(z n ) is used to create a series of a complex variable. In the case of the Mandelbrot the function is f(z

44. Efg's Fractals And Chaos Page Several Fractal and Chaos projects, including Evolution of Mandelbrot Set, Fractal Discovery Lab, IFS images, Lorenz and other Strange Attractors. http://www.efg2.com/Lab/FractalsAndChaos

Contents Fractals Chaos Glynn Function Gallery Also see the Fractals and Chaos Section of the Math Reference Library in look for Mathematics Fractals / Chaos Note: If you have a fast machine (233 MHz Pentium II or faster), you'll likely need a patch to run TP 7 programs on this page. See this fix for "Runtime Error 200." Fractals Program Description Files Keywords Tutorial about Mandelbrot and Julia sets. Mandelbrot Set, Julia Set Evolution of the MandelbrotSet Mandelbrot Set Fractal Discovery Lab Art Gallery, Microscope, Movies, Tools, Library Fractals Show 2 Fractals, Chaos, Mandelbrot Set, Julia Set, Biomorph, Rainbow, WavelengthToRGB, pf32bit, Delphi Sierpinski Triangle Gasket Sierpinski triangle, Sierpinski gasket, fractals, self-similarity, Hausdorff dimension, digital pantograph, world-to-pixel mapping, recursion von Koch Snowflake von Koch curve, von Koch snowflake, fractals, self-similarity, Hausdorff dimension, digital pantograph, world-to-pixel mapping, recursion Chaos Program Description Files Keywords Iterated Function System to create four ferns (Also see, Mathematical Recreations

45. Doorschakeling Rekenen en schatten, verbanden, grafieken, functies, vergelijkingen, analyse, grafen en matrices, statistiek en kansberekening, meetkunde en wiskundige kunst. Informatie over rekenmachines, je kunt 'fractals' bekijken en je kunt spelletjes doen. http://www.digischool.nl/wi/

46. Fractals -- An Introduction The purpose of this site is to present material to learn very simple methods toconstruct fractals, to do and practice some math, to appreciate the beauty of http://ejad.best.vwh.net/java/fractals/intro.shtml

Fractals An Introduction The purpose of this lesson is to learn very simple methods to construct fractals, to do and practice some math, to appreciate the beauty of fractals, and finally to have fun with math. The lesson includes several Java applets for hands-on construction and interaction with simple fractals. Lets start with definitions. In very simple terms, fractals are geometrical figures that are generated by starting with a very simple pattern that grows through the application of rules. In many cases, the rules to make the figure grow from one stage to the next involve taking the original figure and modifying it or adding to it. This process can be repeated recursively (the same way over and over again) an infinite number of times. The fractals' growth mechanism can be visualized very easily with a simple example. Start with a + sign and grow it by adding a half size + in each of the four line ends. Repeat the exact same process recursively as many times as desired. We'll call this the Plusses fractal: Notice how the + sign grows into a rhombus (popularly known as diamond) in very few simple steps. Further in the lesson we'll count the number of +'s in each of the stages to see how quickly its complexity grows.

47. The Computational Beauty Of Nature Companion site for the book by Gary William Flake. Contains applets and source code for simulations of fractals, chaos, complex systems, and adaptation. http://mitpress.mit.edu/books/FLAOH/cbnhtml/

Computer Explorations of Fractals, Chaos, Complex Systems, and Adaptation Click here to continue Last update: 30 Nov 2002.

48. Fractals This CLN menu page provides links to mathematics curricular resources and instructionalmaterials (lesson plans) in the specific topic of fractals. http://www.cln.org/themes/fractals.html

Fractals Theme Page This "Theme Page" has links to information about Fractals. Students and teachers will find curricular resources (information, content...) to help them learn about this topic. In addition, there are also links to instructional materials (lesson plans) which will help teachers provide instruction in this theme. Please read our An Internet Fractal Lesson To study fractals using World Wide Web and generating your own f ractal. (Grades 7-12) Chaos Club Educational resources, online games and message chat areas for students and teachers exploring fractals. Be sure to check out the "tutorial" for a unit by Cynthia Lanius in which elementary and middle students utilize online resources to study properties of fractals either independently or with a teacher. Lessons can be downloaded and printed. Explorer The Explorer is a collection of information on educational resources (instructional software, lab activities, lesson plans, student created materials ...) that K-12 mathematics and science educators can download. Enter "Fractals" in the search engine and you'll see about a dozen resources. Exploring Fractals This site for secondary students explores several aspects of fractals. After an introduction to fractals, the author explores assigning dimensions, both non-integer and integer, and several ways of generating fractals.

49. Yenming J Chen, ³¯«Û»Ê,§U²z±Ð±Â,¸ê°TºÞ²z¨t Data Mining, fractals, Financial, MetaModeling Theory. http://ms1.ydu.edu.tw/~yenming_chen

³¯«Û»Ê,§U²z±Ð±Â,¸ê°TºÞ²z¨t Yenming Chen, Ph.D. Assistant Professor of Information Management Contact information Brief biography Researches : data mining, control, etc. Industrial Experiences : companies, etc. Teaching Interests Teaching Materials Graduate students Selected papers Selected software products A personal page Links of interest yenming_chen@ms1.ydu.edu.tw

50. FractalNet Home Page Real Estate Services. The Fractal Images Company 62 Lenox Road Kensington, CA94707. Voice 510528-0258 Fax 510-528-0243 e-mail marketing@fractals.com. http://www.fractals.com/

Best experienced with Click here to start. ChiaraMail(tm) Version 1.1 now available ChiaraMail Version 1.1 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 62 Lenox Road Kensington, CA 94707 Voice: 510-528-0258 Fax: 510-528-0243 e-mail: marketing@fractals.com

51. FractalNet WWW Real Estate Server FractalNet Home Page The Fractal Images Company 62 Lenox Road Kensington, CA94707. Voice 510528-0258 Fax 510-528-0243 e-mail marketing@fractals.com. http://www.fractals.com/realestate.html

Best experienced with Click here to start. Navigate FractalNet Ad prices Microsoft HomeAdvisor Microsoft's Planning Calculators Home ... Additional Resources Welcome to the FractalNet Real Estate Server, the most complete ordered listing of residential real estate on the Internet ChiaraMail(tm) Version 1.1 now available ChiaraMail Version 1.1 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 offers low-cost real estate advertisments to everyone. Whether you are a home owner in the process of selling your home yourself, or a licensed real estate agent or broker who is looking to expand your marketing efforts outside your local area, FractalNet can help you to reduce your advertising costs while greatly increasing your ad audience . Please refer to our ad prices for information on costs and how to place an ad Home buyers and sellers alike throughout the United States will want to know what the current mortgage interest rates are. Check out

52. What Are Fractals? Explanation of fractals, along with fractal art and uses.Category Science Math Chaos and fractals......An explanation of fractals and some cool picts. What are fractals? Dimensions DimensionsUses Uses Pictures Pictures Resources Resources, What are fractals? http://www.jracademy.com/~jtucek/math/fractals.html

What are fractals? Dimensions Uses Pictures Resources What are fractals? Fractals have come up as an important question two times before the invention of computers. The first time was when British map makers discovered the problem with measuring the length of Britain's coast. On a zoomed out map, the coastline was measured to be 5,000 something or other. Sorry, I've forgotten the units. But anyway, by measuring the coast on more zoomed in maps, it got to be longer, like 8,000. And by looking at really detailed maps, the coastline was over double the original. You see, the coastline of Britain that's on a map of the word doesn't have all the bay's and harbors. A map of just Britain has more of these, but not all the little coves and sounds. The closer they looked, the more detailed and longer the coastline got. Little did they know that this is a property of fractals. (A finite area, aka Britain, being bounded by an infinite line) The second instance of pre-computer fractals was noted by the French mathematician Gaston Julia. He wondered what a complex polynomial function would look like, such as the ones named after him (in the form of z^2 + c, where c is a complex constant with real and imaginary numbers). The idea behind the formula is that you take the x and y coordinates of a point, and plug them into z in the form of x + y*i, where i is the square root of negative one, square this number, and then add c, a constant. Then plug the resulting pair of real and imaginary numbers back into z, run the equation again, and keep doing that until the result is greater than some number. The number of times you have to run the equations to get out of its "orbit" can be assigned a color and then the pixel (x,y) gets turned that color, unless those coordinates can't get out of their orbit, in which case they're made black.

53. Art, Poetry, Photography, Politics, Fiction, April 2003, Wired Art From Wired He Eclectic ezine digital art, fractals, conceptual photography, intuitive paintings; unsettling, provocative, bizarre, and compassionate. http://wiredheart.hispeed.com/

Volume 7, Issue 2 ~ 2003 ISSN 1537-0453

54. Chaos And Fractals Frame version of this page. fractals. Fractal Icon Archive. FractalImage Gallery. Fractint parameter files. HTML Fractal FAQ Newsgroups http://www.dd.chalmers.se/~gu94joli/caf.html

Frame version of this page Fractals Fractal Icon Archive Fractal Image Gallery Fractint parameter files HTML Fractal FAQ Newsgroups Sci.Fractals Alt.Fractals The Spanky Fractal Database The Chaos MetaLink ... Contours of the mind - Exhibition page Mathart.com Fractal MUD Home Page CNAM: Fractal pictures and animations Fractal images in SUNET 's FTP archive Chaos, nonlinearity and complexity Newsgroups Sci.chaos Sci.nonlinear ANU: Complex systems A dynamical systems database INLS - The Institute for Nonlinear Science University of Maryland Chaos page Nonlinearity and complexity home page Chaos, Complexity, and Everything Else Go back to my home page Joakim Linde / gu94joli@dd.chalmers.se

55. Welcome To Caedes.net - Caedes Desktop Wallpaper Archive of desktop wallpapers and backgrounds from the desktop of Caedes. Over 200 images including 3D computer art, fractals, abstracts, nature, and space scenes. http://www.caedes.net/

Galleries Abstract Computer Etcetera Fractal ... User Navigation Discussion Board World Gallery Image Rankings Author List ... Links 10 Users Online xxbenzixx MattMillard joebob 7 guests online 119 members active today 30654 total members Welcome guest Log In or Register User: Pass: Featured Image: Upwards Title: Upwards Author: cc_Beowulf Download this image. Location: Photography->Nature gallery Newest member: joebob Newest image: A Touch of the Past Regular members: 504 Total images: 662 News Welcome to the New and "Improved" cAeDeS.net!! - by 3/10/03 12:08 AM Here with many new and visually offending graphics and animations your pages will load much slower than before this will give you more time to vent you disgust with the new outlook! One of the biggest improvements is the "automatic drive cleaning system" loaded into the site. No more having to worry about cleaning up that cluttered old C drive manually! On that main page you will find some music there to compel the strong feelings you are already encountering in your stomach. You will see that Caedes is certainly proud to show off his nostalgic longing for the days when he (in his former ignorance) could use programs like FrontPage to produce crappy looking web sites.

56. REC Recreational And Educational Computing A newsletter/magazine with programs, including optional supplemental PC disk. All back issues are available. Topics include puzzles teasers, BASIC programming, math, letters, graphics, fractals, challenges, recreation, reviews, wordplay, humor, tips, solutions, and Mathemagical Black Holes. http://members.aol.com/DrMWEcker/REC.html

This page uses frames, but your browser doesn't support them.

57. Suzanne Alejandre - Fractal Links Suzanne's Math Lessons. fractals. Suzanne Alejandre. Magic Squares MulticulturalMath Fair Polyhedra Tessellations What do fractals look like? http://mathforum.org/alejandre/workshops/fractal/fractal3.html

Suzanne's Math Lessons Fractals Suzanne Alejandre Magic Squares Multicultural Math Fair Polyhedra ... Tessellations What is a fractal? From the Fractal FAQ: "A fractal is a rough or fragmented geometric shape that can be subdivided in parts, each of which is (at least approximately) a reduced-size copy of the whole. Fractals are generally self-similar and independent of scale." "There are many mathematical structures that are fractals; e.g. Sierpinski triangle, Koch snowflake, Peano curve, Mandelbrot set, and Lorenz attractor. Fractals also describe many real-world objects, such as clouds, mountains, turbulence, and coastlines, that do not correspond to simple geometric shapes." This Fractal FAQ was created and edited by Ken Shirriff through September 26, 1994. The current editor is Ermel Stepp. Alan Beck writes: "Basically, a fractal is any pattern that reveals greater complexity as it is enlarged. Thus, fractals graphically portray the notion of 'worlds within worlds' which has obsessed Western culture from its tenth-century beginnings." Beck further explains that when we look very closely at patterns that are Euclidean, the shapes look more and more like straight lines, but that when you look at a fractal up close you see more and more details.

58. Panted Fiction Selection of 3D art, manipulations, composites, fractals, and backgrounds. http://www.paintedfiction.com/

A personal visual journey; exploring the often dark areas of one's soul. Several galleries of digital creations ranging from the surreal landscape of the fractal world, the turbulent seas, to a darker canvas of images. An expression of colours and textures just a little different. PaintedFiction.com

59. The Math Forum - Math Library - Fractals This page contains sites relating to fractals. Browse and Search the Library Home Math Topics Dynamical Systems fractals. Contents Why study fractals? http://mathforum.org/library/browse/static/topic/fractals.html

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 The Fractal Microscope - Education Group, National Center for Supercomputing Applications (NCSA) An interactive tool for exploring the Mandelbrot set and other fractal patterns. With the Fractal Microscope students can enjoy the art as they master the science of mathematics, and can address a variety of topics in the K-12 curriculum including scientific notation, coordinate systems and graphing, number systems, convergence, divergence, and self-similarity. The program is designed to run in conjunction with NCSA imaging tools such as DataScope and Collage. more>> 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)

60. Java Applets Several java applets for use in exploring the topics of chaos and fractals. http://math.bu.edu/DYSYS/applets/index.html

JAVA Applets As part of the Dynamical Systems and Technology Project, we have developed several JAVA Applets for use in exploring the topics of chaos and fractals. These applets are designed to accompany the four booklets in the series A Toolkit of Dynamics Activities , published by Key Curriculum Press Applets associated with the book Fractals include: The chaos game . Yes, this is a game. Try to beat the computer by hitting specific targets via the moves of an iterated function system. This game allows students to understand the construction of the Sierpinski triangle via the chaos game. Fractalina. This applet allows you to set up the vertices, compression ratios, and rotations associated to an iterated function system and then compute and view the resulting fractal. If you have black and white monitors, be sure that you choose the appropriate colors for the points from the Color Selection button inside the applet so that you will be able to see the picture! Fractanimate. This applet allows you to string together a collection of fractal images generated by Fractalina into a movie. We encourage you to become quite familiar with Fractalina before trying to use this applet.

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