161. Fractal Explorer: Mandelbrot And Julia Sets (by Fabio Cesari) A fractal tutorial for beginners. Covers Mandelbrot and Julia sets, as well as 4D fractals. Also features an interactive fractal generator. http://www.geocities.com/fabioc

Keywords: fractals, mandelbrot set, fractal, julia sets, quaternion, quaternion julia sets, Mandelbrot, Julia Your browser doesn't support frames. This site is best viewed with , or an equivalent browser that supports JavaScript and frames You can always access this no-frames version of this site. If you have troubles accessing it, please let me know Many people have probably been fascinated by the infinite complexity and beauty of fractals. I wrote this brief tutorial to explain, in simple terms, how the Mandelbrot set and Julia sets are generated. This document provides an informal introduction to these subjects, and is only intended to be a starting point to learn more about fractals and fractal geometry. You can contribute to the future development of this site by filling out the feedback form Comments and suggestions are very appreciated. Have fun! About complex numbers Mandelbrot set Julia sets Images gallery ... Quaternion Julia sets images gallery" Other pages: About the author Links Feedback form Sign my guestbook ... View my guestbook This page hosted by Get your own Free Home Page

162. Module/fractal/index.html MegaGraphics will be making the final selection for the summer interns based on their knowledge of a small area of math used by graphic designers fractals!! http://www.bcpl.net/~sullivan/modules/fractals/

Teacher Resource You could be spending the summer as an intern with MegaGraphics . Over 250 students applied and you are among the final 10 and only two will be chosen. If selected, you will be flown to California to work side by side with our graphic designers on our new project - designing a CD cover for a "soon to be" released movie sound track. As you may already know, we have designed many interactive games, several animated cartoons, designs for wallpaper, etc. Obviously, creativity is an important part of being a graphic designer but a knowledge of Geometry, Algebra and computer programming is a MUST!!!! With this in mind, MegaGraphics will be making the final selection for the summer interns based on their knowledge of a small area of math used by graphic designers - FRACTALS!! The Task The final phase of the selection process will be a short presentation. In less than a month, a selection committee from MetaGraphics will be coming to Baltimore to see your presentation. To get ready for this presentation, you should bring with you a portfolio and a sample of your creativity - a CD cover.

163. Welcome To The Fractal Foundation Inspiring and educating people about fractals, Chaos Theory and the interconnectedness of complex systems. http://www.fractalfoundation.org

...is to educate and inspire people about mathematics, art, science, chaos theory and nature. We focus particularly on efforts to reach young people with our educational programs , and we also connect with adults through our scholarship and art sponsorship programs. We believe that understanding the Principles of Chaos Theory - which are so beautifully illustrated by fractals - is essential to harmonious and sustainable living. No longer is it safe to assume that the cultural, economic and ecological systems in which we live are discrete, linear, disconnected. Rather, we must begin teaching ourselves and our children that the World is a non-linear, unpredictable, interconnected complex system. This radical new paradigm, only recently realized in the new science of Chaos Theory, is still virtually absent from conventional education. The Fractal Foundation seeks to bring these new ways of thinking into the mainstream. The Fractal Foundation educates people about Chaos Theory and Fractals and encourages participation in art, mathematics, and computer technology by: Providing educational materials, presentations and software to school children (K-12), teaching them to explore fractals themselves.

164. Chaos And Fractals Introduction. Chaos is a relatively new and exciting science. Although chaos grew slowly and was often unfavorably viewed its early http://www.pha.jhu.edu/~ldb/seminar/

@import url(chaos.css); Introduction Laplace's Demon What is Chaos? The Butterfly Effect ... References I ntroduction Chaos is a relatively new and exciting science. Although chaos grew slowly and was often unfavorably viewed its early stages, scientists now perform active research in many areas of the field. Presently, there are several journals dedicated solely to the study of chaos. This paper is intended to merely highlight a few of the more interesting aspects in the field of chaos. For further information, please consult the reference section of this document. This paper was written in conjunction with a talk given for Intermediate Physics Seminar of the Department of Physics and Astronomy at the Johns Hopkins University Larry Bradley Next Home

165. Cynthia Lanius' Fractals Unit: Fractal Dimension An easy to comprehend mathematical approach to understanding the significance of the applied study of fractals. http://math.rice.edu/~lanius/fractals/dim.html

Cynthia Lanius Fractal Properties Fractal Dimension 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 ... 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 A point has no dimensions - no length, no width, no height. That dot is obviously way too big to really represent a point. But we'll live with it, if we all just agree what a point really is. A line has one dimension - length. It has no width and no height, but infinite length. Again, this model of a line is really not very good, but until we learn how to draw a line with width and infinite length, it'll have to do. A plane has two dimensions - length and width, no depth. It's an absolutely flat tabletop extending out both ways to infinity. Space

166. Makin' Magic Fractals Freeware Fractal 3d Program Programs, fractals, utilities, freeware, shareware, source code, algorithms, MMFrac from Makin Magic. Makin Magic Programs, fractals, Freeware, and Graphics http://skyscraper.fortunecity.com/terabyte/966/

web hosting domain names email addresses Makin' Magic Programs, Fractals, Freeware, and Graphics This is the Makin' Magic main index page or, if you prefer, Dave Makin's index page. This site is best viewed at width 1024 or higher, the galleries should now view ok at width 640. Main site (or downloads) last updated 8th September 2002. This page last updated 12th February 2001. Prints available on request, the source images for prints are around 8000*6000 (that's about 46 Megapixels). Rough prices of prints: A4-£15, A3-£25, A2-£45, other-POA These prices are for high-quality ink-jet prints, Durst Lambda prints are available on request (POA). Click here to go to my newest gallery site, includes artwork produced using Ultrafractal and MMFrac. Or click on the links below to go to the latest galleries. Click here for the slightly older MMFrac site. The link to my MAIN PAGE is below. Main page I'm 39 years old, from the United Kingdom. If you want a quick look at results from Makin' Magic Fractals download the ZIP below. Download zipped thumbnail examples This download contains pictures created using V1.4

167. Fractogroovalicious ITunes Plugin iTunes plugin generating Julia fractals. http://www.2tothex.com/fractogroovalicious.html

168. Don Archer Digital Art It includes my current images, vintage fractals, animations, fractal music, ceramic tiles, digital photographs, digital postcards, and more http://www.donarcher.com/

Wednesday, 5/26/2004 , 9:37:29 PM ET, Brooklyn and Prattsville, NY Updated May 25, 2004 This site is an exercise in love, vanity and art. It includes my current images, vintage fractals, animations, fractal music, ceramic tiles, digital photographs, digital postcards, and more... There are 4 viewers online now. Enjoy! And thanks for visiting! YEAR 2003 FRACTALS Gallery December 2003 Gallery November 2003 ... January 2003 YEAR 2002 FRACTALS Gallery December 2002 Gallery November 2002 ... January 2002 YEAR 2001 FRACTALS Gallery December 2001 Gallery November 2001 ... Jan-April 2001 NEWEST IMAGES Gallery Trichon Series Gallery Renee Series ... Lake Series COLOR SHIFT ANIMATIONS Don Archer, director CREDITS Online ABS gallery 2001-2003 crowns me "fractal guru" and publishes comprehensive exhibit of my art. Print art included in the collection of Ball State University Art Museum, Muncie, IN. Some 180 fractals included in a CD-ROM, Fractal Frenzy II, Postcards from the Edge of Space, published 1995 by Walnut Creek. Images included in Wirehead's CD-ROM, Virtual Media Gallery by Quantum Access, 1995.

169. Fast Fractals By Robo Fast fractals. RabbIT Are you surfing at slow speed? Take a look at RabbIT, the caching mutating webproxy. caffeineconnection Here http://www.student.nada.kth.se/~d94-rol/fractals/javaapps.html

Fast Fractals Are you surfing at slow speed? Take a look at RabbIT, the caching mutating webproxy Here is the output of my program: A simple julia-generator, thanx goes to Fredrik Sandberg(d94-fsa@nada.kth.se) for help with the algorithm.... Click on it to pause it. Original code was written in c so this is just an easy port. Well I have now speeded the code up a few rounds (no more flaots speed sorta 35 % better) (the size is now 256 * 256 pixels (instead of 200* 200)) (961011) So I found another little optimization for this problem and implemented it (no bigger change) but will gain a few % in speed. (961018) Cleaned the code and made it more responsive. fixed the transparent middle to be black (much more beutiful:-). spedup a few more % =) (970527). Used my julia code to make a fast mandelbrot-generator that is what I consider to be fast enough.. (970614) If you have more suggestions of have to improve the algorithm please let me know preferably by mail I have noticed several buggy jvm with this page IE under mac doesnt even work Here is the Fastjulia source FastMandel source FastJulia Math Here is my speedy sierpinsky triangle. Real fast generation.

170. Screensavers With Cats, Gardens, Linkware,graphics, More At Collectin Cat Cat pictures, stories, gardens with cats, collectibles with cat themes. Greeting cards, fractals, other critters, original scenic wallpaper, graphics with cat themes. http://www.collectincat.com/index.html

Directory After Jehovah and my family, (husband of 40 years, 4 children, 8 grandchildren, 2 great-grandchildren) I have things that I love. We all do it - zero in on a particular specialty, whether it's alive or inanimate. We collect it, we study it, we watch it, we make it, we plant and weed it. And most important, WE LOVE DOING IT. I hope to share some of my loves with you and hear about what you are especially fond of in your world. My favorite animal is the CAT , whether it is my own, or the big jungle cats of the world. And I use my extensive garden for flowers to adopt to all the wonderful things one can do with them. You will see the cats and flowers all through the linkware, the screensavers, the adoptions and all the other graphic fun that I have and offer to you. Wander through my virtual rooms and outside in the yard. Adopt some goodies, get some new linkware, exciting screensavers, store specials, and have fun on your way. Enjoy! All of my websets are of my own making, and you can share through the graphics pages . Most of the photos involved in my pages are originals from my archives, or my digital camera more recently. I have learned much from the groups I have joined and the PSP tubes that have generously been shared. I will try hard to give credit where credit is due. If I have overlooked a source, be kind, and let me know.

171. Fractals And Their Application To Geometry Models fractals and their Application to Geometry Models. fractals Images. Region of the Mandelbrot s Set. (310k). Modelling of fractals Surfaces. http://www.fciencias.unam.mx/Graf/fractales/fract_I.html

172. Fractals Enter the wonderful world of fractals where mathematics meets art and music. http://thinks.com/fractals.htm

Home Fractal Pages at Thinks.com Enter the wonderful world of fractals - where mathematics meets art and music. Sprott's Fractal of the Day Fractal Software Fractals WebGuide Fractal Music WebGuide ... Books about Fractals and Fractal Art Search WWW Search Thinks.com Search for in Baby Books Classical Music DVD Electronics Magazines Outdoor Living Popular Music Software Video About Thinks.com Our other sites: AtoZee (Collectibles), Thinks Global (Travel), 21st Century Home (US) 21st Century Home (UK) A1 Collector Lincoln Smart ... Web Guide

173. Introduction To Fractals: Infinity, Self-Similarity And Recursion Introduction to fractals Infinity, SelfSimilarity and Recursion. Abstract. The fractals generated here all start with simple curves made from line segments. http://www.shodor.org/interactivate/lessons/frac1.html

Introduction to Fractals: Infinity, Self-Similarity and Recursion Abstract This lesson is designed to get students to think about several of the concepts from fractals, including recursion and self similarity. The mathematical concepts of line segments, perimeter, area and infinity are used, and skill at pattern recognition is practiced. The fractals generated here all start with simple curves made from line segments. They display the curiosities that intrigued the mathematicians looking at infinity at the turn of the century. The Hilbert curves demonstrate that a seemingly 1 dimensional curve can fill a 2-d space, and the Koch snowflake demonstrates that a 1-d curve can be infinitely long and surround a finite area. Objectives Upon completion of this lesson, students will: have seen a variety of line deformation fractals have developed a sense of infinity, self-similarity and recursion have practiced their fraction, pattern recognition, perimeter and area skills Standards The activities and discussions in this lesson address the following NCTM standards Algebra Understand patterns, relations, and functions

174. Matti's Homepage Programs including a denoiser, MIDI generation from fractals, sound creation from gifs. http://www.sci.fi/~mjkoskin/

This page contains some audio programs I've writte a couple of tclets for Shortwave enthusiastics (like me). Now they are in new page, namely here Some audio stuff Rain is a tcl/tk-script, that converts gif-image to sound using granular synthesis. Here is tarred and gzipped version for *nix. This is zip-version for Win95 These files include two fractal gifs, which give quite a pleasent sounds. Tk-score is a tcl/tk-script, that creates score and orc from bits and pieces. Untar or unzip and read the README. 21.11.19998 I've corrected some bugs and Linux-version now runs csound and plays in the background, so it's possible to make changes to score while listening. Tk-score isn't actually a composing tool. You have to create your compositions by other means, but with Tk-score, you can create the final one graphically. Linux version of tkscore-0.91.tar.gz Win95 version of tkscore.zip anoi is a wavelet-based denoising program for Linux. This is pre-alpha, but gives some results. anoi-0.2 is out! It gives much better results than 0.1 and can handle sterofiles too. new anoi(10k) 13-Jul-2000 anoi-0.3 is out! You should be able to do now something. System is changed to filtering the signal but wavelets are not forgot.

175. Efg's Computer Lab A large number of Delphi projects involving Image Processing, Color, Graphics, Mathematics, fractals and Chaos. http://www.efg2.com/Lab/

Coming Soon: efg's Research Notes Summary of Changes Projects and Lab Reports Image Processing Scanline Tech Note Manipulating Pixels with Delphi's ScanLine Property ... USAF 1951 and Microcopy Resolution Test Charts and Pixel Profiles Image Feathering Image Encryption: BMP s and JPEG s Rotate bitmap with Scanline Flip and/or reverse bitmap Rotate bitmap 90 degrees Tween: fade from one image to another ... Projects Color Color Mask View selected bits in 24-bit color image CIE Chromaticity Diagrams (1931, 1960, or 1976 diagram using either 2- or 10-degree standard observer) Maxwell Triangle Color Mix Show RGB, HSV, HLS, CMYK Count Colors ... Bitmaps with Different Palettes Color Charts Color Range Segmentation of an Image RGBColors Hue-Saturation-Value YUV : YV-12 / YVU-9, UYVY, Y8, 411 Palette Lab Complete List of Color Projects Graphics Smoothing Algorithm Using Bézier curves (by Jean-Yves Quéinec) Brush Bitmaps Cursor Overlay Very Large Bitmap Experiment Polygon Area and Centroid ... z = f(x,y)

176. The Math Forum: Mathematical Figures By Robert M. Dickau Robert M. Dickau's page. The fractals and Chaos section has figures of attractors, Lsystems in 2 and 3 dimensions, Sierpinski gaskets, bifurcation, and Julia and Mandelbrot sets. Includes Mathematica code. http://mathforum.org/advanced/robertd/index.html

Mathematical Figures Using Mathematica by Robert M. Dickau Back to Math by Subject Fractals and chaos Cantor dust (about 5K) Julia sets Another Julia set Mandelbrot (and similar) sets Randelbrot set ... Lozi attractor Combinatorial figures Catalan number diagrams (around 70K, and worth every bit) Permutation diagrams Derangements 2D shortest-path diagrams 2D shortest-path diagrams, text version ... Search http://mathforum.org/

177. Pizzi.cjb.net - Ed Pizzi's Projects A programming site with freeware programs source code. Mostly assembly, some C. VGA demos, OS development, fractals, tutorials, tsr's, windows assembly. http://www.patmedia.net/eaj.pizzi/

http://pizzi.cjb.net/ last updated 28 jul 2002 pizzi(at)pizzi.cjb.net host : rcn pizzi.cjb.net operating system assembly/c projects utilities docs/tutorials ... links home os assembly/c utils docs ... ... and now for something completely different This site was made with EdPad.

178. Edward Boas -- Fractal Text Turn words into fractals. http://b435-boas.stanford.edu/home/science/ftext/index.html

Type in a word and get back a fractal. The word must contain between 2 and 10 letters. No numbers, spaces, or punctuation. Small Medium Large Return to the main page

179. Fractal:Edge Products for navigating large information sources quickly and accurately using a visualisation technique based on fractals. Features overviews, news, downloads and extranet. http://www.fractaledge.com

Site loading... Home Products Solutions Partners ... Downloads Fractal:Edge develops visualization and analysis software to help you access and understand large, complex or fast-moving information sources quickly and accurately. "Fractal:Edge technology ... is highly intuitive and compelling, and extremely smooth in its operation ... a refined and truly business ready solution" Mike Davis, Analyst, Butler Group Manage performance and risk in realtime with Fractal:Financial , Fractal:Edge's latest invaluable data analysis application for fund managers, investment analysts, risk managers and traders. Spot key problems and successes in your business performance more quickly and reliably with Fractal:Intelligence , Fractal:Edge's visualization package for financial control, operations monitoring, management reporting and business intelligence purposes. Publish bespoke Fractal Maps online, and integrate them into your products and services with Fractal:SDK , a complete visual development environment and application programming interface for Fractal Maps. It's here! The newest release of acclaimed file manager

180. CPS: Java Applets Related Pages Exploring Patterns in Nature Curriculum Guides; Patterns in Nature Student Activity Guides developed by teachers attending our Patterns in Nature http://polymer.bu.edu/java/

Related Pages: Exploring Patterns in Nature Curriculum Guides Patterns in Nature Student Activity Guides developed by teachers attending our "Patterns in Nature" workshops Unit 1: Monte Carlo Estimation of Pi Unit 2: Can You Beat Randomness? Unit 3: One-Dimensional Random Walk Unit 4: Two-Dimensional Random Walk ... Send Us Your Comments This material is based upon work supported by the National Science Foundation under Grant Nos. MDR-8955041, ESI-9353500, and DUE-9555194. Any opinions, findings, and conclusions or recommendations expressed in this material are those of the author(s) and do not necessarily reflect the views of the National Science Foundation.

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