1. General Info On Fractals General Info on Fractals. Chaos at Maryland (UMDCollege Park). Fractal Compression(UCSD Institute for Nonlinear Science). Fractal Database (Spanky). http://climate.gsfc.nasa.gov/~cahalan/FractalClouds/FractalGeneral.html

General Info on Fractals Chaos at Maryland (UMD-College Park) Fractal Compression (UCSD Institute for Nonlinear Science) Fractal Database (Spanky) Fractal FAQ (References, examples, computations, sofware,...) Fractal Microscope (NCSA) Fractals and Newton's Method (Mathematica exercise) Nonlinear Dynamics FAQ (Jim Meiss) Last Updated Wednesday March 17, 2004 08:42 EST Site Maintained By: Dr. William Ridgway Responsible NASA Official: Dr. Robert Cahalan Privacy, Security, Notices NASA Goddard ... Atmospheres

2. Math On The Web: Mathematics By Topic Equations or Partial Differential Equations Dynamical Systems Fermat s Last TheoremFinite Elements See Numerical Analysis fractals general Exposition General http://www.ams.org/mathweb/mi-mathbytopic.html

Mathematics on the Web Materials Organized by Mathematical Topics AMS Website Math on the Web Mathematics by Topic Mathematics by Topic lists some topic keywords in the Table of Contents. In each section are links to electronic journals, preprints, Web sites and pages, databases and other pertinent material in the corresponding field. There is also a page of Materials Organized by Mathematical Subject Classification . This page was developed from that prepared at the University of Tennessee, Knoxville Math Archives Table of Contents Actuarial Mathematics Algebra Calculus Resources Cellular Automata ... Complex Variables See also Several Complex Variables Complexity and Complex Systems Computational Fluid Dynamics Computational Science ... Cryptology Differential Equations See Ordinary Differential Equations or Partial Differential Equations Dynamical Systems Fermat's Last Theorem Finite Elements See Numerical Analysis Fractals General Exposition General Relativity ... Wavelets Actuarial mathematics Department of Actuarial Mathematics and Statistics , Heriot-Watt University (UK) Balducci's Actuarial Home Page (Calgary, CA)

3. Fractint Homepage Fractint now has a listserver set up for general questions and discussion aboutthe Fractint program and technical questions about fractals in general. http://spanky.triumf.ca/www/fractint/fractint.html

WELCOME to the Fractint WWW pages What is Fractint and what's it all about? Fractint is a freeware fractal generator created for IBMPC's and compatible computers. It is the most versatile and extensive fractal program available for any price. The authors (of which I am not one), work very hard to keep it that way. It has many great features and it is constantly being upgraded and improved by the Stone Soup team. Keep this link as a reference to stay up-to-date with the latest developments. Check out in the latest release. Check out in web resources. Check out on these pages. Getting Fractint Version 20.0 of Fractint Now available. New Image format on these Pages I've started the long process of replacing all the GIF images stored and displayed on these pages over to the PNG image type. If your web browser is having problems displaying them, it may mean you have to update/upgrade your browser. I apologise for any inconvenience, but the issue is being forced by the stance that Unisys has chosen in regard to LZW patent issues and the use of GIF images on Web servers. For more info on this topic see the Burn All Gifs site.

4. Cornell Theory Center Math And Science Gateway Cornell Theory Center. Math and Science Gateway. Mathematics. general Topics. Geometry. fractals. History of Mathematics. Tables, Constants, and Definitions. Mathematics Software. general Topics. Ask http://www.tc.cornell.edu/Services/Edu/MathSciGateway/math.asp

Cornell Theory Center Math and Science Gateway Mathematics General Topics Geometry Fractals History of Mathematics ... Mathematics Software General Topics Ask Dr. Math Ask Dr. Math is a question and answer service for math students and their teachers. A searchable archive is available by level and topic, as well as summaries of Frequently Asked Questions (the Dr. Math FAQ). Calculus Help - A professor in the Department of Mathematics at the University of Hawaii, authored these notes to help students learn how to use, not just understand, the concepts of calculus. A total of fifteen topics are covered and include max-min problems, exponential growth, and the derivation of Kepler's second law. Flash Cards for Kids - This is an interactive flash card site. You can choose among addition, subtraction, multiplication, and division; simple or complicated problems; and how many digits the numbers will have. While this isn't exactly high school material, it's a nice site, so I'm including it anyway. Enjoy, and show it to your kid sister or brother! Graphics for the Calculus Classroom - This is a collection of graphical demonstrations developed for first year calculus, but suitable and interesting for high school students as well. From Douglas Arnold at Penn State.

5. Perfectly Scientific - Home the scientific algorithm company. Experts in compression, wavelets, FFT, general transforms, color graphics, Monte Carlo, fractals, convolution,signal processing, matrix algebra, genetic algorithms, number theory. http://www.perfsci.com/

PSI news New largest prime number! We have a physical poster . The prime is , discovered in May 2004. Newly free software PSI offers unique services that are hard to find elsewhere. We specialize in industrial algorithm problems. Contact us to help solve your specific algorithm problems. PSI offers software that embodies classical algorithms and/or our proprietary algorithms. As for hardware, PSI designs and supports laboratory peripherals for Mac OS X. See our software and hardware page PSI also provides a unique collection of scientific souvenir and gifts.

6. Graphics Archive - General Interest:Fractals general Interestfractals. fractals are mathematical objects that typically have the following fractals often are associated with natural objects, such as the branchings of http://www.geom.umn.edu/graphics/pix/General_Interest/Fractals

Graphics Archive Up Comments General Interest :Fractals Fractals are mathematical objects that typically have the following characteristics a fine structure (detail on abitrarily small scales) too irregular to be described in traditional geometrical language, both locally and globally has some form of self-similarity, perhaps approximate or statistical its "fractal dimension" is greater than its topological dimension is defined in a very simple way, perhaps recursively. Fractals often are associated with natural objects, such as the branchings of a tree, or the tributaries of a stream. A great deal has been written about fractals, and there are several web sites that deal exclusively with fractals (see our list of images on the web). Subgroups: CCL - The cubic connectedness locus (CCL) is a four-dimensional analog of the familiar Mandelbrot set. Clouds - Cloud simulations using spectral synthesis. Henon - The Henon map is a 2-dimensional generalization of the logistic equation. Images: Amoeba Fractal An aperiodic tiling Antoine's Necklace Arbitrary substitution tiling Brot Cheese Fractal DodecaFoam! First Stellation

7. Spanky Other Fractal Docs His general page is titled Dynamical Systems and fractals and he has alsomade available a series of lecture notes for a course on this topic. http://spanky.triumf.ca/www/other_docs.html

THE SPANKY FRACTAL DATABASE The picasso Fractal Fractal Information at Other Sites Check out the New Docs section of at Spanky page. Michael Barnsley's WWW site for Iterated Systems Inc. a commercial fractal compression company. Alexander Bogomolny alexb@cut-the-knot.com also has a page with information on the Feigenbaum phenomenom on a page titled Emergence of Chaos Dave Boll dboll@frii.com has in interesting page showing some of the relationships between Pi and the Mandelbrot set An "Introduction to Fractals from Paul Bourke in Auckland New Zealand. Mary Ann Connors mconnors@math.umass.edu from the Department of Mathematics and Statistics at the University of Massachusetts has created some web-documents describing self similar fractals. There is one titled Exploring Fractals and a modified version from PWS Kent publishers from their Math Modules Case Studies series. Robert L. Devany at Boston University presents some interesting pages on a variety of Fractal and related topics. The main page is titled: The Dynamical Systems and Technology Project and has many interesting links. Some of the most relavent here are: An introduction to

8. Fractals However, the most important fractals deviate from linear selfsimilarity of these are fractals that describe general randomness, while others are fractals that can describe chaotic http://www.fortunecity.com/emachines/e11/86/mandel.html

web hosting domain names email addresses 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.

9. Natural Fractals Activity (part 1) fractals general fractals natural fractalsactivity (part 1). . http://www.fandm.edu/Academics/Foundations/NTW114/frac/gen/frac-gen-natfract1.ht

fractals : general fractals : natural fractals activity (part 1) Fractals Introduction General Fractals Fractals By Replacement Fractals in Crystals Natural Fractals Activity part 1 ... part 2 Bifurcations and Branching The Shortest Distance between 91 points Branching Networks Hausdorf dimension Rocks as Fractals The Dimension of Shorelines Natural Fractals Activity Materials: Background: One activity we can do with fractals is to start with the "transformations" (the rules), use these to create a fractal. This is what you did in your Fractal Activity. Another activity is to take a natural fractal (such as the Cheasapeake shore), and analyze its fractal dimension. But one of the hardest things to do with fractalsand at the same time the most usefulis to take a natural fractal and try to discover the underlying rules which generate the fractal. That is what you will attempt to do today. Fractals at the North Museum: There are a variety of fractal-like objects at the North Museum. Here is a list of some of the ones I have found:

10. Fractals In Crystals fractals general fractals fractals in crystals fractals. •. Introduction. http://www.fandm.edu/Academics/Foundations/NTW114/frac/gen/frac-gen-crystal.html

fractals : general fractals : fractals in crystals Fractals Introduction General Fractals Fractals By Replacement Fractals in Crystals Natural Fractals Activity Bifurcations and Branching The Shortest Distance between 91 points Branching Networks Hausdorf dimension Rocks as Fractals The Dimension of Shorelines Fractals in Crystals Background: The first picture below is a photograph of mica which has threads of iron ore between the layers of mica: these darker lines highlight the hexagonal structure of the mica. You can click on the blotchy section toward the upper right to see a close-up version of the iron infiltration. The second picture is a photograph of a piece of bismuth. (The original is 1.6 inches long). Bismuth occurs naturally, although this piece was grown artificially in a laboratory. Notice the repeating square shapes at many scales. This is an example of a fractal formed by accretion. Bismuth forms square crystals. You can think of accretion as happening by little particles of bismuth being attracted to the existing crystal, and then becoming attached. The corners of the existing crystal have a larger region in which they can attract particles without competition from their neighbor and therefore the bismuth crystals grow more quickly at the corners than elsewhere.

11. DeviantART: Fractals 30 June 2004 Condition to be a member of fractals A list of Gallery FavouritesWeb Site Other fractal communities general communities ~FractalIterations http://fractals.deviantart.com/

Want to get rid of ads? Subscribe to deviantART now! deviant ART U sername: P assword: S earch: Browse Shop Today Forum Software Services Content ~fractals Fractal Lovers and Creators is a Fractal Artist is a deviant since Mar 26, 2004, 2:44 AM has pageviews last visited 2d 8h 30m 17s ago is currently Status: Member Deviations: Deviation Comments: Deviant Comments: Deviant Comments Received: News Comments: Forum Posts: Journal Entries: Shouts: Favourites: Email General Gallery Scrapbook Journal Activity Featured Deviation Apophysis squares Recent Deviations Fractals Avatar Apr 7, 2004 Apophysis squares Mar 30, 2004 Botanical fractal Mar 26, 2004 Deviation Gallery Recent Favourites UZORAK 2 by ~ d-b-c May 18, 2003 Coral by * ancksunamun Mar 26, 2004 Shi-chahn ID v.2 by * shi-chahn Dec 9, 2003 X-ID1 by ~ chaosasylum Dec 17, 2003 ID 2 by ~ Gottheit Apr 6, 2004 More Favourites Watched by laethian tenshiyuna black-lightning Malleycat ... Complete List Fractal Community - Don't forget this Journal Entry: Sun Jun 6, 2004, 3:50 AM A Community by and for Fractal Creators The only condition to be a member of ~ fractals is to have at least 1 fractal deviation in your gallery. This deviation don't have to be in the fractal category; fractal wallpapers or other kind of fractal art accepted as well.

12. Graphics Archive - General Interest:Fractals:Clouds general InterestFractalsClouds. Images 1. 2. 3. 4. The Geometry Center Home Page. Comments to webmaster@www.geom.uiuc.edu. Created Tue Feb 11 71026 CST 1997 Last modified Tue Feb 11 71026 CST 1997 http://www.geom.umn.edu/graphics/pix/General_Interest/Fractals/Clouds

Graphics Archive Up Comments General Interest ... Fractals :Clouds These pictures were created using spectral synthesis, as outlined by Dietmar Saupe and Richard Voss in The Science of Fractal Images, Springer-Verlag, 1988. Comparison of this method with texture modelling and a description of the actual generation of the image can be found in the Summer Institute 1993 report, "Cloud Generation". Images: Clouds 1 Clouds 2 Clouds 3 Clouds 4 The Geometry Center Home Page Comments to: webmaster@www.geom.uiuc.edu Created: Tue Feb 11 7:10:26 CST 1997 - Last modified: Tue Feb 11 7:10:26 CST 1997 The Geometry Center For permission to use these images, please contact permission@geom.umn.edu

13. Graphics Archive - General Interest:Fractals Graphics Archive Up Comments general Interestfractals. fractals aremathematical objects that typically have the following characteristics http://www.geom.uiuc.edu/graphics/pix/General_Interest/Fractals/

Graphics Archive Up Comments General Interest :Fractals Fractals are mathematical objects that typically have the following characteristics a fine structure (detail on abitrarily small scales) too irregular to be described in traditional geometrical language, both locally and globally has some form of self-similarity, perhaps approximate or statistical its "fractal dimension" is greater than its topological dimension is defined in a very simple way, perhaps recursively. Fractals often are associated with natural objects, such as the branchings of a tree, or the tributaries of a stream. A great deal has been written about fractals, and there are several web sites that deal exclusively with fractals (see our list of images on the web). Subgroups: CCL - The cubic connectedness locus (CCL) is a four-dimensional analog of the familiar Mandelbrot set. Clouds - Cloud simulations using spectral synthesis. Henon - The Henon map is a 2-dimensional generalization of the logistic equation. Images: Amoeba Fractal An aperiodic tiling Antoine's Necklace Arbitrary substitution tiling Brot Cheese Fractal DodecaFoam! First Stellation

14. General Product Fractals HOME Neato fractals Product Information Freebies What areGeneral Product fractals? These fractals cover products such as http://www.mindspring.com/~whiteboy1/General_Fractals.html

HOME Neato Fractals Product Information Freebies What are General Product Fractals? These fractals cover products such as: * Neato Covers, Labels, Tray Liners * PC Jigsaw Puzzles * PocketPC Wallpapers * Postcards * Prints * Stickers / Decals * Videos / Slideshow CDs * and other new products as they emerge These do not represent my cross stitch fractals. Below are links from specific sub-volumes. Only twenty fractals from each sub-volume is shown. Volumes may have up to ten sub-volumes. Thumbnail pages are organized like this: This shows thumbnails from three sub-volumes belonging to volume one. The two digits indicate the volume set they are from. The letter after the two digits are the count or depth of sub-volumes in that volume set. "a" is the first sub-volume, "b" is the second sub-volume, and so forth. Fractals are shown as thumbnails only. These thumbnails were created for 800 by 600 displays. This provides a nice balance between file size and image clarity. If you wish to see these four volumes go to FREEBIES and request my 3 inch CD-R. This little disc is playable in virtually every PC / Apple PC whose CD / DVD tray has dual disc wells (a smaller circular relief inside a larger circular relief on the tray of your optical drive.) When viewing these thumbnail CDs I suggest using version 3.x of ACDSee's image browser or comparable software from Photodex. Plug-ins for ACDSee's latest software works fine in 3.x which also supports plug-ins. If you cannot find version 3.x of ACDSee then version 2.x does the same but without plug-in support.

15. 1000Countries.com: Fractals IX: Fractals, Fractal Images, Pictures, Photos, Pain fractals, fractal, images, pictures, photos, designs, geometry, art, landscapes, mountains, sunsets, forests, generator, wallpaper, screensaver Country. Codes. fractals fractals general fractals natural fractals activity (part 1) .. fractals Introduction general fractals fractals By Replacement fractals http://www.1000countries.com/fractals_9.html

Official US Time Clock USA Statistics Dependencies ... Please use your browser's "Back" menu item to get back to 1000Countries.com. Welcome to 1000Countries.com. We have been carrying US government pages since the inception of our Internet presence in 1996. We have just decided to devote an entire server on such important and useful statistical information. Well, there aren't really 1000 countries out there. There are only 267 plus or minus a couple. Enjoy an abundance of basic information about the countries of planet Earth. You may look for information on population, area, religion, government, languages, infant mortality, life expectancy, people, literacy, fertility, birth rate, death rate, and many other items of statistical nature. We are planning to add many more informative items to these pages. Naturally, the site is perpetually under construction. You can write to us by using the address: "friends at 1000graphics dot com". Have fun with our pages, and please come back again.

16. Product Information general fractals These fractals cover the gamut of my numerous fractalproducts. general fractals 18,690 Cross Stitch fractals 7,574. http://www.mindspring.com/~whiteboy1/Fractals.html

HOME General Fractals Infrequently Asked Questions Massive Fractals ... Videos and Fractal CDs What are Massive Fractals? Basically these are the regeneration of existing fractals. They can also be the custom generation of fractals for hire. Massive Fractals are easily big enough for posters, vehicle wraps, billboards, or larger. Customers choosing an existing fractal first pay for regeneration, then they pay to have it printed at a local digital print house or sign fabrication shop of my choosing. This is a hybrid product. It is a service to customers using existing fractals for posters, banners, printed wallpapers, vehicle wraps, etc. It is also a service to business customers where I create new fractals for their company. General Fractals These fractals cover the gamut of my numerous fractal products. From videos to PocketPC, to puzzles, postcards, puzzles, and more. These fractals are different than those used for my cross stitch patterns. You wanted to see fractals and this is the link to use. Other uses The fractals used in these products can also be used for stickers and/or decals. As window decals their beauty can be enjoyed day or night. Do you have a holie PC? Use a fractal decal on the plexiglass. The computer's internal light kit will do wonders. Want to add some sparkle? Slip a sheet of holographic diffraction grating between a decal and your glass / plexiglass. These are sold on the Edmund Scientific website and in their printed catalogs. If you enjoy crafting with tile, paint, wood, metals, etc then consider buying my RGB values for charted fractals. This will enable you to carefully match 100 colors as used in my cross stitch charting program. Then armed with the fractal cross stitch pattern of your choice you can bring them to life in a whole new form and larger than anything you'd ever create with a needle and thread.

17. Fractals of Nature Benoit B. Mandelbrot Geometry Mathematical models Stochastic processes fractals general Mathematics Geometry general Science . http://topics.practical.org/browse/Fractals

topics.practical.org Fractals Trading Chaos : Maximize Profits with Proven Technical Techniques Justine Gregory-Williams Bill M. Williams Marketplace Books ... Discrete Mathematics

18. 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. tenthcentury beginnings. general information about Mandelbrot, fractals, and their computer World of fractals - Adam Lerer. A general site about fractals, including image galleries http://mathforum.com/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 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)

19. Topology - General Gnomon Midhat Gazale Similarity (Geometry) Spirals fractals Geometry Mathematics Topology fractals Geometry - general History Philosophy http://topics.practical.org/browse/Topology_-_General

topics.practical.org Topology - General Topology (2nd Edition) James Munkres Topology General ... Advanced

20. Chaos Theory Resources - Fractals - Directories - Academic Info Mathematics in the Age of the Computer I wrote this book for anyone with an interestin chaos, fractals, nonlinear dynamics, or mathematics in general. http://www.academicinfo.net/mathchaos.html

Academic Info Mathematics Home Search Index Contact ... Mathematics Chaos Theory Advertisers Find Books on Mathematics GRE/GMAT Math Workbook University of Phoenix Online - Earn your degree 100% online. Questia - Search over 70,000 books and journals online. HotJobs.com Looking for a new job? Post your resume here. TheFreeDictionary.com FreeEncyclopedia ESL - Improve Your English Prescription Drug Information ... Lab Band Surgery - The Weight Loss Institute offers research on weight loss and diet pills Online Education.net Online Degrees College-Campus.com ... Auto Insurance Cheap You can sponsor this page Email us for details A Beginner's Guide to Chaos "This page was created to give a short introduction into some of the concepts and creations of Chaos Science. Chaos is very much related to fractal images which many view as both breathtaking artistically and thought provoking intellectually. It's written in fairly simple language and is intended primarily for beginners, however, an understanding of some basic mathematics and math terminology is required. Sections include: What is Chaos ; Calculator Chaos ; What are Fractals ; What is Fractal Dimensions.

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