1. General Info On Fractals General Info on Fractals Chaos at Maryland (UMDCollege Park) Fractal Compression (UCSD) Fractal Database (Spanky) Fractal FAQ (References, examples, computations, sofware ) Fractal Microscope (NCSA) FractalNet (Commercial) http://climate.gsfc.nasa.gov/~cahalan/FractalClouds/FractalGeneral.html

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. School-Library.com Music and Fine Art News and Current Events PhysEd Religion Science TechnologyMath Algebra Calculators Calculus Finite fractals general Math Geometry Math http://www.school-library.com/gitc/slib/s_main.cfm

Article Searches Magazine Search Type the keywords of the article you are looking for and press search. The search engine will return with articles that match your keywords. Click here for a list of Magazines Searched Journal Search Type the keywords of the article you are looking for and press search. The search engine will return with articles that match your keywords. Click here for a list of Journals Searched If prompted please use Username: user Password: school Site Search Enter in the general topic you are looking for. Example "Animal" or "Explorer". Statistics Canadian Statistics Statistics Canada's E-STAT is an interactive learning tool designed with the needs and interests of the education community in mind. E-STAT offers you an enormous warehouse of reliable and timely statistics about Canada and its ever changing people. Registered Schools Non-Registered Schools Are You Registered? Secondary Subjects ( Click here for Elementary Art Art History Art Museums and Exhibits ... Contact Us

4. OpenGL @ Lighthouse 3D - Tutorials Links Full list Audio BSP coding collision converters DirectInput engine extensionsfractals general GLUT LSystems lighting misc occlusion particle systems http://www.lighthouse3d.com/opengl/tutorials.shtml?subtipo=fractals

5. Fractal Clipart And Pictures Atoms Molecules Bacteria Barometers Brain Chemistry Clouds Compasses Dentist DoctorEarthquakes Environment Equipment Fossils fractals general Hurricane Lab http://www.clipartoday.com/science/fractal01.html

Click Here CLIPART HOME Clipart Categories Home Animals Astronomy Buildings Cartoons Christian Food Holidays Objects Office People School Science Sport Transport Web Graphics SCIENCE CLIPART Anatomy Astronomy Bacteria ... ClipArt.com - This is a large selection of high-quality clip art with results returned for the search term "Science Clipart" but there is almost any type of clip art you need here as well. It's a subscription service but it's well worth the price - I've been a member for years - and the images can be used on a commercial site. The images are all online so you get instant access and the nice thing is that there are many different styles of art to choose from. There are also many photos to choose from. 2,500,000 Images! Search for: In: Clipart Photos Fonts Webart IconBazaar 9 great pages of fractal clipart. Very relaxing stuff! POSTER HOME SCREENSAVERS FREE PHOTO GREETING CARDS ... anywhere else? NEW PAGES ! Lilo and Stitch Powerpuff Girls Baseball Football ... Clipart CD,s Contact us OFF Ink jet cartridges! . Please save money... (click here) Home Animal Art ... Privacy Statement Questions and suggestions, please send email to

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

7. Fractint Homepage Offers a download of Fractint, a freeware fractalgenerating program. Includes links to documentation, tutorials and a fractal screensaver. about the Fractint program and technical questions about fractals in general. Here's where to get instructions on how 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.

8. Kids Web - Math Links to math puzzles and projects, including chaos and complexity, fractals, geometry and problem solving. Mathematics. general Math Pages. Ask Dr. Math! Computer animations and images of fractals. Geometry. The Geometry Center at the University of Minnesota http://www.npac.syr.edu/textbook/kidsweb/math.html

Mathematics General Math Pages Ask Dr. Math! The Swat Team answers your math questions The Mathematics FAQ Answers to Frequently Asked Questions about mathematics, such as the largest primes and the proof of Fermat's Last Theorem Mathematical Quotations A collection of mathematical quotations, mostly from famous mathematicians Mathematics Dictionary A dictionary of math terms MegaMath A presentation of unusual and important mathematical ideas, aimed at elementary school level Chaos and Complexity Chua's Oscillator: Applications of Chaos to Sound and Music A description of how chaotic electrical circuits can be used to make interesting electronic sounds, including some example sample sound files Xmorphia An interactive display showing how complex patterns can be formed by solving fairly simple mathematical equations Fractals Fractals and scale An introduction to fractals The Spanky Fractal Database A fabulous resource for fractal images, software and information Fractal images and animations Computer animations and images of fractals Geometry The Geometry Center at the University of Minnesota The Geometry Center has some great multimedia exhibits about geometric structures, including

9. Welcome To The Cornell Theory Center Comprehensive math resource covers general math topics, as well as geometry, fractals, the history of mathematics, and tables, constants, and definitions. 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). Algebra For Everyone - A collaborative math project with Carnegie Mellon University in Pittsburgh that uses computer and artificial intellignce tutors to revitalize math education in local public schools. 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.

10. Perfectly Scientific, Inc. 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/

Software Mac OS X apps StockLab IMKit BlackHolePro ... Mathematica® Free goods WaveletLab Large-integer C code Technical papers Scientific souvenirs ... Prizes About PSI Perfectly Scientific, Inc. is an algorithm company. We sell software that embodies classical algorithms and/or our proprietary algorithms. We also provide algorithm consulting in such disparate fields as: Signal processing, cryptography, quasi-Monte Carlo, color graphics, general mathematical modeling for industry. PSI also offers free technical papers and book-links that connect with our algorithm business. In addition, we sell scientific souvenirs , and these may be of interest even for nontechnical customers. News PSI has new Mac OS X applications for sale. Some of these are previously free demos that have been upgraded by us to full-feature app status. We offer such apps at-we hope you agree-very reasonable prices. New largest prime number!

11. Graphics Archive - General InterestFractalsClouds Graphics Archive Up Comments http://www.geom.umn.edu/graphics/pix/General_Interest/Fractals/Clouds/

12. 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

13. Spanky Welcome Collection of fractals and fractalrelated material includes images and software. What's New in fractals. An index of Fractal material at Spanky. Some general information about Spanky. http://spanky.triumf.ca/

THE SPANKY FRACTAL DATABASE The Elastic Fractal Welcome to the Spanky Fractal Database I also point to a great deal of material that is not at this site. Consequently I have no control of when this information or service is removed or am I notified if the URL becomes invalid. I try to check my indexes periodically to see what is still valid, but it is not an automated process. If you find URL's that I point to have become outdated and constantly fail to respond on your attempts to load them, (over several days) then please inform me of this problem and I will remove them from my lists. Mirrors of Spanky Fractal Database The main site for this fractal database spanky.triumf.ca is now completely mirrored at spanky.fractint.org Many thanks to Damien M. Jones at Fractalus for hosting the mirror site and for his help in setting it up. New PNG image format used Enjoy and discover. A Table of Fractal Information. What's New in Fractals An index of Fractal material at Spanky. Some General information about Spanky.

14. 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:

15. 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.

16. Bigchalk: HomeworkCentral: General (Chaos Theory & Fractals) Search Tips HomeworkCentral Linking Policy. HIGH SCHOOL BEYOND Mathematics Advanced Topics Chaos Theory fractals general. http://www.bigchalk.com/cgi-bin/WebObjects/WOPortal.woa/Homework/High_School/Mat

Home About Us Newsletters My Products ... Product Info Center Email this page to a friend! K-5 General document.write(''); document.write(''); document.write(''); document.write(''); World Book Online Article on CHAOS [field of science] Chaos a pictorial introduction Chaos gallery Discover Fractals ... Contact Us

17. Bigchalk: HomeworkCentral: General (Chaos Theory & Fractals) HomeworkCentral Search Tips HomeworkCentral Linking Policy. MIDDLE SCHOOL Mathematics Advanced Topics Chaos Theory fractals general. http://www.bigchalk.com/cgi-bin/WebObjects/WOPortal.woa/Homework/Middle_School/M

Home About Us Newsletters My Products ... Product Info Center Email this page to a friend! K-5 General document.write(''); document.write(''); document.write(''); document.write(''); World Book Online Article on CHAOS [field of science] Chaos a pictorial introduction Chaos gallery Discover Fractals ... Contact Us

18. Bibliography: General Fractals Bibliography general fractals. The original BibTeX file from whichthis file was generated is available at http//www.dip.ee.uct http://www.dip.ee.uct.ac.za/~brendt/bibliographies/html/fractals.html

Bibliography: General fractals The original BibTeX file from which this file was generated is available at http://www.dip.ee.uct.ac.za/~brendt/bibliographies/bibtex/fractals.bib . Please note that the file http://www.dip.ee.uct.ac.za/~brendt/bibliographies/bibtex/header.bib containing string definitions is also required. Last update: Monday 8 December 1997 Current number of entries: M. F. Barnsley and S. G. Demko , editors. Chaotic Dynamics and Fractals , volume~2 of Notes and reports in mathematics in science and engineering . Academic Press, London, England, 1 edition, 1986. R. L. Devaney and L. Keen , editors. Chaos and Fractals (The Mathematics Behind the Computer Graphics) , volume~39 of Proceedings of Symposia in Applied Mathematics . American Mathematical Society, Providence, RI, USA, 1989. K. Falconer Fractal Geometry: Mathematical Foundations and Applications B. B. Mandelbrot The Fractal Geometry of Nature H.-O. Peitgen and P. H. Richter The Beauty of Fractals . Springer-Verlag, Berlin, Germany, 1986. H.-O. Peitgen and D. Saupe

19. Graphics Archive - General InterestFractalsHenon general InterestFractalsHenon. The Henon map is given by H(x y) = (x^2ay+c x), where a and b are arbitrary parameters. http://www.geom.umn.edu/graphics/pix/General_Interest/Fractals/Henon

20. Bibliography: General Fractals Bibliography general fractals. The original BibTeX file from which thisfile was generated is available at http//cnls.lanl.gov/~brendt http://cnls.lanl.gov/~brendt/bibliographies/html/fractals.html

Bibliography: General fractals The original BibTeX file from which this file was generated is available at http://cnls.lanl.gov/~brendt/bibliographies/bibtex/fractals.bib . Please note that the file http://cnls.lanl.gov/~brendt/bibliographies/bibtex/header.bib containing string definitions is also required. Last update: Tuesday 13 April 1999 Current number of entries: M. F. Barnsley and S. G. Demko , editors. Chaotic Dynamics and Fractals , volume~2 of Notes and reports in mathematics in science and engineering . Academic Press, London, England, 1 edition, 1986. M. Barnsley Fractals Everywhere . Academic Press, San Diego, CA, USA, 1988. R. L. Devaney and L. Keen , editors. Chaos and Fractals (The Mathematics Behind the Computer Graphics) , volume~39 of Proceedings of Symposia in Applied Mathematics . American Mathematical Society, Providence, RI, USA, 1989. K. Falconer Fractal Geometry: Mathematical Foundations and Applications B. B. Mandelbrot The Fractal Geometry of Nature H.-O. Peitgen and P. H. Richter The Beauty of Fractals . Springer-Verlag, Berlin, Germany, 1986.

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