 Fractal Past, Fractal Future  Ivars Peterson  Science News Online
Fractals have invaded the popular imagination. Calendars, computer screens, and books feature vivid, phantasmagorical images of weirdly branched, wildly swirling structures. Some fractal history, and an essay about the geometric complexity of natural
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 Fractals and Chaos Theory  Fractional Sanity
A brief introduction to chaos and fractals.
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 Fractals, Art, Pattern, Symmetry...  Clifford A. Pickover
Melding art, science, mathematics and other seemingly disparate areas of human endeavor. Links to detailed information on Pickover's books (of particular math interest are: Chaos and Fractals: A Computer Graphical Journey; The Loom of God; Fractal Horizons
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 Fractals as Art  Melissa Binde, Swarthmore College
"...fractals are an art form. The mathematics provides the form, but it is up to the individual creator (artist) to choose the boundaries, colors, and manner of presentation of each fractal." Three categories: "standard" fractal fare, reproducible with
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 Fractals by Nous  Stephen A. Karl
A collection of fractal art generated using UltraFractal, Tierazon, Grafzvizion and Fractint 19.6.
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 The Fractals Calendar  Daryl Hepting, University of Regina, Saskatchewan, Canada
In each year since 1991, a calendar of computergenerated images has been published, based on the fractal geometry of Benoit B. Mandelbrot. Previously, the calendar was first done as a custom edition and then as a trade edition in the following year.
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 Fractals: Definition & Activities  Suzanne Alejandre
A Math Forum Web Unit. Includes definitions and descriptions of fractals, links to pages on the Sierpinski triangle, the Koch edge, the Peano curve, the Lorenz attractor, and the Dragon curve; and more links to fractal sites on the Web.
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 Fractals from Ojai  Art Baker
A fractal gallery and homepage in one.
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 Fractals in Science: Simulations  Center for Polymer Studies, Boston University
Handson activities, laboratory experiments, and interactive visualization programs that encourage students to explore how fundamentally random microscopic events can give rise to fractal macroscopic patterns. An image gallery and fractal related software
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 Fractals  JeanPierre Louvet
Information and more than 250 images created by the author using Fractint, GrafZViZion, etc.
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 Fractals  Martin Sandin
A Java applet that allows you to zoom in on the Mandelbrot set. Buttons are in Swedish, but the interface is straightforward and translation is provided. Also includes a few sample images.
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 Fractals (Mathematics Archives)  University of Tennessee, Knoxville (UTK)
An extensive list of links to sites with information about fractals, classified by level and type of resource.
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 Fractals: Nature's Numbers?  Daryl Hepting, University of Regina, Saskatchewan, Canada
Exploring the connections between nature and numbers. Contents include: Can numbers describe nature? (musical scales, sunflower heads, coastlines, clouds); Nature's dynamics (predator/prey, butterfly effect, symmetry in chaos, the Mandelbrot set); and
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 Fractal Software  Thinks.com Ltd.
Fractal software, including many freeware and shareware programs, for PCs and Macs, for learning about fractals and for creating and exploring fractal images.
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 Fractals on the Web  Chaffey High School
An extensive searchable collection of sites dealing with fractals, in the following categories: programs, galleries, fractal music, fractal compression, fractal theory, and fractal newsgroups.
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 Fractals (The Geometry Junkyard)  David Eppstein, Theory Group, ICS, UC Irvine
An extensive annotated list of links to material on fractals.
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 Fractals  ThinkQuest 1997
Information (definition, applications, fractal mountains), data sets (Mandelbrot and Julia), and animations with source code.
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 Fractals Unleashed  Aronov, Radomyselskiy, Ming; ThinkQuest 1999
A tutorial on fractals, including types of fractals, famous fractals, applications, programs and downloads, links, references, and a Kids Zone. With Java applets and CGI programs, a gallery, and a fractal art contest. In English, Russian, and Ukrainian.
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 Fractals with Mathematica  Robert M. Dickau; Math Forum
Some simple fractal images and Mathematica code for Cantor dust; Julia sets; Mandelbrot (and related) sets; Randelbrot set; Menger sponge; Sierpinski tetrahedron; Newton's method; variation on Newton's method; Sierpinski carpet; 2D and 3D Lsystems (also
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 Fractalus Entrance  Damien Jones et al.
Galleries: a site designed to display the best in fractal art.
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 Fractal Video Art Gallery  Eric Shol
Fractals generated using Fractint, free for copying and distribution on a noncommercial basis. Recent Acquisitions; Room Two (Bluedive I & II  image/animation); Room Three (Zoom  image/animation); Room Four (Twist); Room Five (Rose, Dome, Joy).
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 Fractal Wallpaper  Ian Anderson Design
A gallery of fractal wallpaper images.
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 FractaSketch  Peter Van Roy
FractaSketch is a drawing tool for Macintosh based on linear fractal geometry. The program allows, by direct manipulation (no equations), full control over the shape, complexity, and colorization of the fractal. Downloadable freeware, flyer, user manual,
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 FractEd: The FractEd Information Pages  Douglas Martin; EALSoft
FractED is an introductory fractal tutorial for high school and college students that discusses elements of fractal geometry and chaos theory. It includes interactive programs which demonstrate the techniques of fractal generation and provides links
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 Fractiles7  Max Pelletier, Beverly Johnson
Magnetic tiles that use angles based on the number 7 and allow you to make designs with repeating and nonrepeating patterns. Create starbursts, spirals, butterflies, mandalas, flowers, spaceships, and more. Offers a good way to introduce tiling theory
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 FractImage  David Rose
Preview jigsaw puzzle images that exhibit selfsimilarity, and purchase the puzzles online. Visit the fractal gallery; read about fractals and FractImage; and download fractal wallpaper for your desktop.
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 Fractint  Noel Giffin; Univ. of British Columbia, Vancouver, B.C., Canada
Fractint is a freeware fractal generator created for IBM PC's and compatible computers and constantly being upgraded and improved by the Stone Soup team. This is a page for fans of Fractint and fractal creation for the trading of parameter files created
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 The Fractint Wishlist  The Stone Soup Group
A forum for collecting ideas about what needs to be done to keep Fractint in its place as "(probably) the best fractal generator," with a link to download the source code and the executable, directions for joining the fractint mailing list, and archived
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 Fraction Help  Math Forum, Teacher2Teacher FAQ
Answers to a frequently asked question: How do I help students learn about fractions?
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 Fractions and Corresponding Percents  NASA Lewis Learning Technologies Project
Which statement is correct? 27 percent < 1/4; 12 percent = 1/8; 3 3/5 = 335 percent; 2/3 > 66 percent. A detailed answer is provided. From NASA's 9th Grade Math Proficiency Test.
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 Fractions and Paper Folding (SMILE)  Bill Wagner, Hyde Park Career Academy
A lesson that develops the concept and properties of fractions using paper folding (origami). From the Recreational and Creative Math section of a collection of almost 200 single concept lessons by the Science and Mathematics Initiative for Learning Enhancement.
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 Fractions, Cycles, and Time  Ivars Peterson (MathTrek)
In ancient times, people had to confront awkward numbers in astronomical contexts when they compared the motions of the sun and moon. The unfailing, daily passages of the sun across the sky and the corresponding movements of the stars at night represented
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 Fractions: Parts is Parts  Energy Conservation Enhancement Project
Incandescent & fluorescent lighting. Math objectives: 1. Describe the two parts that make up a fraction. 2. Explain mixed numbers and improper fractions. 3. Find the least common denominator. 4. Reduce fractions to lowest terms. Energy objectives:
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 The Fractory: An Interactive Tool for Creating and Exploring Fractals  Green, Kulesza, Bergstresser; ThinkQuest 1996
Learn about fractals  what they are and how to design them  and discover more on your own. Fractals show an order in seemingly random things, and give us tools with which we can predict the weather, render natural looking objects, and help understand
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 FracZoom Explorer, FracZoom Navigator  SoftOrange Interactive
FracZoom Explorer is a fractal program that lets you explore a 3D world to find a lost damsel, then examine fractals for yourself. FracZoom Navigator allows you to create films of your fractal zooms at very fast rates, plus up to 24bit fractal images.
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 Fragments of the Past  Ivars Peterson (MathLand)
Historians of mathematics now generally agree that scholars in China, India, and the Islamic world produced remarkably sophisticated mathematics between the fifth and the fifteenth centuries. However, most would probably still argue that Europeans in
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 Francophone Mathematics Resources  Gatwood/Peckham
An alphabetical list of links to math resources in French, including math departments, journals, centers and labs, libraries, etc. in both France and Canada. This list was created by David A. Gatwood from a list by Bob Peckham (TennesseeBob).
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 Franklin Institute Science Museum  Philadelphia, Pennsylvania
The online entry point for the Philadelphia science museum, featuring indepth multimedia virtual exhibits and explorations, resources for teachers, and guides to the reallife museum and its programs. The website features a large selection of educational
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 Frank's World: Math on Cable  Ivars Peterson (MathLand)
"Hi, you're live on Math Chat!" The question from the caller sounds pretty tough: "Three salesmen visit a shop. One comes every four days, another every five days, and the third every 10 days. If all of them were at the shop today, how long would you
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 Fraperdec* (SMILE)  Connie Taylor, Holy Angels School
A lesson that uses playing cards to enrich and develop skills in conversion and sequencing of fractions, decimals and percentages, both in each individual set and in cross sets. From the Recreational and Creative Math section of a collection of almost
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 Frattali  Isawi
Disegni a mano libera elaborati con Autocad e Photoshop per creare immagini di tipo frattali.
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 Freakonometrics  Arthur Charpentier
Blog by a Montreal professor of actuarial science "addicted to R." Posts, which date back to March, 2007, have included "Dynamic dependence ordering for Archimedean copulas and distorted copulas," "Pricing catastrophe options in incomplete markets," "Estimation
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 Freaky B's Disc Golf  ridiculopathy.com
Fling a virtual frisbee through an eighteenbucket disc golf course subject to wind and collision effects. Requires the Flash plugin.
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 Freaky Links  Cut the Knot!, Alexander Bogomolny with William A. McWorter Jr.
Mathematics impinges on itself and the sciences in unexpected and bizarre ways. This page is a small illustration of this phenomenon, taking up recreational mathematics and the game of Chinese checkers, the strategy game called Hex, quasigroups, and block
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 Free Daily Sudoku Puzzles
For this canonical puzzle the aim is to fill every square in the 9x9 grid with a number 19. Every row, every column, and every 3x3 box must contain the digits 1 through 9. Free Daily Sudoku has online puzzles and daily puzzles by email or RSS feed. Also
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 Free Doughnuts  Web Feats Workshop II
You have a piece of cardboard 24 by 15 inches. Your problem is to figure out how much to cut out of each corner to make the box with the biggest (maximum) volume. Use the applet to explore how changing the size of the cutout changes the box. This workshop
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 The Free Fall Research Page  Green Harbor Publications
Accounts of people who "have survived a fall of thousands of feet without a working parachute." In particular, learn facts about "falling math"  how to calculate terminal velocity  and download the Free Fall Research Page Speed Conversion Table, which
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 Free Math Education Online Tutorials  Kirti Sharma
Free math primers, lessons, and practice problems  with mouseover and clickable solutions  on adding and subtracting algebraic expressions, properties of operations, the absolute value function, the number system, solving quadratic equations, intercept
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 Free Math Help  Florent Gouachon; fmaths.com
Free math lessons and problems from 1st Grade to 11th Grade. Free signup required in order to save your work.
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 Free Math Help  Ted Wilcox
Free tutorials, glossary, study tips, calculator advice, and more, including annotated links to other resources.
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