 Fractal Geometry  Introduction  Harold Brochmann
Links to a series of articles exploring: The notion of dimension; The notion of selfsimilarity; The length of a coastline; The Sierpinsky Carpet; The Mandelbrot Set  the icon of chaos; and Applications of Fractal Geometry.
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 Fractal Image Encoding  Yuval Fisher; Institute for Nonlinear Science, University of California at San Diego
A page with links to a variety of information and resources on fractal image encoding and related topics: Bibliographies and Other References; Books  including Fisher's own Fractal Image Compression: Theory and Application to Digital Images; Conferences
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 Fractal Images  Sharon Webb
Fractal images made for the most part using a software application called Flarium24. Galleries contain about 15 images each and should be viewed in hicolor or truecolor settings. Tilable images that can be downloaded for wallpaper are also available.
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 Fractal Images  Softsource CAD
Images of the Mandelbrot set, a fractal generated from a simple mathematical formula, produced by DRAWING Librarian Professional (DP).
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 Fractal Landscapes  Adam Brown
Results from the author's fractal landscape generation rendering computer program. Galleries, with an introduction to the ideas behind fractal landscape generation, and links to other fractal sites on the Internet.
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 Fractal Metaphysics Home Page  Christopher Sunami
A clearinghouse of (serious) materials on the web focused on the relationship between fractal geometry, chaos theory, and metaphysics. Essays, related sites, galleries, and recommended reading.
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 Fractal Mountains  Matthew Caryl
Fractal systems repeat the same type of features on smaller and smaller scales when you look closer and closer. Mountains are a natural example of this  a mountain range is rugged  a mountain is rugged  a valley on the mountain is rugged  and the
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 Fractal Music  G. Forrest Cook
Audio excerpts from a compilation of fractal music put together by the author.
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 Fractal Page  Frode Gill
Tutorials on Mandelbrot and Julia Sets and Quaternions; JavaScript for generating Mandelbrot sets; downloadable Quaternion generator (v1.2) with or without Borland.DLL files, and its Borland C++/OWL source (program requires Windows 3.1 or above, and the
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 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 Circle Inversions  Michael Frame, Barbara Bemis, Colleen Clancy, Tatiana Cogevina; Union College, Schenectady, NY
Inversion across a circle was introduced by Appolonius of Perga, whose definition of inversion was synthetic, as was all geometry at that time. This article gives an analytic characterization, with an explanation of inversion limit sets, and three animations
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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 @ chaotic nspace network  Jon Camp, Benjamin Martin
A short introduction to fractals, fractal galleries, a link to a small fractal software collection, and links to other fractal galleries.
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 Fractal Science Kit  Ross Hilbert
A Windows program for exploring fractals including: Mandelbrot, Julia, Convergent, Newton, Orbit Traps, Sierpinski Triangle, IFS, Strange Attractors, RepN Tiles, Symmetric Icons, Apollonian Gasket, Circle Inversion, Schottky Group, Kleinian Group, LSystem
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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 (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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 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 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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 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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 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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 Fractional Calculus
Introductory notes on Fractional Calculus.
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 Fractional Tree Calculator  Henryk Trappmann
Fractional trees are a new kind of number (extra to quaternions, octonions, nonstandard reals, Conway numbers, etc.), an algebraic generalization of fractional numbers. Experiment with this web application
to get a first impression.
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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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 Fractured Theorems  Koetz, Matt; Lewis, Heather A.; and McKinzie, Mark
Humorously corrupted theorems, reimagined and redefined: Tschubby chefs theorem, Galoislapalooza theorem, Piano existence theorem, Seinfeld's completeness theorem, BanachStarsky and Hutch theorem, Girdle incompleteness theorem, Fig Newton method,
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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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 Frank Garvan
Frank Garvan is a mathematics professor at the University of Florida. His combinatorics research articles are available for download in PostScript and .dvi formats. A Maple package for qseries may also be downloaded. One may also find the syllabi
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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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 Frattali  Isawi
Disegni a mano libera elaborati con Autocad e Photoshop per creare immagini di tipo frattali.
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 Frax  Weiss, Ben; Krause, Kai; and Beddard, Tom
Immersive app for creating and exploring fractals with multitouch gestures: pinch, swipe, rotate to fly, tilt to steer . Zoom into more than a trilliontoone depth range of the classic Mandelbrot set and the more selfsimilar Julia sets — infinitely.
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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 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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 Fred Rickey's Home Page  Fred Rickey, Department of Mathematical Sciences, United States Military Academy
Information about courses Rickey has taught about the history of mathematics. Historical notes for calculus teachers cover Torricelli's trumpet, Clepsydra, the history of the brachistochrone, the bridge and the catenary, Cauchy's famous wrong proof, and
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 Free College Algebra and Trigonometry Notes  Michael Sakowski
These notes are in PDF and MS Word form. For the algebra notes, you may edit the MS Word form to your liking and then print to a PDF file. The trigonometry notes are in PDF format only.
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 Free Complex Matrix and Vector classes  Abdon Pijpelink
Two C++ classes: implementations of a matrix and a vector of complex numbers. Free for everyone.
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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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 Freely Available Software for the Solution of Linear Algebra Problems  Jack Dongarra
Software for highperformance computers, available in source form for problems in numerical linear algebra, specifically dense, sparse direct and iterative systems and sparse iterative eigenvalue problems.
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