- Dynamical Systems (Graphics Archive, Special Topics) - The Geometry Center
Modeling the time-evolution of the state of a physical system of quantities, attempting to understand all possible long-term behaviors.
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- Dynamical Systems on the Torus - Paul Trow
An illustrated essay introducing dynamical systems on the torus.
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- EarthKAM - Sally Ride Science
An educational outreach program of the National Aeronautics and Space Administration (NASA), EarthKAM stands for "Earth Knowledge Acquired by Middle school students." Search the collection of images of specific locations on Earth, as photographed from
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- Educational Interests - Keith Lynn
See, in particular, Lynn's Math Modeling Project, which features Java applets to produce quadratic and sine examples; and Dynamics Project, on the Julia and Mandelbrot sets.
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- E-G Models (Electronic Geometry Models) - Michael Joswig, Konrad Polthier
A refereed archive of interesting geometric examples and visualizations, open for any geometer to publish new geometric models, or to browse the models for material to be used in education and research. The geometry models cover a broad range of mathematical
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- The Electronic Encyclopedia of Statistical Exercises and Examples
Supplementing introductory textbooks, the Electronic Encyclopedia of Statistical Exercises and Examples (EESEE) comprises over 80 "real-world" stories, or examples, about the uses and abuses of statistics and statistical inference, drawn from published
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- Elements Of Design - Colleen Deery
Explore galleries of fractal art by artist Colleen Deery.
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- Erich's Packing Center - Erich Friedman
A huge collection of packing problems, each explained with graphics. 2D examples include Triangles in Squares, Circles in Squares, Squares in Squares, Triangles in Triangles, Circles in Triangles, Squares in Triangles, Triangles in Circles, Circles in
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- Escher and the Droste effect - B. de Smit and H. W. Lenstra Jr., Mathematisch Instituut, Universiteit Leiden, the Netherlands
Applying mathematics to Escher's Print Gallery. A mathematical analysis of Escher's "The Print Shop," including an image of the original print. See the article (PDF format) Artful Mathematics: The Heritage of M.C. Escher in the Notices of the AMS, bringing
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- Escher Tiles - Hop David
Tessellations that resemble recognizable objects, created by the author in the style of M. C. Escher.
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- Everywhere, Butterflies
A gallery of fractal pictures created using Sterling, a shareware program by Stephen Ferguson.
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- Exploring the Euler Gamma and Riemann Zeta Functions - Sjoerd J.Schaper
A graphic Euler gamma and Riemann zeta explorer, built around the binomial version of Peter Borwein's "An Efficient Algorithm for the Riemann Zeta Function" (1995). The program plots function values on the real line, draws Argand diagrams of the mapping
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- Faceted Objects: Tanks to Teapots - Paul Flavin
A "Tiny Library of Faceted Surfaces." Cube, Venus de Milo Statue, Utah Teapot, M-1 Tank, Ludwig Beethoven, magna Girl. For each object the format, number of vertices, number of facets, geometry (shape), bytes, and filename are listed.
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- FAME (Fractal Art Museum Enterprise) - Joseph Trotsky, Director
A display of fractals by hundreds of artists. The site hosts permanent expositions, along with thematic and periodic exhibitions, annual contests, papers on fractal theory, software and tutorials for making fractals, and more.
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- Famous Curves Applet Index - MacTutor Math History Archive
From Astroid, Cardiod, Catenary, and Cayley's Sextic to the Trisectrix of Maclaurin, Tschirnhaus' Cubic, Watt's Curve, the Witch of Agnesi - and many more - click on the name of a curve to experiment with some of its associated curves.
(Your browser
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- Famous Curves Index - MacTutor Math History Archive
Links to pages illustrating more than 60 mathematical curves, with information on their history and associated curves. Anyone with the Mathematical MacTutor system or a Java-enabled browser can investigate these curves and their associated curves interactively.
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- Fantastic Fractals - ThinkQuest 1997
All about fractals: including: fully interactive fractal tutorials, a gallery, landscapes, music, a reference desk and types of fractals, downloads, a fractal workshop (build your own fractals), a fractal challenge (test yourself - how much have you learned
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- Fast Marching Methods and Level Set Methods - J. A. Sethian, University of California-Berkeley
Fast Marching Methods and Level Set Methods are numerical techniques that can follow the evolution of interfaces. These interfaces can develop sharp corners, break apart, and merge together. The techniques have a wide range of applications, including
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- A Faulty Dissection - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A deceptive dissection implemented in Java. Two different rearrangements of the same four plane pieces result in rectangles of different area. A very entertaining introduction into the subject of Fibonacci numbers.
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- Fibonacci - James Grant
Pages about Fibonacci the mathematician, the sequence that bears his name and its relationship to the Golden Ratio, as well as how the Fibonacci numbers occur in nature.
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- The Fibonacci Series - Matt Anderson, Jeffrey Frazier, and Kris Popendorf; ThinkQuest 1999
The Fibonacci Series is deceptively simple, but its ramifications and applications are many. Learn more about the Fibonacci Series itself: an introduction, the rabbit problem, Binet's formula, the successor formula (given only one term in the Fibonacci
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- Fifth-Grade Empathy ... For Plants - William E. Ray; Kodak
Children were introduced to this project by taking them outside Pinoak Elementary School, Oil City, PA, in March and having each pair of them select a living
plant specimen. Buds were noticed as being a part of each plant and were the plant parts which
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- Filmer V2.0 - A program for creating fractal animation - Julian Haight
Filmer is a front-end program for Fractint (for DOS/Windows) that generates fractal animations. Fractint is a program for calculating still fractal images (you need Fractint installed to use Filmer). Filmer uses Fractint parameter (.par) files to specify
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- Flags - Jim Croft
Links to information about and images of flags of the world: National Flags, International Maritime Signal Flags, Motor Racing Flags, the Semaphore Flag Signaling System, and others, good for exploring symmetry in flag design.
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- Flip Flop Fly Ball - Craig Robinson
"A love of baseball plus a love of visual representations equals Flip Flop Fly Ball." Robinson's infographics include Diamonds in Manhattan, a map of every baseball or softball diamond on the island of Manhattan; Baserunning, which puts into perspective
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- FlowingData - Nathan Yau
FlowingData explores how designers, statisticians, and computer scientists use data to understand ourselves better -- mainly through data visualization. This blog, by a PhD candidate in statistics with a background in computer science and design, dates
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- Folding and Unfolding - Eric Demaine
A series of pages detailing research and findings in origami, including: fold and cut, folding silhouettes and wrapping polyhedra, map folding, unfolding polyhedra, folding polygons into polytopes, linkages, protein folding, hinged dissections, hyperbolic
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- Fractal Alhambra - Philip Northover
Galleries of fractal art, in an array of sizes and colors. Fractal prints for sale, and MP3s of fractal music.
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- FractalArt.com - Fractal Art Designs, LLC
Purchase original color digital prints of ultra-high resolution fractals by Andrew Ryan or Bryan Berman from this fractal art gallery.
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- Fractal Art, etc. - Linda
Fractal fantasies produced using Flarium or KPT Fractal Explorer2.0 and KPT filters, post-processed in Photoshop.
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- Fractal Art: Fractals produced with FRACTINT - Balraj Mehmi
A fractal art gallery containing fractals produced with the shareware program FRACTINT (downloadable from the site), with links to other sites with fractal pictures and to information on fractals and their origin.
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- Fractal Art Gallery - Fractal Image Wallpaper - Victoria B Brago
Extensive collection of fractal images which can be downloaded as desktop
wallpaper, technical explanation of fractal geometry, animated fractal
zooms.
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- A Fractal Art Gallery - Ken Keller
Exploring the boundary between creation and discovery - galleries of fractal images.
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- Fractal Arts - Doug Harrington
View the gallery of fractal images and "Fractal of the Week"; investigate the tutorials for Tiera-Zon, a freeware fractal graphics program by Stephen Ferguson; download fractal screensavers (shareware); consider ordering prints of fractal images.
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- Fractal Clouds - Robert F. Cahalan
Information on the fantastic variety of cloud forms and structures, and their implications for climate. Albedo (abstract of a short technical paper for downloading); authors of papers on fractal clouds; cloud types and associated geometry, processes,
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- Fractal Dimension Calculator (FDC) User Manual - Paul Bourke
FDC takes a black and white image in the form of a Macintosh PICT file or clipboard contents and uses the box-counting algorithm to estimate the fractal dimension of the object represented in the image. The "object" is assumed to be the black part of
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- frActAles - Philippe de Courcy
450 fractal images, sorted into categories. Site is available in English and French.
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- Fractal Explorer Kit - Tom Harrington
Java applets show fractals based on the Mandelbrot Set, the Julia Set, and Newton's method. Pictures grow more detailed in a series of iterations; zoom in to see a close-up of the center. A brief FAQ explains the methods behind these different types
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- The Fractal Gallery - David Chattin-McNichols
Galleries of fractal images, updated weekly. Also at http://www.crosswinds.net/~davidcm/.
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- Fractal Gallery - Karen McCormack
Images, 1998-2000. Quaternions, Symmetric Icons, Flame Fractals, Secant City, Ikenaga's Garden, Fractals with Russell, Fractal Eggs, Filatura.
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- Fractal Gallery - Phil Bodor
A gallery of fractal thumbnail sketches that can be expanded for full viewing. Contents: About Fractals; fractals created by Bodor; fractals downloaded from Usenet; and an overview of WAN (wide area networks) Technologies.
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- Fractal Gallery - Rico Wack
An online fractal exhibition with images computed by a variety of software packages, raw and post-processed, 2D and 3D, updated weekly. In English and French.
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- Fractal Image Of The Week - Eravau
Fractal images, software to download for making them (Mac, DOS/Windows, OS/2, Unix), and links to relevant sites.
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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 hi-color 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 Of The Day (FOTD)
An archive of James Albert Muth's Fractal of the Day images, with formulas and related discussion. (Images originally posted on the Fractal Art Discussion List.)
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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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