- 10 Lessons in Fractals, Complex Patterns, and Chaos - Jon Lee; Math Forum Teacher Exchange
From the Wright-Connection 8-week summer program, in which Dayton, Ohio, middle and high school math and science teachers participated in the real-world applications of math and science at Wright-Patterson Air Force Base. The lessons, which emphasize
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- 22nd Annual AMATYC Conference (Mathematics Archives) - John St. Clair, Editor
Presentations and contributed papers on mathematics education, improving quantitative literacy, multimedia in the classroom, real-world activities and applications, and more, from the proceedings of the Twenty-Second Conference of the American Mathematical
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- 3D-Mathematikprogramm - Ingenieurbüro Riescher
German shareware program for Windows: MATHPROF ist ein einfach bedienbares Mathematikprogramm mit graphischen 2D- und 3D-Darstellungen, für Schüler, Studenten und Lehrer. Auch lassen sich einfache Konstruktionen im 2D- und 3D-Bereich erstellen und analysieren.
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- 3D Strange Attractors and Similar Objects - Tim Stilson
A pictorial archive of "fsh" and polynomial strange attractors, chaos-game objects, and quaternion Julia sets, with links to books about chaos and strange attractors.
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- 3D-XplorMath - Richard Palais
3D-XplorMath creates visualizations of mathematical objects and processes. This tool has built-in algorithms for displaying mathematical objects such as plane curves, space curves, surfaces, conformal maps, polyhedra, ordinary and partial differential
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- 42eXplore - Annette Lamb and Larry Johnson
Web projects that offer definitions, activities, four good starting points, and many more links and resources for thematic topics such as charts and graphs; codes, ciphers and secret messages; fractals, tessellations, geometric shapes, and figures; number
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- The Absentminded Artist's Fractal Art Parade - Douglas R. Cootey
Fractal images treated as a photographer would treat a landscape, incorporating design and color composition into each piece. Images were made with Fractal eXtreme, Ultra Fractal, FractalPro, Lyapunovia, and Mand2000.
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- Advanced Topics in Mathematics - Anthony Beckwith
Page for a high school course exploring fractals, the Global Positioning System, number theory, topology, chaos theory, and the history of mathematics. Syllabus and brief description of each topic.
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- Adventures in the MathZone - Ivars Peterson (MathTrek)
Ivars Peterson and his wife, Nancy Henderson, have written "a book that introduces children to a variety of ideas also of interest to today's mathematicians: knots, map coloring, Möbius strips and topology, prime numbers, chaos, fractals, and more. Our
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- Algorithmic Art - Fractal Art Gallery - Manfred W. Rupp
Unusual fractals with nonstandard algorithms - geometric patterns made using FRACTINT that rely on mathematical models. English and German versions; prints may be purchased from the site. Also at http://www.blue-v.com/ and http://www.fractal-digitalism.com/.
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- Algorithmic Image Gallery - Giuseppe Zito
Each picture is the door of a room in the gallery, composed by taking a pixel for each picture in the room. All the pictures in a room are produced by the same algorithm, changing only one or more parameters. Click inside the door and you will get the
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- Alien Lab - Fractals - Stefaan Vermuyten (Louvain, Belgium)
A freeware program with a gallery of images onsite, for creating unusual 3D fractals (requires VB6 runtime:msvbvm60.dll to run).
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- alt.math.undergrad - Math Forum
An unmoderated discussion forum for issues and problems pertaining to college undergraduate mathematics. Read and search archived messages; and register to post to the discussions.
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- The Amazing Mandelbrot Set - Bill Boll
This site hosts a gallery of Mandelbrot Set images and a primer on how the Mandelbrot Set is generated. Posters and a DVD of animations are available.
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- Amazing Seattle Fractals - Tutorials - Doug Harrington
Fractal art galleries, fractal tutorials, slide shows, software downloads, guest galleries and more. Four different online fractal art tutorials illustrate step by step how to get started creating this art form based on mathematics.
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- Andrew's Fractal Page
Click on areas of the Mandelbrot set to see images of the associated Julia sets. Information about creating the fractals is included.
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- Animals & Art - M. Crook
A gallery of fractal images created using Ultra Fractal.
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- Annotated Bibliography of Software Resources (The Chaos Hypertextbook) - Glenn Elert
An extensive annotated list of software related to Elert's Chaos Hypertextbook. Major categories include: Chaos (Dynamical Systems); Iterated Function Systems (IFS); Lindenmayer Systems; Mandelbrot & Julia Sets; Music; Newton's Method; Terrain &
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- artchives / artists / MATH - SunSITE
The SunSITE Mathematical Art Gallery from the SITO Artchives - images by math artists (under copyright). Fractals and many other kinds of images; with biographies of the artists.
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- Artistic Exploration of Hilbert Space Filling Curve - Don Relyea
Artist Don Relyea uses a Hilbert space filling curve to create generative
modern art. Page includes interactive demonstrations with source code
examples and and background information on Hilbert curves with links to
further documentation.
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- Art Matrix Fractals - H. Smith, J. Staller
Some basic information about fractals; a fractal gallery; and a two-hour video for sale on the subject of fractals and chaotic dynamical systems. What is a fractal?; Product line; Wholesale policy; Introduction to Fractals; etc.
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- The Art of Fractals - Joseph Trotsky; Artis Fractal Gallery
An online fractal exhibition with images grouped into the themes Paintings, Legends and Fairy Tales, Places, Flowers, Foliage, Trees and Forest, Fauna, Landscapes, Classic, Geometric, Marine, Mystic, and Zodiac.
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- Arts, Math and Science - Texas Commission on the Arts, Texas Arts and Cultural Network
An annotated list of links to arts-related math and science sites. Also other arts links related especially to Texas.
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- Atlantis Puzzles & Games - Karl Scherer
Puzzles and games for sale; puzzle books (A Puzzling Journey To The Reptiles And Related Animals; NUTTS And Other Crackers; New Mosaics - A Book On Tilings); Fractal computer art; brain teasers (A-Maze; Globetrotter). Also ALIVE, a WINDOWS version of
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- Aunty Pear's Fractal Gallery
Fractals and fractal graphics, with galleries and fractal border background sets and buttons
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- Automatic Fractal Map Generator - Paolo Guagliumi
A freeware program that generates .map files used by Winfract and Fractint, which make use of .map files that contain 256 lines of ASCII characters that describe RGB (red, green, blue) color values. Site is in English and Italian.
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- Barry G. Adams
Barry Adams is a professor of mathematics and computer science at Laurentian University in Ontario, Canada. His website includes many Java applets, including elementary numerical methods (i.e. Newton's Method), various examples of chaotic attractors,
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- Basic Concepts in Nonlinear Dynamics and Chaos - Keith Clayton
An introduction to chaos, dynamic systems, and fractals, with a glossary of important terms.
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- Basic Fractals - Joe
Five galleries of fractals made using the FractalXtreme fractal generator.
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- The Beauty of Chaos - Uwe Krüger
A database of over 500 pictures of the Mandelbrot set. Also links to a CD-ROM and other fractal image sites.
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- Benoit B. Mandelbrot - Computer Science Dept., Yale University
From the Yale University Computer Science Department's listing of Research and Academic Faculty. Prof. Mandelbrot joined the Yale faculty in 1987.
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- Benoit Fractal Analysis System - TriSoft International, Inc.
Windows fractal analysis software that enables you to measure the fractal dimension and/or Hurst exponent of data sets using a choice of method(s) for analysis of self-similar patterns and self-affine traces. A white noise filter (Fourier or Wavelet)
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- Bernd's Fractalpage
PC fractal programs with descriptions and locations from which to download them: FracTrue; LyapTrue; ChaosTrue; Atractor.
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- Biomedical Time Series Analysis - Christina Kendziorski
Biomedical time series are sequences of observations recorded over time (a simple example would be hourly measurements of the blood pressure of a patient). These series of measurements exhibit characteristics of the systems and mechanisms that generate
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- BIT-101 Lab - Keith Peters
Launch BIT-101 Lab to browse Peters' repository of experimental Flash files, many interactive, dating back to 2001. He also provides tutorials on using Flash to simulate gravity, easing, elasticity, perspective, 3D rotation, and "the various little creatures
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- BitArt - Robert J. Krawczyk
Illustrated introductions to spirolaterals and strange attractors. See a self-running demonstration of a variety of spirolaterals, or generate one of your own and see all the reversals. The link of current exhibits lists installations showing strange
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- Black Saturn Mandelbrot Set Explorer - Kokoska
Very high, high, and low resolution Java applets for zooming in on smaller and smaller areas and discovering the hidden complexities of the Mandelbrot set.
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- Bob's Pages - Bob Allanson
A collection of geometry applets. Generate and modify polyhedra, investigate the Mandelbrot and Julia sets, or experiment with Pappus's arbelos, the porisms of Poncelet and Steiner, and a logarithmic spiral.
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- Books: Professional & Technical: Professional Science: Mathematics - Amazon.com
Browse bestselling math books from the Professional and Technical Bookstore at Amazon.com, in such categories as Applied; Chaos & Systems; Geometry & Topology; Mathematical Analysis; Mathematical Physics; Number Systems; Pure Mathematics; Transformations;
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- Brazil Fractal Builder - David Chardonnet
Shareware program designed to help you create fractal objects, i.e. pictures and animations of natural shapes. You will also be able to modify the examples provided with BRAZIL, make animations, and render your creations in color. BRAZIL can work with
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- Breaking the Light Barrier - Michael H. Walker
Galleries of fractal images: Flarium 1, Inkblot 1, etc.
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- Brendt Wohlberg - University of Cape Town, South Africa
Fractal image compression resources: bibliography, publications.
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- Brighten's Fractals Page - Brighten Godfrey
Investigate "Just Another Fractal Generator," a Java applet to make Iterated Function System (IFS) fractals based on triangles, or view a gallery of images created using the program.
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- Building Fractal Planets - Ken Musgrave, George Washington University
An illustrated paper describing some of the author's ideas, accomplishments, and goals, in his work with fractal landscapes in computer graphics. The central question of his research is what it takes to build a world; his overarching goal is the creation
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- Busy Teachers' WebSite K-12 - Carolyn Cole
A site designed to provide teachers with direct source materials, lesson plans, and classroom materials with a minimum of site-to-site linking, and to provide an enjoyable and rewarding experience for the teacher who is learning to use the Internet. Sections
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- Cabri for the Classroom - Katarzyna Winkowska-Nowak, Florida Atlantic University
Classroom applications of the Cabri dynamic geometry software package: Java applets, figures, and Microsoft Word documentation, organized into science and art applications, tessellations, fractals, examples of famous curves, and advanced topics such as
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- Calculators On-Line Center: Part II - Mathematics - Martindale's Reference Desk
Over 7,420 calculators for: Unit Conversion (Time, Distance, Length, Speed, Weight, etc.); Abacus; Basic Math; Complex Mathematics; Complex Math Education; Complex Math Calculators by Specialty: Algebra and Linear Algebra; Algorithms; Calculus; Central
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- Caos - Chaos - A. Carden, Universidad de Los Andes, Colombia
Una breve introducción al Caos matemático: Historia; Sistemas discretos; Estabilidad; La ruta hacia el caos; Definición de Caos; Fractales; Sistemas Contínuos; Predicción de series caóticas usando modelos difusos;
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- Carlson's Fractal Gallery - Paul Carlson
Fractal images in the following categories: 3D Phoenix Spirals; Atan Method (produced by a variety of methods, mostly transcendental functions); 3D Stalks (produced by a variation on a method by Clifford Pickover); Bubbles (standard Mandelbrot); Pokorny
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- Center for Applied Probability - Georgia Tech
The Center for Applied Probability was formed in the Spring of 1995 and is being run by a group of faculty members in the School of Mathematics and the School of Industrial and Systems Engineering (ISyE) at Georgia Tech. Links to current and past events.
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