- 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.
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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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- 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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- 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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- 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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- 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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- 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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- 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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- 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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- 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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- 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 Dynamical Systems and Nonlinear Studies - School of Mathematics, Georgia Tech
Established in September 1988 to strengthen existing research activities in the School of Mathematics with special focus on dynamical systems, differential equations, nonlinear analysis, and applications. Specific topics emphasized are stability, nonlinear
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- Chaos and Fractals - Joakim Linde; Chalmers Tekniska Högskola
A small fractal image gallery gallered with Fractus software, Fractint parameter files, a fractal icon archive, and links to other fractal sites.
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- Chaos and Fractals - ThinkQuest 1996
Chaos is an advanced field of mathematics that involves the study of dynamical systems or systems in motion. Chaos Theory consists of the mathematical proofs and theories that attempt to describe processes in motion. Think of any
mathematical system
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- Chaos Downloads (Chaos: The Software) - Gordon, Rucker, Walker; Autodesk, Inc.
A shareware release of James Gleick's CHAOS: the Software. Both the complete executable and the source code are provided. The program runs under Windows as a full-screen DOS session. Six modules include the Mandelbrot set, Pendulum and Magnets, Strange
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- Chaos, Dynamic Systems, and Fractal Geometry - Tyeler Quentmeyer, ThinkQuest 1996
An educational Web page whose purpose is to make learning many of the complicated theories and ideas behind the theory of chaos, dynamic systems, and fractal geometry easier and more fun. It approaches problems from many different angles and gives users
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- The Chaos Experience - ThinkQuest 96
An explanation of the basic principles behind chaos theory, and a demonstration of its use in everyday life.
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- Chaos, Fractals, and Arcadia - Robert L. Devaney; Dept. of Mathematics, Boston University
An animated description of some of the mathematical ideas lurking in the background of Tom Stoppard's play Arcadia. Introduction; Thomasina's Geometry of Irregular Forms; The Chaos Game; The Sierpinski Hexagon; Thomasina's Fern; Valentine's Grouse; Summary
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- Chaos, Fractals and Attractors in Economics - Ben Tamari
Dynamical system in economics, fractals and chaos in nature.
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- The Chaos Game - Robert L. Devaney; Dept. of Mathematics, Boston University
One of the most interesting fractals arises from what Michael Barnsley has dubbed "The Chaos Game," which is played as follows. First pick three points at the vertices of a triangle. Color one of the vertices red, the second blue, and the third green.
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- Chaos Group - University of Maryland
Chaos is a multidisciplinary science. The members of the group are affiliated with diverse departments and institutions: Electrical Engineering; Mathematics; Physics; Physical Sciences and Technology; Institute for Plasma Research (IPR); Institute for
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- The Chaos Hypertextbook: Mathematics in the Age of the Computer - Glenn Elert
Formerly titled "Chaos, Fractals, Dimension": an illustrated paper submitted for the author's M.S. in secondary science education from Columbia. Contains chapters on: Mathematical Experiments (Iteration and Orbits, Orbit and Bifurcation Diagrams, Universality);
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- Chaos in the Classroom - Robert L. Devaney; Dept. of Mathematics, Boston University
One of the most interesting applications of technology in the mathematics classroom is the fact that it allows teachers to bring many new and exciting topics into the curriculum. In particular, technology lets teachers bring some topics of contemporary
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