 10 Lessons in Fractals, Complex Patterns, and Chaos  Jon Lee; Math Forum Teacher Exchange
From the WrightConnection 8week summer program, in which Dayton, Ohio, middle and high school math and science teachers participated in the realworld applications of math and science at WrightPatterson 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, realworld activities and applications, and more, from the proceedings of the TwentySecond Conference of the American Mathematical
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 3DMathematikprogramm  Ingenieurbüro Riescher
German shareware program for Windows: MATHPROF ist ein einfach bedienbares Mathematikprogramm mit graphischen 2D und 3DDarstellungen, für Schüler, Studenten und Lehrer. Auch lassen sich einfache Konstruktionen im 2D und 3DBereich erstellen und analysieren.
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 3D Strange Attractors and Similar Objects  Tim Stilson
A pictorial archive of "fsh" and polynomial strange attractors, chaosgame objects, and quaternion Julia sets, with links to books about chaos and strange attractors.
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 3DXplorMath  Richard Palais
3DXplorMath creates visualizations of mathematical objects and processes. This tool has builtin 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 twohour 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 (AMaze; 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 CDROM 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 selfsimilar patterns and selfaffine 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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 BIT101 Lab  Keith Peters
Launch BIT101 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 selfrunning 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 OnLine 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 fullscreen 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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