 Introduction to Chaos Theory  Andrew Ho
Designed for those with little background in mathematics. Topics covered include bifurcation diagrams; the Lorenz, Rossler, and Henon strange attractors; KolmogorovArnoldMoser orbits; and fractal geometry, including the Sierpinski Triangle, Von Koch
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 An Introduction to Fractals  Paul Bourke
"What is a fractal? B. Mandelbrot: A rough or fragmented geometric shape that can be subdivided in parts, each of which is (at least approximately) a reducedsize copy of the whole. Mathematical: A set of points whose fractal dimension exceeds its topological
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 Introduction to the Mandelbrot Set  David Dewey
Images of the Mandelbrot set, with information on complex numbers and on graphing Mandelbrot sets.
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 Intuitive Calculus
A site that teaches calculus "by forming an intuition" of concepts such as limits, derivatives, and integrals.
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 ISAWI Laboratory  Hasan Isawi
Geometria_descrittiva; La Cupola della Roccia  graphic representation of architectural plans; static and/or dynamic montage of any real or virtual image. Graphic representations for thesis and university examinations. Gallery of images.
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 Java 3d Viewer  Faceted and Wireframe Objects  Paul Flavin
A Java applet that lets you view and rotate the Platonic Solids and other faceted objects including approximations of the Moebius strip, a torus, a soccerball, a teapot and other objects. Accompanying pages describe related mathematical concepts used
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 Java Exploration Tool for Dynamical Systems  R. Wegenkittl and E. Gröller
A Java Applet for the visualization and exploration of twodimensional analytical defined dynamical systems. The system is defined by a set of two differential equations, which are evaluated within the chosen region to form a twodimensional vector field.
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 Jim's GSP Library  Jim Wilson; Dept. of Mathematics Education, Univ. of Georgia
Geometer's Sketchpad (GSP) sketches to download, from a course on Algorithms and Computers in Mathematics Education: Centroid of a triangle; Orthocenter of a triangle; Circumcenter of a triangle; Circumcircle of a triangle; Incenter of a triangle, Incircle
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 John Baez's Stuff  John Baez
The site features the author's column "This Week's Finds in Mathematical Physics," with archives dating back to 1993. "Fun stuff" includes old posts and email on Bayesianism in probability theory and quantum mechanics; some rambling lectures on knot polynomials,
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 John Pais' Teaching Portfolio
Helping students do math visually  from the St. Louis College of Pharmacy (STLCOP). An approach that seeks to refocus and reprioritize the learning goals of traditional precalculus and calculus courses, in order to make the material appealing and useful
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 John Taylor's Home Page  John Taylor; University of Brighton
Taylor's other activities include Maple generated animations: vary gradients or intercepts in equations for a straight line, change coefficients of quadratic curves or cubic curves, draw tangents to conics, model a nondifferentiable surface, and construct
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 K3DSurf  Abderrahman Taha
Download a program for visualizing and manipulating mathematical models in three, four, five and six dimensions. K3DSurf features interactive visualization with mouse events, real time animation and morph, and mesh file generation.
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 Ken Shirriff
A researcher at Sun Microsystems. Annotated bibliographies on fractals and cryptography, and related papers, which may be downloaded in PostScript format. Graphics of Voronoi fractals (dividing the plane into regions closest to a given point) and fractals
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 Keplerian Fractals  Hop David
Just as a Star of David can be transformed into a Koch Snowflake, Kepler's solids can be made into fractals by placing inside the pyramids smaller versions of the original solid. See also Escher's rendering of a dodecahedron and his Double Planet.
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 Kevin Cowtan's Book of Fourier Transforms  Kevin Cowtan
A book of pictorial 2d Fourier Transforms, particularly relevant to the field of
Xray crystallography, but also of interest to anyone involved in signal processing or frequency domain calculations.
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 The King of Infinite Space: Donald Coxeter, The Man Who Saved Geometry  Siobhan Roberts
As a companion to The King of Infinite Space, a biography of Donald Coxeter, this website provides photographs, archives, papers, video footage, links and other resources, allowing readers to further explore Donald Coxeter’s infinite passion for geometry.
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 Knot  Flaming Pear Software
The Knot program lets you create large 3D color animations and stills of abstract knots. You design the knot's form, color, motion, backgrounds and lighting, or design and render entire animations automatically. Makes standard QuickTime and TIFF files.
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 The KnotPlot Site  Robert Scharein
A collection of knots and links, viewed from a partly mathematical perspective. Images on this site were created with KnotPlot, a program designed to visualize and manipulate mathematical knots in three and four dimensions. A picture gallery, description
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 Knots on the Web  Peter Suber, Earlham College
A comprehensive list of knot resources on the Web c2004, annotated and organized into three categories: knot tying, knot theory, and knot art. Also Knot books and a Knots Gallery displaying images from the newsgroup rec.crafts.knots.
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 Knot Theory  ThinkQuest 1997
A short course on knot theory, including tutorials on the basics, knot invariants, knot properties, and knot arithmetic; biographical information on historical and contemporary figures working with knot theory; applications of knot theory; a discussion
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 Knowhere  Rick Engel; Polymorf, Inc.
Lesson on how the structure of space determines the
shape of things in geometry and chemistry. The
principles of solid geometry are related to their real life
embodiment in the crystal structures of elements and
minerals using Polymorf, a new math/science
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 A K Peters, Ltd.
A scientific technical publisher with a concentration in Mathematics, Computer Science, Computer Graphics, and Robotics. The program includes textbooks, professional reference works, research monographs, and journals, as well as electronic kits to build
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 Kreisimpressionennicht nur (!) mathematisch  Monika Schwarze
A lesson plan in which students discover the equation of a circle, to describe an everyday object containing a circle or circles. The project also involves work with TI89 calculators and Derive, as well as Power Point presentations. Work from the author's
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 La Petite Galerie du CRM  Centre de Recherches Mathématiques
A gallery of the research activities from the CRM. Contour plotting in Java  available in both French and English; also A Collision of Two KdV Solitons, L'avion Aurora, Montréal vue de l'espace, Fusion de données, Signatures radars et infrarouges
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 Learning Epipolar Geometry  Sylvain Bougnoux
A discussion of camera angles, using demonstration applets that allow the user to manipulate lines of sight and planes of vision. With two views, things become interesting: if we know m and the projection of a point M onto a camera, its corresponding
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 Le site des maths à petites doses  SaintMartin Arnaud
Supplementary information and explanations of various mathematical topics, often illustrated with figures and JavaScript, as well as some sample problems and multiplechoice quizzes. In French.
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 Levitated  Jared Tarbell
"Visual poetry and science fun narrated in an object oriented graphic environment." See, in particular, the generators in sketches and applications; and "open source," a library of fractals, cellular automata, spacefilling algorithms, "autofixing words,"
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 Limits  Magness, Klotz, Swarthmore College
An experiment in using the World Wide Web to illustrate the intuitive notion of limits in functions of two variables. Written by Prof. Gene Klotz and Swarthmore College student Ethan Magness.
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 The Living Mathematics Project  Mathematics Department, Univ. of British Columbia
A project that is working to apply recent advances in computer programming languages and the technology of the World Wide Web to construct a new medium for creative visualization and the communication of mathematics. Applets on this site include: Copycat
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 Logical Art and the Art of Logic  Guenter AlbrechtBuehler
About pentominoes, the patterns they create, and what pentominoes have to do with Escher, Penrose, Logic, Impossible Objects, Mathematics, and Art. Download a DOS program, 'newpent.exe', that assembles (6x10) pentomino solutions manually or automatically
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 Logical Art and the Art of Logic  Guenter AlbrechtBuehler
An illustrated essay about pentominoes, flat shapes formed from five (Gr.pente = five) unit squares. Also a DOS program for pentomino solutions (6x10) and galleries of pentomino creations.
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 Macsyma  Macsyma, Inc.
Publishers of advanced symbolic/numerical/graphical mathematical software and PDEase finite element analysis software. Macsyma is a combination of mathematics program, graphics software and text processor, with advanced graphics and animation, fast calculations,
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 Magic Carpet Graphics
Computergenerated artwork by a Londonbased team of artists, available for sale as highquality photographic prints at A6 A4 sizes.
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 Magische Quadrate  Paul Heimbach
Techniques for creating 4x4 and larger magic squares using masks that define areas where a specific number will or will not be added (Jupiter squares and Merkur squares, with many examples of each); art based on magic squares and other mathematical models;
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 Making Order Out of Chaos  Andrew Davenport, Shane Kraynak, and Brian Timko  ThinkQuest 97
An introduction to chaos and fractals: history, theory, and a gallery of fractal images. Includes a review of complex numbers and a Java applet to investigate sensitive dependence on initial conditions.
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 Makin' Magic Programs, Fractals, Freeware, and Graphics  Dave Makin
Fractal freeware and galleries of examples. The fractal program MMFrac2.4 includes solid 3D hypercomplex and quaternion fractals and realtime 3D landscapes. An older version of the page can be found at http://skyscraper.fortunecity.com/terabyte/966/.
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 Malba Tahan  André de Faria Pereira Neto
Site oficial da família e dos admiradores de Malba Tahan, pseudônimo do professor de matemática Julio César de Mello e Souza. Bibliografia, fotos, documentos, e mais sobre o autor do O Homem que calculava, Matemática
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 Mandelbrot and Julia Set Explorer  David Joyce; Dept. of Mathematics & Computer Science, Clark University
Modify Mandelbrot and Julia set images by adjusting the (x,y) sets of the pictures; then explore what you have created. Background information and detailed instructions for how to modify the image is provided, in addition to links to other images, reference
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 Mandelbrot Exhibition  J. P. Bowen; Virtual Museum of Computing
Links to to material on Mandelbrot sets and related fractals. Historical background; introduction to the Julia and Mandelbrot sets; interactive explorers and generators of images; movies and galleries; and an Image Archive.
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 Mandelbrot Explorer  Panagiotis Christias; National Technical University of Athens
Explore the Mandelbrot fractal through X Mosaic. Selected images created by users of this page are available at the Mandelbrot Explorer Gallery Page. Set the Zoom Factor as desired and then click at the point you want to zoom in (or out) in the image
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 The Mandelbrot Set and Julia Sets  Dept. of Mathematical Sciences, SUNY Binghamton, NY
A collection of pages written about the Mandelbrot set and its associated Julia set: What is the Mandelbrot set? (Iterated functions, Julia sets, The shape of the Mandelbrot and Julia sets); The significance of the Mandelbrot set; A catalog of images
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 Mandelbrot Set and Julia Sets  Matthew Caryl
Both the Mandelbrot Set and Julia Sets are pictorial representations of a simple recurrence formula  z(n) = z(n  1) ^ 2  c  where values of z and c are complex numbers of the form a + ib and i is the square root of 1. Here both sets can be seen.
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 Mandelbrot Set Programs And Links  James Dawe
Several Mandelbrot generator programs for Windowsbased machines and for DOS, freeware or shareware. Reviews of fractal related software, some available for downloading; Mandelbrot links.
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 Maria's Fractal Explorer Gallery  Maria Grist
A gallery of fractal images made using the program Fractal Explorer program.
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 Mark McClure
Mark McClure is an assistant professor at the University of North Carolina at Asheville researching real analysis, specifically fractal measure and dimension. Papers on these topics may be downloaded in gzipped PostScript format; a paper involving Julia
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 Mark Newbold's Page  Mark Newbold
Home page of a physics and math enthusiast. Contains: Java stuff (HyperSlice  Hyperspace Polytope Slicer, animated Necker cube, counterrotating spirals, stereoscopic animated hyperspace objects); stereoscopic 3D stuff (3D HyperCube Java applet, anaglyphs);
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 Mateo y Cientina  Lawrence Hall of Science (LHS)
The cartoon kids, Mateo y Cientina, present familyfriendly, handson activities that help: adults and children alike to overcome their fear of math and science; encourage families to spend time on subjects important to academic achievement; introduce
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 MathArt Exhibit  Daryl Hepting, University of Regina, Saskatchewan, Canada
Eighteen examples of art created through mathematical concepts, some accompanied by detailed information about their generation.
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 mathartfun.com  Robert Fathauer
Learn and purchase products about tessellations, polyhedra, new perspectives (anamorphic art), fractals, M.C. Escher, tangrams and dissections, kaleidoscopes and symmetry, and paper folding. The gallery of mathematical art contains twisted ribbons and
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 Math Art Gallery  Dept. of Mathematics, University of Nijmegen, the Netherlands
Links to Singularity knots; Singularity knot animations; and Pictures generated by vort. Also a few 3D fractals; g=1, g=2, and g=3 surfaces plus source files for creating the pictures; source files; Interactive art in Minnesota, and All kinds of beautiful
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