- 3-D and SIRDS images - Jonathan Bowen
An archive of single image random dot stereo (SIRDS) and other 3-D images, together with related information and software. It is available via anonymous FTP. Plain text information on frequently asked questions concerning SIRDS, an index and a README
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- 3-D Drawing and Geometry - Cathi Sanders
A Math Forum Summer 1998 Institute project that uses examples of paintings, architecture, etc. to analyze different types of 3-D drawings, and teaches students how to create them. Careers in 3-D drawing that use these techniques, from architecture to
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- 3D Modeling, Fabrication and Illustration - Tom Longtin
Mathematically based models and examples of creating accurate patterns for non-convex polyhedra when material thickness is a concern. Links to illustrations of: Stained Glass Prototypes; VRML; Tensegrity Structures; Oc-Tet Truss Space Frames; Mechanical
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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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- The 4th Spatial Dimension
An introduction to the visualization of 4 dimensional space. Numerous resources.
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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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- The Addventures of Plusman - Michael Cherry
Math puns, wordplay and illustrated concepts, all in a comic book format. The first of the Plusman series introduces Adam Tegetter, Aidee DeGrangle, Hex A. Hedron, the evil Dr. Nein and the origin of Plusman and the Permutation; the second tells of the
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- Aesthetics of the Prime Sequence - Turpel Armand
A brief introduction to prime numbers, with a primality testing applet, a page on primes and music, primes and nucleotide bases, primes graphics, idiot savants and primes, primes-related software, related links, favorite books, and a special page of Lyapunov
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- Affiches dans le métro - Centre de recherches mathématiques
Campagne d'affiches dans le métro de Montréal (celebration de l'Année mondiale des mathématiques). Voir aussi la série d'affiches de Stéphane Durand, qui a remporté le premier prix du concours international
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- Algebra Review in Ten Lessons - D. P. Story; Mathematics & Computer Science, University of Akron
A tutorial written in TeX and converted to Adobe Portable Document Format (PDF). Features include verbose discussion of topics, typeset quality mathematics, user interactivity in the form of multiple choice quizzes, in-line examples and exercises with
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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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- Amazeing Art - Christopher Berg
Free printable mazes of buildings, ships, ancient monuments, and more. The site features historical essays describing some of the mazes of ancient times, together with maze terminology and tips on drawing mazes. There are also maze products for purchase,
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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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- Amsterdam Tessellation Projects - M. Hos-McGrane
Student tessellations created using the software program Tesselmania, inspired by a class trip to the Escher Exhibition in Rotterdam, The Netherlands.
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- Analog Gadgets - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
Java simulations of analog gadgets. Includes an analog device simulation for drawing ellipses, a Peaucellier Linkage simulation, an angle trisection demonstration, a demonstration/essay on cycloids, and applets on geoboards (with a proof of Pick's Theorem)
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- Animals & Art - M. Crook
A gallery of fractal images created using Ultra Fractal.
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- Applets for Linear Algebra - Dr. Rukmini Sriranganathan, Virginia Tech
Three applets: Draw and test a Vector (draw a vector; change the x or y coordinate of the head or tail and see the effects); Vector Addition and Subtraction (draw two vectors and add and subtract them); and Dot Product and Cross Product.
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- Arabesco
- Hasan Isawi
Freehand designs elaborated with Autocad and Photoshop to create arabesque images. Site is in Italian.
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- Archimedes - Chris Rorres, Drexel University
A collection of information on Archimedes' life and achievements, complete with historical quotes, illustrations, and animations. The site covers Archimedes' inventions and accomplishments: Archimedes' Claw, Burning Mirrors, the Golden Crown, the Archimedes
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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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- The Art of Renaissance Science: Galileo and Perspective - Joseph W. Dauben, McMurry University
A hypermedia essay devoted to the genius of Galileo and the relation between his role in the Scientific Revolution and the equally remarkable achievements of Renaissance artists reflected, in part, in the discovery and application of mathematical perpective.
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- Arts & Crafts Class: Let's Fold Origami - Japan Window Project, Stanford University and NTT
Directions for folding an origami crane and a yakko (in the Edo Period, a Yakko was known as a male servant or a valet to a high-class samurai. The figure shown is a representation from the waist up. The diamond shape is the head and it is possible to
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- ASA Student Poster Competition - American Statistical Association
A competition that encourages students and teachers K-12 in the United States and Canada to display data in creative ways. The purpose of the poster is to tell a statistical story visually, illustrating conclusions that can be drawn from data. With links
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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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- Awesome Math Method - Evelyn Fannin, Actual Learning LLC
Improve students' math skills in in the basic operations by using write-on, wipe-off workbooks and/or CDs. Designed to work in about two weeks.
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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 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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- Beyond the Block: Tessellating Patterns - Linda Hampton Schiffer
An article about using tessellations in quilt design.
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- Bibliography Index - MacTutor Math History Archives
About 700 books/articles on the History of Mathematics, some general works and some more specialised, intended to supplement the list of references attached to each biography or History topic in the MacTutor Math History archives. The items in the bibliography
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- BigPictures Index - MacTutor Math History Archives
An alphabetical list of pictures of mathematicians accompanying the archives.
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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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- Blogic - J. David Velleman, Dept. of Philosophy, Univ. of Michigan
An interactive textbook in logic. Topics and interactive software include: Boolean searching; logic circuits; truth-tables; Turing machines; foundations of probability; modal logic with possible-worlds diagrams; quantification. Includes interactive
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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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- Border Pattern Gallery - John Wolfe; Geometric Structures Class, Oklahoma State University
A gallery developed as a class project: creating and classifying border patterns (also called frieze or band patterns) provides an engaging introduction to symmetry for students of all ages. Examples and explanations for seven different border types.
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- Breaking the Light Barrier - Michael H. Walker
Galleries of fractal images: Flarium 1, Inkblot 1, etc.
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- The Bridges Organization: art and mathematics - George W. Hart, Webmaster
The Bridges Organization oversees an annual conference on connections between art and mathematics. The site's virtual museum shows sculpture, paintings, drawings, digital prints, textiles, origami and other paper-foldings created by mathematicians and
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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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- A Brilliant Madness: The story of Nobel Prize winning mathematician John Nash - PBS
"The story of a mathematical genius whose career was cut short by a descent into madness." Read a synopsis of the documentary, the film's transcript, primary sources such as John Nash's dissertation, his Nobel autobiography, and more. Based on the documentary,
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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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- The Butterfly Theorem - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
Ten proofs (and a few variations) of the beautiful Butterfly theorem, with illustrations and remarks. Links to some generalizations: A Better Butterfly theorem, 2N-Winged Butterfly theorem, several pages on the Two Butterflies theorem. Several of these
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- The Butterfly Website Picture Galleries - Matrix Graphics Corporation
Symmetry in nature: butterfly and moth images from a variety of sources. In most cases, a small picture is included for speed of transmission, and a larger picture is available by clicking on the small picture.
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- Calculus Animations and Lecture Notes - Kelly Liakos
Computer animations, labs, and graphics developed by a college teacher for use in classes from pre-calculus and trigonometry through the calculus sequence and elementary differential equations. Yearly subscription fee applies. Samples available on the
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- Calculus graphics - Douglas N. Arnold; Institute for Mathematics and its Applications
Excerpts from a collection of graphical demonstrations developed for a class in first year calculus in the McAllister Technology Classroom. Derivatives and differentials; Computing the volume of water in a tipped glass; Archimedes' calculation of pi;
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