 The 101questions Blog  Dan Meyer
A blog "to perplex my students, to put them in a position to wonder a question so intensely they'll commit to the hard work of getting an answer, whether that's through modeling, experimenting, reading, taking notes, or listening to an explanation." Look
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 1ucasvb's lab  Lucas Vieira
Diagrams and animations from a longtime contributor to Wikipedia's math and physics articles. Posts, which date back to February 2013 and feature graphics coded in POVRay and PHP, include "Experimenting with sound: the polygonal trigonometric functions
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 3.1415926...  TWON, INC.
This visualization of the first four million decimal digits of π shows each of the digits 09 as a different colored pixel. Slide the navigator down to see the numeric "snow" representing the digits 500,001 through 4,000,000; search for any number
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 3D and SIRDS images  Jonathan Bowen
An archive of single image random dot stereo (SIRDS) and other 3D 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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 3D Drawing and Geometry  Cathi Sanders
A Math Forum Summer 1998 Institute project that uses examples of paintings, architecture, etc. to analyze different types of 3D drawings, and teaches students how to create them. Careers in 3D 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 nonconvex polyhedra when material thickness is a concern. Links to illustrations of: Stained Glass Prototypes; VRML; Tensegrity Structures; OcTet 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, 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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 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, primesrelated 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). Voyez 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, inline 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.
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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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 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. HosMcGrane
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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 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 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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 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 highclass 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 K12 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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 The Bad Maths Pool  Danny Nicholson
A UK teacher trainer's Flickr photo group "for all those images of crazy special offers and examples of things that just don't add up." Pictures, which date back to August, 2010, primarily consist of retail advertisements gone wrong with bulk discounting,
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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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 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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 Beyond the Block: Tessellating Patterns  Linda Hampton Schiffer
An article about using tessellations in quilt design.
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 Beyond Traditional Math
Blog by a teacher who "was appalled to be handed a math book in which all instruction was whole group," and who subsequently "went on a mission to change and move beyond that traditional model of math in the elementary classroom." Subtitled "Fostering
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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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 The Billion Prices Project  Roberto Rigobon and Alberto Cavallo, Sloan School of Management, Massachusetts Institute of Technology
The Billion Prices Project monitors the daily price fluctuations of millions of items sold by hundreds of online retailers in more than 70 countries. The Billion Prices Project (BPP) then uses those data to conduct economic research into pricing and sales
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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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 Blackline Masters  Savetz Publishing, Inc.
Download free PDFs of black line masters for inch, polar, log, and semilog grids.
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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; truthtables; Turing machines; foundations of probability; modal logic with possibleworlds 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 paperfoldings 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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 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, 2NWinged Butterfly theorem, several pages on the Two Butterflies theorem. Several of these
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 The Butterfly Website Picture Galleries  Mikula Web Solutions, Inc.
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 precalculus and trigonometry through the calculus sequence and elementary differential equations. Yearly subscription fee applies. Samples available on the
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