 Stellated Icosahedra  Roman Maeder
An excerpt of an article published in Mathematica in Education. There are 59 stellations of the icosahedron; these pages contain various images of them, ordered by increasing circumradius, and some background information. The metric properties and graphics
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 Stereograms: A COOL Application of Geometry  David Eger
Images that look like TV static, but if you look at them in a certain way, 3D pictures "pop out" at you. Download StereoGrinder (a Java program) to create stereograms; to see them do not look at the paper or screen on which the stereogram lies, but beyond
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 Student of Hyperspace  Eric Swab
A series of computer generated projections of analogs of the platonic solids in 4space; a projection of a regular polytope that exists only in 4space. Pages: Hypercube analog of the cube with sections and envelopes; Simplex analog of the tetrahedron
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 Student Tessellations  Memorial Middle School, Totowa, NJ
Memorial Middle School's Math 7 Class of 2004 completed a tessellation project using the Math Forum's Tessellation Tutorial instructions. The best work was selected for display on the website, with their accompanying poems.
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 Surfaces Beyond the Third Dimension  Thomas Banchoff
A site that documents an art exhibit hosted by the Providence, Rhode Island Art Club in 1996, featuring computergenerated artwork designed by Tom Banchoff in collaboration with Davide Cervone (now at Union College) and student associates at Brown University.
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 A Survey of Venn Diagrams  Frank Ruskey; Dept. of Computer Science, Univ. of Victoria, B.C., Canada
Facts and figures about Venn diagrams, particularly as they relate to combinatorial properties of the diagrams: Who was John Venn? What is a Venn diagram? Formal definition of Venn diagrams; General constructions of Venn diagrams. Also Graphs associated
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 Symmetrier, monstre & tesselationer med The Geometer's Sketchpad  Allan Bergmann Jensen, Kalundborg, Denmark
GSP Symmetries, Patterns and Tessellations. Contains a gallery of wallpaper designs constructed using the Geometer's Sketchpad with JavaSketchpad versions to explore, an illustrated paper on "The Math About Symmetries" (in Danish), a GSP guide, a links
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 Symmetry and Group Theory (The Geometry Junkyard)  David Eppstein, Theory Group, ICS, UC Irvine
Computational and recreational geometry pointers to sites with information, problems, and lessons having to do with symmetry and group theory (tessellations, kaleidoscopes, origami, etc.).
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 Symmetry and Orbifolds (Geometry and the Imagination)  Conway, Doyle, Gilman, Thurston; The Geometry Center
Given a symmetric pattern, what happens when you identify equivalent points? You get an object with interesting topological and geometrical properties, called an orbifold... hearts, paper dolls, wave patterns, quotient orbifolds, Moebius bands.
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 Tangent Planes  Magness, Klotz, Swarthmore College
An experiment in using the World Wide Web to illustrate the intuitive notion of tangent plane to a graph of a function of two variables. Written by Prof. Gene Klotz and Swarthmore College student Ethan Magness.
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 Tangrams: History, Puzzles, Make It, and Links  Randy Crawford
Follow the "history" link to learn about tangrams through the ages; click on "puzzles" for over 100 silhouettes to reconstruct, with solutions. "Make it" provides instructions for building your own tangram set. With references to more sites, software,
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 Tanzzle™  Franco Cocchini
Software for exploring tangrams. View published patterns and/or submit one of your own. Request a free license for schools and educational programs. Free 30day trial; free viewer download. Choose from four different sets of pieces: Tangram (traditional
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 Teach All Kids  Derman Enterprises, Inc.
Teaching advice, ideas, techniques and math educational worksheets designed to help teach students with learning difficulties. Teaching materials for different subjects including math, and community resources: blogs, forums, polls, and related resources.
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 Teach Kids Math With Model Method  Zach
Tutorials for parents or teachers, of the Model Method, widely used in Singapore Math by Singaporean teachers, tutors, and parents. Covers the method for basic operations, fractions, decimals, percents, averages, and ratio.
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 TerryStickels.com  Terry Stickels
Puzzle website by author and syndicated columnist Terry Stickels. Visual puzzles, slideshows, and an online store for books, games, and other materials.
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 Tessellations, Lifelike Tilings...  Andrew Crompton
Tessellations, Lifelike Tilings, Grotesque Geometry, Dissection Puzzles, Anamorphic Mirrors, and Escher style drawings: about twenty examples of Crompton's own work as well as the world's first tessellation (not by Escher), by a teacher of geometry to
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 Tessellations.org  David Annal
Overview of the subject of tessellations with practical examples of how to produce them. Background information on tessellations, including symmetry and famous tessellators, and extensive galleries.
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 Tessellations Project  Mrs. Sulik's Fifth Grade Math Class
"M. C. Escher was a Dutch artist who lived from 18981971. Many of his drawings were tessellations. Instead of using the usual polygons, like triangles and squares to tessellate, he liked to create pictures of horses, fish, salamanders, and birds that
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 Tessellations  Robert Fathauer
A company that makes Puzzellations, Colorful Connectables, and Perpetual Patterns puzzles, plus a variety of other products inspired in part by the Dutch graphic artist M.C. Escher, but also by mathematicians such as Roger Penrose and Benoit Mandelbrot.
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 Tessellation Tutorials  Suzanne Alejandre
A series of tutorials that teach students how to tessellate (somewhat in the style of the art of M.C. Escher) using HyperCard for black and white and/or HyperStudio for color, ClarisWorks, LogoWriter, templates, or simple straightedge and compass. The
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 TeX to GIF converter for Web documents  John Walker
A simple Perl program that uses the same software tools as are employed by LaTeX2HTML to compile individual equations in short LaTeX files into GIF images suitable for embedding in Web documents.
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 Texture and Colour  Paul Bourke
In many texturing applications it is necessary to be able to "tile" the texture over a larger region than the texture segment covers. Bourke offers a discussion with examples of tiling formats, together with links to tiles: Tile; Brick, Tile; Stone tile;
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 Thinking Fountain Shape Cluster  Science Museum of Minnesota
Activities, images, and experiments relating science, math, and language arts. The shapes and math cluster features shape walk, I C shapes (finding circles, squares, and triangles in everyday objects), soap bubble geometry, pyramids and cubes (building
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 Third Apex to Fractovia  Juan Luis Martínez
Several galleries, each with up to 18 fractal images, and discussions on fractals as art. Also an uptodate list of freeware fractal generators, screen savers, and fractal music software, with links and reviews.
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 Thom's Fractals
A collection of fractal creations: images and wallpaper tiles, and links.
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 Tiling: A Java Program for Exploring Plane Tilings  Tom White
A Java application for experimenting with tilings and tessellations through scripting. Construct tilings interactively using a mouse  "like doing a jigsaw." Alhambra comes with many tile shapes already supplied; the site offers images created from the
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 Tiling Plane and Fancy  Steve Edwards
The 17 wallpaper groups identify the plane symmetry groups and link to background patterns illustrating them. Tiling Definitions define, with examples, the terms fundamental region, isohedral tiling (isohedral and nonisohedral), isogonal tiling, lattice,
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 Tilings and Geometric Ornament  Kaplan, Salesin
A project designed to explore the intersection between computer graphics, geometry, and ornamental design. Papers and illustrations on Escherization, Islamic Star Patterns, Parquet Deformations, Symmetrohedra, and Voronoi Diagrams.
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 Tilings (Graphics Archive, Special Topics)  The Geometry Center
Regular subdivisions of the plane or space.
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 Times Table Rhymes  Benita BuchholzSchafer
Times table rhyme stories offer fun reading practice along with one hundred large colorful pictures. For elementary/primary school age. On CD.
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 Times Tales  Trigger Memory Systems
Memorization system for the upper multiplication facts (6, 7, 8, 9 times tables). Uses visual mnemonics.
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 Toads And Frogs Puzzle in 2D  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A 2dimensional Frogs and Toads puzzle that is not much more complicated than its 1dimensional analogue, provided, of course, the latter is fully understood. Java applet.
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 The Topological Zoo  The Geometry Center
For mathematicians and educators: a visual dictionary of surfaces and other mathematical objects, consisting primarily of movies, still images and interactive pictures. Can be used to complement classroom presentations, research papers and talks. Each
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 Topology Atlas  Shakhmatov and Watson; York University, Toronto, Ontario, Canada
A multipurpose center for electronic distribution of information related to topology, the mathematical study of surfaces, sometimes called "rubber sheet geometry" because topologists consider geometric figures as though they were drawn on infinitely
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 Topology (Graphics Archive, Special Topics)  The Geometry Center
Properties of objects that don't change when they are stretched or twisted (Klein bottle, Moebius band).
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 Totally Tessellated  Bhushan, Kay, & Williams
A comprehensive introduction to tessellations and tilings  the basic underlying mathematics and examples of tessellations in real life. The highly illustrated, printerfriendly site includes history (tessellations in mathematics and science, decorative
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Tour: M.C. Escher  Life and Work  National Gallery of Art, Washington, DC
A tour of four virtual rooms devoted to the art of M. C. Escher. For each graphic a larger picture with accompanying commentary is available by clicking on a small picture. The gallery has more than 400 works by Escher with many images available online.
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 A Tour of Fractions  Math Forum
The Web often seems more like a maze than an organized set of resources. To help you find what you need, the Math Forum presents a 'tour' of fractions, offering links to lessons, activities, and materials, questions and answers from Ask Dr. Math, and
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 Tractrix Java Applet Class  PHD Computer Consultants Ltd
Download Tractrix.zip, a Java applet that makes the kind of pretty swirling patterns which Dutch mathematician Huygens originally named in 1692. Specify applet width and height, background and foreground color, coordinate pairs that will identify corners,
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 Traffic Signs  Richard C. Moeur
Graphics of the most commonly used traffic signs in the United States, useful for challenging students to find symmetrical signs (in addition to polygons).
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 Transformations  David A. Reid
A transformation is a onetoone mapping on a set of points. The most common transformations map the points of the plane onto themselves, in a way which keeps all lengths the same. These transformations are called isometries. Another common sort of transformation
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 Triangle: A TwoDimensional Quality Mesh Generator and Delaunay Triangulator  Jonathan Richard Shewchuk, Carnegie Mellon University
A triangle that generates exact Delaunay triangulations, constrained Delaunay triangulations, and quality conforming Delaunay triangulations. The latter can be generated with no small angles, and are thus suitable for finite element analysis. Created
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 Trig According to Euclid  Len Smiley, Deborah Smiley
Four figures proving trigonometric addition and subtraction formulas for cosine and sine. Free of Cartesian coordinates, the proofs are synthetic and use a common, minimal diagram from Euclidean geometry.
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 Ultra Fractal Gallery  Frederik Slijkerman
A gallery of fractal images created using Ultra Fractal, a Windows shareware program.
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 Undergraduate Research Project in Random Tilings  Propp, Wilson
This project investigates different regions of random tilings of nxn squares with 1x2 dominoes: square, hexagon, fortress, dungeon, and Aztec diamond (the set of lattice squares completely inside a square tilted 45 degrees, discovering that the dominoes
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 The Uniform Polyhedra  Roman Maeder
A shortened version of the notebook Polyhedra.ma from Illustrated Mathematics [Gloor/Amrhein/Maeder95]. Uniform polyhedra have regular faces and congruent vertices. Allowing for nonconvex faces and vertex figures, there are 75 such polyhedra, as well
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 VEE: The Visual Elements of Euclid  Ralph Abraham
The Euclid Project is an exfoliation of the Elements of Euclid, the most important math text of all time. It will encompass several books, a CDROM, and an educational environment on the World Wide Web. Its components are: The Visual Elements of Euclid
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 The Virtual Mathematics Center  Martindale's Graduate & Undergraduate Center
Preprints and online journals from a wide variety of math and science organizations; Online math dictionaries and encylopedias; mathematics courses, tutorials and databases; courses by subject; related mathematics information and databases.
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 Virtual Math Museum  Richard Palais
A virtual "mathematical museum" being developed and improved by an international group of mathematicians called the 3DXM Consortium (the same group responsible for the development of the 3DXplorMath mathematical visualization program). Topics include
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 Virtual Polyhedra  George W. Hart
A growing collection of over 1000 virtual reality polyhedra to explore, complementing Hart's Pavilion of Polyhedreality. Includes instructions for building paper models of polyhedra including modular origami, with ideas for classroom use. Each of the
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