 Research Papers  The Geometry Center
Scientific papers written at the Geometry Center that use the unique aspects of hypertext to present information in a nonlinear fashion. Many include movies or interactive pictures. A Tight Polyhedral Immersion of the Real Projective Plane with one Handle
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 Research  Peter Alfeld; University of Utah
Researchrelated materials: An interactive applet that lets you explore the BernsteinBézier form of a bivariate polynomial; recent papers, complete bibliography, recent talks, computer graphics (illustrating various mathematical concepts: US Global Positioning
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 Rivendell Educational Archive  Leigh Denault
An educational archive of materials in botany, history, math, science, drama, literature, philosophy, and art. Math resources include mathematician biographies, a fractal image gallery, and a bibliography.
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 Room 8 Geometry Book  Ms. Woods' First Grade
Shape drawings by firstgraders: Prelude; Shapes  Triangles, Circles, Ovals, Squares, Rectangles, Diamonds, Pentagons, Hexagons, Octagons, Other Shapes; Forms  Cubes, Rectangular Prisms, Pyramids, Spheres, Cylinders, Cones; Concepts  Corners, Angles,
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 Rouse Ball's Fallacy  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A famous fallacy by Rouse Ball now implemented in Java. A proof that an obtuse angle is right. How can that be?
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 R. S. Schaeffer  Randy S. Schaeffer, Math & Computer Science, Kutztown University of Pennsylvania
Schaeffer teaches a course called "Methods of Teaching Secondary Mathematics." Download the lessons created by his students that call on Geometer's Sketchpad, graphing calculators, and Microsoft Excel. Lesson topics address parallel lines, box and whisker
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 S3Triplett als 3DWelt und als Animation  Stefan Scheller
Ein S3Triplett (drei orthogonale Projektionen) wartet mit überraschenden Effekten auf. Besonders interessant wird das Triplett, wenn es als VRMLAnimation betrachtet wird (VRMLPlug In vorausgesetzt). A GIFanimation shows a S3triplet. When watched
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 The Sands of Time  Troy Jones
The author uses ridges in piles of salt to model geometric concepts. This page features an article (PDF format), PowerPoint presentation, Geometer's Sketchpad file, and textbook reference for a classroom exploration of such concepts.
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 Sangaku  Hiroshi Kotera
Click on the map of Japan to see photographs of sangaku  Euclidean geometry theorems rendered as colored drawings on wooden tablets, and hung in shrines or temples  dating to the Edo period (16031867). Also, learn how to use counting rods, called
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 sciencetotouch  Jürgen RichterGebert
Projects for interactively visualizing science, from one of the coauthors of the Cinderella geometry software package: iOrnament, a drawing and explanation app for the 17 crystallographic wallpaper groups; ixquadrat, a museum exhibit of symmetry, Escher,
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 Scientific Graphics Project  MSRI  David Hoffman; Mathematical Sciences Research Institute
A geometry catalogue of Minimal Surfaces (The Gauss Map, The Weierstrass Formula, Conformal Mapping, Stereographic Projection, and an extensive Minimal Surfaces Index); CMC Surfaces; Level Surfaces (Level Sets Approximating Minimal Surfaces, Curvature
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 Scott Kim, Puzzle Master
A puzzle and graphic design creator, Scott Kim offers links to his online puzzles, a gallery of inversions (or ambigrams, words or names written so they read in more than one waysome read upside down, some flip in a mirror, some read as two different
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 Seattle Fractals Digital Art  Doug Harrington
A fractal art site featuring highresolution digital fractal art prints for sale, and fractal art Windows 95/98/NT/2000 screensavers.
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 Self Portrait at Age 13: Albrecht Durer 1484  Ralph Martel
A paper illustrated by a PowerPoint slide show to demonstrate how Albrecht Durer used geometry in his art work from the age of thirteen. This paper by Martel is one of a series that he is writing on mathematics and art. Suzanne Alejandre wrote a teaching
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 Seventeen Kinds of Wallpaper Patterns  Mathematics Museum (Japan)
Examples of the 17 wallpaper groups in Japanese culture. Also available in Japanese.
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 Shapari and Curvay  Spelunk Computing
Windows software designed to allow children to produce abstract and fractal patterns from simple shapes and operations. Shapari offers 5 levels of difficulty, allowing children to challenge their visualization abilities by matching computer generated
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 ShapeGame  Architectronics, Inc.
Drag shapes on, drag shapes off: triangles, squares, hexagons, rhombuses, and trapezoids. Also, change their color, orientations, and more.
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 Show Me Your Math  Borden, Lisa Lunney; and Wagner, David
Student projects and resources to support culturally responsive teaching from a program that invites Aboriginal Students in Atlantic Canada to explore the mathematics evident in their own community and indigenous practices. Nova Scotia youth who participate
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 The Sierpinski Carpet Project, 20002001  Tom Canright
Instructions and pictures of The Sierpinski Carpet Project, from Tom Canright and Linda Gazzola's sixth grade mathematics classes at the Latin School of Chicago. All of the carpets are a type of fractal, meaning that the basic patterns are reiterated
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 Sieve of Eratosthenes  Interactive mathematics Miscellany and Puzzles, Alexander Bogomolny
Sieve of Eratosthenes with an interactive Java illustration. A slight
modification of the Eratosthenes' algorithm leads to a different sieve
that leaves out square numbers. The latter is also accompanied by a Java
illustration.
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 A Site For Cyber Eyes  BZLeonard
Fractals, graphics, photos and altered photos, 3D graphics, links, Sherman's Humor Column, and Ginger's Diary (A teenager describes being bombed by the Japanese on December 7, 1941).
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 Sketches of Topology  Kenneth Baker
Visualizations, often created with Sketchup, of low dimensional topology. Blog posts, which date back to November, 2007, have included "Twisted Saddles," "Scharlemann cycles," "Long Disks and Lopsided Bigons," "Ko Honda's Octahedral Relation," "Berge
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 Slide Show  Roxanne M. Byrne
Slide shows on calculus concepts: limits, derivatives and rules, integration, and infinite series. Some of the slide shows can be downloaded as PowerPoint files; if you do not have PowerPoint on your computer, you can download a PowerPoint Viewer Zip
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 Sloan Digital Sky Survey
The astronomical surveys of the Sloan Digital Sky Survey (SDSS) have "obtained deep, multicolor images covering more than a quarter of the sky and created 3dimensional maps containing more than 930,000 galaxies and more than 120,000 quasars." SDSS's
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 Snowflakes and Stars  Ignacio Dayrit
Graphic images of snowflakes with folding instructions to make from paper.
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 Soler's Fractal Site
Fractal galleries of images made using Tierazon and other programs, links, downloads of fractalgenerating programs, and articles on fractals.
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 Soliton Lab Art Gallery  Kanehisa Takasaki, Takasaki Lab, Kyoto University
The site contains a solitonlab as well as links to mathematics galleries. The special exhibition section contains links to related sites from around the world while the permanent exhibition section is an explanation of solitons with more
links to other
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 Solve My Maths  Ed Southall
Blog of "puzzling questions that purposefully minimalise the amount of information explicitly given," written by the author of Yes, but Why? Teaching for Understanding in Mathematics. Posts by the University of Huddersfield maths education specialist's
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 Space Figures and Basic Solids  Mark Motyka, Math League Multimedia
Definitions and illustrations of "space figures" and information on crosssection, volume and surface area for the following: cube, cylinder, sphere, cone, pyramid, tetrahedron, and prism.
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 SpaceFilling Designs  Edwin van Dam, Dick den Hertog, Bart Husslage, Gijs Rennen; Tilburg University, the Netherlands
Free online database of spacefilling designs for (computer) experiments. Includes maximin, nested maximin, and minimax designs, as well as a bibliography and links to other web sites. All designs on this website may be downloaded and used free of charge,
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 SpaceTime  Chris and Stephen DeSalvo
SpaceTime develops mathematics software for personal digital assistants (PDAs) and other mobile devices such as Pocket PCs, Palm Pilots, and smartphones. Play JavaScript and Flash games in the arcade: ArithmeTick, Math Scramble, Math Mountain, Snake,
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 Space Time Travel  Ute Kraus and Corvin Zahn (Theoretische Astrophysik Tübingen)
Black holes and travel at nearly the speed of light: Visualization of the theory of relativity. Online papers, images, movies and paper models. English version of the German site.
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 Spanky Fractal Database  Noel Giffin
A collection of fractals and fractalrelated material for free distribution on the net. Most of the software has been gathered from various ftp sites on the Internet and is freeware or shareware. Contents: An index of Fractal material; General information;
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 Sprott's Fractal Gallery  Julien C. Sprott, Dept. of Physics, Univ. of Wisconsin
Images from programs and books by the site's author, with information about these books and software packages, and MSDOS software packages available for download. Every day a new fractal image is automatically generated on this page by a variation of
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 Statpics.com  Robert W. Jernigan
This blog, "devoted to images that illustrate statistical ideas," has included posts such as "Quincunx: A Designer's View," "A Skewed Runway," "Joint and Marginal Distributions in Legos," "Microbes Illustrate Simpson's Paradox," "How Mariano Rivera Dominates
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 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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 TagMath  Cody Taggart
Blog by a Wisconsinite now teaching at the United Nations International School in Hanoi (Vietnam). Weekly updates, 48hour challenges, and other posts addressed to Taggart's students date back to February, 2012; and have included "Dublox," "Reviewing
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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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