- The Projects of R. W. Gray - Robert W. Gray
Geometric coffee tables, an introduction to polyhedra and the jitterbug (a dynamic polyhedron) that draws on the golden ratio, a collection of notes with respect to R. Buckminster Fuller's work, photos of a dome frame Gray built with students at Oswego
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- Pulchritudinous Primes
Visualizing the distribution of prime numbers: graphical investigations in 2D, 3D, Prime Island, The Ulam Spiral Phenomenon, Triangle Numbers on the Ulam Spiral. With an introduction, Why Primes?
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- Pythagorean Theorem - Over 20 Proofs - Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A general exposition of the Pythagorean theorem, with proofs from Euclid to Garfield - and more. Also links to other sites on the Web with proofs.
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- Quilt Block Patterns - Hester Butler-Ehle
Links to a variety of quilt block patterns (four-patch, five-patch, nine-patch, and more). Several are suitable for replication using pattern blocks.
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- Raccordo tangenziale tra superfici toriche - isawi
In Italian: "Ricerca riguardante la messa appunto di un procedimento di costruzioni geometriche capace di determinare delle superfici inviluppanti tre quadriche di rotazioni assegnate ( sfere, ellissoidi, parabolidi o iperbolici). I risultati raggiunti
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- Recreational Mathematics Topics - Steven Dutch; University of Wisconsin - Green Bay
Contents: Symmetry, Crystals, Polyhedra and Tilings: an extensive, illustrated collection including reflectional and rotational symmetry; repeating patterns in two and three dimensions; building crystal forms with unit cells; regular, Archimedean, radial,
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- Recursion in Space - 21 Isometric Models - Ernest V. Miliauskas
Mathematical constructions, sub-assemblies or subsets of an infinite set, presented in a slide show that demonstrates the author's interest in symmetric three-dimensional forms. From chalk talks in advanced spacial studies given at Ryerson University
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- Recycling Topology - Ivars Peterson (MathLand)
It's hard to miss the triangle of three bent arrows that signifies recycling. It appears in newspapers and magazines and on bottles, envelopes, cardboard cartons, and other containers. But have you noticed that there are two versions of this ubiquitous
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- Redecorator Fractal Wallpaper Manager - Seraline P/L, Sydney, Australia.
A wallpaper manager, or randomizer, and image creator for Windows 95/98/NT/2000. Redecorator can change your desktop wallpaper as often as you like, creating seamless tiles and fractals.
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- Re-Inventing Fourth-Grade Mathematics - Jack J. Lopez; Kodak
A series of four related activities through which students acquired a firm, active knowledge of some of the basic terminology of Euclidean geometry, learning the vocabulary for describing various geometric shapes and transformations. Students photographed
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- Research Papers - The Geometry Center
Scientific papers written at the Geometry Center that use the unique aspects of hypertext to present information in a non-linear 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
Research-related materials: An interactive applet that lets you explore the Bernstein-Bézier 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 first-graders: 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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- S3-Triplett als 3D-Welt und als Animation - Stefan Scheller
Ein S3-Triplett (drei orthogonale Projektionen) wartet mit überraschenden Effekten auf. Besonders interessant wird das Triplett, wenn es als VRML-Animation betrachtet wird (VRML-Plug In vorausgesetzt). A GIF-animation shows a S3-triplet. 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 (1603-1867). Also, learn how to use counting rods, called
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- science-to-touch - Jürgen Richter-Gebert
Projects for interactively visualizing science, from one of the co-authors of the Cinderella geometry software package: iOrnament, a drawing and explanation app for the 17 crystallographic wallpaper groups; ix-quadrat, 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 way--some 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 high-resolution 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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- The Sierpinski Carpet Project, 2000-2001 - 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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- 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, multi-color images covering more than a quarter of the sky and created 3-dimensional 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 fractal-generating programs, and articles on fractals.
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- Soliton Lab Art Gallery - Kanehisa Takasaki, Takasaki Lab, Kyoto University
The site contains a soliton-lab 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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- Space Figures and Basic Solids - Mark Motyka, Math League Multimedia
Definitions and illustrations of "space figures" and information on cross-section, volume and surface area for the following: cube, cylinder, sphere, cone, pyramid, tetrahedron, and prism.
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- Space-Filling Designs - Edwin van Dam, Dick den Hertog, Bart Husslage, Gijs Rennen; Tilburg University, the Netherlands
Free online database of space-filling 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 fractal-related 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 4-space; a projection of a regular polytope that exists only in 4-space. 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 computer-generated 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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