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  1. Shodor Education Foundation, Inc.
    A non-profit research and education organization dedicated to the advancement of science and math education, specifically through the use of modeling and simulation technologies. Interactive middle school lessons aligned with curricula are available through ...more>>

  2. 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 ...more>>

  3. Sierpinski Shapes - Rick and Donna Joi
    An interactive Java applet that allows you to create hundreds of fractal shapes using a variation of the Sierpinski triangle algorithm. Includes a page that provides a non-technical explanation (with pictures) of the fractal math. ...more>>

  4. Sierpinski Tetrahedron: A Metal Sculpture - Stan Goldade
    Pictures and background information on the sculpture, with some Sierpinski facts. Breckenridge Senior High School students welded 4,096 equilateral metal triangles together to form 1,024 tetrahedra to form a stage-5 Sierpinski Tetrahedron. It is located ...more>>

  5. The Sierpinski Triangle - Robert L. Devaney; Dept. of Mathematics, Boston University
    Section from the paper "Chaos in the Classroom," describing the deterministic (rather than random) construction of the Sierpinski triangle. ...more>>

  6. 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). ...more>>

  7. Sketchpad Activity Center - Bill Finzer, Key Curriculum Press
    Interactive lessons for use with an early version of the Geometer's Sketchpad. Construct a fractal tree using a recursive script; use the Point on Object command to study random phenomena. These lessons have been used in Key Curriculum Press's summer ...more>>

  8. The Snowflake Curve, Perimeter and Area - Don Cohen (The Mathman)
    Young children start with an equilateral triangle, then go 1/3 of the way along each side, then add a smaller equilateral triangle, protruding out from every side to get the next figure. A sample problem with answers from Chapter 4 of Don Cohen's worksheet ...more>>

  9. Soler's Fractal Site
    Fractal galleries of images made using Tierazon and other programs, links, downloads of fractal-generating programs, and articles on fractals. ...more>>

  10. Star Fractal - Pierre Dufilie IV
    A Java Applet displaying the Mandelbrot fractal set using exponential color smoothing. The program allows the user to zoom in and out of the fractal in the complex plane. ...more>>

  11. Stephen P. Booth
    A researcher working in physics and parallel computing. Articles and source -- code for random number generation (parallel generation and a generic Fortran-90 interface), and the xmountains program, which uses fractals to generate computer images of landscape. ...more>>

  12. Stone's Free Mac Programs - Ishihama Yoshiaki
    Free Mac software and images illustrating dynamical systems: applets (see the 4D Rubiks Cube), fractal generators, etc. Topics include artificial life, AfterDark modules, cellular automata, chaos, fractals, graphics, hyperdimension, genetic programming, ...more>>

  13. studio:ludens - Wouter Walmink and Alexander Rulkens
    Free online tools that "let you play with your own creativity," designed by two Dutch industrial and interaction designers in Eindhoven. Create your own patterns with Repper; your own tessellating coasters with Epa:kato; your own fractals and other complex ...more>>

  14. Studying Dimensionality through a Stair-Step Fractal - Burrill, Frost, Anderson, Burkett, Gribble, Ryerson, & Williams
    A background paper and a related classroom activity about a lesson study-produced activity on using a stair-step fractal to study other dimensions. ...more>>

  15. Superliminal - Daniel Green
    Use the Tyler applet to create polygons of various sizes and attach them to edges of other polygons. Read about deltahedra, flexible polyhedra, and infinite polyhedra -- figures made of an infinite number of polygons which would then fill all of space ...more>>

  16. Think Maths - Matt Parker
    This group of mathematics speakers visits schools to perform maths talks and workshops in the UK. Sessions present math in ways that "grab the attention of students and remind them that maths is something to be enjoyed." Free downloads include domino ...more>>

  17. Third Apex to Fractovia - Juan Luis Martínez
    Several galleries, each with up to 18 fractal images, and discussions on fractals as art. Also an up-to-date list of freeware fractal generators, screen savers, and fractal music software, with links and reviews. ...more>>

  18. Thom's Fractals
    A collection of fractal creations: images and wallpaper tiles, and links. ...more>>

  19. 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 ...more>>

  20. Ultra Fractal - Frederik Slijkerman
    A Windows shareware program that creates images of fractals, allowing you to write your own fractal formulas, coloring algorithms, and geometric transformations in a simple formula language. A layering feature lets you combine different fractals and coloring ...more>>

  21. Ultra Fractal Gallery - Frederik Slijkerman
    A gallery of fractal images created using Ultra Fractal, a Windows shareware program. ...more>>

  22. Understanding Mathematics: A study guide - Peter Alfeld, University of Utah
    A resource and source of encouragement, with questions and Alfeld's comments (Are you frustrated working through heaps of meaningless problems that are all alike? Does the thought "I can look it up if I have to" occur to you frequently? Do you feel that ...more>>

  23. Using the Fibonacci numbers to represent integers - Ron Knott
    We use base 10 for written numbers, and computers use base 2, but what about using the Fibonacci numbers as the column headers? or base Phi (1.618034...) instead of base 10? There are some interesting infinite series that relate to these - each with a ...more>>

  24. Using the Internet: Mathematics - Douglas Butler; Pearson Publishing (U.K.)
    A 55-page looseleaf book compiled to save teachers time finding excellent resources on the WWW and to provide a curriculum-based bank of ideas. Support activities do not demand that students have free access to the Web. The pack is divided into ten main ...more>>

  25. Video Lectures in Mathematics - Jerry Farlow
    An online pinboard gathering thousands of visual links to a broad range of math videos. Categories include applications of math; famous mathematicians; math education; math humor; math on TV, movies; STEM math initiatives; and "instructional: K-12." Farlow ...more>>

  26. 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. ...more>>

  27. A Virtual Space-Time Travel Machine - Jean-François Colonna, École Polytechnique
    Still Pictures and MPEG Animations (Images Fixes et Animations MPEG): Art and Science, Artistic Creation, Astrophysics, Celestial Mechanics, Deterministic Chaos, Deterministic Fractal Geometry, Fluid Mechanics, From the Infinitely Small to the Infinitely ...more>>

  28. Visions Of Chaos - Jason
    A Windows application that generates fractals, cellular automata, attractors and other chaos simulations. Supports 2D images, 3D images and AVI movie creation. With galleries of fractals and Mandelbulbs; cellular automata and L-systems music; and chaos ...more>>

  29. Visualization Laboratory of Geometric Objects - Mathematics Dept., Universidad Autónoma de México
    An electronic journal and works from professors, researchers and students from the Mathematics department of the School of Science of the Universidad Autonoma de Mexico, with a gallery of geometric objects (fractals), and links to other Web pages. Versions ...more>>

  30. Walking Randomly - Michael Croucher
    Croucher's blog, which dates back to August of 2007, has included posts such as "Logo Programming on the pocket PC," "Christmas gifts for math geeks (like me!)," "Martial Mathematics," "R Compared to MATLAB (or 'learning a thing or two from your students')," ...more>>

  31. Waterloo Fractal Compression Project - Edward R. Vrscay
    A research project dedicated to the study of fractal analysis and Iterated Function Systems/Fractal Transforms from theoretical and practical perspectives, focussing on image and signal compression. Both mathematical and non-mathematical introductions ...more>>

  32. weed's fractal gallery
    A small gallery of fractal images and a few fractal links. ...more>>

  33. What are Fractals?
    A short description of fractals, with illustrations. ...more>>

  34. What is a Fractal? - Sarah Seastone, Math Forum
    A short description (with illustrations of the Mandelbrot Set) of fractals, paraphrased from Chapter 1, "A Mathematical and Historical Tour," of Robert Devaney's book, A First Course in Chaotic Dynamic Systems. ...more>>

  35. The Why Files - University of Wisconsin
    An electronic exploration of the issues of science, math, and technology that lurk behind the headlines of the day, presenting those topics in a clear, entertaining and accessible manner. Provides a bimonthly feature on the science of everyday life, archived ...more>>

  36. A World of Color - Graphx Edge
    Royalty-free color fractal images and fractal collections available on CD-ROM. Also clip art, fonts, textures, and a Fractal Showcase. ...more>>

  37. World of Words, Numbers, and Notes - Mike Keith
    Mostly original diversions in the areas of mathematics, word play, and music, including a Cadaeic Cadenza, a long pi mnemonic. Also, Ailihphilia (literature and word play) and Scitamatics (mathematical diversions): the recreational study of words, numbers ...more>>

  38. Writings for a General Audience - Marcus Jaiclin
    PDF articles on popular and recreational mathematics by Jaiclin, an Assistant Professor at Westfield State University: Notes on Mathematics of Voting Methods; Fractals, Pascal's Triangle, and the p-adic Numbers; Airplane Passenger Seating Problem; No ...more>>

  39. Yahoo! Science: Mathematics - Yahoo! Inc.
    All the best on the Web in math including Indices, alphabetically listed by category: Academic Papers; Algebra; Applied Mathematics; Books; Calculus; Chaos; Combinatorics; Complex Systems; Conferences; Education; Employment; Entropy; Equations; Ethnomathematics; ...more>>

  40. Zuk - Jan Bobrowski
    Download an experimental version of a dynamic Mandelbrot/Julia fractal viewer for DOS. ...more>>

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