 MicroScapes  Lucent Technologies
A series of photographs taken through high power microscopes. Galleries include:
Silicon Dreams, Atoms and Ions, The Edge of Light, Solid States, Symmetry in Motion, and Memories, Glass and Apparitions.
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 Millefiori!  David Joyce; Dept. of Mathematics & Computer Science, Clark University
Fractal patterns produced by an algorithm with changeable parameters.
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 Mirror Curves  Slavik Jablan, Mathematical Institute, Belgrade
Making art by repeating a curve to make a more complicated design, by symmetry/reflection. This paper illustrates Tamil threshold designs, Lunda and Chokwe sand drawings, and the knots/curves of Leonardo da Vinci.
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 MMach 1.3: Khoros 2.1 Toolbox on Mathematical Morphology  Adriano Nagelschmidt Rodrigues, Junior Barrera, Roberto de Alencar Lotufo, Roberto Hirata Jr.
Mathematical morphology is a general theory that studies decompositions of operators between complete lattices in terms of some families of simple operators: dilations, erosions, antidilations and antierosions. This theory is largely used in computer
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 Mobius  Paul Doherty
A Mobius strip is a band of paper that's deceptively simple in its appearance and exceptionally twisted in its properties. This activity is organized into an introduction, materials required, warming up, "what's going on?" and tools for further study,
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 Modeling and Simulation (Graphics Archive, Special Topics)  The Geometry Center
Research involving the use of computer programs to model the real world, for example, the way that light reflects off a curved surface, or the way a
diver rotates and flips during a dive.
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 Modern Cellular Automata  George Maydwell
A Java and Javascriptbased interactive exhibition of color cellular
automata. The Modern Cellular Automata Java applet and authoring software are available for download. The applet is fast and supports multiple step rules, rule mutation, and multiple
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 Modularity in Art  Slavik Jablan, Mathematical Institute, Belgrade
Jablan uses the word "modularity" to refer to the process of making art by repeating a simple block, tile, or motif to make a more complicated design, by symmetry/reflection and/or tessellation. This site includes a paper on such art and its math, linked
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 Multimedia Documents  The Geometry Center
Conference proceedings; research papers that use hypertext to present information in a nonlinear fashion, many including movies or interactive pictures; expository papers that use hypertext to present information about mathematics or the Geometry Center
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 NASA Spacelink  National Aeronautics and Space Administration
An aeronautics and space resource for educators. Math curriculum support instructional materials range from exploring meteorite mysteries and the mathematics of microgravity to the mathematics of space and rocketry; and also list related NASA Internet
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 National Curve Bank  Gray, Venit; California State University, Los Angeles
Animation and interaction, and geometric, algebraic, and historical aspects of curves. Topics include Calculus, PreCalculus, History of Math, Limits, and Fractals. Submissions are encouraged.
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 Native American Geometry  Chris Hardaker
A physical, proportional geometry that originates from the simple circle. A growing body of architectural and iconographic evidence suggests this geometry was a relatively common tradition and has been practiced for at least 2000 years. The site is divided
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 The Nature of Mathematics  Ouida B. Kinzey; Kodak
A description of how students created a mathematical slide show based on research projects. Colorado State Standard addressed: students develop number sense and use numbers and number relationships in problemsolving situations and communicate the reasoning
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 New Geometric Tilings  Adrian Fisher Maze Design
A page that celebrates the beauty of 4, 5, 6, and 7fold geometric tilings, grouped according to the regular polygons that they fill. Where possible, actual dates and designers are stated. Nearly all these tiling examples are based on sides of the
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 A New Kind of Science  The Wolfram Institute, LLC
A forthcoming book by Stephen Wolfram (creator of Mathematica) arguing that the "rules" science searches for should include algorithms like those used in computer programs, not just mathematical equations. Site includes a summary, table of contents,
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 Newton Basins  David Joyce; Dept. of Mathematics & Computer Science, Clark University
Newton's method for finding solutions to equations leads to some fantastic images when applied to complex functions. This program colors the complex plane according to where an initial guess will eventually take you, and gives each solution a different
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 Nils Ahbel  Deerfield Academy, Deerfield, MA
Access Ahbel's Blackboard courses as a guest to preview his teaching resources and download Excel files in algebra, functions, statistics, and trigonometry.
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 NOAAServer  National Oceanic and Atmospheric Administration
Search for environmental information on multiple NOAA computers; retrieve data from NOAA's electronic archives; view graphics; and download or order data.
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 Nonlinear Dynamical Systems at San Diego State  Ricardo Carretero
The NLDS group at San Diego State offers new graduate programs in Dynamical Systems and Applied Mathematics.
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 NumberSpiral.com  Robert Sacks
Instructions, observations, formulas, and a glossary about number spirals, formed by writing the nonnegative integers on a ribbon, rolling it up with zero at the center, and arranging the spiral so all the perfect squares line up in a row on the right
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 Numeracy Works  David Hartmann, Numeracy Works LLC
Numeracy Works is a commercial software company which sells Tabula, a new tool for math education. Use Tabula to create, construct, cut, tape, fold, and transform. Make fold patterns, tiling patterns, tessellations, and perspective drawings. Also on
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 Numicon  Numicon, Ltd.
By representing numbers as shapes, Numicon's teaching program addresses different learning strengths with a multisensory approach. Download free mathematics display resources (for bulletin boards and the like); topics include Numicon shapes, pattern
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 Online lessons: The NewtonRaphson Method  Kostas, Lambros; Aristotle University of Thessaloniki, Greece
An experiment in computerbased training using the Web: an online lesson on the NewtonRaphson method for solving nonlinear equations and systems of equations. The lesson includes text, sound clips, animation, and links to related computer programs. Contents:
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 Optical Illusions (SandlotScience.com)  SandlotScience
Interactive explorations of optical effects, illusions, distortions, animations, artwork, stories, PDF projects, games, and more. Impossible objects include columns, an endless staircase and animated stairs, Java triangle models, an interlaced tribar,
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 Packomania  E. Specht
The best known packings of equal circles in the unit square and the unit circle. Tables summarize the current status of the search. Figures may be downloaded in postscript format.
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 paperfolding.com  Eric Andersen
Learn to fold origami from diagrams; read about the history of paperfolding, including the origin of the term "origami." The origami & math essay contains sections such as Origami, Geometry, and the Kawasaki Theorem; and Origami and Topology.
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 PaperFoldingFractals  Joel Castellanos, Rice University
A classroom teaching or personal learning software tool for Windows that can be an introductory lesson to fractals. Simple, stepbystep processes of paper folding can give rise to infinite verities of fractals. The user learns what fractals are and how
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 Pattern  Drew, Wallace; Mathematics Across the Curriculum, Dartmouth College
An interdisciplinary course in textile design and elementary group theory. Syllabus, course pages (notes, figures, questions, group work and homework), final project and class artworks from a 1996 math and art crosscurricular class at Dartmouth College.
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 Pavilion of Polyhedreality  George W. Hart
A page of images of polyhedra from the author of Multidimensional Analysis and the Encyclopedia of Polyhedra. Constructions from wood, paper, paper clips, pencils, food and forks. The is also an extensive linked list of other Web pages related to polyhedra
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 PDK Poster Project  Pamela Davis Kivelson
"Using Visual Means to Challenge Stereotypes." Posters for scientific literacy, humanizing the image of research science and scientists, and increasing the number of women and girls who choose to pursue and maintain careers in the physical sciences and
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 Permadi.com  F. Permadi
Java and Flash applets: logic games, drawing and patternmaking programs, Conway's Life, and more arcadestyle offerings. Also includes tutorials in using Flash and a graphics gallery.
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 Perspective Drawing  Jan Garner
An examination of geometry in art: exercises in drawing, pictures and paintings in perspective on the Web (Albrecht Dürer, the Ancient City of Athens exhibit).
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 Perspective Study  Hop David
David suggests a mapping from half of 3D space onto a plane, feeling that traditional perspective drawings are similar to the image projected by a pinhole camera. Perspective illustrations of arches, looking up or down at a skyscraper, peripheral vision,
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 Peter Winton's Radical Home Page
Math topics include puzzles, a gallery of fractals, and Visual Basic programs to download (count the grains of rice on a chessboard, or graph different curves).
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 The 'PhiNest'  Gary Meisner
This source for the golden section, golden mean, divine proportion, Fibonacci Series, and phi discusses phi "for neo'phi'tes"; credit cards; energy; geometry; history; life; the human hand; the human face; the human body; human beauty; development; the
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 Photos by Paul Halmos  Mathematical Association of America (MAA)
Snapshots taken by Paul R. Halmos of notable contemporaries, academics, and other intellectuals of the 20th century. Search or browse the tagged collection of pictures, each of which includes a brief note about the subjects photographed in Halmos' own
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 The Pixel Calculator  METIP (Mathematics Experiences Through Image Processing) Project
The Pixel Calculator is intended primarily for use by students of ages 1217 in a variety of enrichment activities involving mathematics and digital image processing. It provides a good introduction for students to digital images by allowing students
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 Planet Perplex  Stefan Van den Bergh
Collection of optical illusions, impossible objects, visual puzzles, and hidden images.
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 The Platonic Solids Information Site  Dan Radin
Information, computer graphics, a computeranimated video, teaching tools, and links pertaining to the threedimensional geometry of the polyhedron in its many forms. Radin focuses particularly on the five Platonic solidsthe tetrahedron, the cube, the
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 Platonic Solids  Paul Bourke
Definitions, formulas, and illustrations of the threedimensional regular polyhedra: tetrahedron, octahedron, hexahedron (cube), icosahedron, dodecahedron, including the solids as drawn in Kepler's Mysterium Cosmographicum, and as represented in stone
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 Platonic Solids  Rüdiger Appel
Dwnload GIF animations, with shadow effects, of the five Platonic solids. Also available in German.
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 Play a Piano : An interactive Musical Java Activity  Paul Flavin
Play a Piano / Synthesizer / Oscilloscope: Play the piano using your mouse or computer's keyboard. Watch the wave forms as well as hear them. This virtual reality Java piano lets you play the piano and have a little fun while learning the relation between
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 Plotting Functions of a Complex Variable  George Abdo, Paul Godfrey
Graphs of functions of a complex variable, compared with graphs of functions of a real variable (the Introduction includes a review). Includes Conformal Maps requiring Möbius and SchwartzChristoffel Transformations. Full color images show conformal
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 Polaroid Geometry Scavenger Hunt  Math Forum
This activity presented by Ruth Carver at the Math Forum's 1996 Summer Institute, "Constructing Mathematics on the Internet," displays pictures of items found on this a hunt for a list of geometric items (tessellations, symmetry, concentric circles, shapes,
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 Poles and Zeros of a Causal LTI System  Manfred Thole
A Java applet that shows the domain of a system whose transfer function has two poles and two zeros. Poles and zeros can be dragged with the mouse. The amplitude response and the phase response are shown along the side. Plot: H(s) may take a while.
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 Polyedergarten  U. Mikloweit
Photographs of paper models of uniform polyhedra, prisms and compounds. Versions of the site also exist in German and French.
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 Polyhedra Collection  V. Bulatov
Galleries of polyhedra shown using JPEG pictures and 3D objects in VRML2.0 format. Uniform polyhedra; Duals; Compounds; Johnson's solids; 59 stellations of icosahedron; 270 stellations of deformed dodecahedron; symmetric stellations of rhombic triacontahedron:
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 Polyhedra  Rolf Asmund
A gallery of regular polyhedra, snub uniform polyhedra, deltahedra (polyhedra consisting only of equilateral triangles), and polychora; with animations, still graphics, and some taxonomic data (vertices, edges, faces, polygons, radii, and more). Mobius
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 Polynomiography  Bahman Kalantari
Polynomiography is the "art and science of visualization in approximation of zeros of polynomials. This visualization is via fractal and nonfractal images created based on the mathematical convergence properties of iteration functions." The galleries
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 Polyominoes  Slavik Jablan
A plane topological disk (i.e. a plane region without "holes") consisting of n edgetoedge adjacent squares is called a polyomino. This site offers a shape description: in every border square cell of a polyomino we could introduce twosided mirrors perpendicular
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