 Making Order Out of Chaos  Andrew Davenport, Shane Kraynak, and Brian Timko  ThinkQuest 97
An introduction to chaos and fractals: history, theory, and a gallery of fractal images. Includes a review of complex numbers and a Java applet to investigate sensitive dependence on initial conditions.
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 Makin' Magic Programs, Fractals, Freeware, and Graphics  Dave Makin
Fractal freeware and galleries of examples. The fractal program MMFrac2.4 includes solid 3D hypercomplex and quaternion fractals and realtime 3D landscapes. An older version of the page can be found at http://skyscraper.fortunecity.com/terabyte/966/.
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 Malba Tahan  André de Faria Pereira Neto
Site oficial da família e dos admiradores de Malba Tahan, pseudônimo do professor de matemática Julio César de Mello e Souza. Bibliografia, fotos, documentos, e mais sobre o autor do O Homem que calculava, Matemática
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 Mandelbrot and Julia Set Explorer  David Joyce; Dept. of Mathematics & Computer Science, Clark University
Modify Mandelbrot and Julia set images by adjusting the (x,y) sets of the pictures; then explore what you have created. Background information and detailed instructions for how to modify the image is provided, in addition to links to other images, reference
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 Mandelbrot Exhibition  J. P. Bowen; Virtual Museum of Computing
Links to to material on Mandelbrot sets and related fractals. Historical background; introduction to the Julia and Mandelbrot sets; interactive explorers and generators of images; movies and galleries; and an Image Archive.
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 Mandelbrot Explorer  Panagiotis Christias; National Technical University of Athens
Explore the Mandelbrot fractal through X Mosaic. Selected images created by users of this page are available at the Mandelbrot Explorer Gallery Page. Set the Zoom Factor as desired and then click at the point you want to zoom in (or out) in the image
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 The Mandelbrot Set and Julia Sets  Dept. of Mathematical Sciences, SUNY Binghamton, NY
A collection of pages written about the Mandelbrot set and its associated Julia set: What is the Mandelbrot set? (Iterated functions, Julia sets, The shape of the Mandelbrot and Julia sets); The significance of the Mandelbrot set; A catalog of images
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 Mandelbrot Set and Julia Sets  Matthew Caryl
Both the Mandelbrot Set and Julia Sets are pictorial representations of a simple recurrence formula  z(n) = z(n  1) ^ 2  c  where values of z and c are complex numbers of the form a + ib and i is the square root of 1. Here both sets can be seen.
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 Mandelbrot Set Programs And Links  James Dawe
Several Mandelbrot generator programs for Windowsbased machines and for DOS, freeware or shareware. Reviews of fractal related software, some available for downloading; Mandelbrot links.
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 marcusvolz.com  Volz
Computergenerated works of art that are visual displays of mathematical patterns and structures, and dynamic animations of mathematical processes. Mathematical visualizations by the University of Melbourne research fellow have included 10,000Point Voronoi,
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 Maria's Fractal Explorer Gallery  Maria Grist
A gallery of fractal images made using the program Fractal Explorer program.
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 Marius Kempe
Kempe's activities consist of photos of a manipulative or geometric drawing, each captioned with brief instructions and a question. "Writing" includes a guide to the errata for Weyl's Symmetry; as well as translations of Pólya's "On the analog
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 Mark McClure
Mark McClure is an assistant professor at the University of North Carolina at Asheville researching real analysis, specifically fractal measure and dimension. Papers on these topics may be downloaded in gzipped PostScript format; a paper involving Julia
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 Mark Newbold's Page  Mark Newbold
Home page of a physics and math enthusiast. Contains: Java stuff (HyperSlice  Hyperspace Polytope Slicer, animated Necker cube, counterrotating spirals, stereoscopic animated hyperspace objects); stereoscopic 3D stuff (3D HyperCube Java applet, anaglyphs);
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 Mateo y Cientina  Lawrence Hall of Science (LHS)
The cartoon kids, Mateo y Cientina, present familyfriendly, handson activities that help: adults and children alike to overcome their fear of math and science; encourage families to spend time on subjects important to academic achievement; introduce
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 MathArt Exhibit  Daryl Hepting, University of Regina, Saskatchewan, Canada
Eighteen examples of art created through mathematical concepts, some accompanied by detailed information about their generation.
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 mathartfun.com  Robert Fathauer
Learn and purchase products about tessellations, polyhedra, new perspectives (anamorphic art), fractals, M.C. Escher, tangrams and dissections, kaleidoscopes and symmetry, and paper folding. The gallery of mathematical art contains twisted ribbons and
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 Math Art Gallery  Dept. of Mathematics, University of Nijmegen, the Netherlands
Links to Singularity knots; Singularity knot animations; and Pictures generated by vort. Also a few 3D fractals; g=1, g=2, and g=3 surfaces plus source files for creating the pictures; source files; Interactive art in Minnesota, and All kinds of beautiful
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 MathArt.net
A web gallery of mathematical art, including a blog. MathArt.net features artworks, artists, and interviews. It covers many forms of mathematics, as long as there are artistic imagery involved (this means the usual Chaos Theory, geometry and the like).
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 Math Awareness Month (MAM)  Joint Policy Board for Mathematics (JPBM)
Mathematics Awareness Month  formerly Math Awareness Week (MAW)  is held each April to increase public understanding of and appreciation for mathematics. Since 1991, yearly themes and activities at the local, state, and regional levels have included
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 Math Bibliography  Leigh Denault, Rivendell Educational Archive
A bibliography useful for research on the lives of famous mathematicians. See also the Rivendell fractal image gallery generated using Mandelbrot fractals.
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 Mathbun  Chaim GoodmanStrauss
Mathematical graphics, featuring many fractals and tessellations. The category of mathematical objects includes photographs of jigsaw puzzles and outdoor sculpture; "math fun," of Zome and tilings.
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 Math Dork Interactive Math
Animated algebra tutorials, online quizzes, and games. Animations require Flash 3. Full access to this site involves a monthly fee; free lessons include graphing points in the coordinate plane and "The Golden Rule of Algebra."
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 Mathematica in Higher Education  Wolfram Research
Lessons, resources, books, and classroom packs for making Mathematica software an integral part of math education in university and college classrooms. Also features Mathematica versions geared and priced for students, as well as flexible academic purchase
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 Mathematical Functions  Wolfram Research, Inc.
An encyclopedic collection of information about tens of thousands of mathematical functions. The site details the interrelationships between the special functions of mathematical physics and the elementary functions of mathematical analysis, as well as
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 Mathematical Imagery  American Mathematical Society (AMS)
Mathematics and art come together in these albums of mathinspired and mathematicallygenerated works, which may be sent as epostcards, links to online galleries and museums, and to other resources about mathematics and art.
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 Mathematical Machines  Museum of Natural Science and Scientific Instruments of the University of Modena
Models of machines based on scientific and technical literature dating back to classical Greece. Among other didactic goals, La collezione di Macchine Matematiche aims to foster reflection on the historical relationships between mathematics, society,
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 Mathematical Moments (AMS)  American Mathematical Society
A series of illustrated "snapshots" in the form of posters or flyers in PDF format, or audio podcasts, designed to promote appreciation and understanding of the role mathematics plays in science, nature, technology, and human culture. Freely downloadable;
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 Mathematical Museum and Exhibitions  ZIB/MathNet
A selected collection of links with many images referring to the History of Mathematics, the History of Computer Science, and other Related Fields; Digital Art and Galleries collections; Visualizations and Animations of scientific data; Didactical Items,
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 Mathematical Paintings and Sculptures  Vlad Alexeev
Blog featuring artworks and sculptures based on mathematical principles, especially fractals and Escherian images.
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 Mathematical Paintings of Crockett Johnson  David Crockett Johnson; Smithsonian National Museum of American History
David Crockett Johnson was perhaps most famous for his children's book Harold and the Purple Crayon. From 1965 until his death in 1975, Crockett Johnson painted over 100 works relating to mathematics and mathematical physics. Of these paintings, eighty
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 Mathematical Poetry  Kaz Maslanka
Blog mainly of "equational poetry," which the author describes as "an artistic expression created by performing mathematical operations on words or images." Posts of "math as a language for connotation," which date back to February, 2005, have included
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 Mathematical Presentations and Articles  James Taylor, Moriah College, Australia
A growing collection of PowerPoint presentations and articles written by James Taylor, of Moriah College in Australia. Preview or buy the three presentations (on the topics of conics, polyhedra, and volume); or read articles on Cantor triangles, the Clepsydra,
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 Mathematical String Art  Richard and Donna Goldstein
Drawings with equations illustrate: Sliding Ladder, Parabola, Astroid (fourway sliding ladder), Ellipse, Hyperbola, and Octagon. The mathematics behind the equations requires analytic geometry and calculus.
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 The Mathematical Tourist  Ivars Peterson
"Cool stuff" that Peterson, the Director of Publications and Communications at the Mathematical Association of America (MAA), encounters while "browsing the world of mathematics and computer science: new developments in math and its applications, old
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 Mathematical Visualization  David Banks, ICASE
Interacting With Surfaces in 4D Illustrations of: Torus Rotating in R4; Steiner Surface showing triple point; Crosscap; Striped Crosscap; Double Crosscap; Klein Bottle containing Möbius band; Sudanese Surface: Möbius band w/ circular boundary;
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 Mathematica: Tour of Features  Wolfram Research, Inc.
Pages that guide you through an interactive demonstration of some of Mathematica's capabilities. New features; using the program as a calculator; power computing; accessing algorithms; building up computations; handling data; visualization; Mathematica
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 Mathematician's Birthday Calendar  Judy Ann Brown
Celebrate mathematics through the months by remembering the birthday of your favorite mathematician. Includes lesson ideas.
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 Mathematics and Art  Marc Frantz, Indiana University/Purdue University, Indianapolis
Course syllabus, topics, text, resources, lecture notes, and quizzes, predominantly available in PDF format. Topics include mathematical perspective, anamorphic art, and fractals. Includes a long page of links to other sites with math and art resources.
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 Mathematics Animated  Louis A. Talman, Dept. of Mathematical & Computer Sciences, Metropolitan State College of Denver
QuickTime animations to run or download: The Sine Curve; An Ellipse; An Elliptic Reflector; A Parabolic Reflector; The Moving Secant Line; Measuring Slope and Plotting the Derivative; The Cycloid; An Epicycloid; A Hypocycloid; A Simple Polar Area Problem;
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 Mathematics Enhancement Programme  Centre for Innovation in Mathematics Teaching, Univ. of Exeter, U.K.
A whole curriculumlessons, worksheets, overhead projector transparencies, teacher notes, practice problems and examsfor primary and secondary schools. Use the Mathematics Attainment Test to generate tests online, automatically mark and detect common
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 Mathematics Experiences Through Image Processing (METIP)  Steve Tanimoto; Dept. of Computer Science & Engineering, Univ. of Washington
A project designed to produce and test materials that promote digital image processing as a means of motivating K12 students in mathematics and to teach mathematical concepts, encouraging teachers and students to experiment firsthand with digital images
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 Mathematics Graphics Gallery  Xah Lee
A collection of mathematical images. Links to files on Xah Lee's sites that contain attractive mathematics graphics: Nested Inversion of Circles; Conic Sections; Epicycloid and Hypocycloids; Rose Curves; wallpaper designs; Transformation of the Plane;
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 Mathematics in John Robinson's Symbolic Sculpture  University of Wales, Bangor
Art and mathematics are combined in this site, which explores Borromean Rings, The Möbius Band, Bernard Morin and the Brehm Model, The Projective Plane, Fibre Bundles, Knots and Links, Torus Knots, and Fractals through the work of sculptor John Robinson.
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 Mathematics  John Savard
A collection of essays and illustrations: pentagonal tilings, infinity (Cantor's theory of transfinite numbers), rotations of the dodecahedron, Archimedean solids, the fourth dimension (regular polytopes), Gödel's proof and the halting problem, and
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 Mathematics Learning
A publishing company offering researchbased activity books, games, and software for grades preK8.
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 Mathematics Museum (Japan)
Exhibits: Deformation of Catenoid to Helocoid; Geometry of wallpaper patterns (with interactive examinations); MathCut Studium; SolitonLab Art Gallery; Sangaku (Japanese temple geometry problem); The beauty of surfaces; Kodawari House, Keiichi Suzuki's
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 Mathematics  World Lecture Hall
Links to pages created by faculty worldwide who are using the Web to deliver math class materials: course syllabi, assignments, lecture notes, exams, class calendars, multimedia textbooks, etc. Advanced Integer Programming, Advanced Linear Programming,
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 Mathematiques Interactives en Java et OpenGL  aetius (Sylvain Deshayes)
Several applets, all instructions and description in French, and including source code: SurfaceGL, Surface3D, Zernike, géométrie du triangle, Poncelet, les 6 cercles de Miquel, 4 droites et 4 cercles, systèmes différentiels,
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 MathGifs
"Illuminating mathematics through animations." This blog, which dates back to September, 2013, has included illustrated posts such as "Reflective Property of the Ellipse," "Rotations Through Translations," "Fourier Pumpkins," "Sonic Booms," and "The Mandelbrot
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