 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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 Mandelbrot Home Page  Chaffey High School
Information and fractal links to sites about the Mandelbrot Set. Questions and Answers: When did the mandelbrot surface? Who found the thing? How does the Mandelbrot come to form? What is iteration? Does the mandelbrot come from an equation? Where can
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 Mandelbrot Set and Applet  Peter Alfeld, University of Utah
The Mandelbrot set is the the set of all complex numbers z for which sequence defined by the iteration z(0) = z, z(n+1) = z(n)*z(n) + z, n=0,1,2, ... Its boundary exhibits complicated structure at all length scales from about 1 down to zero: it is a fractal.
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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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 The Mandelbrot Set  Simon Arthur
A Java applet that lets you explore the Mandelbrot set, a type of infinitely complex mathematical object known as a fractal. No matter how much you zoom in, there is still more to see. Set the area you want to zoom in on by holding down the mouse button
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 Mandel  Ken Shirriff
An applet that displays the Mandelbrot fractal set. Clicking on the image will zoom in. The "Options" bar allows you to change the maximum number of iterations, reset the image, or get help information. The applet illustrates how an image can be periodically
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 Mandelstep  Karl J. Runge
The idea behind "mandelstep" is that by letting you select starting positions and looking at a handful of iteration "trajectories" or "orbits," you can begin to understand more about the different regions of the Mandelbrot set  not just whether a point
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 Manipula Math with Java  International Education Software (IES)
Hundreds of interactive Java applets for middle school through early college years on subjects such as geometry, calculus, trigonometry, linear transformations, vectors, complex numbers, and conics. Applets and animations often include introductions to
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 Maple Application Center  Waterloo Maple, Inc.
Software you can order to explore, share, and publish math on the Internet. Interactive media for exploring and exchanging mathematical ideas, with content on a variety of subjects at the high school, university, and graduate level. (There are high school
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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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 Mark D. Meyerson  Mathematics Dept., U.S. Naval Academy
Professor Meyerson's research interests as illustrated on his Web page include: An animated proof of the Pythagorean Theorem; Fractals (a piece of the Mandelbrot Set); finding high accuracy estimates of the "Lorenz attractor" using "continuous analytic
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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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 MASTER Tools: Modeling And Simulation Tools for Education Reform  Shodor Education Foundation, Inc.
Interactive models and curricular materials, including: a galaxy simulation, fractal modelling tools, an energy minimization program using simulated annealing, biomedical and environmental models, a graphing tool with animation option, and a simulation
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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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 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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 Mathematical Art  Artpromote.com
A list of links to mathematical art and artists.
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 Mathematical Connections  Brian R. Sears
A collection of more than 20 wellknown problems (with solutions), and Sine Wave, a set of essays on "the aesthetic aspects of mathematics."
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 The Mathematical Explorer  Stan Wagon and Wolfram Research, Inc.
Based on Mathematica technology, The Mathematical Explorer mixes text, graphics, and formulas in an easytouse notebook interface, offering a set of explorations for investigating some of the most fascinating topics in mathematics, from Escher patterns
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 Mathematical Induction  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A brief discussion of mathematical induction, with proof, and other examples also proven by mathematical induction, including: Splitting piles; Continued Fractions; Linear Functions; Groups of Permutations; Inequality between arithmetic and geometric
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 Mathematical Interactivities  David Hellam
Interactive mathematical challenges, mostly written in Flash, covering number, algebra, data, shape, and space for K12 students. Site also includes a forum for teachers to discuss this sort of resource, its development, and its use in the classroom.
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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 Snippets  Mathematics Dept., Bellevue Community College, Bellevue, WA
Illustrated descriptions of six mathematical concepts: the Pythagorean Theorem, Archimedes' Tombstone, the Möbius Strip, the Koch Snowflake Curve, Plateau's Problem (minimal surfaces), and Counting to Infinity. Each snippet contains a very brief
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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 Archives  University of Tennessee, Knoxville (UTK)
A comprehensive site for finding mathematics on the Internet; particularly strong in its collection of educational software and links to other sites of interest to mathematicians that provide access to electronic journals, preprint services, grant information,
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 mathematics  art  nature  Anne Burns, Long Island University
Burns' gallery of "mathscapes" shows examples of mathematics used to create scenery. Experiment with her interactive Flash programs and applets: Möbius transformations; a Pythagorean tree; "algorithmic 'art'"; Lissajous curves; plants using string
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 Mathematics  Cornell Theory Center Math and Science Gateway
For secondary school students and educators. Links for general topics; geometry; fractals; history of mathematics; tables, constants & definitions; and mathematics software.
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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 Journals (AMS)  American Mathematical Society
A list of mathematics journals with articles on the Web and a list of Web sites for printed journals, with tables of contents of issues, abstracts of papers, actual papers, information about submissions and subscriptions, etc. See also the Annual Listing
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 Mathematics Journals: Electronic and Printed  Mathematics Dept., Penn State University
Links to dozens of journals, from the Academic press electronic journal library to the Ulam Quarterly, and spanning printed journals from Abstract and Applied Analysis to the Zentralblatt für Mathematik. See also Penn State's page of preprints.
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 Mathematics Teacher: Geometry Bibliography  Hubert Ludwig
Hubert Ludwig, a math professor at Ball State University, has compiled an index of all the geometryrelated articles that appeared in the Mathematics Teacher through 1996. This page provides the index of the archive, with links to the documents in the
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 Mathematik.com
Pages on topics in Mathematics: Gradus Suavitatis (Euler's music theory); Turing (input and output of a Turing machine); Billiard (Sinai billiard, a chaotic dynamical system); Abacus (the world's first computing system); Flexible Surface (the example
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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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 Math in Arcadia  Ivars Peterson (MathLand)
It's unusual to find mathematics in a play, and at a sophisticated level in a witty, fastpaced, popular romp... there was little time to savor the nuances of the mathematics and to ponder the deep questions about the nature of scientific discovery that
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 Math Lessons  Cynthia Lanius
A variety of algebraic and geometric projects and puzzles that help students find mathematical patterns and formulas. The Million $ Mission explores exponential growth, a Fractal Geometry Unit teaches the secrets of fractals, the Mathematics of Cartography
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 Math Models  Bathsheba Grossman
Using rapid prototyping to create her pieces, Grossman describes them as "3D meditations": metal sculptures, etched crystals, and prints of Menger sponges, Lorenz attractors, 4dimensional solids projected into 3space, and triply periodic minimal surfaces
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 Math Quilts  Rebecca Chaky
A showcase for quilters inspired by mathematical themes: geometry, perspective, topology, irrational numbers, feathered star, fractals, and tessellations and tiling, including Escher. Also a link to the Math Quilts Online Bookstore, a Reference Department,
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 MathsNet  Bryan Dye
MathsNet is a collection of pages about mathematics education, information technology, the Internet, and "some straightforward 'sums'." Tips and downloads for logo, spreadsheets and graphs, winlogo, excel, omnigraph, and graphing calculators such as the
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 Math software demos, freeware, shareware for IBM PCs  Math Forum
DYSyst, Euklid, Fractal Grafics, FractInt, IBP Math tools (unit conversions), Penrose, Polyray, Persistence of Vision (POVRay). Download zipped demos from the Math Forum archives. Read the Index for descriptions of these programs.
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 Maths Outdoors  Juliet Robertson
Blog posts from an education consultant "passionate about getting children outside." Posts on learning math outside with a kinesthetic emphasis, which date back to September, 2008, have included "Leaf Logic," "Investigating Right Angles with Sticks,"
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 Math WWW VL: Specialized Fields  Dept. of Mathematics, Florida State University
Links to sites for resources in specialized fields in collegelevel mathematics.
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 matthen  Matthew Henderson
"Things of interest in maths & science" created by a PhD candidate in Statistical Dialogue Systems who majored in mathematics as an undergraduate. Posts date back to March 2011, and routinely feature Henderson's original animated gifs: "Orbits around
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 Maxwell's Demon  Edmund Harriss
Harriss, a mathematician and artist of substitution tilings, tilings with a scaling symmetry like the Penrose Tiling, writes that "the major themes of this blog revolve around mathematics communication and mathematics art." His posts, which date back
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 Meddling in the Affairs of Infinity  Shohdy Nagib
How to use feedback between your video camera and your television set to produce "hypnotizing video effects" related to fractals. Site also available in Russian.
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