 Maps (Geometry and the Imagination)  Conway, Doyle, Gilman, Thurston; The Geometry Center
A map in the plane is a collection of vertices and edges (possibly curved) joining the vertices such that if you cut along the edges the plane falls apart into polygons. These polygons are called the faces. A map on the sphere or any other surface is
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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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 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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 Math and Science: Recommended Books (Natural Math)  Maria Droujkova and Dmitri Droujkov
An annotated list of books in alphabetical order by author, selected because they are pleasant to read, have valuable math or math education content, are respectful to students, and are accessible to a broad audience. Books may be purchased online through
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 Math Craft  Cory Poole, administrator
A community "dedicated to the exploration of mathematically inspired art and architecture through projects, community submissions, and inspirational posts." Share images, videos, and other resources on the corkboard; post questions to the forum. The blog
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 Mathemagic Activities  Cyberspace Middle School (CMS)/Larry Dennis, Florida State University.
Tricks based on simple mathematics, but which to those who don't understand the mathematics may seem magical. Since these tricks are based on mathematics, they are relatively easy to do and are pretty close to foolproof. Book recommendations and trick
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 Mathematica Courseware Catalog  Wolfram Research, Inc.
Developed as a resource for the academic community, the Mathematica Courseware Catalog is an evergrowing and broadranging collection of course materials that make significant use of Mathematica. Search by keyword or browse by subject: see, in particular,
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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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 The Mathematical Atlas: A Gateway to Modern Mathematics  Dave Rusin
A collection of short articles introducing the subject areas of modern mathematics, describing a few of the milestone results and topics, and giving pointers to some of the key resources where further information is to be found. The material is arranged
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 Mathematical Connections  Whittle, Luoma; Dept. of Learning Support, Augusta State University
"Exploring the Interplay Between Mathematics and the Humanities." A forum for exploring the interplay between mathematics and the humanities, including, but not limited to, the relationship between mathematics and the arts, anthropology, history, literature,
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 Mathematically Speaking
"Thoughts and ideas about mathematics in the media, popular views of mathematics, and being a mathematician." This college professor's posts, which date back to April, 2009, have included "Crocheting and Hyperbolic Space," "Topology and the Moore Method
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 Mathematical Publications  ZIB/MathNet
A page on electronic publishing in mathematics, with sections on mathematical journals and bibliographies, separated into references to Ejournals, General Journals and Bibliographies, and Subject Specific Journals and Bibliographies. Also Preprint Archives,
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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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 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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 Mathematical Visualization Resources  Daryl Hepting, University of Regina, Saskatchewan, Canada
Mathematical visualization is the art of creating tangible experiences with abstract mathematical objects and their transformations (Hanson et al.) This page provides a comprehensive web resource for mathematical visualization, including: Centres; People
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 The Mathematics and Origin of String Figures  Martin Probert
A mathematical analysis of string figures and their relation to knot theory (Cat's Cradle, Jacob's Ladder, etc.), comments on their history and origins, and original string figure designs by the author.
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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 Illuminated  Annenberg Media
A video course for adult learners, high school and college teachers; 13 halfhour video programs, online text, course guide, and Web site; graduate credit available. "Rather than a series of problems to be solved, mathematics is presented as play we engage
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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 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 Preprints  Mathematics Dept., Penn State University
Preprints: general (American Mathematical Society Preprints; Hypatia; xxx Eprint Archives; and the Front End for the xxx Mathematics Archive), and by subject area.
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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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 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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 Mathenomicon.net
Online mathematical reference, covering a wide range of topics (Algebra, Analysis & Calculus, Applied Mathematics, Discrete Mathematics, Foundations of Mathematics, Geometry, History & Biography, Language & Symbols, Number Theory, Probability & Statistics,
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 Math ePrint Archive  Dept. of Mathematics, Florida State University
Papers/abstracts to view and download (the files are in gzipped postscript
format) by members of the Mathematics Department at Florida State University. Papers are listed in reverse chronological order.
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 MathGuide  Lower Saxony State and University Library, Göttingen (SUB), Germany
An Internetbased subject gateway to scholarly relevant information in mathematics, with subject and source type catalogues, and a search engine. Resources are described and evaluated, new resources are continuously added, and already cataloged resources
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 Math Images  The Math Forum @ Drexel, the National Sciences Digital Library (NSDL), and Swarthmore College
The Math Images Project aims to
introduce the public to mathematics through beautiful and
intriguing images found throughout the fields of math. The
images feature resources around the mathematics of the images,
including discussions, applets, and
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 Mathlinks.info  Ronald N. Gibson, M.D.
A portal to mathematics resources on the internet; links to collegelevel mathematics sites, categorized.
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 Math Mutation  Erik Seligman
These "show notes" accompany a short podcast of the same name that explores "fun, interesting, or just plain weird corners of mathematics that you probably didn't hear in school." Posts, which date back to December, 2011, have included "Flat People Give
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 Mathology  Il portale della matematica  Nicolò Martini
Articles about algebra, analysis, calculus, topology, metamathematics, number theory, etc. In Italian.
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 Math Professor Quotes
Blog of "the absurd things math professors say." Submit your own teacher's quirky headscratchers, or browse the collective archive, which dates back to July, 2012.
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 Math Puzzle of the Week  Ed Pegg, Jr.
A site that celebrates math puzzles and mathematical recreations. Ed Pegg is a twentyyear member of the National Puzzler's League, and frequently contributes to the New York Times crossword, Games magazine, and National Public Radio's Sunday Puzzler.
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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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 Math  Science Search
Science Search is a directory for scientific topics, including this subsection of Math. Individual entries include description, category, and a user rating of the site.
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 MathSource  Wolfram Research
An extensive electronic library of Mathematica material and notebooks, with over 100,000 pages of immediately accessible Mathematica programs, documents, examples, and more. You may browse the archive or search by author, title, keyword, or item number.
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 Math That Makes You Go Wow  A MultiDisciplinary Exploration of NonOrientable Surfaces  Boittin, Callahan, Goldberg, Remes
A Web course intended for inclusion as a short segment in a late middle school or early high school math course and designed to convey the beauty and fascination of such mathematical objects as the sphere, the torus, the Klein bottle, the Mobius band,
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 MathWorld: Eric Weisstein's World of Mathematics  Eric W. Weisstein and Wolfram Research, Inc.
A fulltext searchable, comprehensive alphabetical encyclopedia of math terms, equations, and derivations, with explanations, examples, references, and much more. Everything from Abacus to Zsigmondy Theorem. (Formerly the CRC Concise Encyclopedia of Mathematics,
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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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 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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 Maze Design  Adrian Fisher
What's new in the maze world? The latest maze news, plus general maze information: Tessellations & Tiling Patterns; 1998 Dragon Maize Mazes; World's Best Mazes for families to visit; World Maze Database (all the mazes on Earth, country by country);
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 Maze Page  Jo Edkins
A page that illustrates the four main groups of unicursal mazes or labyrinths: mazes with a single path to the centre and no branches. This is the oldest form of maze, with examples all round the world. Contents include What are Mazes For?; A maze design
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 Möbius and his Band  Ivars Peterson (MathTrek)
A Möbius band (or strip) is a surface with only one side and one edge. You can make one by joining the two ends of a long strip of paper after giving one end a 180degree twist. An article about a geometrical theory of polyhedra; Euler's formula
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 Möbius in the Playground  Ivars Peterson (MathTrek)
Many people are familiar with the remarkable onesided surface known as the Moebius band. You can easily make one by gluing or taping together the two ends of a long strip of paper after giving one end a half twist... At the Sugar Sand Science Playground
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 MERLOT Mathematics Portal  MERLOT (Multimedia Educational Resource for Learning and Online Teaching)
Free highereducation online teaching materials, and a user community centered around those materials. Free registration allows users to create, contribute, collect, and comment on resources, or become a peer reviewer or guest speaker. The site offers
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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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 Mirror Puzzles  Erich's Puzzle Palace; Erich Friedman
Each square in the grids shown contains either a person lost in the hall of mirrors, or a diagonal mirror. The numbers at the sides of the square indicate how many people can be seen from that location when looking either horizontally or vertically. The
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