 Geometric Topology (The Geometry Junkyard)  David Eppstein, Theory Group, ICS, UC Irvine
An extensive annotated list of links to material in an area of mathematics that concerns the assignment of geometric structures to topological spaces, so
that they "look like" geometric spaces. For instance, compact twodimensional surfaces can have
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 Geometry and the Imagination  Conway, Doyle, Gilman, Thurston; The Geometry Center
A collection of handouts for a twoweek summer workshop entitled 'Geometry and the Imagination', led by John Conway, Peter Doyle, Jane Gilman and Bill Thurston at the Geometry Center in Minneapolis, June 1728, 1991. The workshop was based on a course
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 Geometry and Topology Journal  Mathematics Institute, University of Warwick
A fully refereed international journal, published in free electronic format and a paper version, dealing with all aspects of geometry and topology and their applications. The site offers main journal papers (in PostScript and PDF formats), research monographs,
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 Geometry and Topology: Recent Papers 19891993  Univ. of Melbourne, Australia
A bibliography of eprints from the Dept. of Mathematics and Statistics, Univ. of Melbourne, Australia.
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 Geometry  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
More than 95 games or puzzles having to do with geometry, chaos, fractals, and topology with extensive discussions and solutions. Most require a browser capable of displaying JavaScript or Java.
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 The Geometry Junkyard  David Eppstein, Theory Group, ICS, Univ. of California at Irvine
A collection of usenet clippings, web pointers, lecture notes, research excerpts, papers, abstracts, programs, problems, and other stuff related to discrete and computational geometry  some serious and much also entertaining. Junk sorted into piles (Topics):
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 Geometry Web Page  Ephraim Fithian; Kutztown University
Sixteen geometry activities: Tangrams; Golden Ratio; Geoboard; Polygons; Symmetry; Constructions; Polyominoes and Polyiamonds; Star Polygons; Special Points in Polygons; Polygon Tessellations; Kaleidoscope Tessellations; Escher Tessellations; Space Cubes;
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 Glossary  Interactive Mathematics Miscellany and Puzzles, Alexander Bogomolny
A glossary of terms that also serves as an alphabetical index to Bogomolny's site. Each term is linked to an illustrated essay.
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 Graphics Archive  The Geometry Center
General interest images of an artistic nature, or of general interest to the public, including fractals, digital art, etc.; Special Topics  images created during research projects at the Geometry Center; Video Productions  images from videos produced
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 The Greatest Math Teacher Ever  Keith Devlin (Devlin's Angle)
An article about the individual who, Devlin suggests, could justifiably be described as the American university mathematician who, through his teaching, has
had the greatest impact on the field of mathematics... He was a pioneer in one of the most important
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 GT Geometric Topology (Front for the Mathematics ArXiv)  Univ. of California, Davis
Geometric Topology preprints, from the U.C. Davis front end for the xxx.lanl.gov ePrint archive, a major site for mathematics preprints that has incorporated many formerly independent specialist archives. Search by keyword or browse by topic.
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 HAKMEM  Beeler, Gosper, Schroeppel; Artificial Intelligence Laboratory, MIT
A list of math and computerrelated problems, unsolved in 1972 when the list originated, compiled "with the hope that a record of the random things people do around here can save some duplication of effort  except for fun." Topics include: Geometry,
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 Handson Math: Activities for the Elementary Classroom  Janine Parker
Lesson plans for children in grades one through six about topology, number patterns, and geometry. Handouts for each lesson may be downloaded in PostScript form or as GIF files, and a zipped DOS program to display Platonic solids, Archimedean solids,
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 Henry Segerman's webpages  Henry Segerman
Mathematical and typographical art "of various kinds and dimensions." See, in particular, Segerman's 3D printed sculpture, book covers and posters, diamond Go, ambigrams, autologlyphs, autological words, Escher's Printgallery, and mathart tshirts available
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 Hilbert's Building Blocks  Robert J. Krawczyk
Investigating space curves to construct 3D forms. Work in 2D with Hilbert curves, spirolaterals, space filling curves, and recursive designs used as a springboard for generating and interpreting space curves.
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 Homepage of Torsten Sillke  Torsten Sillke
A collection of puzzles statements, with references, on a variety of topics: operations research, such as crossing the bridge; logic, including liars and truth tellers, mastermind, and age problems; lateral thinking, also known as "situation puzzles";
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 Hopf Topology Archive  Clarence Wilkerson, Dept. of Mathematics, Purdue University
The Hopf archive contains freely available articles and preprints as dvi, ps, text, or lj.gz files. Some short abstracts and a search engine are included, as well as pictures of topologists and some useful links concerning topology.
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 How to Knit a Moebius Band (Geometry and the Imagination)  Conway, Doyle, Gilman, Thurston; The Geometry Center
Directions for using two colors to knit a band that can be cut apart into a Moebius strip, expanded by Maria IanoFletcher from an original recipe by Miles Reid.
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 hyperbolic surfaces  Gabriele E. Meyer
Photos of Meyer's fiber arts: Seifert surfaces, Poincaré disks, and other hyperbolic surfaces knit from yarn. For more of her fabric sculptures, visit http://www.math.wisc.edu/~meyer/airsculpt/hyperbolic1.html. Meyer, a lecturer in the Department
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 Hyperspace Structures: Exploring the Fourth Dimension  Burbanks, Beardmore
Mpeg Movies and pictures illustrate: 1. The Hypercube: a 4 dimensional analogue of the cube. Details of its construction, along with movies of a spinning hypercube. 2. An "Inflated Hypercube": approximating the hypersphere. 3. Hypertorus: Adding together
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 Illustrated 4D Computer Graphics  Kirby Urner, 4D Solutions
Curriculum Concepts from the Fuller School. Primitive topologies: nonEuclidean definitions of points, lines, planes as nonzero, parameterized entities, with light affecting properties in ray traced views; Concentric hierarchy: a reference frame relating
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 Images and Mathematics (Mathematics Archives)  University of Tennessee, Knoxville (UTK)
A large collection of images based on or related to mathematical principles, many purely mathematical abstractions, such as fractals; others of natural objects whose shape is explained by equations and mathematical models (for example, a drum vibrating).
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 Immersed in Klein Bottles  Ivars Peterson (MathTrek)
"Need a zerovolume bottle? Searching for a onesided surface? Want the ultimate in nonorientability?" The intriguing subject of these cryptic entreaties is a bizarre mathematical object known as a Klein bottle, discovered in 1882 by German mathematician
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 Index Using Mathematics Subject Classification (MSC)  Dave Rusin; The Mathematical Atlas
The index pages at this site are organized according to the Mathematics Subject Classification (MSC) scheme. (This is the scheme developed by the American Mathematical Society and Zentralblatt für Mathematik.) General headings include Foundations;
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 Interactive Mathematics Miscellany and Puzzles  Alexander Bogomolny
"The peculiar beauty of Mathematics lies in deduction, in the dependency of one fact upon another. The less expected a dependency is, the simpler the facts on which the deduction is based  the more beautiful is the result." This awardwinning site offers
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 Interactive Real Analysis  Bert G. Wachsmuth
Interactive Real Analysis is an online, interactive textbook for Real Analysis or Advanced Calculus in one real variable. Organized into the topics of sets and relations, infinity and induction, sequences of numbers, topology, continuity and differentiation,
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 International Snow Sculpture Championships: Team Minnesota  Department of Mathematics and Computer Science, Macalester College
Team Minnesota's Enneper surface entry earned second place in the Breckenridge International Snow Sculpture Championships of 2000. The site also includes photos of their planning, design, and implementation stages, the acceptance speech, and the team's
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 Introductory Algebra, Topology, and Category Theory  Martin Dowd
This selfpublished advanced undergraduate algebra text is currently the only text available which covers such a wide range of material in a single volume. It is ideally suited for a number of uses, including as a supplementary text for any undergraduate
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 Investigating Patterns: Number Patterns Fun with Curves & Topology  Jill Britton
Annotated list of links within various number pattern, curve, and topology topics. Linked items feature activities for students. Topics include: prime numbers/magic squares, clock or modular arithmetic, the golden ratio, Fibonacci numbers, binary numbers/Pascal's
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 Is Mathematical Teaching a Function of Time?  Andrej and Elena Cherkaev, eds.
A page of math humor, including definitions, anecdotes, math education jokes, theorems, puns, limerics, and links.
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 Is Space Finite?  Luminet, Starkman, Weeks, Scientific American
Conventional wisdom says the universe is infinite. But it could be finite, merely giving the illusion of infinity. Upcoming measurements may finally answer this ancient question. Subtopics include: Comfort in the Finite; Eightfold; Cosmic Crystals; and
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 Jeremy Kun
Primers, galleries of computer programs and math proofs, and more befitting "a place for elegant solutions." Kun, a mathematics PhD student at the University of Illinois in Chicago with a background in computer science, has also blogged since September,
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 Jim Loy's Puzzle Page  Jim Loy
This is a group of number, geometry, and logic puzzles with solutions, including "The Missing Dollar," "The Monty Hall Trap," and comments on the Tower of Hanoi.
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 John Taylor's Home Page  John Taylor; University of Brighton
Taylor's other activities include Maple generated animations: vary gradients or intercepts in equations for a straight line, change coefficients of quadratic curves or cubic curves, draw tangents to conics, model a nondifferentiable surface, and construct
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 Jon Kleinberg's Homepage  Jon Kleinberg, Department of Computer Science, Cornell University
Read Kleinberg's research on algorithms that exploit the combinatorial structure of networks and information. His work includes techniques for analyzing and modeling link structure in the World Wide Web and related information networks; discrete optimization
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 Journal Homepages  Kluwer Academic Publishers
A search page for finding journals published by Kluwer Academic Publishers. Each includes past, present, and future article listings, aims and scope, and submission and subscription information. Search the complete catalogue by keyword or view journals
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 The Kids Zone Magazine
A magazine for kids, by kids, promoting interactive literacy by merging new technology with book reading and writing. For mazes to print and solve, see the Puzzle Zone.
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 The Klein Project
Revisiting the intent of Felix Klein's Elementary Mathematics from an Advanced Standpoint on the centenary of its publication, this IMU/ICMIcommissioned project aims to produce a book for upper secondary teachers that communicates the breadth and vitality
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 Knot a Braid of Links (CAMEL)  Canadian Mathematical Electronic Information Services
Mathematics on the Web: a collection of mathematical Links of the Week from 1996 on, with a new one every week. Maintained by CAMEL at Simon Fraser University.
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 KrazyDad.com  Jim Bumgardner
Printable puzzles, mazes, games, and more from a selfdescribed "senior nerd" at Disney Interactive Labs: kakuro (aka cross sums, numeric crossword puzzles), krypto kakuro (a combination of kakuro and cryptograms), slitherlink, bridges (aka Hashiwokakero),
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 La pagina della classificazione matematica: MSC2000 librerie Hvolumi  Antonella De Robbio, Alberto Marini, Dario Maguolo
Italian version of Mathematics Subject Classification version 2000 (MSC2000); different points of views, with a comparison of MSC1991 and MSC2000. Includes a description of the project, links to relevant pages, and a preprint of "La versione Draft2000
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 La Petite Galerie du CRM  Centre de Recherches Mathématiques
A gallery of the research activities from the CRM. Contour plotting in Java  available in both French and English; also A Collision of Two KdV Solitons, L'avion Aurora, Montréal vue de l'espace, Fusion de données, Signatures radars et infrarouges
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 Liz's Research Interests  Liz Bradley, Department of Computer Science, University of Colorado
Artificial intelligence projects include Chaography, a pair of tools that use mathematics to generate choreographic variations: Chaographer, which uses a chaotic mapping to generate variations on a musical piece; and MotionMind, which uses machine learning
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 MAA Bookstore  Mathematical Association of America
A searchable list of books, with descriptions, in the following categories: Algebra; Analysis; Applied Mathematics; Calculus; Career Information; Computing and Computers; Elementary Models; Games, Puzzles, and Popular Exposition; Geometry and Topology;
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 Macsyma  Macsyma, Inc.
Publishers of advanced symbolic/numerical/graphical mathematical software and PDEase finite element analysis software. Macsyma is a combination of mathematics program, graphics software and text processor, with advanced graphics and animation, fast calculations,
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 The Magical Maze: The Natural World and the Mathematical Mind  Prof. Ian Stewart; Mathematics Dept., University of Warwick, UK
At every step in a mathematical investigation you are faced with choices: some choices lead in fruitful directions, most do not. So mathematics is a maze  a logical maze, a mental maze which attempts to parallel the maze of cause and effect that we observe
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 The MagicMazes at CONK! Hard Maze  Don Dodson
Mazes randomly generated on the fly for you to print out and solve. Reloading the page instantly produces a new maze. An easier maze is also available.
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 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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