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Open Directory: Science: Math: Geometry



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    Archimedes' Book of Lemmas    *Archimedes' Book of Lemmas  www.cut-the-knot.org/Curriculum/Geometry/BookOfLemmas/index.shtml
    A collection of all 15 propositions from Archimedes' Book of Lemmas with complete proofs, each accompanied by a Java illustration.

    Bette Veteto's Homepage    *Bette Veteto's Homepage  www.people.memphis.edu/~brveteto
    History of Mathematics, very strong on geometry.

    Bob's Pages    *Bob's Pages  members.ozemail.com.au/~llan
    A collection of interactive geometry applets. Topics include polyhedra, Poncelet's porism, Soddy's hexlet, Mandelbrot set, Steiner porism, Pappus's chain, Repulsion polyhedra and stereo pictures.

    The Complete Quadrilateral    *The Complete Quadrilateral  www.cut-the-knot.org/ctk/CompleteQuadrilateral.shtml
    Several properties of the complete quadrilateral illustrated with Java applets

    Conjectures Produced by the Program Graffiti    *Conjectures Produced by the Program Graffiti  cms.dt.uh.edu/faculty/delavinae/research/wowref.htm
    Graffiti is a computer program that makes conjectures in mathematics and chemistry. Links to the conjectures and bibliography.

    Cuboid and Cube Surface Distances    *Cuboid and Cube Surface Distances  www.btinternet.com/~se16/js/cuboid.htm
    A java applet with substantial analysis related to distances on a rectangular box.

    Cut the Knot    *Cut the Knot  www.cut-the-knot.org/geometry.shtml
    Features articles about specific problems, illusions, and puzzles. Includes diagrams.

    Encyclopedia of Triangle Centers    *Encyclopedia of Triangle Centers  faculty.evansville.edu/ck6/encyclopedia
    By Clark Kimberling. Over 1000 triangle centres in a searchable compilation with diagrams.

    The Entropy Reduction Laboratory by Karl-Dietrich Neubert    *The Entropy Reduction Laboratory by Karl-Dietrich Neubert  www.neubert.net
    Discusses double shell structured periodic systems, platonic spheres, molecular and crystal structures, and FlashSort algorithms.

    Erich's Packing Center    *Erich's Packing Center  www.stetson.edu/~efriedma/packing.html
    Graphics and links for various packing, tiling and covering problems.

    Fundamentals of Geometry    *Fundamentals of Geometry  polly.phys.msu.ru/~belyaev/geometry.htm
    Free online book on geometry in pdf format. Contains material not easily found elsewhere from detailed exposition of elementary absolute geometry based on Hilbert's axioms to more advanced topics.

    A Gallery of Interactive On-Line Geometry    *A Gallery of Interactive On-Line Geometry  www.geom.uiuc.edu/apps/gallery.html
    At the Geometry Center.

    Geometric Group Theory    *Geometric Group Theory  www.math.ucsb.edu/~jon.mccammond/geogrouptheory
    Information and resources about geometric group theory and low-dimensional topology. People, groups, meetings, links.

    Geometry Activities    *Geometry Activities  homepage.mac.com/efithian/geometry.html
    By Ephraim Fithian.

    Geometry and the Imagination in Minneapolis    *Geometry and the Imagination in Minneapolis  www.geom.uiuc.edu/docs/doyle/mpls/handouts/handouts.html
    Geometry exercises for a two-week summer workshop led by John Conway, Peter Doyle, Jane Gilman and Bill Thurston at the Geometry Center in Minneapolis, June 1991.

    Geometry Center    *Geometry Center  www.geom.uiuc.edu
    Web site for the (now closed) Center for the Computation and Visualization of Geometric Structures at the University of Minnesota. Graphics, multimedia, software, teaching resources.

    Geometry Formulas and Facts    *Geometry Formulas and Facts  www.geom.uiuc.edu/docs/reference/CRC-formulas
    Excerpts from the 30th Edition of the CRC Standard Mathematical Tables and Formulas (1995), namely, the geometry section minus differential geometry.

    Geometry from the Land of the Incas    *Geometry from the Land of the Incas  agutie.homestead.com
    Presents problems involving circles and triangles, with proofs, SAT practice quizzes and famous quotes. Also, has examples of geometry in Peruvian culture.

    Geometry in Action    *Geometry in Action  www.ics.uci.edu/~eppstein/geom.html
    Includes collections from various areas in which ideas from discrete and computational geometry meet real world applications.

    The Geometry Junkyard    *The Geometry Junkyard  www.ics.uci.edu/~eppstein/junkyard
    Usenet clippings, web pointers, lecture notes, research excerpts, papers, abstracts, programs, problems, and other stuff related to discrete and computational geometry.

    Geometry Page from Interactive Mathematics Miscellany    *Geometry Page from Interactive Mathematics Miscellany  www.cut-the-knot.com/geometry.html
    Includes articles on topics in elementary and not so elementary geometry, many with interactive Java illustrations and multiple proofs.

    Geometry/Topology at Michigan State University    *Geometry/Topology at Michigan State University  www.math.msu.edu/gt
    Activities of the geometry/topology group at Michigan State University.

    GLaD Comments    *GLaD Comments  jwilson.coe.uga.edu/Texts.Folder/GLaD/GLaD.Comments.html
    A new type of geometric construction that was discovered by Dan Litchfield and David Goldenheim. Includes general explanation and sketch examples.

    Go Geometry    *Go Geometry  www.gogeometry.com
    Offers a variety of resources for teaching and learning about geometry. Problems and theorems are presented with step-by-step solutions for each proof.

    The Kepler Conjecture    *The Kepler Conjecture  www.math.pitt.edu/~thales/kepler98
    Information on the recent proof of Kepler conjecture on sphere packings.

    The Lepidoptera of the Circles    *The Lepidoptera of the Circles  www.cut-the-knot.org/ctk/Lepidoptera.shtml
    The Butterfly theorem and its generalizations illustrated by Java applets.

    Math 3210 - Higher Geometry I    *Math 3210 - Higher Geometry I  www-math.cudenver.edu/~wcherowi/courses/m3210/m3210.html
    Course notes by Bill Cherowitzo.

    Math Forum: Geometry.research    *Math Forum: Geometry.research  mathforum.org/kb/forum.jspa?forumID=130
    Discussion board for geometry professors and instructors to keep informed of the latest research.

    Math Forum: Search geometry-forum    *Math Forum: Search geometry-forum  mathforum.org/kb/forum.jspa?forumID=126
    Those interested in examining the previous incarnation of the Math Forum may search the archives of the Geometry Forum.

    Mathematical Curves and Surfaces    *Mathematical Curves and Surfaces  pagesperso-orange.fr/roger.assouly
    Graphical representations of computer generated forms. (French/English).

    Morley's Miracle    *Morley's Miracle  www.cut-the-knot.com/triangle/Morley/index.html
    A discussion of Morley's famous theorem and the research of which it was a tiny part. 5 proofs are given including J. Conway's, D. Newman's, and A. Connes'.

    New Mathematical Findings by Secondary Students    *New Mathematical Findings by Secondary Students  www.javeriana.edu.co/universitas_scientiarum/universitas_docs/vol6n2/A…
    High school students solve complex geometric problems by using GLad Sketchpad. Page includes diagrams.

    Packomania    *Packomania  hydra.nat.uni-magdeburg.de/packing/packing.html
    Includes packings of equal objects in containers together with source codes to obtain them numerically.

    Paul Bourke's Geometry Page    *Paul Bourke's Geometry Page  astronomy.swin.edu.au/~pbourke/geometry
    Includes formulas, definitions and three dimensional image illustrations.

    Polyedergarten    *Polyedergarten  www.polyedergarten.de
    Shows paper models of polyhedra.

    Problem of the Minimum Rotation Surface    *Problem of the Minimum Rotation Surface  home.imm.uran.ru/iagsoft/PMRS_J.html
    Java applet demonstrating the catenary.

    Sangaku: Reflections on the Phenomenon    *Sangaku: Reflections on the Phenomenon  www.cut-the-knot.org/pythagoras/Sangaku.shtml
    Critical reflections on the sangaku phenomenon accompanied by a collection of solved sangaku problems, many with interactive Java illustrations.

    Steiner Surfaces    *Steiner Surfaces  www.ipfw.edu/math/Coffman/steinersurface.html
    Mathematical descriptions and ray-traced images of various types of Steiner surfaces.

    Tim Lister's Hyperbolic Geometry    *Tim Lister's Hyperbolic Geometry  mcs.open.ac.uk/tcl2/nonE/nonE.html
    Cabri constructions for the demonstration of the basic concepts of hyperbolic geometry in the Poincare disc model.

    Wilson Stothers' Inversive Geometry and CabriJava Pages    *Wilson Stothers' Inversive Geometry and CabriJava Pages  www.maths.gla.ac.uk/~wilson/cabripages/inversive/inversive0.html
    Includes Steiner's Porism and the arbelos.

    Xah's Personal Page    *Xah's Personal Page  xahlee.org/PageTwo_dir/more.html
    Features an illustrated dictionary of special plane curves, a paper on wallpaper groups, mathematics image gallery and links to software packages.

    NPR : Mathematicians Get Crafty with Geometry    *NPR : Mathematicians Get Crafty with Geometry  www.npr.org/templates/story/story.php?storyId=4531695
    A husband and wife from Cornell University have come up with a crafty way to illustrate high-level geometry concepts -- by manipulating yarn into models that help explain the curvature of spaces. The mathematicians talk with NPR's Jacki Lyden about hyperbolic crocheting. [4:47 streaming audio broadcast] (March 13, 2005)


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