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  Geometry - World catalog

Contents  > Science  > Math  > Geometry

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      Archimedes' Book of Lemmas
      A collection of all 15 propositions from Archimedes' Book of Lemmas with complete proofs, each accompanied by a Java illustration.
      http://www.cut-the-knot.org/Curriculum/Geometry/BookOfLemmas/index.shtml
      Bette Veteto's Homepage
      History of Mathematics, very strong on geometry.
      http://www.people.memphis.edu/~brveteto/
      Bob's Pages
      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.
      http://members.ozemail.com.au/~llan/
      Center of Points in 2- or Higher-dimensional Space
      It provides important formulations for finding a center of points in 2 or higher dimensional space. It can be used in drawing delauney triagulation and voronoi diagram in two or higher dimensions. It also describes how many points are required in defining a center in n-dimensional space.
      http://www.geocities.com/kiranisingh/center.html
      The Complete Quadrilateral
      Several properties of the complete quadrilateral illustrated with Java applets
      http://www.cut-the-knot.org/ctk/CompleteQuadrilateral.shtml
      Conjectures Produced by the Program Graffiti
      Graffiti is a computer program that makes conjectures in mathematics and chemistry. Links to the conjectures and bibliography.
      http://cms.dt.uh.edu/faculty/delavinae/research/wowref.htm
      Cuboid and Cube Surface Distances
      A java applet with substantial analysis related to distances on a rectangular box.
      http://www.btinternet.com/~se16/js/cuboid.htm
      Cut the Knot
      Features articles about specific problems, illusions, and puzzles. Includes diagrams.
      http://www.cut-the-knot.org/geometry.shtml
      Encyclopedia of Triangle Centers
      By Clark Kimberling. Over 1000 triangle centres in a searchable compilation with diagrams.
      http://faculty.evansville.edu/ck6/encyclopedia/
      The Entropy Reduction Laboratory by Karl-Dietrich Neubert
      Discusses double shell structured periodic systems, platonic spheres, molecular and crystal structures, and FlashSort algorithms.
      http://www.neubert.net/
      Erich's Packing Center
      Graphics and links for various packing, tiling and covering problems.
      http://www.stetson.edu/~efriedma/packing.html
      Fundamentals of Geometry
      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.
      http://polly.phys.msu.ru/~belyaev/geometry.htm
      A Gallery of Interactive On-Line Geometry
      At the Geometry Center.
      http://www.geom.uiuc.edu/apps/gallery.html
      Geometric Group Theory
      Information and resources about geometric group theory and low-dimensional topology. People, groups, meetings, links.
      http://www.math.ucsb.edu/~jon.mccammond/geogrouptheory/
      Geometry Activities
      By Ephraim Fithian.
      http://homepage.mac.com/efithian/geometry.html
      Geometry and the Imagination in Minneapolis
      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.
      http://www.geom.uiuc.edu/docs/doyle/mpls/handouts/handouts.html
      Geometry Center
      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.
      http://www.geom.uiuc.edu/
      Geometry Formulas and Facts
      Excerpts from the 30th Edition of the CRC Standard Mathematical Tables and Formulas (1995), namely, the geometry section minus differential geometry.
      http://www.geom.uiuc.edu/docs/reference/CRC-formulas/
      Geometry from the Land of the Incas
      Presents problems involving circles and triangles, with proofs, SAT practice quizzes and famous quotes. Also, has examples of geometry in Peruvian culture.
      http://agutie.homestead.com/
      Geometry in Action
      Includes collections from various areas in which ideas from discrete and computational geometry meet real world applications.
      http://www.ics.uci.edu/~eppstein/geom.html
      The Geometry Junkyard
      Usenet clippings, web pointers, lecture notes, research excerpts, papers, abstracts, programs, problems, and other stuff related to discrete and computational geometry.
      http://www.ics.uci.edu/~eppstein/junkyard/
      Geometry Page from Interactive Mathematics Miscellany
      Includes articles on topics in elementary and not so elementary geometry, many with interactive Java illustrations and multiple proofs.
      http://www.cut-the-knot.com/geometry.html
      Geometry/Topology at Michigan State University
      Activities of the geometry/topology group at Michigan State University.
      http://www.math.msu.edu/gt/
      GLaD Comments
      A new type of geometric construction that was discovered by Dan Litchfield and David Goldenheim. Includes general explanation and sketch examples.
      http://jwilson.coe.uga.edu/Texts.Folder/GLaD/GLaD.Comments.html
      Go Geometry
      Offers a variety of resources for teaching and learning about geometry. Problems and theorems are presented with step-by-step solutions for each proof.
      http://www.gogeometry.com
      The Kepler Conjecture
      Information on the recent proof of Kepler conjecture on sphere packings.
      http://www.math.pitt.edu/~thales/kepler98/
      The Lepidoptera of the Circles
      The Butterfly theorem and its generalizations illustrated by Java applets.
      http://www.cut-the-knot.org/ctk/Lepidoptera.shtml
      Math 3210 - Higher Geometry I
      Course notes by Bill Cherowitzo.
      http://www-math.cudenver.edu/~wcherowi/courses/m3210/m3210.html
      Math Forum: Geometry POW/POM Search
      Search the Geometry Problem of the Week's archive of creative, non-routine challenges, as well as submissions and commentary, dating back to 1993.
      http://mathforum.org/powgrepform.html
      Math Forum: Geometry.research
      Discussion board for geometry professors and instructors to keep informed of the latest research.
      http://mathforum.org/kb/forum.jspa?forumID=130
      Math Forum: Search geometry-forum
      Those interested in examining the previous incarnation of the Math Forum may search the archives of the Geometry Forum.
      http://mathforum.org/kb/forum.jspa?forumID=126
      Mathematical Curves and Surfaces
      Graphical representations of computer generated forms. (French/English).
      http://pagesperso-orange.fr/roger.assouly/
      Morley's Miracle
      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'.
      http://www.cut-the-knot.com/triangle/Morley/index.html
      A New Way to Calculate a Triangle's Area
      Using the length of the three sides. The proof is better understood than the old one.
      http://hometown.aol.com/tienchien/myhomepage/find_triangle_area.html
      Packomania
      Includes packings of equal objects in containers together with source codes to obtain them numerically.
      http://hydra.nat.uni-magdeburg.de/packing/packing.html
      Paul Bourke's Geometry Page
      Includes formulas, definitions and three dimensional image illustrations.
      http://astronomy.swin.edu.au/~pbourke/geometry/
      Polyedergarten
      Shows paper models of polyhedra.
      http://www.polyedergarten.de
      Sangaku: Reflections on the Phenomenon
      Critical reflections on the sangaku phenomenon accompanied by a collection of solved sangaku problems, many with interactive Java illustrations.
      http://www.cut-the-knot.org/pythagoras/Sangaku.shtml
      Steiner Surfaces
      Mathematical descriptions and ray-traced images of various types of Steiner surfaces.
      http://www.ipfw.edu/math/Coffman/steinersurface.html
      Tim Lister's Hyperbolic Geometry
      Cabri constructions for the demonstration of the basic concepts of hyperbolic geometry in the Poincare disc model.
      http://mcs.open.ac.uk/tcl2/nonE/nonE.html
      Wilson Stothers' Inversive Geometry and CabriJava Pages
      Includes Steiner's Porism and the arbelos.
      http://www.maths.gla.ac.uk/~wilson/cabripages/inversive/inversive0.html
      Xah's Personal Page
      Features an illustrated dictionary of special plane curves, a paper on wallpaper groups, mathematics image gallery and links to software packages.
      http://xahlee.org/PageTwo_dir/more.html

      NPR : Mathematicians Get Crafty with Geometry
      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 mathemeticians talk with NPR's Jacki Lyden about hyperbolic crocheting. [4:47 streaming audio broadcast] (March 13, 2005)
      http://www.npr.org/templates/story/story.php?storyId=4531695

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