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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.
  • Bette Veteto's Homepage - History of Mathematics, very strong on geometry.
  • 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.
  • 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.
  • The Complete Quadrilateral - Several properties of the complete quadrilateral illustrated with Java applets
  • Conjectures Produced by the Program Graffiti - Graffiti is a computer program that makes conjectures in mathematics and chemistry. Links to the conjectures and bibliography.
  • Cuboid and Cube Surface Distances - A java applet with substantial analysis related to distances on a rectangular box.
  • Cut the Knot - Features articles about specific problems, illusions, and puzzles. Includes diagrams.
  • Encyclopedia of Triangle Centers - By Clark Kimberling. Over 1000 triangle centres in a searchable compilation with diagrams.
  • The Entropy Reduction Laboratory by Karl-Dietrich Neubert - Discusses double shell structured periodic systems, platonic spheres, molecular and crystal structures, and FlashSort algorithms.
  • Erich's Packing Center - Graphics and links for various packing, tiling and covering problems.
  • 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.
  • A Gallery of Interactive On-Line Geometry - At the Geometry Center.
  • Geometric Group Theory - Information and resources about geometric group theory and low-dimensional topology. People, groups, meetings, links.
  • Geometry Activities - By Ephraim Fithian.
  • 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.
  • 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.
  • 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.
  • 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.
  • Geometry in Action - Includes collections from various areas in which ideas from discrete and computational geometry meet real world applications.
  • The Geometry 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 - 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 - Activities of the geometry/topology group at Michigan State University.
  • GLaD Comments - A new type of geometric construction that was discovered by Dan Litchfield and David Goldenheim. Includes general explanation and sketch examples.
  • 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.
  • The Kepler Conjecture - Information on the recent proof of Kepler conjecture on sphere packings.
  • The Lepidoptera of the Circles - The Butterfly theorem and its generalizations illustrated by Java applets.
  • Math 3210 - Higher Geometry I - Course notes by Bill Cherowitzo.
  • 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.
  • Math Forum: Geometry.research - Discussion board for geometry professors and instructors to keep informed of the latest research.
  • Math Forum: Search geometry-forum - Those interested in examining the previous incarnation of the Math Forum may search the archives of the Geometry Forum.
  • Mathematical Curves and Surfaces - Graphical representations of computer generated forms. (French/English).
  • 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'.
  • New Mathematical Findings by Secondary Students - High school students solve complex geometric problems by using GLad Sketchpad. Page includes diagrams.
  • Packomania - Includes packings of equal objects in containers together with source codes to obtain them numerically.
  • Paul Bourke's Geometry Page - Includes formulas, definitions and three dimensional image illustrations.
  • Polyedergarten - Shows paper models of polyhedra.
  • Problem of the Minimum Rotation Surface - Java applet demonstrating the catenary.
  • Sangaku: Reflections on the Phenomenon - Critical reflections on the sangaku phenomenon accompanied by a collection of solved sangaku problems, many with interactive Java illustrations.
  • Steiner Surfaces - Mathematical descriptions and ray-traced images of various types of Steiner surfaces.
  • Tim Lister's Hyperbolic Geometry - Cabri constructions for the demonstration of the basic concepts of hyperbolic geometry in the Poincare disc model.
  • Wilson Stothers' Inversive Geometry and CabriJava Pages - Includes Steiner's Porism and the arbelos.
  • 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.

  • 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)
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