Open Directory - Science: Math: Geometry
See also: This category in other languages: - At the Geometry Center. - A collection of all 15 propositions from Archimedes' Book of Lemmas with complete proofs, each accompanied by a Java illustration. - 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. - Graffiti is a computer program that makes conjectures in mathematics and chemistry. Links to the conjectures and bibliography. - A java applet with substantial analysis related to distances on a rectangular box. - Features articles about specific problems, illusions, and puzzles. Includes diagrams. - By Clark Kimberling. Over 1000 triangle centres in a searchable compilation with diagrams. - Graphics and links for various packing, tiling and covering problems. - 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 new type of geometric construction that was discovered by Dan Litchfield and David Goldenheim. Includes general explanation and sketch examples. - Information and resources about geometric group theory and low-dimensional topology. People, groups, meetings, links. - By Ephraim Fithian. - 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. - Excerpts from the 30th Edition of the CRC Standard Mathematical Tables and Formulas (1995), namely, the geometry section minus differential geometry. - Includes articles on topics in elementary and not so elementary geometry, many with interactive Java illustrations and multiple proofs. - 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. - Presents problems involving circles and triangles, with proofs, SAT practice quizzes and famous quotes. Also, has examples of geometry in Peruvian culture. - Includes collections from various areas in which ideas from discrete and computational geometry meet real world applications. - Activities of the geometry/topology group at Michigan State University. - Offers a variety of resources for teaching and learning about geometry. Problems and theorems are presented with step-by-step solutions for each proof. - Discussion board for geometry professors and instructors to keep informed of the latest research. - Those interested in examining the previous incarnation of the Math Forum may search the archives of the Geometry Forum. - Graphical representations of computer generated forms. (French/English). - 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'. - High school students solve complex geometric problems by using GLad Sketchpad. Page includes diagrams. - Includes packings of equal objects in containers together with source codes to obtain them numerically. - Includes formulas, definitions and three dimensional image illustrations. - Shows paper models of polyhedra. - Java applet demonstrating the catenary. - Critical reflections on the sangaku phenomenon accompanied by a collection of solved sangaku problems, many with interactive Java illustrations. - Mathematical descriptions and ray-traced images of various types of Steiner surfaces. - Several properties of the complete quadrilateral illustrated with Java applets - Discusses double shell structured periodic systems, platonic spheres, molecular and crystal structures, and FlashSort algorithms. - Usenet clippings, web pointers, lecture notes, research excerpts, papers, abstracts, programs, problems, and other stuff related to discrete and computational geometry. - Information on the recent proof of Kepler conjecture on sphere packings. - The Butterfly theorem and its generalizations illustrated by Java applets. - Cabri constructions for the demonstration of the basic concepts of hyperbolic geometry in the Poincare disc model. - Includes Steiner's Porism and the arbelos. - Features an illustrated dictionary of special plane curves, a paper on wallpaper groups, mathematics image gallery and links to software packages. - 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)