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Topia!: Science: Math: Geometry (484)
See Also:
Problem of the Minimum Rotation Surface - Java applet demonstrating the catenary. The Geometry Forum - An electronic community focused on geometry and math education based at Swarthmore college. Geometry in Action - This page collects various areas in which ideas from discrete and computational geometry meet some 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. Erich's Packing Center - Graphics and links for various packing, tiling and covering problems. Fibonacci Numbers and the Golden Section - This is the Home page for the Fibonacci numbers, the Golden section and the Golden string. Department of Computing School of Electronic Engineering, IT and Mathematics, University of Surrey, UK. Tim Lister's Hyperbolic Geometry - Cabri constructions for the demonstration of the basic concepts of hyperbolic geometry in the Poincare disc model. Manipula Math with Java - Java applets demonstrating many geometrical and other theorems Bette Veteto's Homepage - History of Mathematics, very strong on geometry. Steiner Surfaces - Mathematical descriptions and ray-traced images of every type of Steiner surface Mathematical Surfaces - A collection of parametric and implicit equations. The Educational Validity of Visual Geometry - Ph.D. thesis of Marius Blok (Hull, UK, 1998). 'Educational Geometry' is based on visual geometry, linked to philosophy and visual art and the learning is free of the application of formulae or the use of computations. 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. Wilson Stothers' Inversive Geometry and CabriJava Pages - A page on inversive geometry with CabriJava illustrations. Includes Steiner's Porism and the arbelos. Colin and Greg's Golden Ratio Page - This is an informative site on an interesting aspect of Geometry: The Golden Ratio. Geometry in a Triangle - A lot of classic constructions in the triangle. And more non-classic. Free. Applet and programs for Windows, Mac OS9 and Mac OSX. Allexperts Geometry Q&A - Volunteer tutors help you work through your geometry problems for free. ArXiv Front: MG Metric Geometry - Metric geometry section of the mathematics e-print arXiv. On the Fourth Dimension - Concepts of the fourth dimension explained simply. The Geometry of the Sphere - This material was the text for part of the Advanced Mathematics course in the High School Teachers Program at the IAS/Park City Mathematics Institute at the Institute for Advanced Study during July of 1996. The Math Forum's K-12 Geometry - Select classroom materials for geometry teachers and students, software for geometry, interactive geometry classroom resources, Internet projects, selected geometry elsewhere on the Internet, and public forums for discussing geometry. 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. Xah: Visual Dictionary of Special Plane Curves - A Visual Dictionary of Special Plane Curves with graphics. GLaD: Introduction - A historical introduction to a new Euclidean construction by David Goldenheim and Daniel Litchfield. Dynamic Geometer's Sketchpad files are included. Intensified Geometry Curriculum Review - A comprehensive, illustrated review of concepts covered in an Intensified Geometry textbook/class. A Gallery of Interactive On-Line Geometry - At the Geometry Center. GeomNet - Family of geometric computing servers execute a variety of geometric algorithms on behalf of remote clients, which can be either users interacting through a Web browser interface or application programs connecting directly through sockets. Diamond Theory - Plato tells how Socrates helped Meno's slave boy "remember" the geometry of a diamond. Twenty-four centuries later, this geometry has a new theorem. ArXiv Front: SG Symplectic Geometry - Symplectic geometry section of the mathematics e-print arXiv. 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. Packomania - This site collects the best known packings of equal objects in containers together with source codes to obtain them numerically. Math 3210 - Higher Geometry I - Course notes by Bill Cherowitzo. Cuboid and Cube Surface Distances - A java applet with substantial analysis related to distances on a rectangular box. Wallpaper Groups - Images and descriptions of the 17 plane symmetry groups. Geometry Page from Interactive Mathematics Miscellany - More than 120 articles on topics in elementary and not so elementary geometry, many with interactive Java illustrations and multiple proofs. 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. Menelaus' Theorem and its Applications - Theorems involving Menelaus' theorem and some applications of Menelaus' theorem to geometry problems. 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'. Math Forum: Search geometry-research - Geometry professors and instructors may keep informed of the latest research conducted in their field at the geometry-research discussion list. Math Forum: Search geometry-forum - Those interested in examining the previous incarnation of the Math Forum may search the archives of the Geometry Forum. Geometry Activities - By Ephraim Fithian. 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. Paul Bourke's Geometry Page - Includes formulas, definitions and three dimensional image illustrations. 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. Thinkquest Library's Geometry Page - Covers rules for angles, right triangles and plane figures. Also, has a trigonometry section. Mathematical Curves and Surfaces - Graphical representations of computer generated forms. (French/English). 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. 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. The Entropy Reduction Laboratory by Karl-Dietrich Neubert - Discusses double shell structured periodic systems, platonic spheres, molecular and crystal structures, and FlashSort algorithms. Occurrence of the Conics - Images of conics by Jill Britton. Conjectures Produced by the Program Graffiti - Graffiti is a computer program that makes conjectures in mathematics and chemistry. Links to the conjectures and bibliography. Geometric Group Theory - Information and resources about geometric group theory and low-dimensional topology. People, groups, meetings, links. Geometry Machine - 3D virtual reality geometrical images of vectors, lines and planes. Needs a VRML viewer or plugin such as live3D. The 4th Dimension - Visual and mathematical descriptions of higher dimensional objects, with Java applets for displaying and rotating images such as Steiner surfaces, Klein bottles, and minimal surfaces. Trigonometric Delights - Full text of the book by Eli Maor. [PDF] Encyclopedia of Triangle Centers - By Clark Kimberling. Over 1000 triangle centres in a searchable compilation with diagrams. Pythagorean Theorem - A collection of 43 proofs - some interactive - of the Pythagorean theorem.
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