Geometry

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• Geometry in Action - http://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 - http://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.
• Erich's Packing Center - http://www.stetson.edu/~efriedma/packing.html
• Graphics and links for various packing, tiling and covering problems.
• Tim Lister's Hyperbolic Geometry - http://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.
• Bette Veteto's Homepage - http://www.people.memphis.edu/~brveteto/
• History of Mathematics, very strong on geometry.
• Bob's Pages - http://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.
• Wilson Stothers' Inversive Geometry and CabriJava Pages - http://www.maths.gla.ac.uk/~wilson/cabripages/inversive/inversive0.html
• Includes Steiner's Porism and the arbelos.
• Packomania - http://hydra.nat.uni-magdeburg.de/packing/packing.html
• Includes packings of equal objects in containers together with source codes to obtain them numerically.
• Math 3210 - Higher Geometry I - http://www-math.cudenver.edu/~wcherowi/courses/m3210/m3210.html
• Course notes by Bill Cherowitzo.
• Cuboid and Cube Surface Distances - http://www.btinternet.com/~se16/js/cuboid.htm
• A java applet with substantial analysis related to distances on a rectangular box.
• Geometry Page from Interactive Mathematics Miscellany - http://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.
• Morley's Miracle - http://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'.
• Geometry Activities - http://homepage.mac.com/efithian/geometry.html
• By Ephraim Fithian.
• Center of Points in 2- or Higher-dimensional Space - http://www.geocities.com/kiranisingh/center.html
• 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.
• Xah's Personal Page - http://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.
• Geometry from the Land of the Incas - http://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.
• The Entropy Reduction Laboratory by Karl-Dietrich Neubert - http://www.neubert.net/
• Discusses double shell structured periodic systems, platonic spheres, molecular and crystal structures, and FlashSort algorithms.
• Conjectures Produced by the Program Graffiti - http://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.
• Geometric Group Theory - http://www.math.ucsb.edu/~jon.mccammond/geogrouptheory/
• Information and resources about geometric group theory and low-dimensional topology. People, groups, meetings, links.
• Encyclopedia of Triangle Centers - http://faculty.evansville.edu/ck6/encyclopedia/
• By Clark Kimberling. Over 1000 triangle centres in a searchable compilation with diagrams.
• Math Forum: Geometry POW/POM Search - http://mathforum.org/powgrepform.html
• Search the Geometry Problem of the Week's archive of creative, non-routine challenges, as well as submissions and commentary, dating back to 1993.
• Geometry Center - http://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 - http://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 and the Imagination in Minneapolis - http://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.
• A Gallery of Interactive On-Line Geometry - http://www.geom.uiuc.edu/apps/gallery.html
• At the Geometry Center.
• The Kepler Conjecture - http://www.math.pitt.edu/~thales/kepler98/
• Information on the recent proof of Kepler conjecture on sphere packings.
• Fundamentals of Geometry - http://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 New Way to Calculate a Triangle's Area - http://hometown.aol.com/tienchien/myhomepage/find_triangle_area.html
• Using the length of the three sides. The proof is better understood than the old one.
• GLaD Comments - http://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.
• NPR : Mathematicians Get Crafty with Geometry - http://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 mathemeticians talk with NPR's Jacki Lyden about hyperbolic crocheting. [4:47 streaming audio broadcast]
• The Complete Quadrilateral - http://www.cut-the-knot.org/ctk/completequadrilateral.shtml
• Several properties of the complete quadrilateral illustrated with Java applets
• The Lepidoptera of the Circles - http://www.cut-the-knot.org/ctk/lepidoptera.shtml
• The Butterfly theorem and its generalizations illustrated by Java applets.
• Archimedes' Book of Lemmas - http://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.
• Math Forum: Geometry.research - http://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 - http://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.
• Cut the Knot - http://www.cut-the-knot.org/geometry.shtml
• Features articles about specific problems, illusions, and puzzles. Includes diagrams.
• Mathematical Curves and Surfaces - http://pagesperso-orange.fr/roger.assouly/
• Graphical representations of computer generated forms. (French/English).
• Paul Bourke's Geometry Page - http://astronomy.swin.edu.au/~pbourke/geometry/
• Includes formulas, definitions and three dimensional image illustrations.
• Steiner Surfaces - http://www.ipfw.edu/math/coffman/steinersurface.html
• Mathematical descriptions and ray-traced images of various types of Steiner surfaces.
• Sangaku: Reflections on the Phenomenon - http://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.
• Geometry/Topology at Michigan State University - http://www.math.msu.edu/gt/
• Activities of the geometry/topology group at Michigan State University.
• Go Geometry - http://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.
• Polyedergarten - http://www.polyedergarten.de
• Shows paper models of polyhedra.
• New Mathematical Findings by Secondary Students - http://www.javeriana.edu.co/universitas_scientiarum/universitas_docs/vol6n2/art1.htm
• High school students solve complex geometric problems by using GLad Sketchpad. Page includes diagrams.
• Problem of the Minimum Rotation Surface - http://home.imm.uran.ru/iagsoft/pmrs_j.html
• Java applet demonstrating the catenary.