Geometry

Archimedes' Book of Lemmas - A collection of all 15 propositions from Archimedes' Book of Lemmas with complete proofs, each accompanied by a Java illustration.
www.cut-the-knot.org/Curriculum/Geometry/BookOfLemmas/index.shtml

Bette Veteto's Homepage - History of Mathematics, very strong on geometry.
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.
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.
www.geocities.com/kiranisingh/center.html

The Complete Quadrilateral - Several properties of the complete quadrilateral illustrated with Java applets
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.
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.
www.btinternet.com/~se16/js/cuboid.htm

Cut the Knot - Features articles about specific problems, illusions, and puzzles. Includes diagrams.
www.cut-the-knot.org/geometry.shtml

Encyclopedia of Triangle Centers - By Clark Kimberling. Over 1000 triangle centres in a searchable compilation with diagrams.
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.
www.neubert.net/

Erich's Packing Center - Graphics and links for various packing, tiling and covering problems.
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.
polly.phys.msu.ru/~belyaev/geometry.htm

A Gallery of Interactive On-Line Geometry - At the Geometry Center.
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.
www.math.ucsb.edu/~jon.mccammond/geogrouptheory/

Geometry Activities - By Ephraim Fithian.
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.
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.
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.
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.
agutie.homestead.com/

Geometry in Action - Includes collections from various areas in which ideas from discrete and computational geometry meet real world applications.
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.
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.
www.cut-the-knot.com/geometry.html

GLaD Comments - A new type of geometric construction that was discovered by Dan Litchfield and David Goldenheim. Includes general explanation and sketch examples.
jwilson.coe.uga.edu/Texts.Folder/GLaD/GLaD.Comments.html

The Kepler Conjecture - Information on the recent proof of Kepler conjecture on sphere packings.
www.math.pitt.edu/~thales/kepler98/

The Lepidoptera of the Circles - The Butterfly theorem and its generalizations illustrated by Java applets.
www.cut-the-knot.org/ctk/Lepidoptera.shtml

Math 3210 - Higher Geometry I - Course notes by Bill Cherowitzo.
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.
mathforum.org/powgrepform.html

Math Forum: Geometry.research - Discussion board for geometry professors and instructors to keep informed of the latest research.
mathforum.org/kb/forum.jspa=3fforumID=3d130

Math Forum: Search geometry-forum - Those interested in examining the previous incarnation of the Math Forum may search the archives of the Geometry Forum.
mathforum.org/kb/forum.jspa=3fforumID=3d126

Mathematical Curves and Surfaces - Graphical representations of computer generated forms. (French/English).
perso.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'.
www.cut-the-knot.com/triangle/Morley/index.html

New Mathematical Findings by Secondary Students - High school students solve complex geometric problems by using GLad Sketchpad. Page includes diagrams.
www.javeriana.edu.co/universitas_scientiarum/vol6n2/ART1.htm

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.
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.
hydra.nat.uni-magdeburg.de/packing/packing.html

Problem of the Minimum Rotation Surface - Java applet demonstrating the catenary.
home.ural.ru/~iagsoft/PMRS_J.html

Tim Lister's Hyperbolic Geometry - Cabri constructions for the demonstration of the basic concepts of hyperbolic geometry in the Poincare disc model.
mcs.open.ac.uk/tcl2/nonE/nonE.html

Wilson Stothers' Inversive Geometry and CabriJava Pages - Includes Steiner's Porism and the arbelos.
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.
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] <small>(March 13, 2005)</small>
www.npr.org/templates/story/story.php=3fstoryId=3d4531695