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Geometry

Categories

Algebraic Geometry (99)
Computational Geometry (71)
Differential Geometry (24)
Education (3)
Events (52)
Higher Dimensional (9)

Non-Euclidean (9)
Open Problems (4)
People (38)
Plane Geometry (6)
Polytopes (53)
Projective (8)

Publications (22)
Research Groups (9)
Sculpture and Art (17)
Software (29)
Solid Geometry (3)
Topology (6)

Web Pages

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A Gallery of Interactive On-Line Geometry - http://www.geom.uiuc.edu/apps/gallery.html
At the Geometry Center.

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.

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.

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.

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.

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

Encyclopedia of Triangle Centers - http://faculty.evansville.edu/ck6/encyclopedia/
By Clark Kimberling. Over 1000 triangle centres in a searchable compilation with diagrams.

Erich's Packing Center - http://www.stetson.edu/~efriedma/packing.html
Graphics and links for various packing, tiling and covering problems.

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.

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.

Geometry Activities - http://homepage.mac.com/efithian/geometry.html
By Ephraim Fithian.

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.

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 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.

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.

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.

Geometry/Topology at Michigan State University - http://www.math.msu.edu/gt/
Activities of the geometry/topology group at Michigan State University.

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.

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.

Math 3210 - Higher Geometry I - http://www-math.cudenver.edu/~wcherowi/courses/m3210/m3210.html
Course notes by Bill Cherowitzo.

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.

Mathematical Curves and Surfaces - http://pagesperso-orange.fr/roger.assouly/
Graphical representations of computer generated forms. (French/English).

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'.

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.

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 mathematicians talk with NPR's Jacki Lyden about hyperbolic crocheting. [4:47 streaming audio broadcast]

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.

Paul Bourke's Geometry Page - http://astronomy.swin.edu.au/~pbourke/geometry/
Includes formulas, definitions and three dimensional image illustrations.

Polyedergarten - http://www.polyedergarten.de
Shows paper models of polyhedra.

Problem of the Minimum Rotation Surface - http://home.imm.uran.ru/iagsoft/PMRS_J.html
Java applet demonstrating the catenary.

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.

Steiner Surfaces - http://www.ipfw.edu/math/Coffman/steinersurface.html
Mathematical descriptions and ray-traced images of various types of Steiner surfaces.

The Complete Quadrilateral - http://www.cut-the-knot.org/ctk/CompleteQuadrilateral.shtml
Several properties of the complete quadrilateral illustrated with Java applets

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.

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.

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

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

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.

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.

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.

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