1. Geometry In Action Includes collections from various areas in which ideas from discrete and computational geometry meet real world applications. http://www.ics.uci.edu/~eppstein/geom.html

This page collects various areas in which ideas from discrete and computational geometry (meaning mainly low-dimensional Euclidean geometry) meet some real world applications. It contains brief descriptions of those applications and the geometric questions arising from them, as well as pointers to web pages on the applications themselves and on their geometric connections. This is largely organized by application but some major general techniques are also listed as topics. Suggestions for other applications and pointers are welcome. Geometric references and techniques General geometric references Related applications pages Patents in geometric applications Constraint solving ... Delaunay triangulations , and medial axes Design and manufacturing Architecture Assembly planning Computer aided design Computer aided manufacturing ... VLSI design Graphics and visualization Computer graphics Graph drawing Virtual reality Video game programming Information systems Cartography and geographic information systems Data mining and multidimensional analysis Medicine and biology Biochemical modeling Biology Medical imaging Sequence alignment Physical sciences Astronomy Molecular modeling Scientific computation Robotics Computer vision Grasp planning Robot motion planning Other applications Character recognition Compiler design Control theory Signal processing ... UC Irvine Last update: 14 Jan 2001, 09:34:01 PST

2. Coolmath4kids - Geometry Fun math related puzzles and problems! Cool geometry stuff! Great for kids, big kids and really big kids! Teachers too! One of my favorites things about geometry is that it's like doing art with http://www.coolmath4kids.com/geometrystuff.html

This site is FREE thanks to our generous sponsors: One of my favorites things about geometry is that it's like doing art with math. - These are my two favorite things! Polyhedra Gallery Lessons: Tessellations What Does Congruent Mean? Interior Angles of Regular Polygons HELP SUPPORT COOLMATH link to us make a donation sponsorships text link advertising ... ScienceMonster.com Thanks for visiting Coolmath4kids!

3. ThinkQuest : Library : Interactive Mathematics Online geometry. Euclid have you stumped? Archimedes run rings around your head find almost everything you'll ever need to know about geometry. We have a special page on constructions http://library.thinkquest.org/2647/geometry/geometry.htm

Index Math Interactive Mathematics Online This mathematics site has tutorials in Algebra and Trigonometry and a very extensive section about Geometry. It also includes a lot of information about programming with Java, Chaos Theory, and fractal generation (Mandelbrot and Julia sets). There is even some software for creating stereograms, those three dimensional pictures that can only be seen inside your brain. Visit Site 1996 ThinkQuest Internet Challenge Awards GEM Languages English Students David Seaford High School, Seaford, DE, United States Amay Seaford High School, Seaford, DE, United States Jaime Seaford High School, Seaford, DE, United States Coaches Thomas Seaford High School, Salisbury, MD, United States Want to build a ThinkQuest site? The ThinkQuest site above is one of thousands of educational web sites built by students from around the world. Click here to learn how you can build a ThinkQuest site. Privacy Policy

4. The Geometry Junkyard clippings, web pointers, lecture notes, research excerpts, papers, abstracts, programs, problems, and other stuff related to discrete and computational geometry http://www.ics.uci.edu/~eppstein/junkyard/

These pages contain usenet clippings, web pointers, lecture notes, research excerpts, papers, abstracts, programs, problems, and other stuff related to discrete and computational geometry. Some of it is quite serious, but I hope much of it is also entertaining. The main criteria for adding something here are that it be geometrical (obviously) and that it not fit into my other geometry page, Geometry in Action , which is more devoted to applications and less to pure math. I also have another page on non-geometrical recreational math Junk sorted into piles All the junk in one big pile New junk ... UC Irvine Semi-automatically filtered from a common source file. Last update: 03 Jun 2004, 16:46:29 PDT.

5. Sacred Geometry Home Page Sacred geometry is an ancient art and science which reveals the nature of our relationship to the cosmos. Its study unfolds the principle of oneness underlying all creation in its myriad expression, and leads us inevitably to the perspective of interconnectedness, inseparability and union. http://www.intent.com/sg/

Sacred Geometry Home Page by Bruce Rawles In nature, we find patterns, designs and structures from the most minuscule particles, to expressions of life discernible by human eyes, to the greater cosmos. These inevitably follow geometrical archetypes, which reveal to us the nature of each form and its vibrational resonances. They are also symbolic of the underlying metaphysical principle of the inseparable relationship of the part to the whole. It is this principle of oneness underlying all geometry that permeates the architecture of all form in its myriad diversity. This principle of interconnectedness, inseparability and union provides us with a continuous reminder of our relationship to the whole, a blueprint for the mind to the sacred foundation of all things created. The Sphere (charcoal sketch of a sphere by Nancy Rawles) Starting with what may be the simplest and most perfect of forms, the sphere is an ultimate expression of unity, completeness, and integrity. There is no point of view given greater or lesser importance, and all points on the surface are equally accessible and regarded by the center from which all originate. Atoms, cells, seeds, planets, and globular star systems all echo the spherical paradigm of total inclusion, acceptance, simultaneous potential and fruition, the macrocosm and microcosm. The Circle The circle is a two-dimensional shadow of the sphere which is regarded throughout cultural history as an icon of the ineffable oneness; the indivisible fulfillment of the Universe. All other symbols and geometries reflect various aspects of the profound and consummate perfection of the circle, sphere and other higher dimensional forms of these we might imagine.

6. Geometry Facts about geometry illustrated by using online interactive lessons, exercises, practice and games for grades K8 These pages teach geometry facts covered in K8 math courses. Each page has an explanation, interactive practice and challenge games about geometry. geometry Facts and Calculations http://www.aaamath.com/geo.html

Geometry These pages teach geometry facts covered in K8 math courses. Each page has an explanation, interactive practice and challenge games about geometry. Geometry Facts and Calculations Polygons Polygons II Classifying Triangles by Angles Classifying Triangles by Sides ... Finding the Fourth Angle of a Quadrilateral Area Area of a Square Area of a Rectangle Area of a Parallelogram Area of a Trapezoid ... Area of a Circle Perimeter and Circumference Perimeter of a Square Perimeter of a Rectangle Perimeter of a Parallelogram Circumference of a Circle Surface Area Surface Area of a Cube Surface Area of a Rectangular Prism Surface Area of a Cylinder Volume Volume of a Cube Volume of a Rectangular Prism Volume of a Triangular Prism Volume of a Cone ... Learning Aids Grade School Levels: Kindergarten First Second Third ... World Levels Arithmetic Topics: Addition Algebra Comparing Counting ... Subtraction

7. Geometry Basic geometry terms and help. Brought to you by Math League Multimedia. geometry. Basic terms. Angles and angle terms http://www.mathleague.com/help/geometry/geometry.htm

Geometry Basic terms Angles and angle terms Figures and polygons Area and perimeter ... Math Contests School League Competitions Contest Problem Books Challenging, fun math practice Educational Software Comprehensive Learning Tools Visit the Math League This page may not be mirrored or reproduced on any other internet site. Last updated March 2001 by Mark Motyka.

8. Geometry And Topology A fully refereed international journal dealing with all aspects of geometry and topology and their http://www.maths.warwick.ac.uk/gt/

9. Mathematics Archives - Topics In Mathematics - Geometry Topics in Mathematics. geometry. Alice Meets the 4th Dimension. ADD. KEYWORDS Four Dimensional Cube. AMS's Materials Organized by Mathematical Subject Classification. ADD. KEYWORDS Electronic Journals, Preprints, Web Sites, Databases Examples, Animations, 3D geometry, Loci, Conics, Hyperbolic geometry. SOURCE Cabri http://archives.math.utk.edu/topics/geometry.html

Topics in Mathematics Geometry Alice Meets the 4th Dimension ADD. KEYWORDS: Four Dimensional Cube AMS's Materials Organized by Mathematical Subject Classification ADD. KEYWORDS: Electronic Journals, Preprints, Web Sites, Databases AskERIC Lesson Plans - Geometry Border Pattern Gallery ADD. KEYWORDS: Symmetry Cabri Java Project ADD. KEYWORDS: Examples, Animations, 3D geometry, Loci, Conics, Hyperbolic Geometry SOURCE: TECHNOLOGY: Java applets ADD. KEYWORDS: Cabri Geometry resources Cercle d'Euler ADD. KEYWORDS: Euler Circles, Malfatti Circles, Poncelet Triangles, Morley Triangles, Podaires Triangles, Fermat Points, Feuerbach Points, Nagel Points, Gergonne Points Combinatorial Tiling Theory: Theorems - Algorithms - Visualization ADD. KEYWORDS: Two Dimensional Tilings, Three Dimensional Tilings, Face-Transitive Tilings, Periodic Delone Tilings, Orbifold Graphs, Classification of 3-Dimensional Tilings, Tiling Space by Platonic Solids, Enumeration of Polyhedral Crystal Structures The Computation of Certain Numbers Using a Ruler and Compass ADD. KEYWORDS:

10. E-zgeometry.com For high school teachers and students. Products include an interactive textbook, class video clips, projects, glossary, and resource links. http://www.e-zgeometry.com/

Geometry Projects, Geometry Links, Glencoe Geometry Textbook Notes, Geometry Glossary, High School Geometry Project Ideas, Interactive Geometry Experiences, Geometer's Sketchpad Applets, Geometry Video Footage and much more

11. A Gallery Of Interactive On-Line Geometry Gallery of Interactive geometry In order to enjoy this exhibit, you will need a Web browser theorem in terms of projective geometry includes an interactive application that lets http://www.geom.umn.edu/apps/gallery.html

Register: Tell Us What You Think Up: The Geometry Center Home Page Gallery of Interactive Geometry: In order to enjoy this exhibit, you will need a Web browser that understands graphical Fill-Out Forms. See our list of browsers for more information. WebPisces This web-based interface to the Pisces program allows you to compute implicitly defined curves in the plane. You can choose from several pre-defined functions, and can modify their parameters and domains. Build a Rainbow How are rainbows formed? Why do they only occur when the sun is behind the observer? If the sun is low on the horizon, at what angle in the sky should we expect to see a rainbow? This laboratory, developed as part of the University of Minnesota Calculus Initiative , helps to answer these and other questions by examining a mathematical model of light passing through a water droplet. QuasiTiler Generate the famous Penrose tilings, or design your own nonperiodic tilings of the plane. In the process, you can select and visualize plane cross-sections of a lattice in anywhere from 3 up to 13 dimensions! Kali Kali-Jot (with free-hand drawing, for X Mosaic only)

12. Math Forum - Geometry Problem Of The Week A weekly interactive project for geometry on the Internet. Challenging problems are posted and solutions appear on the Web. Next geometry PoWWow May 23. http://mathforum.org/geopow/

Latest Solution Past Archives Become a Mentor 2003-04 Calendar ... Print This Problem A Tangent Square and Circle - posted May 24, 2004 The square and circle below are tangent at one point and meet at four other points, as shown. If the side of the square is 8 units long, what's the radius of the circle? Extra: Solve the problem another way. This problem was suggested by Reza Kassai, one of our mentors. NOTE: When you get to the page where you enter your answer, please check a box to let us know what level of mentoring you want. Submit your answer to "A Tangent Square and Circle" OR Get help with "A Tangent Square and Circle" If you are under 13, you must have permission from your parent or teacher to participate in this web project. You will be asked to provide the email address of your parent or teacher when you register. At any time, parents or teachers may request that we remove personal information by writing to removal@mathforum.org or by contacting us via postal mail or telephone (800-756-7823 x80950). Math Forum Home Math Library Quick Reference Math Forum Search ... geopow@mathforum.org

13. Course Information Lecture notes by Alain Connes. http://www.math.ohio-state.edu/connes/Connes_course.html

Noncommutative Geometry, Trace Formulas and the Zeros of the Riemann Zeta Function Abstract In this course we first give a general introduction to noncommutative geometry. We then discuss a fundamental example of noncommutative space related to the Riemann zeta function. This gives a spectral interpretation of the critical zeros of the Riemann zeta function as an absorption spectrum, while the noncritical zeros appear as resonances, and a geometric interpretation of the explicit formulas of number theory as a trace formula on a noncommutative space. This reduces the Riemann hypothesis to the validity of the trace formula, which remains unproved, and eliminates the parameter of our previous approach. Topics Introduction to noncommutative geometry Quantum chaos and the hypothetical Riemann flow. Algebraic geometry and global fields of nonzero characteristic. Spectral interpretation of critical zeros. The distribution trace formula for flows on manifolds. The action of K on K for a local field. The global case, and the formal trace computation. The trace formula and S -units.

14. Math Forum - Geometry Problem Of The Week A weekly interactive project for geometry on the Internet. Challenging problems are posted and solutions appear on the Web. Mentor Matching. Pricing Guide. Next geometry PoWWow May 23 http://mathforum.com/geopow

Latest Solution Past Archives Become a Mentor 2003-04 Calendar ... Print This Problem A Tangent Square and Circle - posted May 24, 2004 The square and circle below are tangent at one point and meet at four other points, as shown. If the side of the square is 8 units long, what's the radius of the circle? Extra: Solve the problem another way. This problem was suggested by Reza Kassai, one of our mentors. NOTE: When you get to the page where you enter your answer, please check a box to let us know what level of mentoring you want. Submit your answer to "A Tangent Square and Circle" OR Get help with "A Tangent Square and Circle" If you are under 13, you must have permission from your parent or teacher to participate in this web project. You will be asked to provide the email address of your parent or teacher when you register. At any time, parents or teachers may request that we remove personal information by writing to removal@mathforum.org or by contacting us via postal mail or telephone (800-756-7823 x80950). Math Forum Home Math Library Quick Reference Math Forum Search ... geopow@mathforum.org

15. The Geometry Center Welcome Page Note The geometry Center is now closed. Read about the details here. WebEQ Do not miss it! About the geometry Center geometry Center Web Resources http://www.geom.uiuc.edu/

Note: The Geometry Center is now closed. Read about the details here WebEQ is a suite of Java programs for putting math on the web using MathML. Includes an equation editor, tex translator, and Java APIs. Science comes alive at ScienceU ! Create beautiful symmetries, manipulate 3D solids, explore a virtual Solar System, and much, much more in this brand new site.. Do not miss it! About the Geometry Center Geometry Center Web Resources: Teaching resources at COMAP Current Projects what's hot at the Center Interactive Web and Java Applications math you can manipulate Multimedia Documents hypertext papers, preprints, forum Geometry Reference Archive graphic images, formulas Downloadable Software source, binaries, documentation Video Productions descriptions, clips, ordering info Course Materials lab materials, student work MnSCU/UM Distance Learning Initiative resources for new teachers. Search the Geometry Center Web Pages What Was New at the Geometry Center (as of 26 March 1998) Overview of the Geometry Center Web Visit our Awards Gallery Geometry Center Events: Workshops Seminars , and Courses Access to Other Web Sites Comments to: webmaster@www.geom.uiuc.edu

16. Directory Of Computational Geometry Software Up geometry Center Downloadable Software Directory of Computational geometry Software. Up geometry Center Downloadable Software http://www.geom.uiuc.edu/software/cglist/

Up: Geometry Center Downloadable Software Directory of Computational Geometry Software This page contains a list of computational geometry programs and packages. If you have, or know of, any others, please send me mail . I'm also interested in tools, like arithmetic or linear algebra packages. I have made no attempt to determine the quality of any of these programs, and their inclusion here should not be seen as any kind of recommendation or endorsement. But I am interested in hearing about your experiences with them. Nina Amenta , Collector Contents What's new? Collections Arbitrary dimensional convex hull, Voronoi diagram, Delaunay triangulation Low dimensional convex hull, Voronoi diagram, Delaunay triangulation ... Wish list! Other related algorithmic Web sites: comp.graphics.algorithms FAQ BSP tree FAQ Linear programming FAQ Robert Schneiders' Mesh generation page The computer vision source code page, off the CMU computer vision home page . The home page has lots of pointers to related areas like pattern recognition and robotics, which also have interesting software. Georg Sander's list of graph drawing software Eric Haines' and Nick Fotis' list of computer graphics ftp sites More sites of computational geometric interest: Jeff Erickson's computational geometry page The Carleton computational geometry resource guide David Eppstein's Geometry in Action page, listing applications of computational geometry, and his fascinating

17. Books By Jean-Pierre Demailly Book by JeanPierre Demailly in PostScript. http://www-fourier.ujf-grenoble.fr/~demailly/books.html

Books by Jean-Pierre Demailly (last update: November 10, 2000) Complex analytic and algebraic geometry I just got cancelled a stupid agreement I signed long ago with a publisher. This means that my book will soon be available as an "OpenContent Book", i.e. that you can get the source file for free and do whatever you like with it on the web (print it, spread it, modify it, etc...) except claiming that you are the author! At the moment, it is still not completely achieved and the TeX file is not polished enough. Instead, here is a (compressed) PostScript file of the current version: agbook.ps.gz

18. The Geometry Junkyard The geometry Junkyard Site is filled with all geometryrelated links. Some of the linked sites are scholarly, some are more whimsical. Very comprehensive coverage. Users can browse concepts http://rdre1.inktomi.com/click?u=http://www.ics.uci.edu/~eppstein/junkyard/&

19. [physics/9709045] An Introduction To Noncommutative Geometry A set of lecture notes by Joseph C. Varilly on noncommutative geometry and its applications in physics. http://arxiv.org/abs/physics/9709045

Physics, abstract physics/9709045 From: "Joseph C. Varilly" [ view email ] Date: Tue, 30 Sep 1997 22:38:08 GMT (91kb) An Introduction to Noncommutative Geometry Authors: Joseph C. Varilly Comments: 85 pages, Plain TeX, lectures at EMS Summer School on NCG and Applications, Sept 1997 Report-no: UCR-FM-12-97 Subj-class: Mathematical Physics; Differential Geometry; Quantum Algebra These are lecture notes for a course given at the Summer School on Noncommutative Geometry and Applications, sponsored by the European Mathematical Society, at Monsaraz and Lisboa, Portugal, September 1-10, 1997. 1. Commutative geometry from the noncommutative point of view. 2. Spectral triples on the Riemann sphere. 3. Real spectral triples, the axiomatic foundation. 4. Geometries on the noncommutative torus. 5. The noncommutative integral. 6. Quantization and the tangent groupoid. 7. Equivalence of geometries. 8. Action functionals. Full-text: PostScript PDF , or Other formats References and citations for this submission: CiteBase (autonomous citation navigation and analysis) Which authors of this paper are endorsers?

20. ThinkQuest : Library : Introduction To Geometry Introduction to geometry. Welcome to the Introduction to geometry! This site includes 4 Lessons, each divided into separate sections http://library.thinkquest.org/2609/

Index Math Geometry Introduction to Geometry This is a tutorial in introductory concepts of geometry. It is divided into four lessons to teach these basic skills: Terminology, Theorems and Proofs, Triangles and their Special Properties, and Graphing Points and Lines. Take the test to see what you have learned. You'll find the reference page and its formulas to be a helpful tool. Visit Site 1996 ThinkQuest Internet Challenge Languages English Students Matt Jenifer Junior High School, Lewiston, ID, United States Chad Clarkston High School, Clarkston, WA, United States Joe Jenifer Junior High School, Lewiston, ID, United States Coaches Meredith Jenifer Junior High School, Lewiston, ID, United States Leonard Clarkston, WA, United States Want to build a ThinkQuest site? The ThinkQuest site above is one of thousands of educational web sites built by students from around the world. Click here to learn how you can build a ThinkQuest site. Privacy Policy

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