1. The Geometry Center Welcome Page Web site for the (now closed) Center for the Computation and Visualization of Geometric Structures Category Science Math geometry......Note The geometry Center is now closed. Read about the details here. WebEQ Donot miss it! About the geometry Center geometry Center Web Resources http://www.geom.umn.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: Looking for math teaching resources? Check out 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's 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@geom.umn.edu

2. A Gallery Of Interactive On-Line Geometry At the geometry Center.Category Science Math geometry......Register Tell Us What You Think Up The geometry Center Home Page Galleryof Interactive geometry HOME The geometry Center Home Page. 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. Looking for math teahing resources? Check out COMAP! 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)

3. Geometry In Action s of realworld applications for discrete and computational geometry and the questions arising from them. which ideas from discrete and computational geometry (meaning mainly low-dimensional Euclidean geometry) meet some real...... 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

4. Computational Geometry Pages Have fun learning geometry by searching for hidden polygons or measuring the Golden Ratio. Includes a glossary. On these pages you will find activities for middle or high school geometry. Bookmark this page and check back often. http://compgeom.cs.uiuc.edu/~jeffe/compgeom

Computational Geometry Pages Welcome to the Computational Geometry Pages, a (hopefully) comprehensive directory of computational geometry resources both on and off the Internet. If there is something you'd like to see here, please send me email. Contributions and suggestions from the community are always welcome! Other essential computational geometry sites include Nina Amenta 's Directory of Computational Geometry Software 's CG Tribune (a newsletter with events and announcements), David Eppstein 's Geometry in Action (describing applications of computational geometry in the Real World), and the 's collection of computational geometry papers new recent current search ] moderated by Joe O'Rourke There are also several excellent Web pages devoted to theoretical computer science in general. See especially Suresh Venkatasubramanian 's Theoretical Computer Science on the Web and the ACM SIGACT home page What's new? (07 Jan 1999) General Resources The Computational Geometry Impact Task Force Report Discussion Related resources Web Directories ... Computer science in general Research and Teaching Research Groups Course Materials Job Announcements Events Past Events Computational geometry Algorithms Geometric application areas ... Other Calendars Literature Bibliographies The Geometry Literature Database Other bibliographies Comprehensive ... Publishers For conference proceedings, see

5. Geometry Center (Science U) The Science U geometry Center contains fun interactive exhibits, informative articles, and helpful lists of facts and formulas in geometry and related areas of mathematics. http://www.scienceu.com/geometry

Welcome to the Geometry Center! Shapes, Patterns, Symmetry! You will find these themes everywhere in the Geometry Center. Browse through an exhibit, or jump right in and start experimenting! Triangle Tilings and Polyhedra Triangle Tiling is the process of taking many copies of a single triangle and laying them next to each other to fill an area. Experiment with the different patterns you can create with flat tiles, or see how you can make polyhedra out of bent triangles with the Symmetry and Tiling Symmetry is everywhere in art, nature and geometry! Learn about periodic and nonperiodic tilings. Watch animations explaining the 17 different kinds of wallpaper symmetry, or use to make your own patterns. Tetrahedral Puzzles Did you know that all convex polyhedra can be decomposed (cut up) into tetrahedra? Tetrahedra are 3-dimensional pyramids with only four faces, the fewest faces possible for any polyhedron. Learn about tetrahedral decompositions by making your own tetrahedra puzzle pieces out of construction paper and put them together to make more complicated polyhedra. Info Center Geometry Center Library Observatory ... Science Me Page last updated Tue Mar 18 01:15:01 CST 2003 Comments to webmaster@ScienceU.com

6. The Geometry Junkyard Usenet clippings, web pointers, lecture notes, research excerpts, papers, abstracts, programs, problems, Category Science Math geometry...... 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: 10 Mar 2003, 18:08:48 PST.

7. The Math Forum Home Page Get details about the Center for geometry Analysis Numerics and Graphics, a differential geometry research team at the Univ. of Massachusetts. http://forum.swarthmore.edu/

What's New Math Tools Book List - Brandenburg Growth Creature Lab - Riedy Forum Features Search for Math or browse our Internet Mathematics Library Ask Dr. Math ... in Math Innovations and Concerns About the Forum Join the Forum Awards Text-Only Home Page http://mathforum.org/ webmaster@mathforum.org

8. Math Forum - Geometry Problem Of The Week A weekly interactive project for geometry on the Internet. Challengingproblems are posted and solutions appear on the Web. http://mathforum.org/geopow/

Last Week's Solution Past Problems and Solutions 2002-03 Calendar Become a Mentor ... Print This Problem Regional Ratios - posted March 10, 2003 A regular hexagon and an equilateral triangle have the same perimeter. What's the ratio of their areas? NOTE: Your submission to this problem should include the answer AND a complete explanation of how you found that answer. If you would like to receive a response from us, please use the "Check Answer" feature which will appear after you have submitted your solution. You can read more about how we will "score" your submission on our scoring information page Submit your answer to "Regional Ratios" OR Get help with "Regional Ratios" 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

9. 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. http://forum.swarthmore.edu/geopow

Last Week's Solution Past Problems and Solutions 2002-03 Calendar Become a Mentor ... Print This Problem Regional Ratios - posted March 10, 2003 A regular hexagon and an equilateral triangle have the same perimeter. What's the ratio of their areas? NOTE: Your submission to this problem should include the answer AND a complete explanation of how you found that answer. If you would like to receive a response from us, please use the "Check Answer" feature which will appear after you have submitted your solution. You can read more about how we will "score" your submission on our scoring information page Submit your answer to "Regional Ratios" OR Get help with "Regional Ratios" 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

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

11. Conformal Geometry And Dynamics. An Electronic Journal Of The American Mathemati Contents, abstracts. Full text to subscribersCategory Science Math Publications Journals......ISSN 10884173. Journals Home; Search Journals; For Authors; Subscribe;Tech Support; Help. Most recent volume Previous volume All volumes. http://www.ams.org/ecgd/

ISSN 1088-4173 Journals Home Search Journals For Authors Subscribe ... All volumes About this journal Journal overview Editorial board Copying and reprinting Publishing cycle Subscription information Subscribe from the AMS bookstore Electronic Journals Online Subscription Agreement For authors Initial submission Author packages Permissions Where to send files for accepted papers ... Information for authors on submitting citations Comments: webmaster@ams.org Privacy Statement

12. Journal Of Algebraic Geometry Online Journal of Algebraic geometry. http://www.ams.org/distribution/jag/

Online Recently Posted Articles Most Recent Issue All Issues Search Authors Author Packages Initial Submissions Where to send files for accepted papers Manuscript tracking About Editorial Board The Journal of Algebraic Geometry is devoted to research articles in algebraic geometry, singularity theory, and related subjects such as number theory, commutative algebra, projective geometry, complex geometry, and geometric topology. This journal, published quarterly with articles posted individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website. Subscriptions: Subscriptions to this journal can be obtained through the AMS Bookstore . Subscriptions and orders can also be addressed to the American Mathematical Society, P.O. Box 845904, Boston, MA 02284-5904. All orders must be accompanied by payment. A

13. History Of Mathematics - Table Of Contents Topics include background in Babylonian, Euclid, Al'Khwarizmi, pi, and trigonometry. Also has recreations and java chat. http://members.aol.com/bbyars1/contents.html

And Insights into the History of Mathematics Table of Contents Prologue The First Mathematicians The Most Famous Teacher Pi: It Will Blow Your Mind ... Comments and Notices

14. Discrete & Computational Geometry Springer journal edited by Jacob E. Goodman and Richard Pollack.Category Science Math geometry Computational geometry Journals...... Would you like to automatically receive notification of every new articleor issue published in Discrete Computational geometry? http://link.springer.de/link/service/journals/00454/

Would you like to automatically receive notification of every new article or issue published in ? Then register with our free-of-charge mail service LINK Alert by checking the appropriate box and enter your email address below: Online First Articles Contents of Issues You will receive confirmation via email. Editors-in-Chief: Jacob E. Goodman, Richard Pollack ISSN 0179-5376 (printed version) ISSN 1432-0444 (electronic version)

15. Springer LINK - Journal Of Geometry - About This Journal Journal of geometry (JG). Published by Birkhäuser Verlag JG is devotedto the publication of current research developments in the http://link.springer.de/link/service/journals/00022/

Journal of Geometry (JG) JG is devoted to the publication of current research developments in the fields of geometry, and in particular recent results in foundations of geometry, geometric algebra, finite geometries, combinatorial geometry, and special geometries. ISSN: 0047-2468 (Printed edition) ISSN: 1420-8997 (Electronic edition)

16. Computational Geometry Code Jeff Erickson's links to freely available implementations of geometric algorithms and software.Category Science Math geometry Computational geometry Software......Computational geometry Code. of Computational geometry Software, which I stronglyencourage you to visit! Items marked have been recently added or modified. http://compgeom.cs.uiuc.edu/~jeffe/compgeom/code.html

Computational Geometry Code This page lists "small" pieces of geometric software available on the Internet. Most of the software is available free of charge. Unless otherwise specified, C or C source code is available for all programs. Software libraries and collections and programs that can be run interactively over the web are listed on separate web pages. Caveat Surfor I can't make any claims about the usefulness or quality of the programs listed here. I don't have the time or equipment to try them all. If you have experience with any of these programs, either positive or negative, please tell me about it The programs on this page are divided into several categories, some of which are divided into further sub-categories. (Eventually, each category will get its own separate web page.) Each program is listed only once, but I've provided cross-links between overlapping categories, and I've tried to arrange similar categories near each other. Robust low-level primitives Combinatorics and discrete math Geometric optimization Convex hulls and convex polyhedra ... Other Each category also includes links to relevant pages in Nina Amenta 's comprehensive Directory of Computational Geometry Software , which I strongly encourage you to visit!

17. Cynthia Lanius' Lessons: Geometry Online Thanks to PBS for permission to use the Pyramid photo. On these pages you willfind activities for middle or high school geometry. geometry Online. http://math.rice.edu/~lanius/Geom/

Cynthia Lanius Thanks to PBS for permission to use the Pyramid photo. On these pages you will find activities for middle or high school geometry. Bookmark this page and check back often. I hope to add at least one activity per month. Geometry Online History of Geometry A Brief Synopsis of Geometry throughout history. Describes the contributions of Egyptians, Babylonians, and Greeks. Includes links to biographies of major contributors to geometry. Hidden Irrationals (English Version) (Spanish Version) What's the rule? Students will find line segments that they can and cannot draw of various irrational lengths, and then find the rule that allows them to draw or not draw. The page should be printed and the segments shaded in. Hidden Polygons Students learn to identify various polygons by locating them on triangular gridpaper. The page can be printed and the figures shaded in. Links to other polygon sites are included. Isosceles Triangle Puzzler Students use the Isosceles Triangle Theorem to analyze a problem with similar triangles. Answers can be submitted online. Impossible Triangles Students use several different rules to determine triangle "impossibilities". Answers can be checked online. ... graded online. The Golden Ratio This lesson introduces the golden ratio with a measuring activity. Students will also build a rectangle that approaches the golden ratio.

18. Geometry Around Black Holes A WWW Exhibition in Relativistic Computer Dynamics and Visualization http://www.astro.ku.dk/~cramer/RelViz/

Award June 10th 1997 Award July 7th 2000 'Highly Rated by Schoolzone' Cramer's Homepage Geometry Around Black Holes A WWW Exhibition in Relativistic Computer Dynamics and Visualization By Michael Cramer Andersen, June 1996. Contents of this WWW Visualization Exhibition: General Relativity and Black Holes. Curvature and lightcones. Kerr's rotating Black Holes. Gravitational redshift. ... Other sites with black holes... You are guest no. Updated June 18th 1997 by cramer@astro.ku.dk . Links to this site: http://www.astro.ku.dk/~cramer/RelViz/

19. The Geometry Of The Sphere This material was the text for part of the Advanced Mathematics course in the High School Teachers Category Science Math geometry......The geometry of the Sphere. John C. Polking Introduction. We are interestedhere in the geometry of an ordinary sphere. In plane geometry http://math.rice.edu/~pcmi/sphere/

The Geometry of the Sphere John C. Polking Rice University The material on these pages 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. Teachers are requested to make their own contributions to this page. These can be in the form of comments or lesson plans that they have used based on this material. Please send email to the author at polking@rice.edu to inquire. Pages can be kept at Rice or on your own server, with a link to this page. Putting mathematics onto a web page still presents a significant challenge. Much of the effort in making the following pages as nice as they are is due to Dennis Donovan Boyd Hemphill added two nice appendices. Susan Boone helped construct the Table of Contents. All of them are teachers and members of the Rice University Site of the IAS/Park City Mathematics Institute. Table of Contents Introduction Basic information about spheres Lines and spheres Planes, spheres, circles, and great circles: ... A Proof of Euler's formula Appendices Incidence relations in the plane and in space Degrees and radians , by Boyd E. Hemphill

20. Native American Geometry A physical, proportional geometry that originates from the simple circle.Category Society Religion and Spirituality Sacred geometry and Art...... Grades 412. Hardaker provides online tools to support a hands onunit espousing a new approach to learning geometry. For those http://www.earthmeasure.com/

Endorsements References Endorsements References N ATIVE AMERICAN GEOMETRY is a physical, proportional geometry that originates from the simple circle. A growing body of architectural and iconographic evidence from Native America suggests it was a relatively common tradition that has been practiced for at least two thousand years. This is the same type of geometry that was discovered and developed by the ancestors of many peoples in many places, from China to the Mediterranean Basin to the British Isles. Currently, it resides among the logo designers of Madison Avenue. Generally, it maintains a similar methodological structure to the Middle Eastern tradition of classical geometry that is limited to operations carried out by the compass and straightedge, or two sticks and a rope. In the anthropological world, there are generally two ways traditions come into being in any particular culture: diffusion or borrowing from another culture; and, independent invention or discovery. Did the geometry have a single source and diffuse around the world over a period of several millennia? Or is there something about it, like stone working techniques, that made it independently accessible to the human mind in diverse cultures and civilizations? Personally, I believe the geometry was discovered independently by widely disparate cultures. Why? Because this type of proportional geometry originates with the circle, one of the most popular and multi-cultural symbols in the human world. It is a shape that served as a foundation for countless domestic and ceremonial structures. Given the intimate relationship between the circle's radius and the hexagon, it is an argument I can live with, for now. This opinion does not exclude instances of cultural diffusion within specific geographic regions.

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