21. The Geometry Junkyard: Origami Resource listing of links for information about the relationship between origami and geometry. http://www.ics.uci.edu/~eppstein/junkyard/origami.html

Origami Krystyna Burczyk's Origami Gallery - regular polyhedra The business card Menger sponge project . Jeannine Mosely wants to build a fractal cube out of 66048 business cards. The MIT Origami Club has already made a smaller version of the same shape. Cranes, planes, and cuckoo clocks . Announcement for a talk on mathematical origami by Robert Lang. Crumpling paper: states of an inextensible sheet Cut-the-knot logo . With a proof of the origami-folklore that this folded-flat overhand knot forms a regular pentagon. Folding geometry . Wheaton college course project on modular origami. Geometric paper folding . David Huffman. Rona Gurkewitz' Modular Origami Polyhedra Systems Page . With many nice images from two modular origami books by Gurkewitz, Simon, and Arnstein. How to fold a piece of paper in half twelve times . Britney Gallivan took on this previously-thought-impossible task as a high school science project, worked out an accurate mathematical model of the requirements, and used that model to complete the task. Knotology . How to form regular polyhedra from folded strips of paper?

22. Cynthia Lanius' Lessons: Geometry Online Thanks to PBS for permission to use the Pyramid photo. On these pages you will find 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.

23. The Geometry Of The Sphere The geometry of the Sphere. John C. Polking Introduction. We are interested here 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

24. EIMI: Arithmetic Geometry Conference Euler International Mathematical Institute, St Petersburg, Russia; 2026 June 2004. http://www.pdmi.ras.ru/EIMI/2004/AG/

International conference ARITHMETIC GEOMETRY June 20-26, 2004 St Petersburg, RUSSIA SCIENTIFIC COMMITEE Ch.Deninger (director of SFB, Muenster) I. Fesenko ( Nottingham ) A.Parshin ( Moscow ) S.Vostokov ( St. Petersburg ) ORGANIZING COMMITEE S.Vostokov ( St. Petersburg ) A.Parshin ( Moscow ) I.Panin ( St. Petersburg ) M.Bondarko ( St. Petersburg ) LIST OF SPEAKERS Amnon Besser Ben Gurion Yuri Bilu Bordeaux Michael Bondarko St. Petersburg Ted Chinburg Pennsylvania Joachim Cuntz Muenster Christopher Deninger Muenster Ivan Fesenko Nottingham Luc Illusie Paris-Sud Kazuya Kato Kyoto Toshiyuki Katsura Tokyo Nobushige Kurokawa Tokyo Falko Lorenz Muenster Loic Merel Paris Bernardus Moonen Amsterdam Tetsuo Nakamura Tohoku Alexei Parshin Moscow Vladimir Popov Moscow Christophe Soule Bures Sur Yv Martin Taylor Manchester Sergei Vostokov St. Petersburg Jean-Pierre Wintenberger Strasbourg Gisbert Wuestholz ETH Zurich Yuri Zarhin Penn State Further information First conference on arithmetic geometry Back to the EIMI home-page Back to the Petersburg Department of Steklov Institute of Mathematics

25. The Geometry Web Page The geometry Web page This World Wide Web (WWW) site contains student activities for investigating sixteen geometryrelated topics including constructions, tessellations, and polyhedra. Each http://rdre1.inktomi.com/click?u=http://homepage.mac.com/efithian/geometry.html&

26. 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 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 Sun Jun 6 00:07:01 CDT 2004 Comments to webmaster@ScienceU.com

27. Coolmath.com - An Amusement Park Of Math And More! Designed For FUN! An amusement park of mathematics. Puzzles and number problems, fractals, geometry, calculus, algebra, online games, online calculators, and links. http://www.coolmath.com/

Coolmath.com: An amusement park of math designed for fun! Coolmath Sponsors (Ad Links): Find out how to get a link here! Insurance And Loans Bad Credit Loans Home Equity Loans ... Please help us serve you better by completing a demographic survey. Results will only be used internally for new lessons, etc. and for our sponsors HELP SUPPORT COOLMATH link to us make a donation sponsorships text link advertising ... ScienceMonster.com Thanks for visiting Coolmath.com

28. Preprints.html Several lecture note sets by Igor Dolgachev in various formats, including DVI and PostScript. http://www.math.lsa.umich.edu/~idolga/lecturenotes.html

Lecture Notes Enriques surfaces I: Corrections ( ps pdf LECTURES ON INVARIANT THEORY ( ps pdf INTRODUCTION TO PHYSICS Part 1 ( ps pdf Part 2 ( ps pdf Part 3 ( ps pdf Part 4 ( ps pdf Literature ( ps pdf MODULAR FORMS ( pdf INTRODUCTION TO ALGEBRAIC GEOMETRY Lectures 1-17 ( ps INTRODUCTION TO STRING THEORY Lectures 1-8( ps pdf TOPICS IN CLASSICAL ALGEBRAIC GEOMETRY. PART I Chapters 1-8( pdf TOPICS IN CLASSICAL ALGEBRAIC GEOMETRY. PART II Chapters 9- ( pdf

29. 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

30. San Graal School Of Sacred Geometry The images symbolize different aspects of the unified field theories. They represent the Sacred geometry of Love and Sharing, and are placed here with permission to touch. http://www.sangraal.com/index.htm

Make us your homepage Recommended Reading Articles/Archives Links ... The Eyes of Horus "Let the Eye of Horus come forth from the god and shine outside his mouth." The Pyramid Texts Notes on the Labyrinth, DNA and Planetary Alignment G. I. Gurdjieff G. I. Gurdjieff Agreement made in Court between Non-Defendant Ray Flowers and Stan Tenen in the case Tenen v. Winter (6:94-cv-O7934) San Graal School of Sacred Geometry

31. Native American Geometry Grades 412. Hardaker provides online tools to support a hands on unit 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.

32. Non Commutative Geometry Preprints of Alejandro Rivero about Connes's NCG and the Standard Model. Also some historical articles on related topics. http://dftuz.unizar.es/~rivero/research/index.html

Alejandro Rivero - Research Articles Articulos y Preprints The numbers refer mostly to www.arxiv.org , from where you can get .dvi, .ps or .tex versions. If you want to do some comment, or to request information, please do not hesitate mail me to rivero@dftuz.unizar.es 92-07p353 Experience in RTN , a reconfigurable network of transputers. and : old, unrelated, lattice calculations DFTUZ 93-03 , on a trick of SUSY Q.M. 9411081 Dirac Delta and Renormalization [gzip] in 1D Quantum Mechanics. This was a section of my PhD Thesis. In following years, the issue was widely studied; you can peruse the references in P L Christiansen et al for instance. Tunneling via instantons (last. mod 1994). (note added 27-9-2002: This is, up to this date, the only paper I sent individually to publish. The referee considered it "not urgent", which now I know it is true, see Phys. Rev. D 46, 4685–4690 (1992) . But instead giving this reference-surely unknown to him too-, he argued that the letter was "just calculations" and that he "did not understand formula number (1) in the paper", and so he asked for rewritting. Which I did not) 9605006 (gzip) was a wrong paper trying to fit the Z' boson in the framework of Connes Standard Model.

33. Conformal Geometry And Dynamics Conformal geometry and Dynamics. Conformal geometry and Dynamics. Journals Home; Search; Author Info; Subscribe; Tech Support; Help. ISSN 10884173. http://www.ams.org/ecgd/

Journals Home Search Author Info Subscribe ... Help ISSN 1088-4173 Most recent volume 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 Search the AMS

34. Geometry Step By Step From The Land Of The Incas, Intro. Antonio Gutierrez Presents problems involving circles and triangles, with proofs, SAT practice quizzes and famous quotes. Also, has examples of geometry in Peruvian culture. http://agutie.homestead.com/

@import url(http://www.homestead.com/~media/elements/Text/font_styles.css); This page was last updated on: May 28, 2004 Skip Intro

35. Journal Of Algebraic Geometry Online The Journal of Algebraic geometry is devoted to research articles in algebraic geometry, singularity theory, and related subjects such as number theory http://www.ams.org/distribution/jag/

Journals Home Search Author Info Subscribe ... All issues 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 License Agreement is available electronically.

36. Origami Mathematics Page Mathematics of paper folding; includes a bibliography of articles and journals, Combinatorial geometry syllabus, and a tutorial on geometric constructions. Photo gallery of completed modular, geometric, and tessellation models. http://web.merrimack.edu/~thull/OrigamiMath.html

Origami Mathematics These pages are an attempt to begin collecting information on the mathematics of paper folding. Anyone who has practiced origami has probably, at one time or another, unfolded an origami model and marveled at the intricate crease pattern which forms the "blueprint" of the fold. Clearly there are some rules at play in these collection of creases. Clearly there is an origami geometry at work when paper is folded. Unfortunately, much of the above-mentioned work is new, and at the time of this writing there are few good references for this type of information. These pages will try to help solve this problem by providing an extensive bibliography for origami-math, list upcoming lectures and events, and offer instructions and tutorials for select topics. However, this is an on-going project! These pages are still in their infancy, and any comments or suggestions (or offers to help!) would be greatly appreciated! In March of 2001 the 3rd International Meeting of Origami Science and Technology (3OSME) was held. See the above link for the program listing, pictures, and information on the proceedings book Origami Math Menu: Browse our Origami Math Bibliography Tutorial: Origami Geometric Constructions recently updated!

37. Geometry Activity 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16. All images and text on this page ©2004 by Ephraim Fithian. Please email for permission to use any portions. http://homepage.mac.com/efithian/geometry.html

Activity email

38. Interactive Mathematics Miscellany And Puzzles, Geometry geometry page. A growing number of topics from geometry many of which are accompanied by interactive Java illustrations and simulations. geometry Page. http://www.cut-the-knot.org/geometry.shtml

CTK Exchange Front Page Movie shortcuts Personal info ... Recommend this site Interactive Mathematics Miscellany and Puzzles Geometry Page 3 Utilities Puzzle 4 Travelers problem 9-point Circle as a Locus of Concurrency [Java] A Case of Similarity [Java] A Geometric Limit A problem with equilateral triangles [Java] About a Line and a Triangle [Java] Altitudes [Java] Altitudes and the Euler Line [Java] An Isoperimetric Theorem [Java] Angle Bisectors [Java] Angle Bisectors in a Quadrilateral [Java] Angle Preservation Property [Java] Angle Trisection [Java] Angle Trisectors on Circumcircle [Java] An Old Japanese Theorem Apollonian Gasket [Java] Apollonius Problem [Java] Archimedes' Method Area of Parallelogram [Java] Arithmetic-Geometric Mean Inequality Assimilation Illusion [Java] Asymmetric Propeller [Java] Barbier, The Theorem of [Java] Barycentric coordinates Barycentric coordinates and Geometric Probability Bender: A Visual Illusion [Java] Bisecting arcs Bisecting a shape Bottema's theorem [Java] Bounded Distance Brahmagupta's Theorem [Java] Brianchon's theorem [Java] Bride's Chair [Java] Bulging lines illusion [Java] Butterfly Theorem A Better Butterfly Theorem The Lepidoptera of the Circles [Java] Two Butterflies Theorem [Java] Cantor Set and Function Cantor sets [Java] C - C Cantor's Theorem [Java] Carnot's Theorem Carnot's Theorem Carnot's Theorem (Generalization of Wallace's theorem) [Java] Centroid, a Characteristic Property Of

39. Welcome To G4G4 Contains math, puzzle, geometry, illusions, mazes, links, articles and problems. http://www.g4g4.com/

WELCOME TO G G TO VIEW THIS SITE WITH OUT FRAMES, PLEASE CLICK HERE: WWW.G4G4.COM/G4G4.HTM L

40. Ricci: A Mathematica Package For Doing Tensor Calculations In Differential Geome A Mathematica package for doing tensor calculations in differential geometry and general relativity. http://www.math.washington.edu/~lee/Ricci/

Ricci A Mathematica package for doing tensor calculations in differential geometry Version 1.37 Last Updated November 12, 2002 Ricci is a Mathematica package for doing symbolic tensor computations that arise in differential geometry. It has the following features and capabilities: Manipulation of tensor expressions with and without indices Implicit use of the Einstein summation convention Correct manipulation of dummy indices Display of results in mathematical notation, with upper and lower indices Automatic calculation of covariant derivatives Automatic application of tensor symmetries Riemannian metrics and curvatures Differential forms Any number of vector bundles with user-defined characteristics Names of indices indicate which bundles they refer to Complex bundles and tensors Conjugation indicated by barred indices Connections with and without torsion Limitations: Ricci currently does not support computation of explicit values for tensor components in coordinates, or derivatives of tensors depending on parameters (as in geometric evolution equations or calculus of variations), although support for these is planned for a future release. Ricci also has no explicit support for general relativity, or for other mathematical physics or engineering applications, and none is planned. If you are interested in such support, I recommend that you consider the commercial package MathTensor, which is far more extensive than Ricci, and provides all these capabilities and more. MathTensor is available from

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