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The Living Mathematics Project

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SunSITE @ UBC http://SunSITE.UBC.CA/ The Living Mathematics Project ``Constructing a new medium for the communication of Mathematics'' A sk any mathematician , and you'll be told - Mathematics is a dynamic, living subject. But for many people, going beyond the static images and formulas of current mathematics texts requires an effort in creative visualization which is often beyond their means. The Living Mathematics Project hosted at SunSITE UBC is working to apply recent advances in computer programming languages and the technology of the World Wide Web to construct a new medium for the communication of Mathematics. Local developments: Please let us know what you think about these projects. If you are using them for interesting projects, or if you can think of a way they might be improved Read More
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Border Pattern Gallery

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Border Pattern Gallery Border Pattern Gallery This gallery has been developed as a class project by the Spring 1996 MATH 3403 Geometric Structures class at Oklahoma State University. Creating and classifying border patterns (also called frieze or band patterns) provides a delightful and engaging introduction to symmetry. Kids love it and so do college students. This sampling of examples of the seven different types has been developed for your pleasure. Check them out! Examples of Type mm Examples of Type 1m Examples of Type mg Examples of Type 1g Examples of Type 12 Examples of Type m1 Examples of Type 11 Here is an explanation of How We Classify Border Patterns into the seven types. The Symmetries of the Seven Border Types are shown in this display created by Rhonda, Susana, Steven and Jo Read More
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nrich.maths.org :: Mathematics Enrichment :: NRICH Home Page

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Skip over navigation About | Contact | Newsletter | Accessibility | News and events Home This month Stage 1 & 2 Stage 2 & 3 Stage 3 & 4 Stage 4 & 5 Curriculum Mapping Packages Articles Maths finder Weekly problem Courses Ask NRICH Thesaurus Help past issues 2008 2007 2006 2005 2004 2003 2002 2001 2000 1999 1998 1997 1996 Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec Choose a theme Jungle Ice Mathematics problems, games, and articles This month's problems, articles and games are available in the left hand menu, but why not install a flash player in your browser so you can use this site navigator? Welcome to the November edition of NRICH, the maths enrichment site . This site supports teachers and learners of mathematics with thousands of free resources which are designed to develop subjec Read More
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"Graph It !" - Graph your mathematical functions / Example of Javascript.

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'; ChHtml += " '; ChHtml += ' '; ChHtml += '\ '; ChHtml += ' '; ChHtml += ' '; ChHtml += ' Read More
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A Focus+Context Technique Based on Hyperbolic Geometry for Visualizing Large Hierarchies.

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A Focus+Context Technique Based on Hyperbolic Geometry for Visualizing Large Hierarchies. John Lamping, Ramana Rao, and Peter Pirolli Xerox Palo Alto Research Center 3333 Coyote Hill Road Palo Alto, CA lamping@parc.xerox.com rao@parc.xerox.com pirolli@parc.xerox.com © ACM Abstract We present a new focus+context (fisheye) technique for visualizing and manipulating large hierarchies. Our technique assigns more display space to a portion of the hierarchy while still embedding it in the context of the entire hierarchy. The essence of this scheme is to lay out the hierarchy in a uniform way on a hyperbolic plane and map this plane onto a circular display region. This supports a smooth blending between focus and context, as well as continuous redirection of the focus. We have developed effective Read More
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A Gallery of Interactive On-Line Geometry

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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 examini Read More
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Abstracts

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Abstracts The following is the list of chapters that you will find inthis Web site. They are alphabetically ordered by the last name ofthe first author. After the abstract of each chapter, you will find atable like the following: By clicking on the WWW link you will be taken to the WWW page ofthat chapter. You will be to read the paper using your browser. Ifyou click on the PDF link, you will be able to save the PDF file ofthat chapter. You will then be able to read and print the chapterusing AcrobatReade r. The PDF file contains the chapter exactly as it will beprinted in a forthcoming publication. Introduction Pedro GÓmez and Bert Waits (Editors) A brief description of the goals, organization and achievements of the Topic Group 18. Discovering advanced mathematics withcalculato Read More
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Abstracts

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home about the CMS donating to CMS media releases search site map membership and publications membership publications website accounts activities competitions grants math camps meetings - past meetings prizes & awards resources education employment research students women links math societies other links Next: JEFFERY-WILLIAMS LECTURE / CONFÉRENCE ABSTRACTS / RÉSUMÉS DE CONFÉRENCES CMS Summer 1998 Meeting / R?union d'?t? 1998 de la SMC JEFFERY-WILLIAMS LECTURE / CONFÉRENCE JEFFERY-WILLIAMS George Elliott - -algebras--the first fifty years KRIEGER-NELSON LECTURE / CONFÉRENCE KRIEGER-NELSON Catherine Sulem - Nonlinear Schrödinger equation and wave collapse PUBLIC LECTURE / CONFÉRENCE PUBLIQUE F. William Lawvere - Everyday physics of extended bodies or Read More
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Al Seckel's Homepage of Illusions, Perception & Cognitive Science

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Home Research Lectures Books Columns Calendars Science Galleries IllusionWorks Masters of Deception Contact Illusion Licensing For Optical Illusions and other 3D images, please visit Eyetricks.com . Al Seckel's Homepage of Illusions, Perception & Cognitive Science Al Seckel with Priscilla Heard and Richard Gregory Research Focus I am extensively collecting, researching, and experimenting with illusions to understand what conditions are necessary for them to work. Illusions can provide a wonderful window into how the brain works by revealing hidden underlying mechanisms in a way that normal perception fails to do. I am particularly interested in understanding the neuronal correlates of visual and other types of sensory illusions, that is, how they can be explained in terms of the electrophy Read More
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Algebraic Number Theory Archives

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Algebraic Number Theory Archives From: Nigel Boston <boston@math.uiuc.edu&gt Date: Wed, 8 Jan 2003 12:03:33 -0600 (CST) To: Algebraic-Number-Theory@listserv.uiuc.edu Subject: Algebraic-Number-Theory preprint archives I shall no longer be managing the Algebraic Number Theory preprint archives. The web site is now frozen and is not accepting new submissions and subscriptions. Michael Zieve has kindly agreed to assume control, with the help of Greg Kuperberg, and new submissions should be directed to the new URL for the archive, http://front.math.ucdavis.edu/ANT/ Your subscription will continue, unless you choose otherwise. I thank Dan Grayson for setting up the archives and his patient help with technical issues, and Michael and Greg for volunteering to take on this work. -- Nigel Boston Read More
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AM98 Conference

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AM'98 ART-MATH 1998 Conference U.C. Berkeley, August 3 -- 7, 1998. A Brief Summary Three days of mostly invited presentations, ... Featuring: Bruce Beasley, Harriet Brisson, Brent Collins, Helaman Ferguson, Mike Field, George Hart, Linda Dalrymple Henderson, Ken Herrick, David Hoffman, James Hoffman, Scott Kim, Gyongy Laky, Charles Perry, Steve Reinmuth, Stephanie Strickland, Arthur Silverman, William Thurston, Diana Venters. Pictures from AM'98 in Berkeley: The Presentations (Old pictures from AM'97, SUNY Albany) followed by two days of intensive workshops, ... Conducted by: Mike Field, Nat Friedman, George Hart, Kevin Lee, Howard Levine, Karl Schaffer, Scott Kim, Carlo SÉquin, Helena Verrill. Pictures from AM'98 in Berkeley: The Workshops (Old pictures from AM'97, SUNY Albany) and with p Read More
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Archimedes Home Page

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I N F I N I T E S E C R E T S NOVA , the PBS television science series, examines Archimedes' ideas of the infinite found in an ancient manuscript. Check your local NOVA listings (USA). NOVA , the PBS television science series, examines Archimedes' ideas of the infinite found in an ancient manuscript. TUESDAY, SEPTEMBER 30TH at 8:00 PM on your local public television station (USA). ------END of THE CLAW table-------------> Detail of a painting by Jusepe de Ribera (Spanish 1591-1652) in the Museo del Prado (Madrid, Spain) 125 x 81 cm Enlargements: 352 x 480 pixels, 30K 1457 x 1985 pixels, 269K Spanish postage stamp: March 24, 1963 Scott Catalogue Number 1159 378 x 430 pixels, 56K 757 x 861 pixels, 208K --------> This site is a collection of Archimedean miscellanea under continual development Read More
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Archived: Helping Your Child Learn Math: Table of Contents

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A r c h i v e d I n f o r m a t i o n June 1999 Table Of Contents Title Page Foreword Introduction Activities Math in the Home Fill It Up Fractured Fractions Money's Worth In the News Newspaper Search Treasure Hunt Squash That Box Simply Symmetrical Tracking Time Math at the Grocery Store Get Ready Weighing In Get into Shapes Check It Out It's in the Bag Put It Away Math on the Go Number Search License Plate Special License Plate Riddles Total It How Long, How Far? Ease on Down the Road Math for the Fun of It Guess If You Can What Are the Coins? What Are My Chances? Money Match More or Less Problem Solvers Card Smarts Let's Play Store. What Our Children Are Learning How Will Math Look in Your Child's Classroom? What You Can Do To Help Your Child Achieve in Math Resources Acknowledgments -# Read More
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Archivum Mathematicum

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FACULTAS SCIENTIARUM NATURALIUM UNIVERSITATIS MASARYKIANAE BRUNENSIS Archivum Mathematicum Editor-in-Chief: J. Rosicky Managing Editor: R. Kucera Editorial Board R. P. Agarwal, Melbourne; B. Banaschewski, Hamilton; J. B. Cooper, Linz; O. Dosly, Brno; I. Kolar, Brno; O. Kowalski, Praha; P. A. Markowich, Wien; P. W. Michor, Wien; J. Nesetril, Praha; F. Neuman, Brno; L. Polak, Brno; A. Pultr, Praha; S. Schwabik, Praha; J. Slovak, Brno; J. Trlifaj, Praha; A. Zenisek, Brno For fastest access: Choose your nearest server! Volumes Volume 43 (2007): No. 1 , No. 2 , No. 3 Volume 42 (2006): No. 1 , No. 2 , No. 3 , No. 4 (dedicated to Prof. J. Rosicky) Supplement Issue: Proceedings of the Winter School Geometry and Physics Volume 41 (2005): No. 1 , No. 2 , No. 3 , No. 4 Volume 40 (2004): No. 1 , No. 2 Read More
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Area and perimeter

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Area and perimeter Area Area of a square Area of a rectangle Area of a parallelogram Area of a trapezoid Area of a triangle Area of a circle Perimeter Circumference of a circle Math Contests School League Competitions Contest Problem Books Challenging, fun math practice Educational Software Comprehensive Learning Tools Visit the Math League Area The area of a figure measures the size of the region enclosed by the figure. This is usually expressed in terms of some square unit. A few examples of the units used are square meters, square centimeters, square inches, or square kilometers. Area of a Square If l is the side-length of a square, the area of the square is l 2 or l × l . Example: What is the area of a square having side-length 3.4? The area is the square of the side-length, which is 3 Read More
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Area and perimeter

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Area and perimeter Area Area of a square Area of a rectangle Area of a parallelogram Area of a trapezoid Area of a triangle Area of a circle Perimeter Circumference of a circle Math Contests School League Competitions Contest Problem Books Challenging, fun math practice Educational Software Comprehensive Learning Tools Visit the Math League Area The area of a figure measures the size of the region enclosed by the figure. This is usually expressed in terms of some square unit. A few examples of the units used are square meters, square centimeters, square inches, or square kilometers. Area of a Square If l is the side-length of a square, the area of the square is l 2 or l × l . Example: What is the area of a square having side-length 3.4? The area is the square of the side-length, which is 3 Read More
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Area Flashcards

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Area Flashcards Number of problems : Unlimited 100 50 30 20 10 Read More
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Basic Terms

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Basic terms Lines Points Intersection Line segments Rays Endpoints Parallel lines Math Contests School League Competitions Contest Problem Books Challenging, fun math practice Educational Software Comprehensive Learning Tools Visit the Math League Lines A line is one of the basic terms in geometry. We may think of a line as a "straight" line that we might draw with a ruler on a piece of paper, except that in geometry, a line extends forever in both directions. We write the name of a line passing through two different points A and B as "line AB" or as , the two-headed arrow over AB signifying a line passing through points A and B. Example: The following is a diagram of two lines: line AB and line HG. The arrows signify that the lines drawn extend indefinitely in each dir Read More
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BeitrÄge zur Algebra und Geometrie Homepage

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BeitrÄge zur Algebra und Geometrie Contributions to Algebra and Geometry ISSN 0138-4821 · Electronic Edition Managing Editors H. Martini (Chemnitz), G. Stroth (Halle), J. StÜckrad (Leipzig). The mathematical Journal BeitrÄge zur Algebra und Geometrie / Contributions to Algebra and Geometry was founded in 1971 on the occasion of the 65th birthday of O.-H. Keller. It publishes research articles in the areas of algebra, geometry, algebraic geometry and related fields , preferably in English language. For fastest access: Choose your nearest server! Editorial Contents Volume 34 (1993): No. 1 , No. 2 Volume 35 (1994): No. 1 , No. 2 Volume 36 (1995): No. 1 , No. 2 Volume 37 (1996): No. 1 , No. 2 Volume 38 (1997): No. 1 , No. 2 Volume 39 (1998): No. 1 , No. 2 Volume 40 (1999): No. 1 , No. 2 Volume Read More
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Biblioth?ques de l'Universit? Libre de Bruxelles: Accueil

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EZ-Proxy Liens utiles Format Marc 21 : sur le site de la LC sur le site de l'OCLC Liste des autorit?s de la Library of Congress : sur le site de la LC sur le site de l'OCLC : authorization : 100-027-839 password : SNAIL cliquer sur l'onglet Authorities cl?turer votre session d?s la fin de votre recherche car l'interrogation est limit?e ? 9 utilisateurs simultan?s haut de la page Utiliser les ressources Nouveaut?s Biblioth?que ?lectronique Catalogue CIBLE Catalogues ext?rieurs Site web des Biblioth?ques Bases de donn?es P?riodiques ?lectroniques E-books Th?ses (BICTEL/e) Digith?que Iconoth?que num?rique D?p?t institutionnel Ressources librement accessibles Sugg?rer une ressource ?lectronique Ressources th?matiques Utiliser les Services Horaires Acc?s Inscription Carte de Campus Services sur Read More
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Buffon's Needle

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Buffon's Needle An Analysis and Simulation by George Reese Run the simulation using a Java applet Introduction to the problem. The simplest case The other cases An estimate that is very close Questions References Download a graphical simulation program (Macintosh, binhexed) An interesting extension posed by p. ganguly. Send me an email if you think you have an answer. Introduction Buffon's Needle is one of the oldest problems in the field of geometrical probability. It was first stated in 1777. It involves dropping a needle on a lined sheet of paper and determining the probability of the needle crossing one of the lines on the page. The remarkable result is that the probability is directly related to the value of pi. These pages will present an analytical solution to the problem along with Read More
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C. Goodman-Strauss

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Chaim Goodman-Strauss prof of mathematics univ arkansas Papers Expository Notes Now podcasting a weekly radio segment! Visit The Math Factor website or iTunes. Please visit my new mathematical graphics site, mathbun.com Chaim Goodman-Strauss Dept. Mathematics Univ. Arkansas Fayetteville, AR 72701 strauss@uark.edu 479-575-6332 You are visitor 328298319 This page last updated 10:18:22 GMT July 27, 1974 Read More
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C. Goodman-Strauss

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This Site Has Moved to http://comp.uark.edu/~cgstraus Chaim Goodman-Strauss Dept. Mathematics Univ. Arkansas Fayetteville, AR 72701 cgstraus@comp.uark.edu 501-575-6332 Read More
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California Math Show Home Page

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The California Math Show The California Math Show is a portable, interactive math exhibit based on the idea of symmetry. Visitors are encouraged to sit down and do things: build symmetric polyhedra (another picture) out of snap-together pieces, make symmetric patterns with pattern blocks , stencils , rubber stamps, computer software ; color symmetric designs , cut out snowflakes and strings of paper dolls ; get into a huge kaleidoscope (another picture) and become part of a symmetric pattern. The activities are for people of all levels, from 5-year-olds to research mathematicians. Children often spend over an hour at the exhibit. The activities seem to be equally appealing to girls and boys. The entire exhibit fits into a station wagon, and can be put up by two people in an hour. Some of t Read More
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CEC Lesson Plans

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CEC Lesson Plans These lesson plans were created by teachers for use in their own classrooms. We hope that you'll find some of these useful in your classroom as well. Language Arts Mathematics Science Social Studies Miscellaneous Columbia Education Center has arranged with Microsoft to list some of our lesson plans on the new Encarta Lesson Collection . Note: Not all of our lessons plans are listed on Encarta. Browse through our lesson plan listings to see what else we have to offer. Also, you will find math and science lessons, resources, programs, and activities at Eisenhower National Clearinghouse WE have a large collection of links to other Internet-Based Lesson Plans and Resources . There are resources available here for both teachers and students. Language Arts Elementary (K-5) Inter Read More
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Circumference of a Circle

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Circumference of A Circle Learn Practice Play Explore Feedback Previous Lesson Table of Contents Next Lesson &nbsp Calculating the Circumference of a Circle The circumference of a circle is the distance around the outside of the circle. It could be called the perimeter of the circle. How to find the circumference of a circle: The circumference of a circle can be found by multiplying pi ¶ (which is equal to 3.14) by the diameter of the circle. If a circle has a diameter of 4, its circumference is 3.14*4=12.56 If you know the radius, the diameter is twice as large. Return to Top What is the Circumference of a circle with the given dimensions? Round answer to nearest hundredth. Use 3.14 for pi. = You have correct and incorrect. This is percent correct Return to Top Play Game What is it? Best Read More
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Conjectures in Geometry

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Conjectures in Geometry An educational web site created for high school geometry students by Jodi Crane, Linda Stevens, and Dave Wiggins Introduction: This site constitutes our final project for Math 5337-Computational Methods in Elementary Geometry , taken at the University of Minnesota's Geometry Center during Winter of 1996. This course could be entitled "Technology in the Geometry Classroom" as one of its more important objectives is to provide students (presumably math educators) with a wide variety of activities (demonstrations and assignments) utilizing computer software that could be incorporated into a high school geometry classroom. This page has been designed to provide an interactive technological resource for students studying elementary high school geometry. Basic concepts, c Read More
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Cynthia Lanius' Lesson: Rectangle Pattern Challenges

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Cynthia Lanius Rectangle Pattern Challenges Stage No. 1 Stage No. 2 Stage No. 3 Preliminary Questions Examine Stage No. 1 and Stage No. 2. Then examine Stage No. 2 and Stage No. 3. Describe what you have to do to Stage (N - 1) to create Stage N. (This problem is asking about the designs themselves, not the mathematical model.) Observe the designs looking for patterns. Use the patterns to predict Stages 0, 4 and n. Organize your information into the table below. Stage No. 0 1 2 3 4 n No. Blue No. Red No. Green Total No. Thought Questions Which color of squares is growing at the slowest rate? At the fastest rate? Graph the 3 formulas to get a picture of the growth of all three. How many squares of each color will be in the 8th stage of the design? Will the design use 42 blue squares in any s Read More
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Dave's Geometric Pix Gallery

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Dave's Geometric Pix Gallery All the images here have something do with geometry and many have to do with chaos. The chaotic image above is one recently generated by Millefiori! A page describing Mandelbrot and Julia sets , along with Explorers on which you can point and click to get more refined images. A page on Newton Basins , and a generation form to create them. Updated recently! Some kaleidoscopes and a kaleidoscope applet. A page describing tiling the Hyperbolic Plane , and an applet to generate hyperbolic tilings A page on Wallpaper Groups . A Little Gallery of Roulettes Some Bowditch patterns , and other miscelaneous pictures David E. Joyce Read More
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develop June 96 - According to Script: Attaching and Embedding Scripts

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develop June 96 - According to Script: Attaching and Embedding Scripts develop: Issue 25 Advanced Search Log In | Not a Member? Contact ADC develop, The Apple Technical Journal NURB Curves: A Guide for the Uninitiated QuickDraw 3D supports a mathematical model for arbitrary curves and surfaces known as NURB ( n on u niform r ational B -splines). NURB curves are flexible and powerful, but using them effectively requires some understanding of the underlying mathematical theory. This article presents an intuitive introduction to the mathematical concepts of the NURB model and how to use them in your QuickDraw 3D programs. One of the more powerful features of QuickDraw 3D is its ability to work with curves and surfaces of arbitrary shape. The mathematical model it uses to represent them is kno Read More
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Division of Mathematics Learning and Teaching

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The Division of Mathematics Learning and Teaching (MLT) at Education Development Center, Inc. (EDC) works in partnerships with the education community to construct new educational tools, models, and solutions grounded in the daily realities of the classroom. MLT is home to two EDC centers: Center for the Development of Teaching Center for Mathematics Education Site hosted by Education Development Center, Inc. ©1994-2006 Education Development Center, Inc. All Rights Reserved. Read More
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Division of Mathematics Learning and Teaching

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The Division of Mathematics Learning and Teaching (MLT) at Education Development Center, Inc. (EDC) works in partnerships with the education community to construct new educational tools, models, and solutions grounded in the daily realities of the classroom. MLT is home to two EDC centers: Center for the Development of Teaching Center for Mathematics Education Site hosted by Education Development Center, Inc. ©1994-2006 Education Development Center, Inc. All Rights Reserved. Read More
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E-Lab: Cutting Solid Figures

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E-Lab Grade 7 Activity 12 Cutting Solid Figures What You Will Do: You will use a plane to cut a three-dimensional figure. How You Will Use It: You can draw cross-sections of three-dimensional figures. If you need a Recording Sheet choose one of the options below. GIF file (for viewing onscreen) PDF file (for printing) (We're sorry, your browser doesn't support Java or Java may be turned off.) Copyright © Harcourt School Publishers. All Rights Reserved. Read More
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E-Lab: Patterns For Solid Figures

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E-Lab Grade 4 Activity 12 Patterns For Solid Figures What You Will Do: You will complete nets that make a cube. How You Will Use It: You will be able to identify all the nets that make a cube. If you need a Recording Sheet choose one of the options below. GIF file (for viewing onscreen) PDF file (for printing) (We're sorry, your browser doesn't support Java or Java may be turned off.) Copyright © Harcourt School Publishers. All Rights Reserved. Read More
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Erich's Packing Center

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Triangles in Squares updated 6/27/05 Circles in Squares updated 7/19/02 Squares in Squares updated 11/5/05 Tans in Squares updated 10/16/07 Triangles in Triangles updated 7/13/07 Circles in Triangles updated 7/19/02 Squares in Triangles updated 7/23/02 Circles in Tans updated 1/5/06 Triangles in Circles updated 10/24/05 Circles in Circles updated 6/27/05 Squares in Circles updated 6/27/05 Tans in Circles updated 8/17/07 Triangles in Hexagons updated 7/31/05 Circles in Hexagons updated 1/5/06 Squares in Tans updated 6/27/05 Tans in Tans updated 11/15/07 L's in Squares updated 7/31/05 Squares in L's updated 6/29/05 L's in Circles updated 8/12/07 Circles in L's updated 1/5/06 Circles in Ellipses updated 6/8/07 Circles in Arbitrary Triangles updated 6/26/07 Covering Triangles Covering Triangle Read More
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Faculty of Education

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You are using a browser that is not standards-compliant (possibly Netscape 4). The information on this Web site will be accessible to you, but for a list of Web browsers that comply with the World Wide Web Consortium standards, please visit our Web standards page. Bachelor of Education and Diploma in Education (Technological Studies) | Graduate Program Continuing Teacher Education | Research | Alumni Relations | Office of The Dean Rwandan internship was a life-changing experience (Photo: Carissa MacLennan and Claudine Bonner) Quick Links Mission Statement People Media and Information Services The Althouse Press Education Library Login: Principals, Associate Teachers, Faculty Advisors Contact Us Interested Students Bachelor/Diploma Additional Qualifications Graduate Current Students Bachelo Read More
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Famous Curves Index

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Famous Curves Index Click on the name of a curve below to see its history and some of its associated curves. Astroid Bicorn Cardioid Cartesian Oval Cassinian Ovals Catenary Cayley's Sextic Circle Cissoid of Diocles Cochleoid Conchoid Conchoid of de Sluze Cycloid Devil's Curve Double Folium DÜrer's Shell Curves Eight Curve Ellipse Epicycloid Epitrochoid Equiangular Spiral Fermat's Spiral Folium Folium of Descartes Freeth's Nephroid Frequency Curve Hyperbola Hyperbolic Spiral Hypocycloid Hypotrochoid Involute of a Circle Kampyle of Eudoxus Kappa Curve LamÉ Curves Lemniscate of Bernoulli Limacon of Pascal Lissajous Curves Lituus Neile's Parabola Nephroid Newton's Parabolas Parabola Pearls of de Sluze Pear-shaped Quartic Plateau Curves Pursuit Curve Quadratrix of Hippias Rhodonea Curves Right Read More
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Famous Curves Index

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Famous Curves Index Click on the name of a curve below to see its history and some of its associated curves. Astroid Bicorn Cardioid Cartesian Oval Cassinian Ovals Catenary Cayley's Sextic Circle Cissoid of Diocles Cochleoid Conchoid Conchoid of de Sluze Cycloid Devil's Curve Double Folium DÜrer's Shell Curves Eight Curve Ellipse Epicycloid Epitrochoid Equiangular Spiral Fermat's Spiral Folium Folium of Descartes Freeth's Nephroid Frequency Curve Hyperbola Hyperbolic Spiral Hypocycloid Hypotrochoid Involute of a Circle Kampyle of Eudoxus Kappa Curve LamÉ Curves Lemniscate of Bernoulli Limacon of Pascal Lissajous Curves Lituus Neile's Parabola Nephroid Newton's Parabolas Parabola Pearls of de Sluze Pear-shaped Quartic Plateau Curves Pursuit Curve Quadratrix of Hippias Rhodonea Curves Right Read More
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Figures and polygons

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Figures and polygons Polygon Regular polygon Vertex Triangle Equilateral triangle Isosceles triangle Scalene triangle Acute triangle Obtuse triangle Right triangle Quadrilateral Rectangle Square Parallelogram Rhombus Trapezoid Pentagon Hexagon Heptagon Octagon Nonagon Decagon Circle Convex Math Contests School League Competitions Contest Problem Books Challenging, fun math practice Educational Software Comprehensive Learning Tools Visit the Math League Polygon A polygon is a closed figure made by joining line segments, where each line segment intersects exactly two others. Examples: The following are examples of polygons: The figure below is not a polygon, since it is not a closed figure: The figure below is not a polygon, since it is not made of line segments: The figure below is not a po Read More
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Flatland: A romance of many dimensions

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Flatland: A romance of many dimensions Flatland A romance of many dimensions With Illustrations by the Author, A SQUARE (Edwin A. Abbott 1838-1926) To The Inhabitants of SPACE IN GENERAL And H. C. IN PARTICULAR This Work is Dedicated By a Humble Native of Flatland In the Hope that Even as he was Initiated into the Mysteries Of THREE Dimensions Having been previously conversant With ONLY TWO So the Citizens of that Celestial Region May aspire yet higher and higher To the Secrets of FOUR FIVE OR EVEN SIX Dimensions Thereby contributing To the Enlargement of THE IMAGINATION And the possible Development Of that most rare and excellent Gift of MODESTY Among the Superior Races Of SOLID HUMANITY PREFACE TO THE SECOND AND REVISED EDITION, 1884. BY THE EDITOR If my poor Flatland friend retained the Read More
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GANG | Geometry Analysis Numerics Graphics

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Exhibit "Woven Willow" --> The GANG Gallery of Constant Mean Curvature Surfaces The GANG Gallery of Willmore Surfaces The GANG Gallery of Minimal Surfaces The GANG Gallery of Pseudospherical Surfaces Summer REU program at GANG REU Main Page 2000 2001 2002 2004 GANG Poster --> A GANG Video Production: Surfaces, Flows and Holonomy --> © GANG 2002 Read More
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Geometry and the Imagination in Minneapolis

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Next: Preface Geometry and the Imagination in Minneapolis John Conway Peter Doyle Jane Gilman Bill Thurston June 1991 Version 0.91 dated 12 April 1994 Abstract: This document consists of the collection of handouts for a two-week summer workshop entitled 'Geometry and the Imagination', led by John Conway, Peter Doyle, Jane Gilman and Bill Thurston at the Geometry Center in Minneapolis, June 17-28, 1991. The workshop was based on a course `Geometry and the Imagination' which we had taught twice before at Princeton. Preface Contents Philosophy Organization Bicycle tracks Polyhedra Knots Maps Notation for some knots Knots diagrams and maps Unicursal curves and knot diagrams Gas, water, electricity Topology Surfaces How to knit a Möbius Band Geometry on the sphere Course projects The angle Read More
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Geometry and Topology Address Book

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Geometry and Topology Address Book This page was last modified on May 07, 1997 Please report problems to cws@math.ufl.edu. Table of Contents Additions and corrections Search the address book WAIS remarks FTP and mail servers Mass mailings List maintainers Additions and Corrections We are trying out an enhancement which should simplify email submission of addresses and corrections to the list maintainers. If you don't receive email confirmation from one of us, please resend your message to one of the list maintainers in the usual way. You must have a Web browser that supports HTML forms in order to use the next item. If you do not see text editing areas below then your browser does not support forms. Enter your message in the areas provided below. Be sure to fill out all of the fields and p Read More
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Geometry Center: Triangle Tilings and Polyhedra (Science U)

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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 out an area in the plane, or 3D shape in space. In this article, you can read about: Making patterns from colored triangular tiles Why the shape of the tiles is important How bending the triangles leads to 3D shapes While you read, you may want to try some triangle tiling experiments with the Science U interactive . Info Center | Geometry Center | Library | Observatory | Studio | Store | Science Me Page last updated Sat Oct 1 10:02:47 CDT 2005 Comments to webmaster@ScienceU.com Copyright &copy Geometry Technologies 1999. All right reserved. Read More
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Geometry Formulas and Facts

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Next: Part I: Two-Dimensional Geometry Up: Geometry Reference Archives Geometry Formulas and Facts Silvio Levy This document is excerpted from the 30th Edition of the CRC Standard Mathematical Tables and Formulas , published in late 1995 by CRC press . This completely rewritten and updated edition of CRC's classical reference work is edited by Dan Zwillinger, and boasts the participation of dozens of distinguished contributors in all fields of mathematics. Ordering information is available here . The present excerpt covers the area of Geometry (minus differential geometry). It was written by Silvio Levy and is reproduced here with permission. All the figures were made by the author using Mathematica , except those in Section 2.4 , which were made using kali . This online version was prepar Read More
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Geometry Section

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The Geometry Section Mathematics Contents Index Home Fractals Common Shapes Areas and Volumes Coordinate Geometry Points, Lines, Planes Mathematics Contents Index Home E-mail Read More
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Geometry Through Art - Teaching Measurement

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Geometry Through Art Norman Shapiro A Lesson on Teaching Measurement Table of Contents Egyptian knotted string Use plain kite string and bring geometry into your math program. The ancient Egyptians used string. They knotted it and stretched it to do their measuring. A very young child can get the idea of making geometric measurements the same way. Children can begin to comprehend the rudiments of geometry with string by being measured themselves. In kindergarten and first and second grade, a teacher can take children's measurements and use their respective heights as basic length-units for having them measure things in the immediate environs. That's what the Egyptians did. They called the surveyors "rope-stretchers." A string with knots carefully made at both ends becomes your basic line s Read More
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Globalizing two-dimensional unstable manifolds of maps

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Up: Available formats Globalizing two-dimensional unstable manifolds of maps Bernd Krauskopf Theoretical Physics Free University De Boelelaan 1081 1081 HV Amsterdam The Netherlands berndk@nat.vu.nl Hinke Osinga The Geometry Center University of Minnesota 1300 South Second Street Minneapolis, MN 55454 U.S.A hinke@geom.umn.edu Abstract We present an algorithm for computing the global two-dimensional unstable manifold of a normally hyperbolic invariant circle of a three-dimensional map. Our algorithm computes intersections of the unstable manifold with a finite number of leaves of a chosen linear foliation. This allows us to guarantee the quality of the mesh on this manifold. We compute growing pieces of the unstable manifold by using a method that does not depend on the dynamics on the manif Read More
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Hamilton - Math to Build On: Web Site Contents

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Math to Build On: Web Site Contents Table of Contents || Introduction || Glossary Excerpts from the book Math to Build On, by Johnny and Margaret Hamilton. Why Math to Build On ? Preface Table of Contents Introduction Memory Aid: Fractions & Decimals Angles Degrees Variables & Constants Squaring Numbers Square Roots Right Triangles Memory Aid: Functions Seeing is Believing Glossary Afterword [ Privacy Policy ] [ Terms of Use ] Home || The Math Library || Quick Reference || Search || Help © 1994-2007 Drexel University. All rights reserved. http://mathforum.org/ The Math Forum is a research and educational enterprise of the Drexel School of Education . Johnny & Margaret Hamilton Construction Trades Press Please direct inquiries to main@constructpress.com 23 October 1995 Web page design by Sa Read More
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Harmonic Maps Bibliography

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Harmonic Maps Bibliography The Harmonic Maps Bibliography is an ongoing project to provide a comprehensive and up-to-date bibliography in the area of harmonic maps. It is the joint work of many volunteers. The bibliography is available in a variety of formats: the master file is in TiB format from which BiBTeX, TeX and PostScript versions have been generated. How to access the bibliography Click here to get a copy of the bibliography in the format of your choice. PLEASE DO NOT DISTRIBUTE MODIFIED VERSIONS OF ANY OF THESE FILES. Click here to interactively search the bibliography. (Your browser must support forms for this to work.) For Apple Macintosh users the TiB version of the harmonic bibliography is available as a BinHex-encoded StuffIt archive containing a HyperCard stack. There are t Read More
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Hexaflexagons

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Hexaflexagons Background Hexaflexagons are paper hexagons folded from strips of paper which reveal different faces as they are flexed . The Hexaflexagon described here has six different faces, thus the name Hexahexaflexagon . An interesting chapter that describes Hexaflexagons can be found in Martin Gardner's book Mathematical Puzzles and Diversions , first published in 1959 by Simon and Schuster, and reprinted in both hard-cover and paperback by several publishers including Penguin Books (U.S., U.K. and Australia) and the Chicago Press. The book consists mainly of Gardner's articles published in the Recreational Mathematics column of Scientific American . Most public libraries in the United States either have this book, or can borrow a copy for you from a neighboring library. It is probab Read More
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High School Mathematics

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Topics in High School Mathematics About this page: My name is Martin Cohen. I work as a computer programmer. My college education was in mathematics and I have had a lifelong interest in both mathematics and the teaching of it. On this page I present several topics in high school level mathematics. We are constantly being told about how poorly Americans are doing in science and mathematics. I don't know how much truth there is in all this. I do know that we are living in an age of information and that our schools have not yet adjusted. The ability to reason abstractly is going to be of increasing importance. When I went to college I did some substitute teaching between the end of the college year and the beginning of the public school summer vacation. Nobody expected me to teach anything s Read More
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History of Mathematics - Table of Contents

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And Insights into the History of Mathematics Table of Contents Prologue The First Mathematicians The Most Famous Teacher Al'Khwarizmi & Al Jabr Pi: It Will Blow Your Mind Beginnings of Trigonometry Of Amusement and Recreation The Newer Mathematics Bookstore Bibliography Java Based Chat About Mathematics Comments and Notices "If your computer is having problems, you can send it to certified nerds Check out the site by clicking this Ohio Computer repair link" Read More
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Homepage : Department of Mathematics and Statistics : University of Melbourne

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Uni Links: University Homepage About the University Students Research Community News Events Faculties A-Z Directory Library Uni Search: Faculty of Science Department of Mathematics and Statistics Department Homepage Wednesday 21st November 2007 The Department About Us Enquiries Location Map Find Someone... Prospective Students Schools Program Undergraduates Honours Postgraduates SATELLITE SITES Select Website..... AMSI Australian Mathematical Society (AustMS) Career Profiles ICE-EM Journal of the Australian Mathematical Society Key Centre for Statistical Science MASCOS Maths & Stats Alumni Web Page Melbourne Operations Research (MORe) MUMS National Strategic Review of Mathematical Sciences Research PFPC Real World Maths in Action STAMP Statistical Consulting Centre The University of Melbou Read More
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Hyperspace structures

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Hyperspace structures: Exploring the fourth dimension Produced by Andy Burbanks and Keith Beardmore The hypercube A hypercube is a 4 dimensional analogue of the cube. Details of the construction of this object are given, along with movies of a spinning hypercube. An "inflated" hypercube By inserting new vertices into the edges and faces of a hypercube, it may be "inflated'' to give an approximation to the hypersphere. Hypertorus Adding together three vectors, each rotating in 4-space with different frequencies and amplitudes, produces a trajectory along the surface of a hyper-torus. How the models were produced Details of the mathematics needed to model the structures, and how to turn the numbers into an animation. Useful references A selection of recommended books. Back to: Read More
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Imaging the Imagined: Faceted Objects

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--> A Tiny Library of Faceted Objects: &nbsp Tanks to Teapots More faceted objects: &nbsp The Platonic Solids , &nbsp Tensegrity Structures . --> Object Format Verticies Facets Facet Geom Bytes Filename Cube nff 8 6 squares 270 cube.nff Venus de Milo Statue nff 711 1,416 triangles 42,279 venus.nff Utah Teapot nff 1,976 3,751 triangles 116,656 teapot.nff M-1 Tank obj ?,??? 1,762 multiple 114,041 m1_tank.nff Ludwig Beethoven pov 2,655 2,952 triangles 97,752 beethove.zip manga Girl pov ?,??? 5,944 triangles 129,026 mbabe.zip The Utah Teapot M-1 Tank The Venus de Milo Statue girl Ludwig Beethoven If you're not familiar with the '.nff' format, here it is: The cube has 8 verticies and 6 faces, and the contents of the file 'cube.nff' are shown below. The '.nff' file contains the verticies followe Read More
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InfoUse's PlaneMath

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Text Only InfoUse, in cooperation with NASA, presents: Welcome to PlaneMath, a place to learn cool things about math and aeronautics! Students: Click here to go directly to the PlaneMath activities. Teachers: Click here to register your class and qualify to win prizes. Read More
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Interactive Mathematics Miscellany and Puzzles, Index

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. --> G o o g l e Web CTK Sites for teachers Sites for parents Terms of use Awards Interactive Activities CTK Exchange Games & Puzzles What Is What Arithmetic/Algebra Geometry Probability Outline Mathematics Make an Identity Book Reviews Eye Opener Analog Gadgets Inventor's Paradox Did you know?... Proofs Math as Language Things Impossible Visual Illusions My Logo Math Poll Cut The Knot! MSET99 Talk Other Math sites Front Page Movie shortcuts Personal info Reciprocal links Privacy Policy Guest book News sites Recommend this site --> Sites for teachers Sites for parents Education & Parenting --> --> Interactive Mathematics Miscellany and Puzzles This site is for teachers, parents and students who seek engaging mathematics. Many of the topics are accompanied by Java illustrations. There are Read More
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Ivar's Peterson's Math Trek Archives

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Ivars Peterson's MathTrek Archives Sculpting with a Twist December 22, 2003 Tricky Crossings December 15, 2003 Megaprime Champion December 8, 2003 The Cow in the Classroom December 1, 2003 Pentomino Battleships November 24, 2003 Cool Rationals November 17, 2003 Geometreks November 10, 2003 Strolling Down MÖbius Lane November 3, 2003 Seven-Game World Series October 27, 2003 Election Reversals October 20, 2003 Goldbach Computations October 13, 2003 A Magic Knight's Tour October 6, 2003 The Bias of Random-Number Generators September 29, 2003 Rolling with Reuleaux September 22, 2003 Trimathlon Palindromes September 15, 2003 Pennant Races and Magic Numbers September 8, 2003 Hyperbolic Five September 1, 2003 SET Math August 25, 2003 Golf Clubs and Driving Distance August 18, 2003 Running Lanes a Read More
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Java

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The material presented in the following pages are for middle school students, high school students, college students, and all who are interested in mathematics. You will find interactive programs that you can manipulate and a lot of animation that helps you to grasp the meaning of mathematical ideas. Attention: If Manipula Math Applets and CabriJava do not work on your environment, please download to install Java plug-in from the following URL. http://java.com/en/download/download_the_latest.jsp Collection of 279 Math Applets 91 applets. 25 applets. 64 applets. 29 applets. 23 applets. 9 applets. 38 applets. Manipula Math Products Checks are acceptable for site/network license. Manipula Math Java Lesson If you would like to create java applets for math education, a good starting point is he Read More
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Local index - HTTrack Website Copier

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Index of locally available sites: · amuc/_amuc.html Mirror and index made by HTTrack Website Copier [XR&CO'2002] © 2002 Xavier Roche & other contributors - Web Design: Leto Kauler. Read More
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LTP

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Math & Science Home | Proficiency Tests | Mathematical Thinking in Physics | Aeronauts 2000 9 th Grade Math Practice Questions The test does not keep track of the number right or wrong. If you want to see how you did, simply keep track of all the questions you get right the first time and divide that number by the total questions. This is the math test starting point. You can go directly to the last question you completed or if this is your first time then start by selecting question 1. **NOTE** The test was based on requirements for the the State of Ohio 9th Grade Proficiency test. Questions: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 Please send any comments to: Web Related: David.Mazza@grc.nasa.gov Technology Related: Thom Read More
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Mark Newbold's Java Stuff

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Mark's Newbold's Java Stuff Hyperspace Star Polytope Slicer &nbsp&nbsp Java 1.1 Counter-Rotating Spirals Illusion &nbsp&nbsp Java 1.0 Animated Necker Cube &nbsp&nbsp Java 1.0 Waterman Polyhedra &nbsp&nbsp Java 1.1 Stereoscopic Animated Hyperspace Objects &nbsp&nbsp Java 1.0 (These are all based on the same Java applet.) HyperCube 24-Cell Object Cross-Polytope Simplex The java source code for these. (This was my first Java applet.) My Critique of My Code . Stellations of the Dodecahedron &nbsp&nbsp Java 1.1 Fechner Color Illusion &nbsp&nbsp Java 1.1 #1 (Linear motion) Plus explanations. #2 (Rotating) Guestbook (what other people saw) Morphing Polyhedron &nbsp&nbsp Java 1.1 Pulfrich Illusion &nbsp&nbsp Java 1.0 HyperSlice (Hyperspace Polytope Slicer) &nbsp&nbsp Java 1.2 . More Java Stuff to Read More
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Matematicki Vesnik

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MATEMATICKI VESNIK ISSN 0025-5165 · Electronic Edition Editor-in-chief: Ljubisa Kocinac (Nis) A research journal published since 1949 by the Mathematical Society of Serbia - Serbia and Montenegro. For fastest access: Choose your nearest server! Editorial Submissions Paper version Contents Volume 59 (2007) No. 1–2 , No. 3 Volume 58 (2006) No. 1–2 , No. 3–4 Volume 57 (2005) No. 1–2 , No. 3–4 Volume 56 (2004) No. 1–2 , No. 3–4 Volume 55 (2003) No. 1–2 , No. 3–4 Volume 54 (2002) No. 1–2 , No. 3–4 Volume 53 (2001) No. 1–2 , No. 3–4 Volume 52 (2000) No. 1–2 , No. 3–4 Volume 51 (1999) No. 1–2 , No. 3–4 Volume 50 (1998) No. 1–2 , No. 3–4 Volume 49 (1997) No. 1 , No. 2 , No. 3–4 V Read More
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Math Forum - Geometry Problem of the Week

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Online collaborative problem-solving with the Problems of the Week! Open session, Thursday, 7 - 9 PM (eastern). Check out the Virtual Math Teams project. --> Current Problems of the Week Calendar Latest Solution Teacher Office Problems Teacher Documents Purchase/Trial Account Message Center FAQ A project of The Math Forum @ Drexel = membership required to access these pages Online collaborative problem-solving with the Problems of the Week! Check out the Virtual Math Teams project. Analyzing Angles - posted November 12, 2007 Given some information about angles in this picture, figure out three of the angle measures. Members: View the full problem, Analyzing Angles Enhanced Problem Packet for Teachers [ PDF ] Texas Instruments is a sponsor of the Math Forum [ Privacy Policy ] [ Terms of Use Read More
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Math Forum: Frisbie's Multicultural Math Fair

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--> Stations 5 and 6 Srinivasa's Spheres Exercises in working with circles and pi. Adapted from an original project of Alisa Martines by Miriam Garcia and Dana Tunison Table of Contents || VersiÓn espaÑol CA Mathematics Standards Alignment 6th grade Algebra and Functions 3.1 Measurement and Geometry 1.1, 1.2 Mathematical Reasoning 1.0 7th grade Number Sense 1.2 Mathematical Reasoning 1.0 8th grade Algebra I 1.0, 4.0, 25.0 Students use real-world objects to understand the concept of a constant such as pi. Pi is used in conjunction with using the formulas for the circumference a circle. The students apply their knowledge of pi to a real-world application. DUTIES: The Reader reads the directions aloud to the group. The Scribe records all data on the data sheet. The Listener measures all the i Read More
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Math Forum: Frisbie's Multicultural Math Fair

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--> Activity 8 Sonya's Symmetry Using a manipulative to see and draw reflections. by Miriam GarcÍa Table of Contents || VersiÓn espaÑol MATERIALS: Four 'MIRA' mirrors Four pencils with erasers Worksheet, page 1 Worksheet, page 2 [if possible, print on the back of page 1] DIRECTIONS: The Materials Manager gets the pencils, 'MIRA' mirrors, and 4 Worksheets out of the basket. The Reader reads the directions aloud. Group members work on individual worksheets but remember to help each other as they complete the task. PRODUCT: One completed Worksheet per student showing the student's answers about reflections and their drawings of reflected figures. The Scribe checks off the station on the recording sheet . CLEAN-UP: Put the 'MIRA' mirrors, and pencils in the basket. Place the Worksheets in the Read More
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Math Forum: Frisbie's Multicultural Math Fair

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--> Activity 1 Navajo Burntwater Designs An exercise in using translations and reflections to create symmetrical designs. by Kim Sweeney Table of Contents || VersiÓn espaÑol MATERIALS: One 18" X 24" sheet of construction paper per group Four rulers Four sets of "stair-step" templates [4 pieces per set = 16 total pieces] Colored pencils One pair of scissors DIRECTIONS: The Reader reads these directions aloud. The Materials Manager checks materials. The Listener reports missing materials to the teacher (if necessary). The Scribe folds the paper in half horizontally and vertically, then opens it flat: and draws a two-inch border all the way around the inside: The Materials Manager cuts the paper into four pieces on the folds and gives one of the smaller pieces of paper to each group member. T Read More
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Math Forum: Frisbie's Multicultural Math Fair

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--> by the Mathematics Department Frisbie Middle School Suzanne's Math Lessons About Frisbie Middle School and the Math Fair How to set up the Math Fair Multicultural Math Fair 1995-1999 in English and Spanish Sites where you will find software to use with the activities Student comments in English and Spanish Photos of Frisbie students at the Fair Math Fair links Interdisciplinary links Activities for 1999-2000 Stations CA Mathematics Standards Alignment Stations 1 and 2 -- Tower of Hanoi* Looking at the Mathematics 6th grade - Algebra and Functions 3.0 Mathematical Reasoning 1.0 7th grade - Algebra and Functions 1.1 Mathematical Reasoning 1.0 8th grade - Algebra I 16.0, 25.0 Stations 3 and 4 -- Graphs To Go 6th grade - Algebra and Functions 2.0 Mathematical Reasoning 1.0 7th grade - Alge Read More
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Math Forum: Frisbie's Multicultural Math Fair

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--> Stations 9 and 10 Building A Pyramid A hands-on exercise: from net to geometric solid. by Eldred Marshall Table of Contents || VersiÓn espaÑol CA Mathematics Standards Alignment 6th grade Measurement and Geometry 1.3 Mathematical Reasoning 1.0 7th grade Measurement and Geometry 1.2 Mathematical Reasoning 1.0 8th grade Algebra I 25.0 Students construct a scale model of the Great Pyramid at Giza. In the extension questions students are asked to use given formulas to calculate the surface area and volume of their model. MATERIALS: Four 8 1/2" X 11" sheets of paper Four scissors Four rulers Four black pencils Four red pencils Four blue pencils Tape DIRECTIONS: Note: Each student will make a pyramid individually; however, students should help each other as they are completing the task. Foll Read More
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Math Forum: Geometry Discussion Groups

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--> Geometry Discussion Groups The Math Forum administers eight geometry discussion groups, an online electronic community for all those interested in geometry. Here you may access current news, follow a link to threaded past discussions to browse, or search the archive by keyword. About these newsgroups || Search these newsgroups geometry.announcements Announcements of programs and resources for geometers. 1992-1996 threads: Outline version and Annotated version geometry.college Topics relevant to the study and teaching of college-level geometry. 1992-1996 threads: Outline version and Annotated version geometry.forum News and discussion of the Forum news service. 1992-1996 threads: Outline version and Annotated version geometry.institutes Proceedings of geometry conferences and institutes Read More
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Math Forum: Repeated Reflections of an "R"

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Repeated Reflections of an "R" Dr. Susan Addington California Math Show susan@math.csusb.edu http://www.math.csusb.edu/ formatted and edited by Suzanne Alejandre About This Project || What is a Tessellation? || Tessellation Tutorials || Tessellation Links Objective: [ NCTM Standards Grades 6-8: Geometry] To draw a design with reflectional symmetry and rotational symmetry. Materials: Version 1 prepared "R" sheets with two lines and an "R" already drawn on them pencils optional: Mira (manipulative) OR Version 2 blank paper protractors pencils optional: Mira (manipulative) Procedure: Version 1: - If using blank paper, direct students to follow the examples shown below Draw a horizontal line on the paper. Using a protractor, construct a line that intersects the first line at a 60-degree angle. Read More
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Math Forum: Types of Symmetry in the Plane

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The Four Types of Symmetry in the Plane written by Dr. Susan Addington California Math Show susan@math.csusb.edu http://www.math.csusb.edu/ formatted and edited by Suzanne Alejandre About This Project || What is a Tessellation? || Tessellation Tutorials || Tessellation Links A pattern is symmetric if there is at least one symmetry (rotation, translation, reflection, glide reflection) that leaves the pattern unchanged. Rotation To rotate an object means to turn it around. Every rotation has a center and an angle. Translation To translate an object means to move it without rotating or reflecting it. Every translation has a direction and a distance. Reflection To reflect an object means to produce its mirror image. Every reflection has a mirror line. A reflection of an "R" is a backwards "R". Read More
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Math Titles

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Full List of Math Lesson Titles We have moved our Full list of Lessons to the link here. Please Book Mark it and click this link if your page is not automaticaly redirected. http://db2.mste.uiuc.edu:591/mathed/completelist.html Send comments to mste@uiuc.edu Last Revised: 10/22/97 Read More
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Math2.org

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Math2.org (English | Español ) - - select language / Text only //// Math Reference Tables General Number Notation Addition Table Multiplication Table Fraction-Decimal Conversion Interest Units & Measurement Conversion Algebra Basic Identities Conic Sections Polynomials Exponents Algebra Graphs Functions Geometry Areas, Volumes, Surface Areas Circles Trig Identities Tables Hyperbolics Graphs Functions Discrete/Linear Vectors Recursive Formulas Linear Algebra Other Constants Complexity Micellaneous Graphs Functions Stat Distributions Calc Integrals Derivatives Series Expansions Advanced Fourier Series Transforms You can download this site and view it offline. //// Other On-site resources English-Spanish Math Dictionary This site's user privacy policy . Terms of Use About this web site //// T Read More
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MATHEMATICA BOHEMICA

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MATHEMATICAL INSTITUTE ACADEMY OF SCIENCES OF THE CZECH REPUBLIC MATHEMATICA BOHEMICA CASOPIS PRO PESTOVANI MATEMATIKY ISSN 0862-7959 ? Electronic Edition For fastest access: Choose your nearest server! Contents Volume 127 (2002) Number 4 , Number 3 , Number 2 , Number 1 Volume 126 (2001) Number 4 , Number 3 , Number 2 , Number 1 Volume 125 (2000) Number 4 , Number 3 , Number 2 , Number 1 Volume 124 (1999) Number 4 , Number 2-3 , Number 1 Volume 123 (1998) Number 4 , Number 3 , Number 2 , Number 1 Volume 122 (1997) Number 4 , Number 3 , Number 2 , Number 1 Volume 121 (1996) Number 4 , Number 3 , Number 2 , Number 1 Volume 120 (1995) Number 4 , Number 3 , Number 2 , Number 1 MATHEMATICA BOHEMICA Casopis pro pestovani matematiky a fyziky (from 1872 to 1950) Casopis pro pestovani matematiky ( Read More
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Mathematics Resources Navigation

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The courses and other mathematics resources listed below were developed at the University of Saskatchewan . EMR - Exercises in Math Readiness MRC - Math Readiness Course MFC - Math Foundations Course Conic Sections Course Encryption Course --> (move your mouse over the links to see a description) Read More
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MathMol Library of Math Images

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MathMol Library of Geometric Images To clearly see each of the figures below you will need a 3-D viewer such as Webspace that allows you to rotate the image so t hat you can see all the faces. If you are using Netscape 3.0 simply click on the image. Be sure to click on the right button and change to the Examiner Viewer (under the viewer pulldown). Plane Surfaces Click here to Enter The 3D Figures Library Circle Triangle Rectangle Pentagon Hexagon Trapezoid Designed at the New York University Scientific Visualization Center By Mark Gu Chen and Marvin Rich Read More
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MathWorld: The Web's Most Extensive Mathematics Resource

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Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics Foundations of Mathematics Geometry History and Terminology Number Theory Probability and Statistics Recreational Mathematics Topology Alphabetical Index Interactive Entries Random Entry New in MathWorld MathWorld Classroom About MathWorld Contribute an Entry --> Send a Message to the Team Order book from Amazon Order book from CRC Press 12,720 entries Tue Oct 23 2007 The Wolfram 2,3 Turing Machine Research Prize >> The Math(ematica) behind Television's Crime Drama NUMB3RS >> Search Site Other Wolfram Sites: Wolfram Research Demonstrations Project Integrator Tones Functions Site Wolfram Science more… Latest Mathematica Information >> Complete Mathematica Documentation >> Read More
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Microsoft lesson plans for students and educators

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Quick Links | Home | Worldwide Search Microsoft.com for: Search for Education All Microsoft.com Home At School Product Tutorials Lesson Plans How-to Articles Solutions and Services Product Center How to Buy Partners in Learning Education Programs Worldwide Education Partners Contact Us Home > At School Microsoft lesson plans for students and educators Find new ways to enhance student learning through technology. Click the links below to view lesson plans from Microsoft by subject that cover grades K-12. Geography • Giants of the century • Globalization comes to the table • Life along the Ring of Fire • Map reading in the 21st century • Take a road trip History • Archaeological finds • Current currencies • History and culture through food & Read More
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Natural Math - About

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Contact © Copyright 1996-2007 Natural Math® Read More
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Neutral and Non-Euclidean Geometries

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Next: Contents Neutral and Non-Euclidean Geometries David C. Royster UNC Charlotte Contents List of Figures List of Tables The Origins of Geometry Spherical Geometry Logic and the Axiomatic Method Introduction Sets Universal Sets and Compliments Sentences and Statements Sentence Connectives Biconditionals and Combinations of Connectives Quantifiers Rules of Reasoning Valid Arguments Proof Mathematical Systems Proof Proving Conditionals Proving Biconditionals Proving Proof by Cases Mathematical Induction Proof by Contradiction Proofs of Existence and Uniqueness Proof Creativity Euclid's Mathematical System Incidence Geometry Betweenness Axioms Congruence Theorems Axioms of Continuity Neutral Geometry Alternate Interior Angles Weak Exterior Angle Theorem Theorems of Continuity Elementary Con Read More
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NonEuclid - Hyperbolic Geometry Article + Software Applet

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NonEuclid NonEuclid is a Software Simulation offering Straightedge and Compass Constructions in Hyperbolic Geometry (a geometry of Einstein's General Relativity Theory and Curved Hyperspace) for use in High School and Undergraduate Education. This web site provides the platform independent, NonEuclid software (written in 100% pure Java) together with a 25 page, illustrated, hypertext introductory explanation of Hyperbolic Geometry. NonEuclid has moved. The new site is: http://math.rice.edu/~joel/NonEuclid/ Read More
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Origami

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Origami We welcome you and hope that you enjoy our website. We have learned many new things, and we hope that you will benefit from our hard work. We do know one thing for certain; after you have visited our website, you won't be able to pass up a square piece of paper without a little folding . A Whole Lotta Folding at VMS About Us || Acknowledgements 1999 "Best of Contest" Home || History || Uses || Terms Peace || Poems || Activities || Resources Comments, Questions, or Suggestions... Welcome ! Email Us! --> FastCounter by LinkExchange --> This website was created for ThinkQuest Junior. Copyright March, 1999 Updated June 9, l999 Awards Thank You! 5 Stars Featured June 2, l999 Berit's Best Sites for Children, 5/5 Rating 6/27/99 July 20, 1999 Read More
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PBS | About This Site . Retired Site

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Tuesday, November 20, 2007 by topic... Arts & Drama History Home & Hobbies Life & Culture News & Views Science & Nature Retired Site The "Buckminster Fuller: Thinking Out Loud" site has been retired from pbs.org. Information on the film can be found at http://www.thirteen.org/bucky.cgi . To find related content on pbs.org, try a keyword search , visit a related topic area using the pulldown menu at the top of this page, or browse our Programs A-Z menu. Copyright Agent Feedback Plugins & Downloads Privacy Policy Terms of Use About PBS | About this Site | Support PBS | Producing for PBS | TV Schedules | Station Finder Arts & Drama | History | Home & Hobbies | Life & Culture | News & Views | Science & Nature Feedback | Privacy Policy | Terms of Use Copyright © 1995 - 2007 Public Broadcasting Read More
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Perimeter and Area

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Name_______________________________________________Date_________________________ Mathematics Problem Solving Volume 5, Number 31, May 22, 2000 www.rhlschool.com Perimeter and Area 1. You have a square piece of cardboard that has a perimeter of 12 centimeters. What is the area of the cardboard? a. 144 square centimeters b. 9 square centimeters c. 16 square centimeters d. 24 square centimeters 2. Samantha owns a ranch that covers 48 square miles. She will plant wheat on all the land except for 16 square miles. Samantha will plant wheat on __________ square miles of land. a. 64 b. 32 c. 4 d. 768 3. A rectangle is 5 inches wide. The area of the rectangle is 35 square inches. What is the perimeter of the rectangle? a. 24 inches b. 40 inches c. 30 inches d. There is not enough information to kno Read More
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Perimeter of a Parallelogram

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Perimeter of a Parallelogram Learn Practice Play Explore Feedback Previous Lesson Table of Contents Next Lesson &nbsp Calculating the Perimeter of a Parallelogram The perimeter of a parallelogram is the distance around the outside of the parallelogram. A parallelogram has four sides with opposite sides being congruent. The formula for finding the perimeter is Side A + Side B + Side A + Side B. This could also be stated as 2*Side A + 2*Side B or 2*(Side A + Side B). Return to Top What is the Perimeter of a parallelogram with the given dimensions? = You have correct and incorrect. This is percent correct Return to Top Play Game What is it? Best Score How many correct answers can you get in 60 seconds? Extra time is awarded for each correct answer. Play longer by getting more correct. How fas Read More
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Perimeter of a Rectangle

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Perimeter of a Rectangle Learn Practice Play Explore Feedback Previous Lesson Table of Contents Next Lesson &nbsp Calculating the Perimeter of a Rectangle The perimeter of a rectangle is the distance around the outside of the rectangle. A rectangle has four sides with opposite sides being congruent. The formula for finding the perimeter is Side A + Side B + Side A + Side B. This could also be stated as 2*Side A + 2*Side B or 2*(Side A + Side B) Return to Top What is the Perimeter of a rectangle with the given dimensions? = You have correct and incorrect. This is percent correct Return to Top Play Game What is it? Best Score How many correct answers can you get in 60 seconds? Extra time is awarded for each correct answer. Play longer by getting more correct. How fast can you get 20 more cor Read More
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Perimeter of a square

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Perimeter of a Square Learn Practice Play Explore Feedback Previous Lesson Table of Contents Next Lesson &nbsp Calculating the Perimeter of a Square The perimeter of a square is the distance around the outside of the square. A square has four sides of equal length. The formula for finding the perimeter of a square is 4*(Length of a Side). Return to Top What is the Perimeter of a square with the given dimensions? = You have correct and incorrect. This is percent correct Return to Top Play Game What is it? Best Score How many correct answers can you get in 60 seconds? Extra time is awarded for each correct answer. Play longer by getting more correct. How fast can you get 20 more correct answers than wrong answers? Games, Puzzles and Riddles Return to Top &nbsp Explore Cool !!! Free Things Ho Read More
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Polyominoes: Theme and Variations

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Title of the page: Polyominoes: Theme and Variations Polyominoes: Theme and Variations Content of the page Contents Preface General principle Variations of the theme: polyforms Boxes filled with solid pentominoes References Warning: the cryptic anchors in this document ("#zzpart..") are generated dynamically. It is unwise to use them in bookmark URLs. Click on a section title to return to Contents 1. Preface The purpose of this Web page is to provide information about filling rectangles, other polygons, boxes, etc., with dominoes, trominoes, tetrominoes, pentominoes, solid pentominoes, hexiamonds, and whatever else people have invented as variations of a theme. Several instances of these problems have been commercially available, sold as so-called `computer puzzles'. Such informa Read More
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Polytope Visualization: Peek

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Peek N-dimensional polytope visualization by cross-section and projection Peek is a program to interactively explore arbitrary dimension polytopes through the use of cross-sections and projections. Projections have already been extensively used for this purpose. For instance, those who know what a hypercube is have probably seen the projective views that are so common, such as the two shown here. Fewer people know, however, that the hypercube also exists as a series of 3-dimensional cross-sections: Visualizing higher dimensional objects is, like many scientific visualization tasks, a problem of reducing the dimension of the data. Projections do this by "squashing" the object into a lower dimensional space. But besides a change of coordinate information, the object is essentially unchanged- Read More
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POV-Ray - The Persistence of Vision Raytracer

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Download Hall Of Fame Docs FAQ Resources Community Support Search Welcome The Persistence of Vision Raytracer is a high-quality, totally free tool for creating stunning three-dimensional graphics . It is available in official versions for Windows , Mac OS/Mac OS X and i86 Linux . The source code is available for those wanting to do their own ports. Download and Navigation To navigate about this site please use the navigation links at the top of this page. If you want to download POV-Ray, please visit our download page . If you are interested in our beta-test for SMP and multi-core systems, please visit our beta-test page . We also have a RTR (real-time raytracing) demo available via our RTR beta page . We recommend at least a dual-core for the latter. Contacting Us To contact us, please us Read More
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PROBLEM OF THE MINIMUM ROTATION-SURFACE

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Problem of the Minimum Rotation-Surface It is necessary to find a generating line of the rotation-surface with minimum area. It is known that the line to be found is a catenary. Depending