61. Optical Illusion Art As students work with the software they appreciate how geometry is used to These illusions are done with tessalations using gradients to achieve the http://www.cs.brown.edu/stc/outrea/greenhouse/nursery/optical_illusions/home.htm

Welcome! The following activities are designed to be taught independently as well as together for a more comprehensive understanding of Optical Illusions. I hope they meet with the needs of any teacher who is interested finding new ways to integrate disciplines within curriculum lesson plans. All of these activities are taught by Visual Arts teachers Judith Keenan and Susan Petrarca to the general population of students at West Warwick High School. We see these students as the future generation of art appreciators. The "student outcomes" of this lesson are as follows: -Students will become familiar with the history of Illusion in the arts and how it has influenced the way artist create images today. - Students will realize how math and art are integrated when creating visual images. -Students will acquire an appreciation for how 2D patterns and color association affect their visual perception -Students will acquire tech skills on the computer that will enable them to create basic designs in a draw program.

62. Optical Illusion Art As students work with the software they appreciate how geometry is used to Theseillusions are done with tessalations using gradients to achieve the value http://www.cs.brown.edu/stc/outrea/greenhouse/nursery/opart/OpArt.html

Welcome! The following activities are designed to be taught independently as well as together for a more comprehensive understanding of Optical illusion. I hope they meet with the needs of any teacher who is interested finding new ways to integrate disciplines when teaching a lesson within your curriculum. All of these activities are taught by Visual Arts teachers Judith Keenan and Susan Petrarca to the general population of students at West Warwick High School. We see these students as the future generation of art appreciaters. The "student outcomes" of this lesson are as follows: -Students will become familiar with the history of Illusion in the arts and how it has influenced the way artist create images today. - Students will realize how math and art are integrated when creating visual images. -Students will acquire an appreciation for how 2D patterns and color association affect their visual perception -Students will acquire tech skills on the computer that will enable them to create basic designs in a draw program. ........ENJOY.........Lucille Mota-Costa , Fine Arts Coordinator - West Warwick Public Schools

63. Foyer glue sticks and construction paper were used to create the Escher style tessalations. and the marks used in the overall assessment of geometry and spatial sense http://www.tldsb.on.ca/schools/KPMansonPS/WEB_site/Office.htm

THE TRANSFORMING MATH FAIR Transforming Math Fair Tiling with Geometers Sketch Pad Escher Style Tessellations Cookie Cutter Tiles in Hyperstudio ... K.P. Manson Public School Office The Transforming Math Fair was created to allow students the opportunity to acquire knowledge and develop skills related to transformational geometry. Expectations from Grade 6, 7 and 8 Mathematics, Geometry strand, from Oral and Visual Communications and from Visual Arts were addressed. Timing Two full school days were dedicated to this program. The school schedule had to be adjusted to allow each day to be divided into 4 equal periods of about 75 minutes. Setup Six work places were setup around the school. These included: library computer lab, resource room, gym, stage, and two classrooms. Each work station needed to accommodate up to 9 students. Equipment In addition to the computers in the lab, other computers were brought into a classroom so that each student, up to 9 in a group, would have access to a work station.

64. AG Memory Page 3rd Nine Weeks Grasping geometry with Tittilating tessalations; Reading EnhancementUnit. 4th Nine Weeks Critical Thinking Through Grames. Fifth Grades http://www.lhes.ccs.k12.nc.us/AGmemory.htm

AIG Curriculum The 4th grade AG students worked on a special project called Polyhedraville. Second Grades are being serviced both with large and small group activities through our Discovery Program being taught by Mrs. Bryson. Third Grade: 1st Nine Weeks: Notable Novels for Nimble Minds 2nd Nine Weeks: Mathematical Systems 3rd Nine Weeks: Medieval History and Chess 4th Nine Weeks: Endangered Species Fourth Grades: 1st Nine Weeks: Introducing the Brain 2nd Nine Weeks: Geometry with Polyhedraville 3rd Nine Weeks: Notable Novels for Nimble Minds 4th Nine Weeks: Publishing Perambulation, Novel Study Fifth Grades: 1st Nine Weeks: Research unit * DAR Essay Contest 2nd Nine Weeks: Jury Trials in the Classroom 3rd Nine Weeks: Algabraically Speaking: The Language of Algebra 4th Nine Weeks: Poetry, Analogies Logic If you have any questions or concerns about the AIG program at Long Hill School, both Mrs. Bryson and Mrs. Tubbs will be happy to speak to you back

65. CIS Technology Math Links Cool Math for Kids, ADDITION / COUNTING, Interactive Math Games, Virtual tessalations.Abacus Resources, JAVA Gallery of Interactive Online geometry, http://www.cantonschools.org/~doliver/Thematic pages/math.html

66. Prague Public Schools - Mathematics 7-12 Homework Algebra p. 276 224 Even. geometry worksheet. Advanced Algebra worksheet. Precalculusreview for test. Logical Thinking tessalations using rotations. http://www.praguepublicschools.org/vnews/display.v/ART/2005/02/07/41b4684bcd5fd

Accessibility Version of this Site Sign Up for the News Update (enter email address) more info Monday September 26, 2005 Front Page Academics Athletics Board of Education Elementary Lunch Menu News Secondary Title I ... Archives Interact: Calendar Secondary : Math Mathematics 7-12 Homework Homework for week of 3-29-05 Updated Daily by Lisa Hamling March 28, 2005 Tuesday, March 29, 2005 Math 7 p. 418 #2-16 all Math 8 p 554 #1-28 all Algebra p. 345 #1-34, 38 Geometry p.569 # 2, 3, 4 Advanced Algebra go over test ch 13 Precalculus review worksheet Wednesday, March 30, 2005 Math 7 Math 8 Algebra Geometry Advanced Algebra Precalculus Thursday, March 31, 2005 Math 7 Math 8 Algebra Geometry Advanced Algebra Precalculus Logical Thinking Friday, April 1, 2005 Math 7 Math 8 Algebra Geometry Advanced Algebra Precalculus SEARCH: Archives Google Enter Keyword(s): options Front Page Academics Academics : School Improvement Plan ... Powered by OCS

67. Current Service Learning Projects, Cornerstone Academy Students will utilize our studies of tessalations, area and perimeterin geometry to design and make quilts that will be donated to local...... http://it.springbranchisd.com/schools/csa/cornerstone/service/service2.asp

68. The Green Island Formation In Forest Fire Modeling With Voronoi Diagrams (Resear geometry of Burned Areas due to Surface Fire Sprea.. (context) Roque, Nunes -1998 1 Wildland Fires (context) - Albini - 1984 1 Spatial tessalations Concepts http://citeseer.csail.mit.edu/35160.html

The Green Island Formation in Forest Fire Modeling with Voronoi Diagrams (Make Corrections) Waldir L. Roque and Howie Choset Mechanical Engineering Department Carnegie... Home/Search Context Related View or download: brown.edu/cgc/cgc98/final/final6.ps Cached: PS.gz PS PDF Image ... Help From: brown.edu/cgc/cgc98/schedule (more) (Enter author homepages) Rate this article: (best) Comment on this article (Enter summary) Abstract: During the last couple of years much attention has been given to an important ecological problem, namely forest wildfire [1]. In a recent report [5] it has been shown that, starting with very simple assumptions, a Voronoi diagram structure [4], [3] naturally emerges as the landscape geometry generated by the spread out of forest wildfire. In this paper, we provide a tool that may help people locate refuge zones inside a forest fire using a Voronoi growth model. Forest fires is a complex problem ... (Update) Active bibliography (related documents): More All Sensor Based Exploration: The Hierarchical Generalized Voronoi .. - Choset, Burdick Computational Geometry and Facility Location - Robert, Toussaint (1990) ... Computational Geometry for Document Analysis - Toussaint (1994) Similar documents based on text: More All Constructing Approximate Voronoi Diagrams from Digital Images .. - Roque, Doering (2003)

69. AMU CHMA NEWSLETTER #5 (5/25/1990) Paulo Maculuve On the geometry of some Traditional Plaiting Patterns. repeated patterns on a strip, tessalations in the plane, occuring in African art, http://www.math.buffalo.edu/mad/AMU/amu_chma_05.html

AMUCHMA-NEWSLETTER-5 Chairman: Paulus Gerdes (Mozambique) Secretary: Ahmed Djebbar (Algeria) Members: Hilda Lea (Botswana), George Njock (Cameroon), Maassouma Kazim (Egypt), Salimata Doumbia (Ivory Coast), J.Mutio (Kenya), Mohamed Aballagh (Morocco), Lawrence Shirley (USA), Abdoulaye Kane (Senegal), Geoffrey Mmari (Tanzania), Mohamed Souissi (Tunisia), Venie Timkumanya (Uganda), Claudia Zaslavsky (USA) TABLE OF CONTENTS NEWSLETTER #5 Objectives of AMUCHMA Meetings 2.1 Papers presented at recent meetings Current research interests Suggestions for further research 4.1 Hypatia of Alexandria (c.370-415 a.d.) Education Have you read? Notes and queries Anouncements ... back to AMUCHMA ONLINE 2. MEETINGS 2.1 PAPERS PRESENTED AT RECENT MEETINGS * At the 2nd East African Symposium on Current Research Trends in Mathematics, Computer Science and Mathematics Education (Arusha, Tanzania, September 11-16, 1989), a paper by Paulus Gerdes "On Mathematical Elements in the Tchokwe 'Sona' Tradition" (Cf. : 5, AMUCHMA

70. Mathematics OCTOBER, 4, 4, Computers and Other Math Tools, 11, 5, geometry, 18, 6, The Makingof Tens, 17, 3, Sequences and Ratios, 24, 4, tessalations/Transformations, http://www.wsbe.org/ITV/mathnw.htm

Mathematics Challenge of the Unknown Grades 4-12 The Eddie Files Grades 3-6 The Eddie Files-Box 2 Grades 3-6 Futures Grades 7-12 Futures 2 Grades 7-12 Geometry Journey Grades 5-12 Math Monsters Grades K-1 Math Vantage Grades 6-9 Mathica's Mathshop Grades K-1 Mathica's Mathshop 2 Grades 2-3 Maximum Dimensions Grades 3-6 The Power of Algebra Grades 8-9 Solve It Grade 6 Return to Table of Contents Recording Rights: In CHALLENGE OF THE UNKNOWN GRADES 4-12 "The Challenge of the Unknown" is aimed at students who view math as a school survival skill and who have trouble understanding its relevance in their lives. It helps math students create and solve their own problems. In documentary segments, the programs show men and women wrestling with problems in the real world. Silent comedy segments demonstrate how problems cannot be solved by someone who in not thinking, but trying to force the problem to yield an answer. BROADCAST SCHEDULE Wednesday 12:00-12:25 APRIL Situations/Where Am I? Information? Where Do I Go? Restatement?....

71. Math/Chem/Comp 2000 Th., and Sachs, H., On Spectra of Polyhedra and Hexagonal tessalations on Torus . Osawa, E., On the Shape of Fullerenes geometry in Chemistry. http://mcc.irb.hr/text_old.html

June 19-24, 2000, Dubrovnik Croatia was held under the joint auspices of Inter-University Center Dubrovnik Croatia Rugjer Boskovic Institute ... Croatia The International Society for Mathematical Chemistry and The International Society for Theoretical Chemical Physics Program STRUCTURE OF THE MEETING Monday, June 19, 2000 OPENING CEREMONY Morning Session: Mathematics in Art, History, and Sciences Poster Session: Posters remained exhibited till Tuesday evening Afternoon Session: Discrete Mathematics and Topology in Chemistry and Physics Tuesday, June 20, 2000 Morning Session: Mathematical Chemistry and Physics Afternoon Session: Computations and Modelling in Science and Technology Wednesday, June 21, 2000 Morning Session: Session on Advanced Materials (organized by Zorica Crnjak-Orel , Edward C. Kirby, Stane Pejovnik, and Aleksandra Turkovic) - Part I Poster Session: Posters remained exhibited till Thursday evening EXCURSION Mali Ston Vila Koruna Thursday, June 22, 2000 Morning Session: Session on Proteins, Bioinformatics, and Biocomputing (organized by Davor Juretic , Gabor Naray-Szabo, and Nenad Raos) Afternoon Session: Courses Pre-Dinner Talk CONFERENCE DINNER Friday, June 23, 2000

72. SummerFEST 2005 geometry Builders, PM, 1 2, Yes Create tessalations and solve tangram puzzles.Enjoy learning about the world of geometry Builders, AM, 3 - 4, Yes http://wvsummerfest.org/scheduleViewer.php

Home FAQ Games Class Availability Class Availability All Weeks Week #1 Week #2 Week #3 ... Week #6 Class Name Time Grades Available All Weeks Week #1 Wild About Wild AM Yes Description: Dare to explore creatures of the wild and the environments in which they live. Design a cobra hat. Build a clothespin alligator. Make a vulture puppet and create a macaw of your very own. Come get wild about the wild! Space Shuttle to the Stars PM Yes Description: Be an astronaut and visit planets and stars. Make a space suit, launch a balloon rocket. Enjoy space snacks while on board this exciting trip to outer space. Lets Play Math AM Yes Description: Come and "play math." Come find out how pentominoes and tangrams can teach you more about math. Learn some new games that will help you explore the world of math. Lets Check Out Chess PM Yes Description: Learn the basic moves of each chess piece, and the language of chess. Learn each part of the game and some strategies. This is the perfect class for those just beginning in chess. SummerFEST Potpourri Yes Description: Enjoy a variety of learning activities, field trips, and structured games. Spend the late afternoon together with friends and new experiences. Each day; each week will bring new things to do and enjoy! [This class will be for students wanting a third class from 2:30 - 5:30. Students can be picked up beginning at 4:30.]

73. A Hotlist Of Math Links a very comprehensive collection of information about teaching elementary geometry . from entry level ideas to Escher in this site about tessalations. http://www.kn.pacbell.com/wired/fil/pages/listmathlinpa.html

A Hotlist of Math Links An Internet Hotlist on Math Links created by Paul G. Becher School District of Waukesha, WI Introduction Teacher resources and links Student resources and links ... Ready to print problems Introduction This page allows me to keep a handy list of math sites. It is a collection that changes the most during the summer when I have extra time to explore new sites. If you find dead links please let me know. The Internet Resources Grade 1 links Grade 2 links Grade 3 links Grade 4 links ... Wisconsin Mathematics Academic Standards - Scroll to the bottom of this page to link to the standards. Illuminations - The Marco Polo Math Link - This is a direct link to the index of the interactive tools on this site. Click on the appropriate grade level at the top of the page to find things for your grade. National Library of Virtual Manipulatives for Interactive Math - Wow! Take a look at this! I found it intriguing. So many ways to model math interactively on the internet. The Shodor Education Foundation - This is a second net site with many interactive math models for concepts and operations. K-3 Webquests - These look like wonderful sites. They are categorized by topic rather than subject area. They seem to be worth the time it takes to preview.

74. Bookmarks For Charlie Pitrolo V. geometry ( 6.30 6.38 ). http//www.aimsedu.org/ Geopanes ( IGO 6.36 ) Worldof Escher - http//www.WorldOfEscher.com/ gallery of tessalations, drawings VI. http://skyscraper.fortunecity.com/temple/864/cpbook.htm

web hosting domain names photo sharing Bookmarks for Charlie Pitrolo ed443 mirror site scheduling MyTime Visto.com 15 MB free online storage here. Jump! MagicalDesk AnyDay.com Schedule Online ... SuperCalendar Reference A Word With You Encyclopedia.com from Electric Library Email Free email services eFax Service by eFax.com Home Page - Sign Up Now! It's FREE! ZDNet Mail Activegrams Fight Spam on the Internet! ... USA.net Plugins Download RealPlayer WELCOME TO THINGWORLD.COM! HEADSPACE web page components FortuneCity - Free Web Space, Free Email, Free Chat Chat Talk City Home Mirabilis LTD. - Network Status Welcome to Yahoo! Chat Web Page Dev. Web Tools NetStudio-Web Graphics-NetStudio.com-Free Online Service Response-O-Matic Form Wizard! Freedback.com: FREE feedback forms without CGI! Escati - Free Services - This Is Thailand - LinkOpp Gold ... Web Diner Blue Plate Specials - Free Tools for Your Web Site Banners Courtemanche Custom Banners Courtemanche Custom Banners, Web Design, Gifs, Logos and Custom Animation KateKreates Graphics Web graphic design, 3D and animation. Free banners, animated banners, logos, complete web site facelifts, new web sites.

75. Math Sites Manipulatives for Number Operations, Algebra, geometry, Measurement, Tessalation Town Make tessalations with many different designs and shapes. http://www.ofallon90.net/kampmeyer/Math_Sites.htm

Math Facts - timed addition, subtraction, multiplication, and division problem. You decide how hard, how long, and which numbers are used in the problems. When you are finished, you can get a list of problems that you got wrong and you can see the results of all of the games played in that sitting. Alternatively, you may download Math Facts to your own PC so you that you can use it without being connected to the Internet. To download a Zip file containing the Math Facts web site, click download . You can use a program like WinZip to uncompressed the 'mathfactsz.zip' file, which will create a folder called "mathfacts" on your hard drive (in a location set via the program you used to uncompress). Within the 'mathfacts' folder, double click on 'mathfacts.html' to begin using Math Facts (this should open your default browser program). Macintosh users may need to open the 'mathfacts.html' file via the File menu within a browser program instead. ArithmAttack - timed addition, subtraction, multiplication, and division problem. You decide how hard, how long, and which numbers are used in the problems.

76. Texas Section, MAA Examples from precalculus, number theory, geometry, and analysis will be given . regular divisions of the plane, hyperbolic tessalations, polyhedra, http://orgs.tamu-commerce.edu/maa/abs-05.html

Texas Section, MAA University of Texas at Arlington, April 14-16, 2005 Abstracts for Contributed Paper Sessions (alphabetically by author) Institution = Texas Lutheran University Title = Modeling News Stories Using Technology Abstract = In this paper, we will share sample projects from a capstone Honors class where teams of students from diverse fields such as English, Communications, Music, Business, Social Sciences and Natural Sciences use MINITAB and MAPLE to investigate news stories. This is an attempt to show that mathematics and statistics are not about number crunching and endless computations, rather, they are tools which can help us analyze, question and interpret news stories on issues such as crime, heath risks, economic forecasts and ethnic bias. NAME = Ryan Acosta Institution = Trinity University Title = Computing Isodose Curves for Radiotherapy Treatment Plans Abstract = Radiation therapy is moving towards Intensity Modulated Radiation Therapy (IMRT) and with it a trend towards inverse treatment planning. The metrics of a treatment plan consist of important conformality indices such as the Ian Paddick Conformality Index (IPCI), Dose Volume Histograms (DVH), as well as isodose lines.

77. Cool Math .com - Geometry Lessons - What Are Tessellations? navbar Math Sites kids ages 13100 algeba teachers parents math games science Spike s Game Zone navbar NEW from Coolmath.com, http://www.coolmath.com/tesspag1.htm

What are Tessellations? Basically, a tessellation is a way to tile a floor (that goes on forever) with shapes so that there is no overlapping and no gaps. Remember the last puzzle you put together? Well, that was a tessellation! The shapes were just really weird. Example: We usually add a few more rules to make things interesting! REGULAR TESSELLATIONS: RULE #1 : The tessellation must tile a floor (that goes on forever) with no overlapping or gaps. RULE #2 : The tiles must be regular polygons - and all the same. RULE #3 : Each vertex must look the same. What's a vertex? where all the "corners" meet! What can we tessellate using these rules? Triangles? Yep! Notice what happens at each vertex! The interior angle of each equilateral triangle is 60 degrees.....

78. Dual Tessellation -- From MathWorld SEE ALSO Cairo Tessellation, Tessellation. Pages Linking Here. REFERENCES.Wells, D. The Penguin Dictionary of Curious and Interesting geometry. http://mathworld.wolfram.com/DualTessellation.html

INDEX Algebra Applied Mathematics Calculus and Analysis Discrete Mathematics ... Alphabetical Index DESTINATIONS About MathWorld About the Author Headline News ... Random Entry CONTACT Contribute an Entry Send a Message to the Team MATHWORLD - IN PRINT Order book from Amazon Geometry Plane Geometry Tiling ... Geometric Duality Dual Tessellation The dual of a regular tessellation is formed by taking the center of each polygon as a vertex and joining the centers of adjacent polygons. The triangular and hexagonal tessellations are duals of each other, while the square tessellation it its own dual. Williams (1979, pp. 37-41) illustrates the dual tessellations of the semiregular tessellations. SEE ALSO: Cairo Tessellation Tessellation [Pages Linking Here] REFERENCES: Wells, D. The Penguin Dictionary of Curious and Interesting Geometry. London: Penguin, pp. 60-61, 1991. Williams, R. The Geometrical Foundation of Natural Structure: A Source Book of Design. New York: Dover, p. 37, 1979. CITE THIS AS: Eric W. Weisstein. "Dual Tessellation." From MathWorld A Wolfram Web Resource.

79. Tessellations Student tessalations http//mathforum.org/alejandre/students.tess.htmlSamples of student work. http://42explore.com/teslatn.htm

The Topic: Tessellations Easier - A tessellation is created when a shape is repeated over and over again. All the figures fit onto a flat surface exactly together without any gaps or overlaps. Harder - A tessellation is a repeating pattern composed of interlocking shapes (usually polygons) that can be extended infinitely. The tiling for a regular (or periodic) tessellation is done with one repeated congruent regular polygon covering a plane in a repeating pattern without any openings or overlaps. Remember 'regular' means the sides of the polygon are all the same length, and 'congruent' means that the polygons fitted together are all the same size and shape. A semi-regular (or non-periodic) tessellation is formed by a regular arrangement of polygons, identically arranged at every vertex point. Totally Tessellated (A ThinkQuest Project) http://library.advanced.org/16661/index2.html

80. Wiskunde En Kunst This carefully designed sequence of algebra and geometry problems illuminatesthe ratio and its many applications. Students learn about squares and Golden http://www.rhombus.be/contents/nl/d177.html

if(parent.wm)var wm=parent.wm targetFrame="self"; parentFrame1="toc"; parentFrame2="toc"; var tf=topFrame; Home Boeken dw(ld('LD_PICK_CURRENCY','')) Wiskunde en kunst Inversions by Scott Kim dw(qandi(['P299','0.00','0','','1'])); Inversions is an exciting way to introduce your students to basic concepts of symmetry. The book contains over 60 mind-boggling lettering designs by Scott Kim, the mathematical artist Isaac Asimov called "the Escher of the alphabet". Each word in "Inversions" exhibits some kind of striking geometrical symmetry. For instance, the word MIRROR is written with reflectional symmetry, SYMMETRY reads the same upside down, and INFINITY spirals off to infinity. The accompanying essays connect mathematics and symmetry with art psychology, and music. There is also a section that shows students how to create their own inversions. Book : 128 pp Harmonious Connections : Maths and Music dw(qandi(['P300','0.00','0','','1'])); This book examines the music of various cultures, sounds heard in nature, and explains the mathematics involved, such as patterns and Fibonacci numbers. The striking accompanying full-colour poster (56 cm ´ 81 cm) illustrates these connections. Book : 168 pp.

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