61. Designing Paper With roots in the origami arts, today s designers look for folds that can reinforce Huffman For really extravagant folding, turn to the Geometric paper http://www.graphic-design.com/DTG/Design/folding.html

Current Location: Graphic-Design.com Design Department / Paper Folding Fantastic Folds Follow along as we discover the world of wonderful paper folding... Others - Fantastic Cards Single Sheet Book Postcards Inspiration ... Patriotic Design Other Favorites Portfolio Layouts Brochure Folds Laser Paper InkJet Paper ... Zen of the Pen : award winning "Illustrator WOW" author teaches you all the tricks Designing with Paper Folds Last month I challenged the designers in the Design Cafe to submit their favorite folded paper project. We had only a few solutions and idea-starters, but they were fun and effective. As I always advocated in my Creative Layout seminars for Dynamic Graphics "The way you fold the paper is one of those design elements which costs you nothing; if you're going to fold the paper anyway." Paper folding is an age-old art, dating back to the pre-history Chinese civilizations more commonly known as Origami. As a pastime and gift activity the early designers of Origami would fold paper using an incredibly complicated series of folds to create all sorts of shapes, animals and birds. Considered an art, the techniques were passed along from generation to generation until to day it is its own fine arts genre. But that's not the folding we're talking about today. With roots in the Origami arts, today's designers look for folds that can reinforce their information and deliver an effective message to their audiences. These folds can be as simple as single to multiple "parallel" folds meaning folding the paper into parallel panels. From there the sky is the limit of what can be done on the typical folder. If you're folding by hand, a whole new world of folding emerges. But rest assured, what ever fold you can invent; mechanized folders can duplicate if you've got the precise plan and the budget.

62. WannaLearn: Origami Mathematical origami Geometrical Shapes by paper folding Modular origami Polyhedra PopUp Geometric origami. origami Boxes Fabulous origami Boxes http://www.wannalearn.com/Crafts_and_Hobbies/Origami/

More search options Crafts and Hobbies : Origami Home Crafts and Hobbies / Origami ] Related Educational Resources: Free Instructional Sites: How to Make an Origami Crane - a detailed, step-by-step illustrated guide to folding an origami crane, requiring only a square sheet of paper (Rating: 6.74 Votes: 315) Rate this site: Read Comments (34) Anita's Origami - a collection of step-by-step diagrams on how to fold various origami models, including models of Alfred Hitchcock, an American woodcock, a brontosaurus, Chinese lantern, clam, Count Dracula, dragonfly, a Halloween cat, Mr. Spock, panda, Santa Claus, seahorse, shamrock, simple star, teardrop, turkey and more (Rating: 6.59 Votes: 107) Rate this site: Read Comments (7) British Origami Society (Rating: 6.31 Votes: 382) Rate this site: Read Comments (5) Dave's Origami Emporium - Models of the Month - a collection of step-by-step illustrated guides to folding a variety of origami models, including an origami bird, bowtie, butterfly, Christmas tree, dragonfly, drinking cup, envelope, fish, frog, goldfish, house, jumping frog, knight's helmet, lighthouse, lover's knot, mandarin duck, origami Christmas decoration, pig, pigeon, plump crane, rabbit, samurai helmet, seed packet, shirt, snail, swan, tulip, turtle, typewriter, waterlily and more (Rating: 7.15 Votes: 150)

63. Aaron Walden's Geometric Modular Folds I always had an interest in folding the paper geometric models found in mathematic textbooks. I folded this one from Japanese origami paper. http://s89015200.onlinehome.us/thepaperfold/modular.htm

Aaron Walden's Paper Folding Geometric Modular Folds I always had an interest in folding the paper geometric models found in mathematic textbooks.  The cut and fold method was not to my liking, however.  When I was a teenager, I bought the book Lifestyle Origami , by Jay Ansill.  It introduced me to a form of origami known as modular origami, which uses more than one piece of paper to construct a complete model. Dodecahedron This dodecahedron was my favorite of those that I learned from this book.  It was designed by the Rev. Dr. Robert Neale.  It is constructed of thirty identical units, folded from squares.  The units are simple, and can be constructed of most kinds of paper.  I folded this one from Japanese origami paper.  I have made small ones from wrapping paper, to use as Christmas ornaments, and even made a giant one of double-sized construction paper.  This model, called the penultimate dodecahedron, not only serves as a good tool for teaching geometry, it makes a great decorative piece, especially when origami flowers are placed in the open pentagon shaped spaces. Magic Rose Cube This popular geometric modular design, developed by Valerie Vann opens out to form a rose.  This is a before-and-after shot.  The photographic lights washed the rose cube pictures out a little bit.  This same rose cube, and the yellow one below, are pictured in the photo at the top of this page, in their actual colors.

64. Origami Paper Background origami is the art of paper folding. By a sequence of folds, a flat piece of In recent times unit or modular origami, in which geometric constructions http://rachel.ns.purchase.edu/~Jeanine/origami/oriback.htm

Background Origami is the art of paper folding. By a sequence of folds, a flat piece of paper is turned into a stylized animal, flower, box, or other recognizable object, generally 3-dimensional and often with moving parts or serving a utilitarian purpose. The final object is called a 'model'. Origami is associated with Japan, but it is practiced all over the world. The classical models include the water bomb, crane, and flapping bird. In recent times unit or modular origami, in which geometric constructions are built up from so-called modules, has become popular. Origami is both a craft and an art. Origami as practiced in the United States and elsewhere, has developed a certain culture, largely influenced by Lillian Oppenheimer, Alice Gray, and Michael Shall who over time established Origami USA . In this culture, everyone is potentially a teacher as well as a student; a high value is placed on sharing. Similarly, care is taken to giving credit to creators, people who add variations to models, teachers, collectors, and people who write down directions and diagrams. It is to be noted that the recommended practice in origami circles goes beyond the letter of the law concerning intellectual property. Certain attributes of the nature of origami and this culture provide the potential for its use in teaching (and doing) mathematics. Creating an origami model involves following a procedure.

65. Art Lesson Sixteen were able mathematicians and astronomers, emphasized the geometry of paperfolding. You can make origami boxes out of any paper of cardstock weight, http://my.hsonline.net/~kidatart/htdoc/lesson16.htm

Origami Box What do you do with all the beautiful greeting cards you receive at this time of the year? Many people display them, but when the season is over, most of the holiday greetings are thrown in the trash. But you can give the cards new life and help save landfill space by recycling them to make origami-style boxes. An elementary schoolgirl showed us how to make this box many years ago. Today, she is making plans for college! Thanks for the art/recycling tip, Rachel! The ancient art of paperfolding originated in China in the first or second century A.D., and by the sixth century, it had reached Japan. At first, paperfolding was practiced only by the wealthy, because most people couldn't afford to buy paper. The material was scarce in those times, but by the 1300's, it was plentiful. Paper became available to everyone, so more and more people began making what the Japanese called origami (ori means to fold, and gami means paper). At the same time the Japanese were practicing this art form, it was developed by the Moors, a Muslim people who lived in northern Africa. In the eighth century, they invaded Spain. Besides having a great influence on the country's architecture, the Moors introduced paperfolding to the native people. The Moors, who were able mathematicians and astronomers, emphasized the geometry of paperfolding. Today, origami combines the beauty and simplicity stressed by the Japanese and the mathematical correctness and elegance emphasized by the Moors.

66. Origami Brian presents a history of the art of paper folding through storytelling origami being the most requested workshop and is the most flexible in terms of http://www.whimsical-workshop.mb.ca/origami.html

Origami Creating A Balance Inspired by the book "Sadako and The Thousand Paper Cranes" Author: Eleanor Coerr In the Japanese Culture, The Crane is symbolic of health, hapiness, and peace. Legend has it that if you fold 1000 cranes your wish or prayer will be granted. In the times we live, every day human conflict spreads and grows more severe, the environment grows more threatened. There is an overwhelming need to establish harmony in our world. We have to "Create a Balance". The White, Yellow, Red and Black cranes were adapted from a different 1000 crane mobile created in 1992, as 1 of 10, for the Winnipeg International Children's Festival 10th anniversary by Children of the Earth School. They represent the North, East, West and South. The many-coloured cranes were chosen to represent all the people of the earth, the three levels of the mobile to represent, the air, land and water. The mobile to represent "Creating A Balance". With our world and environment in ever increasing chaos and conflict, we have folded these cranes as a symbol of our prayer, that though events such as these, that all the peoples of the world will try to "Create A Balance" so we may all enjoy "Peace, Good Health and Happiness". Here flies 1000 cranes as a gentle reminder for all to do their part in "Creating A Balance" Program "Creating A Balance" is a 1 or 2 week long workshop that introduces students to the Art of Origami as a means of making a creative statement. Brian presents a history of the art of paper folding through storytelling and demonstrations. The students, through their creative efforts create a mobile sculpture. This brings the whole school together for a presentation focusing on the idea of "Creating A Balance" with nature, the environment and with each other.

67. Imaging Maths - Unfolding Polyhedra Not only do paper models of geometric shapes decorate the ceilings of the mathematics origami, the Japanese art of paper folding, is the bestknown http://plus.maths.org/issue27/features/mathart/

about Plus support Plus ... Plus search plus with google home latest issue explore the archive ... news Permission is granted to print and copy this page on paper for non-commercial use. For other uses, including electronic redistribution, please contact us. Issue 27 November 2003 Contents Features Making the grade Imaging maths - Unfolding polyhedra Games people play The prime number lottery Career interview Career interview: Audio software engineer Regulars Plus puzzle Pluschat Outer space Reviews 'Isaac Newton' 'Gamma' 'Remarkable mathematicians' 'The curious incident of the dog in the night-time' ... posters! November 2003 Features Imaging maths - Unfolding polyhedra by Konrad Polthier Paper Model Not only do paper models of geometric shapes decorate the ceilings of the mathematics department where I work, but they are also visual representations of geometric inventions. For example, the paper model shown to the left is the polyhedral version of the "Boy surface" which has the least number of vertices among all polyhedral realizations consisting of triangles. At the time of its original discovery [1], constructing a physical paper model was still a tedious process: any minor inaccuracies in the drawing and cutting process would surely have spoiled the model. To imagine the effort required, have a look at the original drawing [2] of the cutting lines of this paper model.

68. Origami Paper Book Review @ Art-riko.com Selection of Japanese origami folding paper, incense products and 3D Geometric origami Modular Polyhedra by Rona Gurkewitz, Bennett Arnstein http://www.art-riko.com/page--Origami-paper-book-review--origamibook.html

Japanese store of origami paper, incense and natural soap View Cart Your Account Contact Us Home Online Store Product sitemap Categories Origami Incense Natural Soap Art-riko Information Origami Paper Nippon Kodo Origami books review Origami News Store Links Links/Resources Contact Us Terms and Conditions Origami books review Origami Paper by Dover Publications Inc High-quality Japanese origami paper specially manufactured to resist tears and produce clean lines and crisp folds. Each sheet is colored one side only to make it easier to understand the various folds and a sturdy shrink-wrapped folder keeps papers neat and clean until ready for use. Origami by David Mitchell Once the pastime of the Japanese "leisured classes," origami is now to those who want to learn more of the ancient art of paperfolding, as well as for those who want to extend their repertoire. The accompanying book contains: .A brief introduction to the history of origami .A guide to the fold symbols and diagrams .Clear, step-by-step instructions to 24 projects from the traditional to the modern, and from the simple to the complex

69. Mathematics Of Paper Folding - Wikipedia, The Free Encyclopedia The full scope of paperfolding-constructible algebraic numbers (eg whether The problem of rigid origami, treating the folds as hinges joining two flat, http://en.wikipedia.org/wiki/Mathematics_of_origami

Mathematics of paper folding From Wikipedia, the free encyclopedia. (Redirected from Mathematics of origami The art of paper folding or origami has received a considerable amount of mathematical study. Fields of interest include a given paper model's flat-foldability (whether the model can be flattened without damaging it) and the use of paper folds to solve mathematical equations. Some classical construction problems of geometrytrisecting an arbitrary angle, or doubling the volume of an arbitrary cubeare proven to be unsolvable using straightedge and compass , but can be solved using only a few paper folds. Paper folds can be constructed to solve square roots and cube roots; fourth-degree polynomial equations can also be solved by paper folds. The full scope of paper-folding-constructible algebraic numbers (e.g. whether it encompasses fifth or higher degree polynomial roots) remains unknown. The problem of rigid origami , treating the folds as hinges joining two flat, rigid surfaces such as sheet metal , has great practical importance. For example, the Miura map fold is a rigid fold that has been used to deploy large solar panel arrays for space satellites.

70. Key Curriculum Press | Unfolding Mathematics With Unit Origami Through origami folding sequences, basic mathematical ideas reveal themselves origami paper. A package of 400 sixinch sheets—ideal for classroom use. http://www.keypress.com/catalog/products/supplementals/Prod_UnfoldOrig.html

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71. OIGquery Books on the Mathematics of paperfolding. Hamilton Link , origamiL, 8th May, Sundara Row s Geometric Exercises in paper folding has already been http://origami.kvi.nl/cgi-bin/oigquery.sh?file=a0016x/arc00169.txt&msgnr=3

72. Origami- Japanese Paper Folding Star Origami Crane Folding Rose Origami Paper home of origami folding paper. The traditional japanese paper folding craft. star, rose, swan, crane origami folding paper and diagrams. http://orientalpharmacy.com/opane/origami.php

For Fun Love Experience Your First Impression Quiz What You Were in Your Past-Lif... For Fun Love Experience Your First Impression Quiz What You Were in Your Past-Lif... ... Lovely Hearts diagram

73. Origami & Paper Folding Resources Another flavor of origami is modular origami, or the art of folding paper to create complex geometric shapes. Many of the objects in this genre are composed http://www.folksonline.com/folks/hh/tours/1999/origami.htm

Cyberfolks Friendly Guided Web Site Tours Origami Sites for Beginners to Enthusiasts Host Rich Gray It is the old meeting the new, the cultured elegance of origami running smack up against the electronic ripple of the Internet. While it may seem odd to some that this delicate art of paper-folding would thrive in the world's largest paperless medium, that's exactly what it's doing. There are numerous sites on the World Wide Web dedicated to origami. They range from simple "look-what-I-did" photo collections to intricate galleries built upon reams of information. So if you're ready to move beyond the crumpled paper-ball stage (makes a mean projectile though, doesn't it?), follow me as we head into the fold. Paper fold, that is. Joseph Wu's Origami Page For sheer beauty and complexity of design, you just can't beat this site. The photo gallery with its Creatures of Myth should give you a pretty clear idea of what can be achieved with origami and a lot of experience. Joseph also provides links to numerous other origami sites, as well as pointing to folding diagrams in several different formats (GIF, PDF, Postscript). A real source of inspiration! The Garden of Origami The Garden of Origami is another great site to start with. A strong Oriental feel runs through this site, from the simple-yet-elegant design to the recurrent theme of origami as philosophy. There are extensive links to folding patterns on the Internet, as well as a great section on using origami in the classroom to teach such things as geometry and Oriental culture. This is a great resource for teachers.

74. Origami - Another Path/ Deafhomeschool.com Sliceforms Links and resources for exploring these collapsible geometric paper models. origami refers to the Japanese art of paper folding. http://www.deafhomeschool.com/study/crafts/origami.html

Another Path http://www.deafhomeschool.com What's New? Search Site Map Contact Origami Home Crafts Paper Airplanes Tools and resources for making paper airplanes. Paper Engineering An introduction to the art and science of building things with paper. Pop-Ups Learn to make your own pop-up books and cards. Sliceforms Links and resources for exploring these collapsible geometric paper models. Why origami? Origami is an essential tool in the exploration of mathematics and science. Origami demonstrates, in a very concrete way, the fact that simple shapes develop into complex patterns. You will see this over and over again in nature. Origami lets you bring it to your kitchen table. It begins with a square, one of the simplest of geometric shapes, and it ends...well, it doesn't. You can make anything with origami. Origami forms differ in complexity...young children can make the simplest forms. Complex constructions may require many years of practice and skill. We've only just begun our own explorations of origami, so I offer just a few resources for getting started. If you see a general ad for Amazon, please refresh this page and the proper book information, including price, should appear.

75. Investigating Patterns: Symmetry And Tessellations Comment, origami is the Japanese art of folding paper. A folded model is both a piece of art and a geometric figure. Learn these simple symbols and http://britton.disted.camosun.bc.ca/jbsymteslk.htm

Investigating Patterns Symmetry and Tessellations ACTIVITY LINKS These links are coordinated with the chapters and activities of Investigating Patterns: Symmetry and Tessellations ACTIVITY 1 (What is Mathematics?) Title: What is Mathematics? Comment: Observations on the the nature of mathematics from Pathways to School Improvement . Includes: "Mathematics should include experiences that help students to shift their thinking about mathematics and define mathematics as a study of patterns and relationships." Title: Pythagoras: Music and Space Comment: A brief introduction to Pythagoras' observations on the relationship between music and number. Graphics show music intervals expressed as mathematical ratios. If you have a plug-in that can play sound, you can pluck the strings to hear the notes. Title: How to Make Ukrainian Easter Eggs Comment: Tells you everything you need to know about the basics of making pysanky (Ukrainian Easter Eggs). Click on any design and you'll be taken to the instructions for it. Challenge students to explain why the egg at the right from Pysanky Designs (Advanced Designs) is different from the others.

76. Introduction In this paper, we talk about some of the geometry involved origami. origami follows six rules that tell us what folds we can use for constructions. http://cosmos.ucdavis.edu/2003/cluster 6/Daxing Zhen and others/pg4.htm

Introduction Paper folding has been called orikata orisue ” and “ orimono ” (Andersen, 7). The word origami is derived from the words “ oru ” (to fold) and “ kami ” (paper) ( Natarajan , 1). Origami is commonly referred to as a Japanese tradition, although it originated in China in the first century A.D. following the invention of paper ( Natajaran , 1). Buddhist monks brought the secret to Japan in the sixth century A.D. ( Natajaran , 1). Origami is notably beautiful to the eye, but also has real-world applications. Origami also has quite a bit of historical background and a strong connection to mathematics in geometry. In this paper, we talk about some of the geometry involved origami. Given a square origami paper with length one unit, can we use the Huzita’s origami axioms to construct a segment whose length is any given proper fraction of this unit? Origami follows six rules that tell us what folds we can use for constructions. These rules are called Huzita’s Origami Axioms ( Hull , “Origami ” 3-5). These are the origami axioms (an axiom is a self-evident truth): 1. Given two points, p

77. Origami@Everything2.com opposed to the term paperfolding when she opened the New York origami Center, We can be more definite about paper-folding during the Heian Period http://www.everything2.com/index.pl?node_id=30042

78. Origami@Everything2.com to the term paperfolding when she opened the New York origami Center, Although some basis for paper-folding had been set in the Heian Period, http://www.everything2.com/index.pl?node=origami

79. 96m51024 51M15 Geretschläger, Robert Euclidean Constructions And Conversely, almost every folding (or origami) construction can be also The paper ends with a list of eleven papers on mathematics and origami. http://www.math.niu.edu/~rusin/known-math/97/origami

80. LA Weekly: Columns: Quark Soup: Beyond The Fold In the process they are turning paper folding into a science as much as an art. Let’s say you want to fold a scorpion. Traditional origami techniques http://www.laweekly.com/ink/04/09/quark-wertheim.php

The Problem WILLIAM J. KELLY takes an airplane ride and sees firsthand the evidence of our killer air and then goes in pursuit of those on the ground who should be held accountable. He also wanders out to San Pedro to see a major source of our filthy air. JEFFREY ANDERSON follows the stench of politics to Sacramento JUDITH LEWIS profiles the Then LEWIS finds out our refrigerators are more efficient than our cars D.J. WALDIE remembers the sore lungs of an L.A. boyhood. KATE SULLIVAN records the musical life of dirty air CHRISTINE PELISEK and MEHAMMED MACK share the daily struggles of people dealing with respiratory problems , and the crusaders fighting to clean up the air ALAN RICH hits one of the low notes of smog cancer hot spots 50-year timeline the worst polluters and diagrams of what's in smog and how it forms The Solutions Our suggestions for ways out of this mess,

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