• Twirligami and foldables
by George Hart. Paper is a versatile medium for mathematical experimentation and construction http://bit.ly/9553BN


    • Boxes and shapes

    • Fabulous list of origami, boxes, shapes, etc. with step by step instructions: http://www.origami-resource-center.com/modular.html . For more boxes, see the Christmas Maths page on the left, as well as the Shapes page on the left.
    • Math Monday: Geometric Origami by George Hart. The math examples get more sophisticated with a range of folding styles http://bit.ly/aWoouM

    • Teabag Folding:

Perfect Rotational symmetry:external image tnteabag.jpg, with more examples here http://britton.disted.camosun.bc.ca/teabag2/teabag.htm, for example look at the two patterns created from the teabag shown in the corner: external image card14.jpg

ACTIVITY (Paper & Scissors Hexagon and Beyond)
Title:
Folding and Cutting a Snowflake
Comment:
Features instructions (require Adobe Acrobat Reader) for folding and cutting a hexagon. The cutouts in the edges of the folded paper create a snowflake appearance. Paper Snowflake Designs has suggestions for artistic cutouts.

Title:
Make-a-Flake
Comment:
Allows you to cut polygonal wedges from a virtual piece of folded paper with virtual scissors (requires Macromedia Flash Player). Click on Make Your Own Snowflake to begin. Place the (red dot on the) scissors on an edge of the triangle, then click the mouse button. Move the scissors within the triangle, then click again. Continue until the scissors return to an edge. A polygonal wedge will be removed. Repeat, using Undo/Redo as required. Once you Preview Flake, you can Cut Some More or Start Over. Snow Days has a comparable interface. Snowflake Designer produces a similar result - just click your mouse and pass it over the circular sector to create each cutout. Or try Snowflake Builder which allows you to save your snowflake and animate it.

Title:
Paper & Scissors Heptagon
Comment:
Extend your paper folding skills beyond the pentagon and hexagon. Features instructions for folding a heptagon. Or try an Octagon, Nonagon, Decagon (based on a pentagon), 11-gon or Dodecagon (based on a hexagon). All require Adobe Acrobat Reader. The instructions were scanned from Paper and Scissors Polygons, the first edition of Paper and Scissors Polygons and More.

Title:
Kirigami
external image tnpapcut.gif
Comment:
Kirigami is the Japanese art of folding and cutting paper. This program lets you create similar figures on your computer by cutting a polygonal wedge from a virtual piece of folded paper. You can change the regular polygon, your wedge, and your paper color. You can then see the figure that results when the paper is unfolded. Requires a JAVA-capable browser.

Title:
Paper Cutting
Comment:
Become a paper-cutting artist and create beautiful symmetric designs. Choose the way you want the paper to fold. Select your color or pattern and start cutting! Click the "Show" button to see your creation. Requires Macromedia Flash Player.

Title:
Snowflake Factory
Comment:
Make your own virtual symmetrical snowflake ... with any number of sides. Select the number of wedges you want to cut through. Select a hole punch. Click on the white wedge and see it go through to all the other wedges! Select a color for your snowflake, and then an animation. Requires Macromedia Flash Player.

Title:
Vector Snowflake Application
Comment:
Draw your own snowflakes and save them in PDF format. Clean, cross-platform, open-source, and able to generate closed-polygon vector shape output. The companion SymmetriSketch allows you start with a polygon with any number of sides, to pick and choose different symmetry properties, and then create all kinds of different things that would never be mistaken for frozen water.

Title:
Origami Help for Beginners
external image tnbowlady.gif
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 directions and you'll be able to make almost any well-diagrammed model in any book.

Title:
Joseph Wu's Origami Page
Comment:
The home page of origami master Joseph Wu. Contains links to the most comprehensive collection of origami materials available on the world wide web. Accessible diagrams include the traditional Origami Crane (a beautiful presentation with very clear instructions presented using photographs).

Title:
Paperfolding.com
Comment:
Eric's Andersen's origami site includes Origami History, Origami & Math, galleries of insects and dinosaurs, and links to a variety of origami diagrams on the web.

Title:
Origami Diagrams on the Web
Comment:
Includes classic folding techniques and origami diagrams for models (like a simple Jumping Frog) arranged according to level of difficulty. Jasper's Origami Menagerie features galleries of origami models and links to other origami information on the web.

Title:
Pieces 'n Creases - A Fun Guide to Origami
Comment:
After you visit this web site, you won't able to pick up a square piece of paper without a little folding. Includes links to History of Origami and Fun Activities. Winner of the 1999 Think Quest Junior "Best of Contest".

Title:
Oriland: Origami Galore
Comment:
Oriland is a children's world made of origami - half game and half resource. In Oriland Oriversity, you can learn most basic origami points through Animated Origami Symbols (requires Macromedia Flash Player), explore Base Folds that are the basis for folding many models, then take ten Practical Lessons for practicing the folds from the most basic to the complex. More models (with instructions) can be found in the Origami Studio.

Title:
Origami - The Fascination of Folding
Comment:
Fabulous origami web site. Click on any thumbnail for the corresponding instructions. Be sure to explore Origami Tablecards - a collection of 31 tablecards folded from a square.

Title:
Tammy Yee's Origami Page - Easy Paper Folding Crafts for Children
Comment:
Wonderful original artwork combined with origami. If you have access to a color printer, illustrated squares can be printed so the finished project is already decorated.

Title:
Origami for Kids
external image tnorigamiboats.jpg
Comment:
Origami is a fascinating and creative craft for kids, especially if you can find origami models appropriate to their age. Includes links to a variety of models suitable for kids.

Title:
Diagrams, Instructions, and Puzzles
Comment:
PDF instructions for folding 9 origami models from OrigamiUSA. Options include a cup, jumping frog, blow-up bunny and traditional crane. Each requires Adobe Acrobat Reader to view and print.

Title:
Origami Bird
Comment:
Learn to fold a bird from a piece of paper by following animated visual instructions. Designed so you can repeat a step over and over if you need to, or watch the whole bird fold from start to finish. Requires Macromedia Shockwave Plug-in.

Title:
Flapping Bird
Comment:
Learn to fold a flapping bird from a single piece of paper. Excellent graphics. Also available in PDF Format (requires Adobe Acrobat Reader). Animated Origami Diagrams for Flapping Bird and Crane requires Macromedia Flash Player.

Title:
Fabric Origami Workshop
Comment:
Features instructions, photos, and 50 detailed diagrams to make origami boxes and other items by folding fabric instead of paper. Diagrams require Adobe Acrobat Reader.

Title:
Robert Neale's Magic Pinwheel
Comment:
A uniquely wonderful modular design. Despite the fact that the design of the modules is extremely simple, the octagonal wreath can be compressed (in stages) until it becomes a pinwheel. In both these forms, and at each stage in between, the design remains stable. Requires Adobe Acrobat Reader. UFO has similar directions.