Susan Williams: Mathematical Origami

Here's my gallery of origami tessellations representing the 17 wallpaper groups.

Some applets for wallpaper designs: Escher Web Sketch, JWallpaper. Fanatastic kaleidescopes of each symmetry type. Read here about wallpaper groups.

Instructions for my origami trefoil knot. The basic technique comes from Thoki Yenn's Umulius Rectangulum model, so fold that one first!

For the Mobile Math Teachers' Circle: Origami Resource Center has lots of education links. Thomas Hull has made the Project Origami handouts available online. Read the instructions for downloading, or you will get a blank document!

More origami links

Some of Erik Demaine's curved paper sculptures.

Origami Tessellations group on flickr.

Paper Folding in the Office. A page with a lot of links, many for kids and educators. This site was recommended to me by fans at

Amanda Serenevy's Math on the Street origami page is another educational site with simple projects, problems and handouts.

Robert Lang's page. One of the grand masters, and a pioneer of mathematical techniques.

Photos of Lang and his creations by photographer Frederic Neema.

Short talk by Lang on ITConverstions about computational origami and his open-source code for origami design.

infinite-origami photos. Lots of tessellations, with some how-to.

Flasher Movie on Exploratorium. "Jeremy Shafer shows us what a flasher is." No, parental guidance is NOT required.

Posters for my talks Fold It! Origami Mathematics for the Mobile Mathematics Circle and The Artful Mathematics of Origami for the Mobile Mathematical Society. Instructions for Robert Neale's penultimate polyhedra (including the dodecahedron featured in the poster for my talk) can be found on Jim Plank's page.

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