Instructions for Making Origami Polyhedra

Instructions for Making Other Origami Figures

Mathematics in Origami

Using Origami to Teach Standard Mathematics Topics

Origami as a Field of Mathematics

Applications of Mathematical Origami

History of the Sonobe Module

- Tom Hull reveals some of the mathematical questions that arise when creating origami polyhedra on his web page. Check out his origami gallery and many of his articles in Origami USA's The Fold. His book Project Origami is also an excellent resource showing the interaction between mathematics and origami.
- Joseph Wu's origami page includes a discussion of how Joseph went about designing several of his origami animals. He begins with artistic considerations --- the traits he wanted to emphasize in his models. Joseph then talks about the mathematical considerations that helped him design an appropriate base for each animal.
- The Exploratorium on-line magazine article, Exploring Paper, discusses many facets of the revolution that has occured in the origami world in the last few decades as a result of new mathematical techniques.
- Nova has a great video about the Origami Revolution which shows the interaction between origami, mathematics, and technology.
- The October 2001 issue of Siam News featured an article entitled "In the Fold: Origami Meets Mathematics" about Robert Lang's theorem; for any arbitrary number of appendages and percentages of the paper needed to develop those appendages, there exists an origami base that can produce the desired effect from a single square sheet of paper. Robert has created a computer program called Tree Maker that can design a somewhat optimized base for any stick figure outline. This has enabled him to create origami animals that were considered impossible years ago.
- In his book, Origami from Angelfish to Zen, Peter Engel includes many fascinating models and philosophical essays. On her web page, Cathy Lancaster of Classic Cranes includes Peter's essay about the mathematical reasons origami models commonly begin with a square piece of paper rather than some other shape.
- Tom Hull has posted some origami puzzles requiring mathematical thinking on the Origami USA web page.

This work placed into the public domain by the Riverbend Community Math Center.

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This work placed into the public domain by the Riverbend Community Math Center.