Sonobe Origami Polyhedra – Links
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
Mathematics in Origami
- 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.
- 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.