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
Origami as a Field of Mathematics
- Several books have been written summarizing the presentations made at a
series of international Origami in Science, Mathematics, and Engineering
(OSME) Conferences. For a visual
overview of the field of mathematical origami see Erik Demaine's photos
from the 3rd International Meeting of OSME. Searching for OSME online will
lead to many books, abstract, and photographs.
- Liz Newton's excellent article, The Power of Origami explains more details about the history of mathematical origami, Huzita's origami axioms, origami constructions, and computational folding.
- Eric Weisstein's World of Mathematics
gives an overview of some
results in mathematical origami.
- Tom Hull's mathematical origami page
is the most comprehensive source for information on mathematical origami
that I have seen. The notes from his
Combinatorial Geometry class
survey many approaches to mathematical origami. Fields of mathematics
invoked in Tom's course are convex polyhedral geometry
Huzita's origami geometry axioms,
and combinatorial modelling of paper folding
Tom has also published a number of
mathematical origami papers.
To get a feel for the scope of the field of mathematical orgiami, you can
browse through Tom Hull's Origami Math
Bibliography and the proceedings of the 3rd International
Meeting of Origami Science, Math, and Education.
- Robert Lang's web
page shows his many amazing origami designs and also discusses
mathematical origami. You can also download his TreeMaker
algorithm which can be used to design new origami bases.
- Helena Verrill
mathematical origami questions on her web page. She also has a paper on Origami Tessellations.
- Koshiro shows how to use basic rules of origami construction to
divide a square paper into arbitrarily many equal strips. This
discussion includes proofs of several of Haga's theorems.
- Erik Demaine's Folding and Unfolding
Page gives an overview of folding and unfolding problems with links to
mathematical details and papers. Erik's primary interest is in finding
algorithms that characterize foldability in different objects. The objects
being folded range from paper, to robot arms, to proteins. See also Joe
O'Rourke and Komei Fukada's page on unfolding convex
- David Eppstein, the founder of the Geometry
Junkyard, has posted a mathematical bull session on the Margulis
Napkin Problem. This problem asks for a proof that it is
impossible to fold a unit square to form a flat shape whose perimeter
is greater than 4. In the course of the discussion, the participants
realize that the problem is wrong as stated -- there is a way to fold
a unit square to form a flat shape whose perimeter is greater than 4,
and this turns out to be the key to creating many origami animals. Helena Verrill
gives a clearer presentation of how to construct an origami
- David Eppstein's site hosted another mathematical bull session on
Problem. This problem asks for the maximum volume a teabag can
hold. A number of mathematicians contributed to the original
- Roger Alperin defines and proves theorems about
numbers that are constructible by origami folds.