Abstract

How do you turn a 2-dimensional piece of paper into a 3-dimensional work of art? Origami, the classical art of Japanese paper folding, is loaded with mathematical themes and concepts. What are the common folds in origami, and how do they combine to create 3-dimensional structure? Can you classify different types of origami into classes based upon the types of folds they use? Can you show Kawasaki's Theorem, that if you add up the angle measurements of every other angle around a point, the sum will be 180? (Andersen, 2004) Can you show that Huzita's Axioms, a set of seven rules of paper folding, are true? (Wikipedia contributors, 2006)