A virtual computational paper folding environment based on computer algebraic system

Abstract

Many people enjoy origami, an art of paper folding, since childhood. Origami is a more powerful geometry construction tool than straight and compass. But there are some inconvenience when you practice traditional origami on geometry. In this study, a computational origami environment has been developed. Huzita axioms are implemented with a computer algebra system (CAS). CAS not only deals with fundamental computation of axioms but also can prove some geometric consequences of folding steps. Furthermore, the process of paper folding is visualized. Users can observe the 3D animation of folding steps from different viewpoints. © 2011 Springer-Verlag.