A virtual computational paper folding environment based on computer algebraic system

Authors:
Wing-Kwong Wong;Po-Yu Chen;Sheng-Kai Yin
Affiliations:
Department of Electronic Engineering, Graduate School of Engineering Science and Technology, National Yunlin University of Science & Technology, Douliu, Yunlin, Taiwan, ROC;Department of Electronic Engineering, Graduate School of Engineering Science and Technology, National Yunlin University of Science & Technology, Douliu, Yunlin, Taiwan, ROC;Department of Electronic Engineering, Graduate School of Engineering Science and Technology, National Yunlin University of Science & Technology, Douliu, Yunlin, Taiwan, ROC
Venue:
Edutainment'11 Proceedings of the 6th international conference on E-learning and games, edutainment technologies
Year:
2011

Citing 5
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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.