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A System for Computational Origami progress report

Hidekazu Takahashi
Organization: Kawase High School
Department: Mathematics
Dorin Tepeneu
Organization: University of Tsukuba
Tetsuo Ida
Organization: University of Tsukuba
Department: Institute of Information Sciences and Electronics

2004 International Mathematica Symposium
Conference location

Banff, Canada

We report progress in the development of a computational origami system, with a non-trivial example of constructing a regular heptagon using our system. The system simulates origami folds based on the geometrical computation of origami faces created and transformed by paper folds. With our system, origamists can efficiently and precisely construct origami on the computer and study various geometrical properties of origami, as well as enjoy constructing artworks. The core of our system is a Mathematica package consisting of Mathematica functions for folding and displaying origami. The package can be loaded and executed from the Mathematica notebook in the usual way. Moreover, we have developed a web interface based on webMathematica technology for accessing our package over the Internet.

*Arts and Humanities > Visual Art
*Mathematics > Geometry
*Wolfram Technology > Special Versions > webMathematica

origami, webMathematica
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*New Ideas in Symbolic Computation: Proceedings of the 6th International Mathematica Symposium   [in Books]