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Journal for Geometry and Graphics 14 (2010), No. 2, 203--215
Copyright Heldermann Verlag 2010

Freeform Variations of Origami

Tomohiro Tachi
Graduate School of Arts and Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-Ku, Tokyo 153-8902, Japan

This paper presents a novel method to construct a 3D freeform surface that can be manufactured by folding a sheet of paper. More specifically, we provide a design system using which the user can intuitively vary a known origami pattern in 3D while preserving the developability and other optional conditions inherent in the original pattern. The system successfully provides 3D origami designs that have not been realized thus far.

Keywords: Origami, developable surface, discrete differential geometry, computer aided design.

MSC: 53A05; 52B10, 52B70

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