Geometry of Axisymmetric 3D Origami Consisting of Triangular Facets

Abstract

We propose a novel design method for 3D origami consisting of triangular facets with an axisymmetric structure. Our method interactively designs a rotationally-symmetric crease pattern and then analytically calculates the 3D origami with real-time human interaction. The proposed method enables us to change one parameter to axisymmetrically deform the 3D origami while preserving its developability. By changing another parameter, our method leads to a way of folding a 3D origami called "along-arc flat-folding". By using our prototype system, we interactively explore various origami designs before actually making them. Several 3D origami pieces and folding sequences are presented to demonstrate the validity.

Prototype system

Publication

    1. Yan Zhao, Yoshihiro Kanamori, Jun Mitani: "Geometry of Axisymmetric 3D Origami Consisting of Triangular Facets", Journal for Geometry and Graphics, Vol. 21, No. 1, pp. 107-118, 2017. [Link] [Preprint]
    2. Yan Zhao, Yoshihiro Kanamori, Jun Mitani: "Geometry of axisymmetric 3D origami consisting of triangle facets", in: Proceeding of the 17th International Conference on Geometry and Graphics, No. 11, 2016-8. [Preprint]
    3. Yan Zhao, Yoshihiro Kanamori, Jun Mitani: "Simulation of Triangle-based Axisymmetric Rigid Origami", ICMMA 2016 'Origami-Based Modeling and Analysis', 2016-11. [Poster]