2026-09-14 東京大学
厚みのあるパネルで構成されたドミノ・オリガミ
＜関連情報＞
- https://www.c.u-tokyo.ac.jp/info/news/topics/20260914140000.html
- https://www.pnas.org/doi/10.1073/pnas.2615468123
運動学的遷移面を介した折り紙の逐次展開のプログラミング Programming sequential deployment of origami via kinematic transition fronts
Rinki Imada and Tomohiro Tachi
Proceedings of the National Academy of Sciences Published:September 9, 2026
DOI:https://doi.org/10.1073/pnas.2615468123
Abstract
Propagating transition fronts, in which local interactions sequentially trigger state changes, are widely observed across natural, biological, and engineered systems. While such propagation has been engineered using energy-driven instabilities, front propagation governed purely by geometric constraints remains underexplored and lacks a general design framework. In particular, how to program sequential deployment in origami through such kinematic propagation remains an open challenge. Here, we develop a systematic design framework for kinematic transition fronts based on their correspondence with heteroclinic orbits in discrete dynamical systems. Focusing on strips of developable and flat-foldable degree-4 origami vertices, we show that asymmetric coupling between adjacent creases produces nonlinear recurrence relations whose composition generically gives rise to heteroclinic orbits connecting developed and flat-folded states, enabling domino-like sequential deployment. We further show that macroscopic shape can be programmed independently of propagation behavior by exploiting invariances in the recurrence relation, and illustrate the approach through a representative thick-panel origami prototype. These results enable programmable sequential deployment in origami via transition fronts, while also establishing a general framework for kinematic transition fronts in geometrically constrained systems.
