Yoshimura origami is a classical folding pattern that has inspired many deployable structure designs. Its applications span from space exploration, kinetic architectures, and soft robots to even everyday household items. However, despite its wide usage, Yoshimura has been fixated on a set of design constraints to ensure its flat-foldability. Through extensive kinematic analysis and prototype tests, this study presents a new Yoshimura that intentionally defies these constraints. Remarkably, one can impart a unique meta-stability by using the Golden Ratio angle to define the triangular facets of a generalized Yoshimura. As a result, when its facets are strategically popped out, a ``Golden Ratio Yoshimura'' boom with $m$ modules can be theoretically reconfigured into $8^m$ geometrically unique and load-bearing shapes. This result not only challenges the existing design norms but also opens up a new avenue to create deployable and versatile structural systems.
翻译:吉村折纸是一种经典的折叠模式,已启发众多可展开结构的设计。其应用范围涵盖太空探索、动态建筑、软体机器人乃至日常家居用品。然而,尽管应用广泛,为确保其可平面折叠性,吉村折纸的设计一直受限于一组固定约束。通过深入的运动学分析与原型测试,本研究提出了一种有意突破这些约束的新型吉村折纸结构。值得注意的是,通过使用黄金比例角来定义广义吉村折纸的三角形面片,可以赋予其独特的亚稳态特性。因此,当有策略地将其面片弹出时,一个具有 $m$ 个模块的“黄金比例吉村折纸”臂架理论上可被重构成 $8^m$ 种几何形态独特且具有承重能力的形状。这一成果不仅挑战了现有的设计规范,也为创建可展开且多功能的结构系统开辟了新途径。