Hyper Yoshimura: How a slight tweak on a classical folding pattern unleashes meta-stability for deployable robots

Deployable structures inspired by origami offer lightweight, compact, and reconfigurable solutions for robotic and architectural applications. We present a geometric and mechanical framework for Yoshimura-Ori modules that supports a diverse set of metastable states, including newly identified asymmetric "pop-out" and "hyperfolded" configurations. These states are governed by three parameters -- tilt angle, phase shift, and slant height -- and enable discrete, programmable transformations. Using this model, we develop forward and inverse kinematic strategies to stack modules into deployable booms that approximate complex 3D shapes. We validate our approach through mechanical tests and demonstrate a tendon- and pneumatically-actuated Yoshimura Space Crane capable of object manipulation, solar tracking, and high load-bearing performance. A meter-scale solar charging station further illustrates the design's scalability. These results establish Yoshimura-Ori structures as a promising platform for adaptable, multifunctional deployable systems in both terrestrial and space environments.

"Golden Ratio Yoshimura" for Meta-Stable and Massively Reconfigurable Deployment

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.