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Researchers: [Dongwook Kwak], [GeonHee Cho], Jiook Chung

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Themes: Lightweight and deployable structures

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Origami-inspired structures with rigid panels now span thick, kirigami, and multi-sheet realizations, making unified kinematic analysis essential. Yet a general method that consolidates their loop constraints has been lacking. We present an automated approach that generates the Pfaffian constraint matrix for arbitrary rigid foldable structures (RFS). From a minimally extended data schema, the tool constructs the facet–hinge graph, extracts a minimum cycle basis that captures all constraints, and—via screw theory— assembles a velocity-level constraint matrix that encodes coupled rotation-translation loop closure. The framework computes and visualizes deploy/fold motions across diverse RFS, while eliminating tedious, error-prone constraint calculation.

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https://drive.google.com/file/d/1MjIxoJJTrJqAOL0X8vuAo6gnpfmhc_1D/view?usp=drive_link

https://drive.google.com/file/d/1AEnFhofE8Ekx849TrEPWresHKUrhrKko/view?usp=drive_link

https://drive.google.com/file/d/10OnQbf4JfzjHudgRlJUWDCZZx0RE-qRu/view?usp=drive_link

https://drive.google.com/file/d/1uwoFoOOLofe-UH98SKdOLYc44eh-0ZcR/view?usp=drive_link

https://drive.google.com/file/d/1KSFw9Of-wH58OjMIPr1RzI7Uth64lA0V/view?usp=drive_link

Corresponding Publications

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• Kwak, D., Cho, G., Chung, J., & Yang, J. (2026). A Unified Framework for Kinematic Simulation of Rigid Foldable Structures. arXiv preprint arXiv:2601.10225. [https://arxiv.org/abs/2601.10225] </aside>

Current Sponsors

https://drive.google.com/file/d/10OnQbf4JfzjHudgRlJUWDCZZx0RE-qRu/view?usp=drive_link