Tailoring the stiffness of kirigami space frames through geometric patterning

Kirigami space frames—three-dimensional lattices formed by cutting and deploying flat sheets—offer opportunities to design structures that exhibit target nonlinear mechanical behaviors. We employ a parametric model of spin valence kirigami, a coupled lift-and-twist deployable pattern, to investigate how geometry controls stiffness in architected materials. By varying the in-plane rotation and density of unit cuts, we tune the global stiffness of the structure without adding material or changing the sheet area. Finite element simulations reveal an unexpected inversion of conventional behavior: deeper configurations are more flexible, while shallower ones are stiffer. This reversal emerges from mechanical coupling between local plate bending and global load transfer across the lattice network. By tailoring cut orientation and spacing, we show how kirigami space frames can transition from flexible to load-bearing regimes, providing a geometric route for designing lightweight, scalable metamaterials for applications spanning architectural roofs, floors, and adaptive aerospace and automotive components.