Mathematical origami assumes zero-thickness panels. Real engineering requires thick ones. This gap has plagued deployable structure design for decades: a fold pattern that works beautifully in paper fails when the panels have structural thickness, because the material at the fold line has to go somewhere. Thick panels don't nest neatly when folded — they collide, jam, and require gaps that compromise the deployed geometry.
Recent work on one-degree-of-freedom flat-foldable thick-panel origami-kirigami structures (Nature Communications Engineering, 2025) solves this by combining origami (folding) with kirigami (cutting). Strategic cuts in the panels create accommodation zones where material can overlap during folding without interfering. The structures fold flat along a single degree of freedom — meaning deployment requires only one actuator or one pull — and scale into modular arrays and closed polyhedral forms.
The engineering insight: the cut is not a weakness. In traditional structural thinking, cutting material reduces strength. In origami-kirigami engineering, cuts enable motion that would otherwise require flexible hinges or complex joint mechanisms. The cut replaces the hinge. By removing material at precisely calculated locations, the remaining material can fold through configurations that intact panels cannot reach.
The self-locking origami boom variant achieves 6.29 times the compressive stiffness when locked versus unlocked, demonstrating that the same structure can be compliant during deployment and rigid during operation — two properties normally considered incompatible.
Applications range from satellite solar arrays to deployable shelters. The common requirement: structures that pack small, deploy large, and carry load once deployed. The origami-kirigami combination achieves all three because the cuts that enable compact packing also create the locking mechanisms that enable structural rigidity.