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Updated: Apr 11, 2026

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Algorithmic lattice kirigami: A route to pluripotent materials.
Daniel M Sussman1, Yigil Cho2, Toen Castle1
1Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA 19104;
Summary
This study introduces inverse design for kirigami structures, enabling complex 3D shapes from flat sheets. A versatile lattice of cuts allows programming diverse target surfaces by altering folding directions.
Area of Science:
- Materials Science
- Mechanical Engineering
- Computational Design
Background:
- Kirigami, the Japanese art of paper cutting, offers a unique approach to transforming flat materials into complex three-dimensional structures.
- Traditional kirigami design often relies on empirical methods or predefined patterns.
- Developing systematic and programmable methods for kirigami-based shape transformation is an ongoing challenge.
Purpose of the Study:
- To demonstrate an inverse design paradigm for kirigami structures.
- To enable the folding of flat surfaces into complex target configurations using kirigami.
- To develop a generalizable method for programming diverse 3D shapes from a single kirigami cut pattern.
Main Methods:
- Utilizing a regular arrangement of kirigami elements.
- Employing arrays of disclination defect pairs on a lattice structure.
- Developing a pluripotent lattice of kirigami cuts on a flat sheet.
Main Results:
- A scheme using disclination defect pairs was presented to design a target stepped surface.
- A more general method was developed using a fixed lattice of kirigami cuts.
- This single lattice of cuts allows programming a wide variety of target surfaces by varying folding directions.
Conclusions:
- The inverse design paradigm effectively controls the folding of flat surfaces into complex 3D shapes using kirigami.
- The pluripotent lattice of cuts offers a versatile platform for programmable surface transformations.
- This approach has potential applications in deployable structures, robotics, and adaptive materials.
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