2021/03/20 by Yaoye Hong, Yinding Chi, Yanbin Li +3
Computer Science · Engineering · Mathematics · Neuroscience · Physics and Astronomy · #Advanced Materials and Mechanics #Boundary (topology) #Computer graphics (images) #Computer science #Curvature #Geometry #Interactive and Immersive Displays #Mathematical analysis #Mathematics #Morphing #Tactile and Sensory Interactions #physics.app-ph
paper · pdf · doi:10.1038/s41467-022-28187-x
20 pages, 5 figures
arxiv created 2021/03/20 · openalex publication_date 2022/01/26 · arxiv updated 2022/03/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
Kirigami, an ancient paper cutting art, offers a promising strategy for 2D-to-3D shape morphing through cut-guided deformation. Existing kirigami designs for target 3D curved shapes rely on intricate cut patterns in thin sheets, making the inverse design challenging. Motivated by the Gauss-Bonnet theorem that correlates the geodesic curvature along the boundary with the topological Gaussian curvature, here, we exploit programming the curvature of cut boundaries rather than complex cut patterns in kirigami sheets for target 3D curved topologies through both forward and inverse designs. Such a new strategy largely simplifies the inverse design. We demonstrate the achievement of varieties of dynamic 3D shape shifting under both mechanical stretching and remote magnetic actuation, and its potential application as an untethered predator-like kirigami soft robot. This study opens a new avenue to encode boundary curvatures for shape-programing materials with potential applications in shape-morphing structures, soft robots, and multifunctional devices.