2025/05/08 by Z. Y. He, Simon D. Guest, He, Zeyuan +1 · 1 citation
Engineering · #Advanced Materials and Mechanics #FOS: Mathematics #Metric Geometry (math.MG) #Modular Robots and Swarm Intelligence #Structural Analysis and Optimization
paper · pdf · doi:10.48550/arxiv.2505.05629
openalex publication_date 2025/05/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A surface is considered flexible if it allows a continuous deformation that preserves both metric and smoothness. We introduce a novel construction method, called 'base + crinkle,' for generating a broad class of non-self-intersecting flexible closed polyhedral surfaces (i.e. flexible polyhedra). These flexible polyhedra can be non-triangulated, exhibit multiple kinematic degrees of freedom, and possess topologies beyond the sphere. The geometric result provides fresh insights into the geometry of origami and the design of engineering mechanisms, such as sealed-chamber robotics and distortion-free metamorphic grippers.