2024/07/01 by Mirela Damian, Damian, Mirela, Henk Meijer +1
Engineering · #Advanced Materials and Mechanics #Computational Geometry (cs.CG) #F.2.2 #FOS: Computer and information sciences #Structural Analysis and Optimization
paper · pdf · doi:10.48550/arxiv.2407.01326
openalex publication_date 2024/07/01 · openalex created_date 2024/07/06 · openalex updated_date 2026/07/28
A polycube is an orthogonal polyhedron composed of unit cubes glued together along entire faces, and homeomorphic to a sphere. A layer of a polycube refers to the portion lying between two horizontal cross-sections spaced one unit apart. We present an unfolding algorithm that flattens any polycube with orthogonally convex layers into a single, non-overlapping planar piece. The algorithm makes cuts only along cube edges-that is, it is an edge unfolding.