Edge-Unfolding Polycubes with Orthogonally Convex Layers
Authors: Mirela Damian, Henk Meijer
Summary: A polycube is an orthogonal polyhedron composed of unit cubes glued collectively alongside complete faces, homeomorphic to a sphere. A polycube layer is the part of the polycube that lies between two horizontal cross-sections of the polycube at unit distance from one another. An edge unfolding of a polycube entails chopping its floor alongside any of the constituent dice edges and flattening it right into a single, non-overlapping planar piece. We present that any polycube with orthogonally convex layers could be edge unfolded
