Edge-Unfolding Polycubes with Orthogonally Convex Layers
<|reference_start|>Edge-Unfolding Polycubes with Orthogonally Convex Layers: A polycube is an orthogonal polyhedron composed of unit cubes glued together along entire faces, homeomorphic to a sphere. A polycube layer is the section of the polycube that lies between two horizontal cross-sections of the polycube at unit distance from each other. An edge unfolding of a polycube involves cutting its surface along any of the constituent cube edges and flattening it into a single, non-overlapping planar piece. We show that any polycube with orthogonally convex layers can be edge unfolded.<|reference_end|>
@article{damian2024edge-unfolding,
    title={Edge-Unfolding Polycubes with Orthogonally Convex Layers},
    author={Mirela Damian and Henk Meijer},
    journal={arXiv preprint arXiv:2407.01326},
    year={2024},
    archivePrefix={arXiv},
    eprint={2407.01326},
    primaryClass={cs.CG}
}