On the Development of the Intersection of a Plane with a Polytope
<|reference_start|>On the Development of the Intersection of a Plane with a Polytope: Define a ``slice'' curve as the intersection of a plane with the surface of a polytope, i.e., a convex polyhedron in three dimensions. We prove that a slice curve develops on a plane without self-intersection. The key tool used is a generalization of Cauchy's arm lemma to permit nonconvex ``openings'' of a planar convex chain.<|reference_end|>
@article{o'rourke2000on,
    title={On the Development of the Intersection of a Plane with a Polytope},
    author={Joseph O'Rourke},
    journal={arXiv preprint arXiv:cs/0006035},
    year={2000},
    number={Smith Technical Report 068},
    archivePrefix={arXiv},
    eprint={cs/0006035},
    primaryClass={cs.CG cs.DM}
}