On the development of the intersection of a plane with a polytope

@article{ORourke2003OnTD,
  title={On the development of the intersection of a plane with a polytope},
  author={Joseph O'Rourke},
  journal={Comput. Geom.},
  year={2003},
  volume={24},
  pages={3-10}
}
  • Joseph O'Rourke
  • Published 2003
  • Computer Science, Mathematics
  • Comput. Geom.
  • 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. 
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