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.

• Type: Journal
• Year: 2000
• Where: CORR
• Authors: Joseph O'Rourke
• Keywords: Convex Polyhedron, CORR 2000, Education, Planar Convex Chain, Slice Curve