Unfolding Convex Polyhedra via Quasigeodesics

We show that cutting shortest paths from every vertex of a convex polyhedron to a simple closed quasigeodesic, and cutting all but a short segment of the quasigeodesic, unfolds the surface to a planar simple polygon.

• Type: Journal
• Year: 2007
• Where: CORR
• Authors: Jin-ichi Itoh, Joseph O'Rourke, Costin Vîlcu
• Keywords: Convex Polyhedron, CORR 2007, Education, Planar Simple Polygon, Shortest Paths