Unfolding Convex Polyhedra via Quasigeodesic Star Unfoldings

Abstract

We extend the notion of a star unfolding to be based on a simple quasigeodesic loop Q rather than on a point. This gives a new general method to unfold the surface of any convex polyhedron P to a simple, planar polygon: shortest paths from all vertices of P to Q are cut, and all but one segment of Q is cut.

18 pages, 10 figures

References in corpus (1)

• Star Unfolding Convex Polyhedra via Quasigeodesic Loops