1 research outputs found
A Developable Surface of Uniformly Negative Internal Angle Deficit
Abstract. The author addresses the Edge Unfolding Problem, the task of determining whether a given polyhedral mesh may be cut at its edges and developed into a planar polyhedral net. It is shown that simplyconnected surfaces of negative interior curvature cannot be developed. An example is then given of a surface of negative interior curvature with two boundary loops, isomorphic to a cylinder, which is developable.