2007/11/16 by Gregory N. Price, Erik D. Demaine, Price, Gregory N. +1
Computer Science · Mathematics · #Computational Geometry (cs.CG) #Computational Geometry and Mesh Generation #FOS: Computer and information sciences #Geometric and Algebraic Topology #Point processes and geometric inequalities #cs.CG
paper · pdf · doi:10.48550/arxiv.0711.2605
revised
openalex publication_date 2007/11/16 · arxiv created 2009/05/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A convex surface that is flat everywhere but on finitely many smooth curves (or "seams") and points is a seam form. We show that the only creases through the flat components of a seam form are either between vertices or tangent to the seams. As corollaries we resolve open problems about certain special seam forms: the flat components of a D-form have no creases at all, and the flat component of a pita-form has at most one crease, between the seam's endpoints.