Generalized D-Forms Have No Spurious Creases
Author(s)Demaine, Erik D.; Price, Gregory N.
MetadataShow full item record
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.
DepartmentMassachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory; Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Discrete and computational geometry
Demaine, Erik, and Gregory Price. “Generalized D-Forms Have No Spurious Creases.” Discrete & Computational Geometry 43.1 (2010) : 179-186-186.
Author's final manuscript