Generalized D-Forms Have No Spurious Creases

Author(s)
Demaine, Erik D.; Price, Gregory N.
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Abstract
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.
Date issued
2009-09
URI
http://hdl.handle.net/1721.1/62210
Department
Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory; Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Journal
Discrete and computational geometry
Publisher
Springer-Verlag
Citation
Demaine, Erik, and Gregory Price. “Generalized D-Forms Have No Spurious Creases.” Discrete & Computational Geometry 43.1 (2010) : 179-186-186.
Version: Author's final manuscript
ISSN
0179-5376
1432-0444
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