Generalized D-Forms Have No Spurious Creases
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Demaine_Generalized D.pdf
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179.78 KB
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Author(s)
Demaine, Erik D.
Price, Gregory N.
Date Issued
September 2009
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
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.
MIT Department
Massachusetts Institute of Technology. Computer Science and Artificial Intelligence Laboratory
Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
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Creative Commons Attribution-Noncommercial-Share Alike 3.0
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DOI of Published Version
https://doi.org/10.1007/s00454-009-9218-7
