Paper by Erik D. Demaine

Erik D. Demaine and Gregory N. Price, “Generalized D-Forms Have No Spurious Creases”, Discrete & Computational Geometry, volume 43, number 1, 2009, pages 179–186.

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.

This paper is also available from SpringerLink.

Copyright held by the authors.

The paper is available in PostScript (325k), gzipped PostScript (145k), and PDF (179k).
See information on file formats.
[Google Scholar search]

See also other papers by Erik Demaine.
These pages are generated automagically from a BibTeX file.
Last updated July 23, 2024 by Erik Demaine.