Paper by Erik D. Demaine

Reference:

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.

BibTeX

@Article{DForms_DCG,
  AUTHOR        = {Erik D. Demaine and Gregory N. Price},
  TITLE         = {Generalized {D}-Forms Have No Spurious Creases},
  JOURNAL       = {Discrete \& Computational Geometry},
  journalurl    = {http://link.springer.de/link/service/journals/00454/},
  VOLUME        = 43,
  NUMBER        = 1,
  PAGES         = {179--186},
  YEAR          = 2009,

  withstudent   = 1,
  doi           = {https://dx.doi.org/10.1007/s00454-009-9218-7},
  dblp          = {https://dblp.org/rec/journals/dcg/DemaineP10},
  comments      = {This paper is also available from <A HREF="http://dx.doi.org/10.1007/s00454-009-9218-7">SpringerLink</A> and as <A HREF="https://arXiv.org/abs/0711.2605">arXiv:0711.2605</A>.},
  copyright     = {Copyright held by the authors.},
}

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.

Comments:

This paper is also available from SpringerLink and as arXiv:0711.2605.

Copyright:

Copyright held by the authors.

Availability:

The paper is available in PostScript (325k), gzipped PostScript (145k), and PDF (179k).

See information on file formats.

[Google Scholar search]