Paper by Erik D. Demaine

Reference:

Erik D. Demaine, Martin L. Demaine, Diane L. Souvaine, and Perouz Taslakian, “Deflating The Pentagon”, in Abstracts from the 24th European Workshop on Computational Geometry (EuroCG 2007), Graz, Austria, March 19–21, 2007, pages 10–13.

BibTeX

@InProceedings{Deflation_EuroCG2007,
  AUTHOR        = {Erik D. Demaine and Martin L. Demaine and Diane L. Souvaine
                   and Perouz Taslakian},
  TITLE         = {Deflating The Pentagon},
  BOOKTITLE     = {Abstracts from the 24th European Workshop on Computational
                   Geometry (EuroCG 2007)},
  bookurl       = {http://ewcg07.tugraz.at/},
  ADDRESS       = {Graz, Austria},
  MONTH         = {March 19--21},
  YEAR          = 2007,
  PAGES         = {10--13},

  paperkind     = {abstract},
  length        = {4 pages},
  unrefereed    = 1,
  papers        = {Deflation_KyotoCGGT2007},
}

Abstract:

In this paper we consider deflations (inverse pocket flips) of quadrilaterals and pentagons. We characterize infinitely deflatable quadrilaterals by proving necessity of previously obtained sufficient conditions. Then we show that every pentagon can be deflated after finitely many deflations, and that any infinite deflation sequence of a pentagon results from deflating an induced quadrilateral on four of the vertices.

Length:

The abstract is 4 pages.

Availability:

The abstract is available in PostScript (330k), gzipped PostScript (142k), and PDF (128k).

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Related papers:

Deflation_KyotoCGGT2007 (Deflating The Pentagon)