Deflating the Pentagon

نویسندگان

  • Erik D. Demaine
  • Martin L. Demaine
  • Thomas Fevens
  • Antonio Mesa
  • Michael A. Soss
  • Diane L. Souvaine
  • Perouz Taslakian
  • Godfried T. Toussaint
چکیده

In this paper we consider deflations (inverse pocket flips) of n-gons for small n. 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. We describe a family of hexagons that deflate infinitely for a specific deflation sequence, yet induce no infinitely deflating quadrilateral. We also review the known understanding of quadrilateral deflation.

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تاریخ انتشار 2007