Deflating the Pentagon

Authors:
Erik D. Demaine;Martin L. Demaine;Thomas Fevens;Antonio Mesa;Michael Soss;Diane L. Souvaine;Perouz Taslakian;Godfried Toussaint
Affiliations:
Massachusetts Institute of Technology,;Massachusetts Institute of Technology,;Concordia University,;Universidad de La Habana,;McGill University,;Tufts University,;McGill University,;McGill University,
Venue:
Computational Geometry and Graph Theory
Year:
2008

Citing 1
Cited 0

The Erdős-Nagy theorem and its ramifications

Computational Geometry: Theory and Applications - Special issue: The 11th Candian conference on computational geometry - CCCG 99

Quantified Score

Hi-index	0.00

Visualization

Abstract

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.