Simple polygons with an infinite sequence of deflations

Thomas Fevens; Antonio Hernandez; Antonio Mesa; Patrick Morin; Michael Soss; Godfried Toussaint

Simple polygons with an infinite sequence of deflations

Thomas Fevens, Antonio Hernandez, Antonio Mesa, Patrick Morin, Michael Soss, Godfried Toussaint

Computer Science

Research output: Contribution to journal › Article › peer-review

Abstract

Given a simple polygon in the plane, a deflation is defined as the inverse of a flip in the Erdos-Nagy sense. In 1993 Bernd Wegner conjectured that every simple polygon admits only a finite number of deflations. In this note we describe a counterexample to this conjecture by exhibiting a family of polygons on which deflations go on forever.

Original language	English (US)
Pages (from-to)	307-311
Number of pages	5
Journal	Beitrage zur Algebra und Geometrie
Volume	42
Issue number	2
State	Published - 2001

ASJC Scopus subject areas

Algebra and Number Theory
Geometry and Topology

Cite this

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Simple polygons with an infinite sequence of deflations

Abstract

ASJC Scopus subject areas

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