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)|
|Number of pages||5|
|Journal||Beitrage zur Algebra und Geometrie|
|State||Published - 2001|
ASJC Scopus subject areas
- Algebra and Number Theory
- Geometry and Topology