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Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, Vol. 42, No. 2, pp. 307-311 (2001)
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Simple Polygons with an Infinite Sequence of Deflations

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

School of Computer Science, McGill University, 3480 University Street, Montreal, Quebec Canada H3A 2A7 e-mail: godfried@cs.mcgill.ca

**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 counter-example to this conjecture by exhibiting a family of polygons on which deflations go on forever.

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