On convexification of polygons by pops

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On convexification of polygons by pops

Given a polygon P in the plane, a pop operation is the reflection of a vertex with respect to the line through its adjacent vertices. We define a family of alternating polygons, and show that any polygon from this family cannot be convexified by pop operations. This family contains simple, as well as non-simple (i.e., self-intersecting) polygons, as desired. We thereby answer in the negative an...

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ژورنال

عنوان ژورنال: Discrete Mathematics

سال: 2010

ISSN: 0012-365X

DOI: 10.1016/j.disc.2010.05.024