Indecomposable coverings with homothetic polygons

Abstract

We prove that for any convex polygon $S$ with at least four sides, or a concave one with no parallel sides, and any $m>0$, there is an $m$-fold covering of the plane with homothetic copies of $S$ that cannot be decomposed into two coverings.

References in corpus (2)

• Decomposing Coverings and the Planar Sensor Cover Problem
• On splitting infinite-fold covers

Cited by in corpus (1)

• Convex Polygons are Self-Coverable