Indecomposable coverings with homothetic polygons
classification
💻 cs.CG
math.COmath.MG
keywords
coveringshomotheticsidescannotconcaveconvexcopiescovering
read the original 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.
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