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arXiv · 1312.4597

Indecomposable coverings with homothetic polygons

István Kovács
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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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BibTeXRIS

István Kovács. 2013-12-17. Indecomposable coverings with homothetic polygons. https://arxiv.org/abs/1312.4597

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