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arXiv 2014-12-17 DOI 10.1007/s00454-015-9711-0 0 views

On the Multiple Covering Densities of Triangles

Sriamorn, Kirati · Wetayawanich, Akanat

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Given a convex disk K and a positive integer k, let ϑₜᵏ(K) and ϑₗᵏ(K) denote the k-fold translative covering density and the k-fold lattice covering density of K, respectively. Let T be a triangle. In a very recent paper, K. Sriamorn proved that ϑₗᵏ(T)=2k+1/2. In this paper, we will show that ϑₜᵏ(T)=ϑₗᵏ(T).

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