Abstract
Given a convex disk K and a positive integer k, let \(\delta _T^k(K)\) and \(\delta _L^k(K)\) denote the k-fold translative packing density and the k-fold lattice packing density of K, respectively. Let T be a triangle. In a very recent paper (Sriamorn 2014, http://arxiv.org/abs/1412.5096), I proved that \(\delta _L^k(T)=\frac{2k^2}{2k+1}\). In this paper, I will show that \(\delta _T^k(T)=\delta _L^k(T)\).
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This work was supported by 973 Programs 2013CB834201 and 2011CB302401.
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Sriamorn, K. On the Multiple Packing Densities of Triangles. Discrete Comput Geom 55, 228–242 (2016). https://doi.org/10.1007/s00454-015-9748-0
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DOI: https://doi.org/10.1007/s00454-015-9748-0