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arXiv · 1501.00467

On the Multiple Packing Densities of Triangles

Kirati Sriamorn
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Abstract

Given a convex disk $K$ and a positive integer $k$, let $δ_T^k(K)$ and $δ_L^k(K)$ 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, K. Sriamorn proved that $δ_L^k(T)=\frac{2k^2}{2k+1}$. In this paper, I will show that $δ_T^k(T)=δ_L^k(T)$.

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Kirati Sriamorn. 2016-01-18. On the Multiple Packing Densities of Triangles. https://doi.org/10.1007/s00454-015-9748-0

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