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The problem of finding the asymptotic behavior of the maximal density of sphere packings in high Euclidean dimensions is one of the most fascinating and challenging problems in discrete geometry.
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In Ref. [ 7 ] , a disordered packing
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Already in ℝ 10 \mathbb{R}^{10} , we encounter for the first time a non-lattice (i.e., periodic) packing that is denser than all known lattice packings; see Ref. [ 12 ]
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See Ref. [ 7 ] and references therein
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