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- W1992647845 abstract "Denote by Bn the n-dimensional unit ball centred at o. It is known that in every lattice packing of Bn there is a cylindrical hole of infinite length whenever n≥3. As a counterpart, this note mainly proves the following result: for any fixed ε with ε>0, there exist a periodic point set P(n, ε) and a constant c(n, ε) such that Bn + P(n, ε) is a packing in Rn, and the length of the longest segment contained in Rn{int(εBn) + P(n, ε)} is bounded by c(n, ε) from above. Generalizations and applications are presented." @default.
- W1992647845 created "2016-06-24" @default.
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- W1992647845 date "2000-12-01" @default.
- W1992647845 modified "2023-09-27" @default.
- W1992647845 title "Segments in ball packings" @default.
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- W1992647845 doi "https://doi.org/10.1112/s0025579300015692" @default.
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