On a question of K. Bezdek and T. Odor on \(\Gamma\)-parallelotopes (Q1203446)
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scientific article; zbMATH DE number 118329
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a question of K. Bezdek and T. Odor on \(\Gamma\)-parallelotopes |
scientific article; zbMATH DE number 118329 |
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On a question of K. Bezdek and T. Odor on \(\Gamma\)-parallelotopes (English)
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8 February 1993
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It is shown that the statement of K. Bezdek and T. Odor: ``If a covering of \(E^ 3\) is a lattice packing of the convex compact body \(K\) with packing lattice \(\Lambda\) then there is a 2-dimensional sublattice \(\Lambda'\) of \(\Lambda\) which is covered by the set \(\cup\{K+z;z\in\Lambda'\}\)'' does not hold for dimensions \(n=6,7,8\)''.
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\(\Gamma\)-parallelotopes
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lattice packing
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0.744694173336029
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0.7234010100364685
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0.7220799326896667
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