Electronic Resource
Springer
Periodica mathematica Hungarica
24 (1992), S. 189-192
ISSN:
1588-2829
Keywords:
52A45
;
52A20
;
Γ-parallelotops
;
lattice packing
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract K. Bezdek and T. Odor proved the following statement in [1]: If a covering ofE 3 is a lattice packing of the convex compact bodyK with packing lattice Λ (K is a Λ-parallelotopes) then there exists such a 2-dimensional sublattice Λ′ of Λ which is covered by the set ∪(K+z∣z ∈ Λ′). (K ∪L(Λ′) is a Λ′-parallelotopes). We prove that the statement is not true in the case of the dimensionsn=6, 7, 8.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF02330879
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