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  • 1
    Electronic Resource
    Electronic Resource
    A reduction of lattice tiling by translates of a cubical cluster (1987)
    Springer
    Discrete & computational geometry 2 (1987), S. 33-36 
    Details
    ISSN: 1432-0444
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract A cluster is the union of a finite number of cubes from the standard partition ofn-dimensional Euclidean space into unit cubes. If there is lattice tiling by translates of a cluster, then must there be a lattice tiling by translates of the cluster in which the translation vectors have only integer coordinates? In this article we prove that if the interior of the cluster is connected and the dimension is at most three, then the answer is affirmative.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF02187868
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