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Non-integer lattice tilings by (k,n) truncated crosses

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Publication:791662
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DOI10.1007/BF02189662zbMath0536.20034OpenAlexW2094168884MaRDI QIDQ791662

Sándor Szabó

Publication date: 1983

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/136980

zbMATH Keywords

factorization of finite Abelian groupsinteger lattice tilingstruncated crosses


Mathematics Subject Classification ID

Arithmetic and combinatorial problems involving abstract finite groups (20D60) Finite abelian groups (20K01) Packing and covering in (n) dimensions (aspects of discrete geometry) (52C17) Lattice packing and covering (number-theoretic aspects) (11H31) Combinatorial aspects of tessellation and tiling problems (05B45)




Cites Work

  • Unnamed Item
  • Unnamed Item
  • Multiple tilings of \(n\)-dimensional space by unit cubes
  • Factoring groups and tiling space
  • Factoring by subsets
  • Über einfache und mehrfache Bedeckung des \(n\)-dimensionalen Raumes mit einem Würfelgitter
  • On a Problem of L. Fuchs
  • Packing and Covering by Translates of Certain Nonconvex Bodies
  • On decomposing finite abelian groups
  • On mosaics consisting of multidimensional crosses
  • Tiling space by congruent polyhedra
  • Algebraic Tiling
  • Splitting Groups by Integers
  • A symmetric star body that tiles but not as a lattice
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