Skip to main content
SpringerLink
Log in

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

  • Research Papers
  • Published:
aequationes mathematicae Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Everett, H. andHickerson, D.,Packing and covering by translates of certain nonconvex bodies. Proc. Amer. Math. Soc.75 (1979), 87–91.

    Google Scholar 

  2. Galovich, S. andStein, S. K.,Splitting of abelian groups by integers. Aequationes Math.22 (1981), 116–117.

    Google Scholar 

  3. Hajós, G., Über einfache und mehrfache Bedeckung des n-dimensionalen Raumes mit einent Würfelgitter. Math. Z.47 (1942), 427–467.

    Google Scholar 

  4. Hajós, G., Sur la factorisation des groupes abeliens. Časopis Pest. Mat. Fys.74 (1949), 157–162.

    Google Scholar 

  5. Hamaker, W.,Factoring groups and tiling space. Aequationes Math.9 (1973), 145–149.

    Google Scholar 

  6. Hamaker, W. andStein, S. K.,Splitting groups by integers. Proc. Amer. Math. Soc.46 (1974), 322–324.

    Google Scholar 

  7. Medyanik, A. I.,Decomposition of E n into space crosses (Russian). Ukrain. Geom. Sb. No. 23 (1980), 84–90.

    Google Scholar 

  8. Molnár, E., Sui mosaici dello spazio di dimensione n. Atti Accad. Naz. Lincei, Rend. Cl Sci. Fis. Mat. Natur.51 (1971), 177–185.

    Google Scholar 

  9. Robinson, R. M.,Multiple tilings of n-dimensional space by unit cubes. Math. Z.166 (1979), 225–264.

    Google Scholar 

  10. Sands, A. D.,On a problem of L. Fuchs. J. London Math. Soc.37 (1962), 277–284.

    Google Scholar 

  11. Stein, S. K.,Factoring by subsets. Pacific J. Math.22 (1967), 523–541.

    Google Scholar 

  12. Stein, S. K.,A symmetric star body that tiles but not as a lattice. Proc. Amer. Math. Soc.36 (1972), 543–548.

    Google Scholar 

  13. Stein, S. K.,Tiling space by congruent polyhedra. Bull. Amer. Math. Soc.80 (1974), 819–820.

    Google Scholar 

  14. Stein, S. K.,Algebraic tiling. Amer. Math. Monthly81 (1974), 445–462.

    Google Scholar 

  15. Szabó, S.,A mode of decomposition for finite abelian groups. K. Marx Univ. Economics, Dept. Math. Budapest 1979, No. 4.

  16. Szabó, S.,On decomposing finite abelian groups. Acta Math. Acad. Sci. Hung.36 (1980), 105–114.

    Google Scholar 

  17. Szabó, S., Veges Abel-csoportok és n-dimenziós mozaikok. Mat. Lapok28 (1977–1980), 305–318.

    Google Scholar 

  18. Szabó, S.,About a relationship of finite abelian groups and n-dimensional tilings (Russian). Ann. Univ. Sci. Budapest Eötvös Sect. Math.24 (1981), 29–43.

    Google Scholar 

  19. Szabó, S.,On mosaics consisting of multidimensional crosses. Acta Math. Acad. Sci. Hung.38 (1981), 191–203.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics in Civil Engineering, Technical University Budapest, Stoczek u. 2, H-1111, Budapest, Hungary

    S. Szabó

Authors
  1. S. Szabó
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Szabó, S. Non-integer lattice tilings by (k, n) truncated crosses. Aeq. Math. 26, 34–39 (1983). https://doi.org/10.1007/BF02189662

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02189662

AMS (1980) subject classification

Search

Navigation