Skip to main content
SpringerLink
Log in

Tilings of space by knotted tiles

  • Article
  • Published:
The Mathematical Intelligencer 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.

References

  1. C. Adams,The Knot Book, New York: W. H. Freeman and Co., 1994.

    MATH  Google Scholar 

  2. T. Banchoff, Torus decompositions of regular polytopes in 4-space, inShaping Space—A Polyhedral Approach, edited by M. Senechal and G. Fleck, Boston: Birkhäuser, 1988.

    Google Scholar 

  3. H. S. M. Coxeter and G. C. Shephard, Regular 3-complexes with toroidal cells,J. Comb. Theory B 22 (1977), 131–138.

    Article  MATH  MathSciNet  Google Scholar 

  4. H. E. Debrunner, Tiling three-space with handlebodies,Studia Scientiarum Mathematicarum Hungarica 21 (1986), 201–202.

    MATH  MathSciNet  Google Scholar 

  5. V. Frei, O osmnactem Hilbertove problemy,Pokroky Matematiky, Fysiky Astronomie 20 (1975), 260–268 (in Czech).

    MATH  MathSciNet  Google Scholar 

  6. B. Grunbaum and G. C. Shephard,Tilings and Patterns, New York, W. H. Freeman and Co., 1987.

    Google Scholar 

  7. W. Kuperberg, Knotted lattice-like space fillers,Discrete Comput. Geom. (in press).

  8. E. E. Moise, Affine structures in 3-manifolds V. The Triangulation theorem and Hauptvermutung,Ann. Math. 56 (1952), 96–114.

    Article  MATH  MathSciNet  Google Scholar 

  9. K. Reinhardt, Zur Zerlegung der euklidischen Raume in kongruente Polytope,S.-Ber. Preuss. Akad. Wiss. Berlin (1928), 150–155.

  10. D. Rolfsen,Knots and Links, Publish or Perish Press, Berkeley 1976.

  11. P. Schmitt, A spacefilling cloverleaf knot, preprint.

  12. E. Schulte, Space fillers of higher genus,J. Comb. Theory A 68, no. 2 (1994), 438–453.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Williams College, 01267, Williamstown, MA, USA

    Colin C. Adams

Authors
  1. Colin C. Adams
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Supported in part by NSF Grant DMS-9302843 and NSF funds supporting the Regional Geometry Institute at Smith College, July, 1993.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Adams, C.C. Tilings of space by knotted tiles. The Mathematical Intelligencer 17, 41–51 (1995). https://doi.org/10.1007/BF03024898

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03024898

Keywords

Search

Navigation